diff --git "a/train/clean/people4_num1000.jsonl" "b/train/clean/people4_num1000.jsonl"
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@@ -1,1000 +0,0 @@
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Abigail, David, and Noah. Ethan asserted: \"David is a knave or Abigail is a knave\". Abigail was heard saying, \"If Abigail is a knight then David is a knight\". \"Noah is a knight and Ethan is a knave\" - David. Noah remarked, \"Abigail is a knave if and only if Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Abigail", "David", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Ethan is a knave, Abigail is a knight, David is a knight, and Noah is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Abigail is a knight\n(3) David is a knight\n(4) Noah is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that David is a knave or Abigail is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Noah is a knight and Ethan is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Noah is a knight and Ethan is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Ethan is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that If Abigail is a knight then David is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knight then David is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Ethan is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that If Abigail is a knight then David is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knight then David is a knight.", "We have exhausted all possibilities for Abigail, Noah, and David, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that David is a knave or Abigail is a knave.", "Assume David is a knight. No contradiction is found in their claim that Noah is a knight and Ethan is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Ethan is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Abigail is a knight then David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 0)))", "index": 100}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Sophia, Mason, and Abigail. Elizabeth stated, \"Abigail is a knave and Mason is a knave\". In Sophia's words: \"If Abigail is a knave then Abigail is a knight\". \"Sophia is a knight and Elizabeth is a knight,\" Mason declared. \"Mason is a knight and Abigail is a knight,\" Abigail mentioned. So who is a knight and who is a knave?", "names": ["Elizabeth", "Sophia", "Mason", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Elizabeth is a knight, Sophia is a knave, Mason is a knave, and Abigail is a knave.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Sophia is a knave\n(3) Mason is a knave\n(4) Abigail is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Abigail is a knave and Mason is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Elizabeth that Abigail is a knave and Mason is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Mason is a knight and Abigail is a knight.", "Mason cannot be a knight, because this would contradict the claim of Elizabeth that Abigail is a knave and Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Sophia is a knight and Elizabeth is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that If Abigail is a knave then Abigail is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Abigail is a knave then Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 3)))", "index": 101}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Harper, Amelia, and Emily. As Lucas put it, \"Lucas is a knight or Harper is a knight\". \"Lucas is a knight or Lucas is a knave,\" Harper declared. Amelia asserted: \"Lucas is a knight and Harper is a knave\". In a statement by Emily: \"If Harper is a knave then Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Harper", "Amelia", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Lucas is a knight, Harper is a knight, Amelia is a knave, and Emily is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Harper is a knight\n(3) Amelia is a knave\n(4) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Lucas is a knight or Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Lucas is a knight or Lucas is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Lucas is a knight and Harper is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Lucas is a knight and Harper is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Harper is a knave then Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 0)), ('and', ('telling-truth', 0), ('lying', 1)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 102}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Sofia, William, and Chloe. \"If Joseph is a knight then William is a knight,\" Joseph claimed. In Sofia's words: \"Joseph is a knight or Chloe is a knight\". In a statement by William: \"Joseph is not a knave\". Chloe was heard saying, \"William is not a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Sofia", "William", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Joseph is a knight, Sofia is a knight, William is a knight, and Chloe is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Sofia is a knight\n(3) William is a knight\n(4) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that If Joseph is a knight then William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Joseph is a knight or Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that William is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('lying', 0)), ('not', ('lying', 2)))", "index": 103}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Harper, Henry, and Alexander. According to Scarlett, \"Alexander is a knave if and only if Alexander is a knight\". Harper was heard saying, \"If Scarlett is a knight then Harper is a knight\". Henry commented, \"Harper is a knight or Alexander is a knave\". \"Henry is not a knave,\" Alexander mentioned. So who is a knight and who is a knave?", "names": ["Scarlett", "Harper", "Henry", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Scarlett is a knave, Harper is a knight, Henry is a knight, and Alexander is a knight.", "solution_text_format": "(1) Scarlett is a knave\n(2) Harper is a knight\n(3) Henry is a knight\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Scarlett cannot be a knight, because this would contradict the claim of their own that Alexander is a knave if and only if Alexander is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Henry is not a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Harper is a knight or Alexander is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Scarlett is a knight then Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 3)), ('not', ('lying', 2)))", "index": 104}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Owen, Oliver, and Amelia. Riley said that Amelia is not a knave. Owen told you that Oliver is a knave or Amelia is a knave. As Oliver put it, \"Riley is a knight and Amelia is a knave\". Amelia expressed that Oliver is a knight and Amelia is a knight. So who is a knight and who is a knave?", "names": ["Riley", "Owen", "Oliver", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Riley is a knave, Owen is a knight, Oliver is a knave, and Amelia is a knave.", "solution_text_format": "(1) Riley is a knave\n(2) Owen is a knight\n(3) Oliver is a knave\n(4) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Amelia is not a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Oliver is a knight and Amelia is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Amelia is a knave.", "Oliver cannot be a knave, because this would contradict the claim of Amelia that Oliver is a knight and Amelia is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the claim of Riley that Amelia is not a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Amelia is not a knave.", "Amelia cannot be a knight, because this would contradict the false claim of Riley that Amelia is not a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Oliver is a knight and Amelia is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Amelia is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Riley is a knight and Amelia is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Oliver is a knave or Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('lying', 2), ('lying', 3)), ('and', ('telling-truth', 0), ('lying', 3)), ('and', ('telling-truth', 2), ('telling-truth', 3)))", "index": 105}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Elizabeth, Joseph, and Liam. Emily said, \"Liam is not a knave.\" Elizabeth commented, \"If Emily is a knave then Joseph is a knight\". Joseph said, \"If Liam is a knave then Elizabeth is a knave.\" Liam asserted: \"Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Elizabeth", "Joseph", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Emily is a knight, Elizabeth is a knight, Joseph is a knight, and Liam is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Elizabeth is a knight\n(3) Joseph is a knight\n(4) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Liam is a knave then Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Emily is a knave then Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 3), ('lying', 1)), ('telling-truth', 2))", "index": 106}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Abigail, Ava, and Ethan. In Harper's words: \"If Ava is a knave then Abigail is a knight\". Abigail remarked, \"Ava is a knave\". Ava told you that If Ava is a knight then Harper is a knight. Ethan was heard saying, \"Ava is not a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Abigail", "Ava", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Harper is a knight, Abigail is a knave, Ava is a knight, and Ethan is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Abigail is a knave\n(3) Ava is a knight\n(4) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that If Ava is a knave then Abigail is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Ava is a knight then Harper is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Ava is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Ava is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Ava is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Ava is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 1)), ('lying', 2), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 2)))", "index": 107}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Mason, Zoey, and Alexander. Aiden noted, \"Alexander is not a knight\". Mason remarked, \"Aiden is a knight or Alexander is a knight\". Zoey noted, \"Aiden is a knight or Mason is a knight\". Alexander expressed that Zoey is a knave or Zoey is a knight. So who is a knight and who is a knave?", "names": ["Aiden", "Mason", "Zoey", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Aiden is a knave, Mason is a knight, Zoey is a knight, and Alexander is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Mason is a knight\n(3) Zoey is a knight\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Aiden that Alexander is not a knight.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Zoey is a knave or Zoey is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Zoey is a knave or Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Aiden is a knight or Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Aiden is a knight or Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 2)))", "index": 108}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jackson, Victoria, Joseph, and Ethan. As Jackson put it, \"Ethan is a knight\". Victoria said that Ethan is a knave and Jackson is a knave. Joseph commented, \"Jackson is a knave if and only if Ethan is a knave\". Ethan commented, \"Victoria is a knight or Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Victoria", "Joseph", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Jackson is a knight, Victoria is a knave, Joseph is a knight, and Ethan is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Victoria is a knave\n(3) Joseph is a knight\n(4) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Victoria is a knight or Joseph is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Jackson is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Ethan is a knave and Jackson is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('and', ('lying', 3), ('lying', 0)), ('<=>', ('lying', 0), ('lying', 3)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "index": 109}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Liam, Penelope, and Charlotte. \"Liam is a knave and Liam is a knight,\" Lily declared. Liam expressed that If Liam is a knight then Charlotte is a knave. According to Penelope, \"Liam is a knave\". Charlotte said, \"Liam is a knave or Charlotte is a knight.\" So who is a knight and who is a knave?", "names": ["Lily", "Liam", "Penelope", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Lily is a knave, Liam is a knight, Penelope is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Liam is a knight\n(3) Penelope is a knave\n(4) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Lily cannot be a knight, because this would contradict the claim of their own that Liam is a knave and Liam is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Liam is a knave and Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Liam is a knight then Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Liam that If Liam is a knight then Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Liam is a knave or Charlotte is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Liam is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 3)), ('lying', 1), ('or', ('lying', 1), ('telling-truth', 3)))", "index": 110}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, Samuel, Riley, and Logan. As Sebastian put it, \"Samuel is a knight and Logan is a knave\". In a statement by Samuel: \"Sebastian is a knight if and only if Samuel is a knight\". Riley asserted: \"If Logan is a knight then Riley is a knight\". Logan asserted: \"Riley is a knave or Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Samuel", "Riley", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Sebastian is a knight, Samuel is a knight, Riley is a knight, and Logan is a knave.", "solution_text_format": "(1) Sebastian is a knight\n(2) Samuel is a knight\n(3) Riley is a knight\n(4) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Samuel is a knight and Logan is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Samuel is a knight.", "Logan cannot be a knight, because this would contradict the claim of Sebastian that Samuel is a knight and Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Riley is a knave or Sebastian is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Logan is a knight then Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('lying', 2), ('lying', 0)))", "index": 111}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Harper, Jacob, and Lily. Joseph said, \"Lily is a knave.\" Harper was heard saying, \"Lily is a knave\". \"Lily is a knave and Jacob is a knight\" - Jacob. Lily said, \"Harper is a knight or Jacob is a knave.\" So who is a knight and who is a knave?", "names": ["Joseph", "Harper", "Jacob", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Joseph is a knave, Harper is a knave, Jacob is a knave, and Lily is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Harper is a knave\n(3) Jacob is a knave\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Joseph that Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Harper is a knight or Jacob is a knave.", "Harper cannot be a knight, because this would contradict the false claim of Lily that Harper is a knight or Jacob is a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that Lily is a knave.", "We have exhausted all possibilities for Harper and Lily, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Harper is a knight or Jacob is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Lily is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Lily is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Jacob is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Lily is a knave and Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('lying', 3), ('and', ('lying', 3), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 2)))", "index": 112}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Ava, Logan, and Alexander. James expressed that Alexander is a knight if and only if Ava is a knave. Ava was heard saying, \"Logan is a knight if and only if Alexander is a knight\". Logan told you that Logan is a knight if and only if James is a knave. Alexander noted, \"If Logan is a knave then Alexander is a knight\". So who is a knight and who is a knave?", "names": ["James", "Ava", "Logan", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "James is a knave, Ava is a knight, Logan is a knight, and Alexander is a knight.", "solution_text_format": "(1) James is a knave\n(2) Ava is a knight\n(3) Logan is a knight\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Ava is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Logan is a knave then Alexander is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if James is a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Logan is a knight if and only if James is a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Logan is a knave then Alexander is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if James is a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Logan is a knight if and only if James is a knave.", "We have exhausted all possibilities for Logan and Alexander, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Ava is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Logan is a knave then Alexander is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight if and only if James is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Logan is a knight if and only if Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('->', ('lying', 2), ('telling-truth', 3)))", "index": 113}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Matthew, Evelyn, and William. \"Matthew is a knight,\" Owen declared. Matthew said that William is a knave and Evelyn is a knave. Evelyn expressed that If Evelyn is a knight then Owen is a knave. William asserted: \"Matthew is a knight if and only if Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Matthew", "Evelyn", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Owen is a knave, Matthew is a knave, Evelyn is a knight, and William is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Matthew is a knave\n(3) Evelyn is a knight\n(4) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that William is a knave and Evelyn is a knave.", "William cannot be a knight, because this would contradict the claim of Matthew that William is a knave and Evelyn is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Matthew that William is a knave and Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that If Evelyn is a knight then Owen is a knave.", "We have exhausted all possibilities for Evelyn and William, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the claim of Owen that Matthew is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the false claim of Owen that Matthew is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that William is a knave and Evelyn is a knave.", "Assume William is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of William that Matthew is a knight if and only if Evelyn is a knight.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that If Evelyn is a knight then Owen is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Evelyn is a knight then Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('lying', 3), ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "index": 114}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Charlotte, Zoey, and Samuel. In Ella's words: \"Zoey is a knight and Samuel is a knight\". Charlotte asserted: \"Ella is a knave or Zoey is a knight\". Zoey was heard saying, \"If Charlotte is a knave then Ella is a knight\". Samuel said that Zoey is a knave. So who is a knight and who is a knave?", "names": ["Ella", "Charlotte", "Zoey", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Ella is a knave, Charlotte is a knight, Zoey is a knight, and Samuel is a knave.", "solution_text_format": "(1) Ella is a knave\n(2) Charlotte is a knight\n(3) Zoey is a knight\n(4) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Zoey is a knight and Samuel is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Charlotte is a knave then Ella is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Ella is a knave or Zoey is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Zoey is a knave.", "Samuel cannot be a knave, because this would contradict the claim of Ella that Zoey is a knight and Samuel is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Ella is a knave or Zoey is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the claim of Ella that Zoey is a knight and Samuel is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Zoey is a knight and Samuel is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Charlotte is a knave then Ella is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Ella is a knave or Zoey is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Ella that Zoey is a knight and Samuel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 0)), ('lying', 2))", "index": 115}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Chloe, Benjamin, and Liam. Elizabeth commented, \"Chloe is a knave and Benjamin is a knight\". Chloe noted, \"Elizabeth is a knight if and only if Liam is a knave\". In Benjamin's words: \"Liam is a knave or Chloe is a knave\". In Liam's words: \"Liam is a knight and Benjamin is a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Chloe", "Benjamin", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Elizabeth is a knave, Chloe is a knight, Benjamin is a knave, and Liam is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Chloe is a knight\n(3) Benjamin is a knave\n(4) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Chloe is a knave and Benjamin is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Elizabeth that Chloe is a knave and Benjamin is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Liam is a knight and Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Liam that Liam is a knight and Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Elizabeth that Chloe is a knave and Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the false claim of Chloe that Elizabeth is a knight if and only if Liam is a knave.", "We have exhausted all possibilities for Liam and Chloe, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Chloe is a knave and Benjamin is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Liam is a knight and Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Liam is a knave or Chloe is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Liam is a knave or Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('or', ('lying', 3), ('lying', 1)), ('and', ('telling-truth', 3), ('lying', 2)))", "index": 116}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Lucas, Chloe, and Alexander. \"Alexander is a knight\" - Daniel. Lucas noted, \"Alexander is a knight\". \"Daniel is a knight and Alexander is a knave\" - Chloe. Alexander told you that Chloe is a knight and Alexander is a knight. So who is a knight and who is a knave?", "names": ["Daniel", "Lucas", "Chloe", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Daniel is a knave, Lucas is a knave, Chloe is a knave, and Alexander is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Lucas is a knave\n(3) Chloe is a knave\n(4) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Chloe is a knight and Alexander is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Alexander is a knave.", "Chloe cannot be a knave, because this would contradict the claim of Alexander that Chloe is a knight and Alexander is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Daniel that Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the false claim of Daniel that Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Chloe is a knight and Alexander is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Alexander is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Daniel is a knight and Alexander is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Alexander is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('telling-truth', 3), ('and', ('telling-truth', 0), ('lying', 3)), ('and', ('telling-truth', 2), ('telling-truth', 3)))", "index": 117}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Matthew, Benjamin, and Sebastian. \"If Sebastian is a knave then Penelope is a knight,\" Penelope declared. Matthew said, \"If Matthew is a knight then Benjamin is a knave.\" Benjamin commented, \"Penelope is a knave if and only if Sebastian is a knight\". Sebastian said, \"Penelope is a knight or Matthew is a knight.\" So who is a knight and who is a knave?", "names": ["Penelope", "Matthew", "Benjamin", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Penelope is a knight, Matthew is a knight, Benjamin is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Matthew is a knight\n(3) Benjamin is a knave\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that If Sebastian is a knave then Penelope is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Penelope is a knight or Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Matthew is a knight then Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Matthew that If Matthew is a knight then Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Penelope is a knave if and only if Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "index": 118}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Ethan, Samuel, and Emily. \"Emily is not a knight\" - James. Ethan said that Emily is a knave. Samuel stated, \"Ethan is a knight and Emily is a knight\". Emily was heard saying, \"Samuel is a knight or Samuel is a knave\". So who is a knight and who is a knave?", "names": ["James", "Ethan", "Samuel", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "James is a knave, Ethan is a knave, Samuel is a knave, and Emily is a knight.", "solution_text_format": "(1) James is a knave\n(2) Ethan is a knave\n(3) Samuel is a knave\n(4) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Emily is not a knight.", "Emily cannot be a knight, because this would contradict the claim of James that Emily is not a knight.", "Emily cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight or Samuel is a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Samuel is a knight or Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Ethan is a knight and Emily is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Emily is a knave.", "Ethan cannot be a knave, because this would contradict the claim of Samuel that Ethan is a knight and Emily is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Ethan is a knight and Emily is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Emily is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('lying', 3), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 2)))", "index": 119}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Mason, Samuel, and Daniel. \"If Mason is a knight then Samuel is a knave,\" David declared. \"Mason is a knight if and only if David is a knave,\" Mason declared. Samuel commented, \"Daniel is a knight or David is a knave\". Daniel expressed that David is a knight and Samuel is a knave. So who is a knight and who is a knave?", "names": ["David", "Mason", "Samuel", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "David is a knave, Mason is a knight, Samuel is a knight, and Daniel is a knave.", "solution_text_format": "(1) David is a knave\n(2) Mason is a knight\n(3) Samuel is a knight\n(4) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that If Mason is a knight then Samuel is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Mason is a knight if and only if David is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that Mason is a knight if and only if David is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that If Mason is a knight then Samuel is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Mason is a knight if and only if David is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Daniel is a knight or David is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that David is a knight and Samuel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that David is a knight and Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 2)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('or', ('telling-truth', 3), ('lying', 0)), ('and', ('telling-truth', 0), ('lying', 2)))", "index": 120}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Abigail, Harper, and James. Emily was heard saying, \"If James is a knight then James is a knave\". Abigail commented, \"James is a knave\". Harper said, \"Emily is a knave if and only if Harper is a knight.\" \"If Harper is a knight then Abigail is a knight\" - James. So who is a knight and who is a knave?", "names": ["Emily", "Abigail", "Harper", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Emily is a knave, Abigail is a knave, Harper is a knave, and James is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Abigail is a knave\n(3) Harper is a knave\n(4) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that If James is a knight then James is a knave.", "James cannot be a knight, because this would contradict the claim of Emily that If James is a knight then James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that If Harper is a knight then Abigail is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Emily is a knave if and only if Harper is a knight.", "Harper cannot be a knave, because this would contradict the false claim of their own that Emily is a knave if and only if Harper is a knight.", "We have exhausted all possibilities for Harper and James, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that If James is a knight then James is a knave.", "Assume James is a knight. No contradiction is found in their claim that If Harper is a knight then Abigail is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Emily is a knave if and only if Harper is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Abigail cannot be a knave, because this would contradict the claim of James that If Harper is a knight then Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Harper is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 3)), ('lying', 3), ('<=>', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 1)))", "index": 121}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Sofia, Sophia, and Michael. Lucas stated, \"If Sofia is a knight then Sofia is a knave\". Sofia asserted: \"Lucas is a knight and Sofia is a knight\". \"If Sofia is a knave then Michael is a knave,\" Sophia claimed. Michael said, \"If Sophia is a knave then Sofia is a knave.\" So who is a knight and who is a knave?", "names": ["Lucas", "Sofia", "Sophia", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Lucas is a knight, Sofia is a knave, Sophia is a knave, and Michael is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Sofia is a knave\n(3) Sophia is a knave\n(4) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that If Sofia is a knight then Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Lucas that If Sofia is a knight then Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Lucas is a knight and Sofia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Sofia is a knave then Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Sophia that If Sofia is a knave then Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knave then Sofia is a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Sofia is a knave then Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Sophia is a knave then Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 1), ('lying', 3)), ('->', ('lying', 2), ('lying', 1)))", "index": 122}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Evelyn, Sophia, and Charlotte. Mia remarked, \"Sophia is a knave or Charlotte is a knave\". Evelyn commented, \"Mia is a knave or Mia is a knight\". In a statement by Sophia: \"If Evelyn is a knight then Charlotte is a knave\". Charlotte said, \"Mia is not a knight.\" So who is a knight and who is a knave?", "names": ["Mia", "Evelyn", "Sophia", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Mia is a knight, Evelyn is a knight, Sophia is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Evelyn is a knight\n(3) Sophia is a knight\n(4) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Sophia is a knave or Charlotte is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Evelyn is a knight then Charlotte is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Mia is a knave or Mia is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Mia that Sophia is a knave or Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Mia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 3)), ('not', ('telling-truth', 0)))", "index": 123}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Noah, Oliver, and Charlotte. Grace asserted: \"Oliver is a knave and Charlotte is a knight\". Noah commented, \"Oliver is a knight\". Oliver told you that Charlotte is a knave if and only if Charlotte is a knight. Charlotte stated, \"Oliver is a knave or Grace is a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Noah", "Oliver", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Grace is a knight, Noah is a knave, Oliver is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Noah is a knave\n(3) Oliver is a knave\n(4) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Oliver is a knave and Charlotte is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Grace that Oliver is a knave and Charlotte is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Oliver is a knave or Grace is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Oliver is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('telling-truth', 2), ('<=>', ('lying', 3), ('telling-truth', 3)), ('or', ('lying', 2), ('lying', 0)))", "index": 124}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Avery, Elizabeth, and Sebastian. James commented, \"Sebastian is not a knave\". \"James is a knight or Elizabeth is a knight\" - Avery. Elizabeth said, \"Elizabeth is a knight.\" Sebastian was heard saying, \"If Elizabeth is a knight then James is a knave\". So who is a knight and who is a knave?", "names": ["James", "Avery", "Elizabeth", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "James is a knight, Avery is a knight, Elizabeth is a knave, and Sebastian is a knight.", "solution_text_format": "(1) James is a knight\n(2) Avery is a knight\n(3) Elizabeth is a knave\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Elizabeth is a knight then James is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Sebastian that If Elizabeth is a knight then James is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that James is a knight or Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 2), ('->', ('telling-truth', 2), ('lying', 0)))", "index": 125}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Ethan, Harper, and Liam. In a statement by Grace: \"Ethan is a knave or Liam is a knave\". As Ethan put it, \"Grace is not a knave\". As Harper put it, \"If Grace is a knave then Harper is a knight\". According to Liam, \"Liam is a knight and Harper is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Ethan", "Harper", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Grace is a knight, Ethan is a knight, Harper is a knight, and Liam is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Ethan is a knight\n(3) Harper is a knight\n(4) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Ethan is a knave or Liam is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Grace is not a knave.", "Liam cannot be a knight, because this would contradict the claim of Grace that Ethan is a knave or Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Liam is a knight and Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Grace is a knave then Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('not', ('lying', 0)), ('->', ('lying', 0), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('telling-truth', 2)))", "index": 126}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Aria, Elizabeth, and Emily. According to Evelyn, \"Elizabeth is not a knight\". \"Emily is not a knight,\" Aria claimed. \"Aria is a knave and Aria is a knight,\" Elizabeth declared. \"Elizabeth is a knave,\" Emily declared. So who is a knight and who is a knave?", "names": ["Evelyn", "Aria", "Elizabeth", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Evelyn is a knight, Aria is a knave, Elizabeth is a knave, and Emily is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Aria is a knave\n(3) Elizabeth is a knave\n(4) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Evelyn that Elizabeth is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Aria is a knave and Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Emily is not a knight.", "Emily cannot be a knight, because this would contradict the claim of Aria that Emily is not a knight.", "Emily cannot be a knave, because this would contradict the false claim of their own that Elizabeth is a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('and', ('lying', 1), ('telling-truth', 1)), ('lying', 2))", "index": 127}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Ava, Noah, and Scarlett. In Benjamin's words: \"Scarlett is a knave\". Ava stated, \"Scarlett is a knave and Benjamin is a knight\". Noah said that Noah is a knight if and only if Scarlett is a knight. Scarlett commented, \"Noah is a knave or Ava is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Ava", "Noah", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Benjamin is a knave, Ava is a knave, Noah is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Ava is a knave\n(3) Noah is a knave\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Benjamin that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Noah is a knave or Ava is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Noah is a knight if and only if Scarlett is a knight.", "Noah cannot be a knave, because this would contradict the false claim of their own that Noah is a knight if and only if Scarlett is a knight.", "We have exhausted all possibilities for Noah and Scarlett, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Noah is a knave or Ava is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Noah is a knight if and only if Scarlett is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave and Benjamin is a knight.", "Ava cannot be a knave, because this would contradict the claim of Scarlett that Noah is a knave or Ava is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Scarlett is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave and Benjamin is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Scarlett is a knave and Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('and', ('lying', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('lying', 2), ('telling-truth', 1)))", "index": 128}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Isabella, Emily, and Victoria. Mason told you that Isabella is not a knight. In a statement by Isabella: \"If Victoria is a knave then Victoria is a knight\". Emily remarked, \"Mason is not a knave\". Victoria said, \"Isabella is a knave or Emily is a knave.\" So who is a knight and who is a knave?", "names": ["Mason", "Isabella", "Emily", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Mason is a knave, Isabella is a knight, Emily is a knave, and Victoria is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Isabella is a knight\n(3) Emily is a knave\n(4) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Isabella is not a knight.", "Isabella cannot be a knight, because this would contradict the claim of Mason that Isabella is not a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that If Victoria is a knave then Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Isabella that If Victoria is a knave then Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Isabella is a knave or Emily is a knave.", "We have exhausted all possibilities for Victoria and Isabella, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Isabella is not a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Victoria is a knave then Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Isabella is a knave or Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Mason is not a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Mason is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 3)), ('not', ('lying', 0)), ('or', ('lying', 1), ('lying', 2)))", "index": 129}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Liam, Riley, and Lily. \"Liam is a knave,\" Ella declared. Liam told you that Ella is a knight and Riley is a knave. According to Riley, \"Liam is a knight or Ella is a knight\". According to Lily, \"Ella is a knight if and only if Liam is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Liam", "Riley", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Ella is a knight, Liam is a knave, Riley is a knight, and Lily is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Liam is a knave\n(3) Riley is a knight\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Ella that Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Ella is a knight and Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Liam is a knight or Ella is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Ella is a knight if and only if Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('telling-truth', 0), ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 1)))", "index": 130}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Noah, Isabella, and Sofia. Benjamin stated, \"If Sofia is a knight then Isabella is a knight\". Noah was heard saying, \"Sofia is not a knave\". \"Benjamin is a knave,\" Isabella mentioned. \"Isabella is a knight,\" Sofia declared. So who is a knight and who is a knave?", "names": ["Benjamin", "Noah", "Isabella", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Benjamin is a knight, Noah is a knave, Isabella is a knave, and Sofia is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Noah is a knave\n(3) Isabella is a knave\n(4) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that If Sofia is a knight then Isabella is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave.", "Isabella cannot be a knave, because this would contradict the claim of Benjamin that If Sofia is a knight then Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Benjamin is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Sofia is not a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Sofia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('lying', 3)), ('lying', 0), ('telling-truth', 2))", "index": 131}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Riley, Matthew, and Mia. \"If Riley is a knight then Michael is a knight,\" Michael declared. In Riley's words: \"Matthew is a knight and Riley is a knight\". \"If Riley is a knight then Riley is a knave,\" Matthew claimed. Mia was heard saying, \"Matthew is a knight or Mia is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Riley", "Matthew", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Michael is a knight, Riley is a knave, Matthew is a knight, and Mia is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Riley is a knave\n(3) Matthew is a knight\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that If Riley is a knight then Michael is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Matthew is a knight and Riley is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that If Riley is a knight then Riley is a knave.", "Matthew cannot be a knave, because this would contradict the claim of Riley that Matthew is a knight and Riley is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Matthew is a knight and Riley is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Riley is a knight then Riley is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Matthew is a knight or Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 2), ('telling-truth', 3)))", "index": 132}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Luke, Aurora, and Scarlett. James commented, \"Luke is a knave and Aurora is a knave\". Luke noted, \"James is not a knave\". Aurora told you that James is a knave if and only if Luke is a knave. Scarlett told you that Luke is a knave or Scarlett is a knight. So who is a knight and who is a knave?", "names": ["James", "Luke", "Aurora", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "James is a knave, Luke is a knave, Aurora is a knight, and Scarlett is a knight.", "solution_text_format": "(1) James is a knave\n(2) Luke is a knave\n(3) Aurora is a knight\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Luke is a knave and Aurora is a knave.", "Luke cannot be a knight, because this would contradict the claim of James that Luke is a knave and Aurora is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that James is not a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Luke is a knave and Aurora is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that James is not a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that James is not a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that James is a knave if and only if Luke is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Luke is a knave or Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('not', ('lying', 0)), ('<=>', ('lying', 0), ('lying', 1)), ('or', ('lying', 1), ('telling-truth', 3)))", "index": 133}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Mia, Elizabeth, and Sebastian. \"Mia is a knight\" - Aiden. \"Aiden is a knight or Sebastian is a knave,\" Mia claimed. Elizabeth was heard saying, \"Aiden is a knight if and only if Mia is a knight\". Sebastian was heard saying, \"Mia is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Mia", "Elizabeth", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Aiden is a knight, Mia is a knight, Elizabeth is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Mia is a knight\n(3) Elizabeth is a knight\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Aiden is a knight or Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Mia is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('telling-truth', 0), ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 1))", "index": 134}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Liam, Emily, and Sofia. Jacob asserted: \"Sofia is a knave or Liam is a knight\". Liam said, \"Emily is a knight or Jacob is a knight.\" Emily noted, \"Sofia is a knight or Sofia is a knave\". \"Emily is a knight or Emily is a knave,\" Sofia declared. So who is a knight and who is a knave?", "names": ["Jacob", "Liam", "Emily", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Jacob is a knight, Liam is a knight, Emily is a knight, and Sofia is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Liam is a knight\n(3) Emily is a knight\n(4) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Sofia is a knave or Liam is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Emily is a knight or Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Sofia is a knight or Sofia is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Emily is a knight or Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('lying', 3)), ('or', ('telling-truth', 2), ('lying', 2)))", "index": 135}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Ella, Isabella, and Owen. Logan stated, \"Owen is a knave and Isabella is a knight\". Ella noted, \"Isabella is a knave\". Isabella was heard saying, \"Logan is a knave or Ella is a knight\". Owen noted, \"Owen is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Ella", "Isabella", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Logan is a knave, Ella is a knave, Isabella is a knight, and Owen is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Ella is a knave\n(3) Isabella is a knight\n(4) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Owen is a knave and Isabella is a knight.", "Owen cannot be a knight, because this would contradict the claim of Logan that Owen is a knave and Isabella is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Owen is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Logan is a knave or Ella is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Isabella is a knave.", "Ella cannot be a knave, because this would contradict the claim of Isabella that Logan is a knave or Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Logan that Owen is a knave and Isabella is a knight.", "We have exhausted all possibilities for Isabella and Owen, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Owen is a knave and Isabella is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Logan is a knave or Ella is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Isabella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 2)), ('lying', 2), ('or', ('lying', 0), ('telling-truth', 1)), ('telling-truth', 3))", "index": 136}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Olivia, Aria, and Charlotte. Lucas asserted: \"Olivia is a knight if and only if Aria is a knave\". In Olivia's words: \"Charlotte is a knight if and only if Aria is a knight\". \"Lucas is a knave and Olivia is a knave,\" Aria claimed. Charlotte remarked, \"Olivia is a knave or Lucas is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Olivia", "Aria", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Lucas is a knight, Olivia is a knight, Aria is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Olivia is a knight\n(3) Aria is a knave\n(4) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Aria is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Aria is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Olivia is a knave or Lucas is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Olivia is a knave or Lucas is a knave.", "Aria cannot be a knight, because this would contradict the claim of Lucas that Olivia is a knight if and only if Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Lucas is a knave and Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('lying', 0), ('lying', 1)), ('or', ('lying', 1), ('lying', 0)))", "index": 137}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Aurora, Penelope, and Lucas. Mason was heard saying, \"Lucas is a knight\". Aurora said that If Penelope is a knight then Penelope is a knave. Penelope noted, \"Mason is a knave or Lucas is a knight\". Lucas stated, \"Penelope is a knight and Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Aurora", "Penelope", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Mason is a knave, Aurora is a knave, Penelope is a knight, and Lucas is a knave.", "solution_text_format": "(1) Mason is a knave\n(2) Aurora is a knave\n(3) Penelope is a knight\n(4) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Penelope is a knight and Aurora is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Mason is a knave or Lucas is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that If Penelope is a knight then Penelope is a knave.", "Aurora cannot be a knave, because this would contradict the claim of Lucas that Penelope is a knight and Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Mason is a knave or Lucas is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the claim of Mason that Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Mason that Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Penelope is a knight and Aurora is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Mason is a knave or Lucas is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that If Penelope is a knight then Penelope is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Penelope is a knight then Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('->', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 1)))", "index": 138}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Matthew, Sophia, and Evelyn. In a statement by James: \"Matthew is a knave or Evelyn is a knave\". Matthew expressed that Sophia is not a knave. Sophia asserted: \"Evelyn is not a knave\". In a statement by Evelyn: \"Sophia is a knight if and only if James is a knight\". So who is a knight and who is a knave?", "names": ["James", "Matthew", "Sophia", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "James is a knight, Matthew is a knave, Sophia is a knave, and Evelyn is a knave.", "solution_text_format": "(1) James is a knight\n(2) Matthew is a knave\n(3) Sophia is a knave\n(4) Evelyn is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Matthew is a knave or Evelyn is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Evelyn cannot be a knight, because this would contradict the claim of James that Matthew is a knave or Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Sophia that Evelyn is not a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the claim of Matthew that Sophia is not a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Sophia is not a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Matthew that Sophia is not a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Evelyn is not a knave.", "Evelyn cannot be a knight, because this would contradict the false claim of Sophia that Evelyn is not a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('not', ('lying', 2)), ('not', ('lying', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "index": 139}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Chloe, William, and Luke. Jack remarked, \"Luke is a knight\". Chloe remarked, \"Jack is a knave or William is a knight\". William commented, \"If Luke is a knight then Jack is a knight\". Luke said, \"Jack is a knight and Jack is a knave.\" So who is a knight and who is a knave?", "names": ["Jack", "Chloe", "William", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Jack is a knave, Chloe is a knight, William is a knight, and Luke is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Chloe is a knight\n(3) William is a knight\n(4) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Luke is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Jack is a knave.", "Luke cannot be a knave, because this would contradict the claim of Jack that Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Jack that Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Jack is a knight and Jack is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Jack is a knave or William is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Luke is a knight then Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('or', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 140}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Sophia, Elizabeth, and Ella. Noah said that Sophia is a knight. Sophia said, \"Noah is a knave or Elizabeth is a knight.\" \"If Ella is a knave then Sophia is a knave\" - Elizabeth. Ella was heard saying, \"Ella is a knight and Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Noah", "Sophia", "Elizabeth", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Noah is a knight, Sophia is a knight, Elizabeth is a knight, and Ella is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Sophia is a knight\n(3) Elizabeth is a knight\n(4) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Noah is a knave or Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Ella is a knave then Sophia is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Ella is a knight and Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 3), ('lying', 1)), ('and', ('telling-truth', 3), ('telling-truth', 2)))", "index": 141}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Samuel, Henry, and Luke. James commented, \"Henry is a knight\". Samuel said that Luke is a knave. Henry told you that Samuel is a knight and Luke is a knight. As Luke put it, \"James is a knight\". So who is a knight and who is a knave?", "names": ["James", "Samuel", "Henry", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "James is a knave, Samuel is a knight, Henry is a knave, and Luke is a knave.", "solution_text_format": "(1) James is a knave\n(2) Samuel is a knight\n(3) Henry is a knave\n(4) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Samuel is a knight and Luke is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Samuel that Luke is a knave.", "Luke cannot be a knave, because this would contradict the claim of Henry that Samuel is a knight and Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the claim of Henry that Samuel is a knight and Luke is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the claim of James that Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of James that Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Samuel is a knight and Luke is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Samuel that Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('lying', 3), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('telling-truth', 0))", "index": 142}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Logan, Scarlett, and Mason. Emily stated, \"Logan is not a knave\". Logan was heard saying, \"Emily is a knight or Mason is a knight\". Scarlett was heard saying, \"Emily is a knight if and only if Mason is a knight\". Mason said, \"Scarlett is a knight or Logan is a knight.\" So who is a knight and who is a knave?", "names": ["Emily", "Logan", "Scarlett", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Emily is a knight, Logan is a knight, Scarlett is a knight, and Mason is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Logan is a knight\n(3) Scarlett is a knight\n(4) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Emily is a knight or Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Scarlett is a knight or Logan is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Emily is a knight if and only if Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('telling-truth', 1)))", "index": 143}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Scarlett, Evelyn, and Lucas. \"Lucas is a knight and Scarlett is a knave,\" Victoria declared. Scarlett commented, \"Scarlett is a knight and Evelyn is a knave\". As Evelyn put it, \"Victoria is a knight\". According to Lucas, \"If Lucas is a knight then Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Scarlett", "Evelyn", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Victoria is a knight, Scarlett is a knave, Evelyn is a knight, and Lucas is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) Scarlett is a knave\n(3) Evelyn is a knight\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Lucas is a knight and Scarlett is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Lucas is a knight then Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Victoria is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Victoria that Lucas is a knight and Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Scarlett is a knight and Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 1)), ('and', ('telling-truth', 1), ('lying', 2)), ('telling-truth', 0), ('->', ('telling-truth', 3), ('telling-truth', 2)))", "index": 144}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Michael, Alexander, and Logan. \"Michael is not a knave,\" Owen declared. Michael was heard saying, \"Owen is a knight and Owen is a knave\". Alexander noted, \"Michael is a knave or Owen is a knight\". As Logan put it, \"Michael is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Michael", "Alexander", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Owen is a knave, Michael is a knave, Alexander is a knight, and Logan is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Michael is a knave\n(3) Alexander is a knight\n(4) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Michael is not a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Owen is a knight and Owen is a knave.", "Michael cannot be a knave, because this would contradict the claim of Owen that Michael is not a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Michael is not a knave.", "Michael cannot be a knight, because this would contradict the false claim of Owen that Michael is not a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Owen is a knight and Owen is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Michael is a knave or Owen is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 0)), ('lying', 1))", "index": 145}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, David, Benjamin, and Lily. According to Daniel, \"If Benjamin is a knave then Lily is a knight\". \"David is a knight or Lily is a knave,\" David claimed. Benjamin remarked, \"Daniel is not a knight\". Lily told you that David is not a knave. So who is a knight and who is a knave?", "names": ["Daniel", "David", "Benjamin", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Daniel is a knight, David is a knight, Benjamin is a knave, and Lily is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) David is a knight\n(3) Benjamin is a knave\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that If Benjamin is a knave then Lily is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Daniel is not a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that David is not a knave.", "Assume David is a knight. No contradiction is found in their claim that David is a knight or Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('lying', 3)), ('not', ('telling-truth', 0)), ('not', ('lying', 1)))", "index": 146}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Benjamin, Sebastian, and Sophia. Victoria remarked, \"Sebastian is a knight if and only if Sebastian is a knave\". Benjamin said that Sophia is a knight and Sophia is a knave. As Sebastian put it, \"If Benjamin is a knave then Victoria is a knight\". Sophia was heard saying, \"Benjamin is a knight or Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Benjamin", "Sebastian", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Victoria is a knave, Benjamin is a knave, Sebastian is a knave, and Sophia is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Benjamin is a knave\n(3) Sebastian is a knave\n(4) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Victoria cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight if and only if Sebastian is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Benjamin is a knave then Victoria is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Sophia is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of Sebastian that If Benjamin is a knave then Victoria is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Benjamin is a knave then Victoria is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Sophia is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Sophia is a knight and Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight or Victoria is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Benjamin is a knight or Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 3), ('lying', 3)), ('->', ('lying', 1), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('telling-truth', 0)))", "index": 147}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Zoey, Liam, and William. David said that William is a knave if and only if Liam is a knave. Zoey stated, \"William is a knave and David is a knight\". Liam told you that William is a knight if and only if William is a knave. William told you that Liam is a knave if and only if Liam is a knight. So who is a knight and who is a knave?", "names": ["David", "Zoey", "Liam", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "David is a knight, Zoey is a knight, Liam is a knave, and William is a knave.", "solution_text_format": "(1) David is a knight\n(2) Zoey is a knight\n(3) Liam is a knave\n(4) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that William is a knave if and only if Liam is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Liam is a knave if and only if Liam is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of David that William is a knave if and only if Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that William is a knight if and only if William is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that William is a knave and David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 2)), ('and', ('lying', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('<=>', ('lying', 2), ('telling-truth', 2)))", "index": 148}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Scarlett, Michael, and Mia. \"If Mia is a knight then Mia is a knave\" - Aiden. Scarlett commented, \"Mia is a knight or Scarlett is a knight\". \"Aiden is a knight or Scarlett is a knight\" - Michael. \"Michael is not a knave\" - Mia. So who is a knight and who is a knave?", "names": ["Aiden", "Scarlett", "Michael", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Aiden is a knave, Scarlett is a knight, Michael is a knight, and Mia is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Scarlett is a knight\n(3) Michael is a knight\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that If Mia is a knight then Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Aiden that If Mia is a knight then Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Michael is not a knave.", "Michael cannot be a knight, because this would contradict the false claim of Mia that Michael is not a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight or Scarlett is a knight.", "We have exhausted all possibilities for Michael and Mia, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Mia is a knight then Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Michael is not a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Aiden is a knight or Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Mia is a knight or Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 3)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 2)))", "index": 149}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Harper, Luke, and Owen. Benjamin commented, \"Benjamin is a knight if and only if Luke is a knave\". Harper said, \"Owen is not a knave.\" \"Benjamin is a knave and Owen is a knight,\" Luke declared. \"Benjamin is not a knight,\" Owen claimed. So who is a knight and who is a knave?", "names": ["Benjamin", "Harper", "Luke", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Benjamin is a knight, Harper is a knave, Luke is a knave, and Owen is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Harper is a knave\n(3) Luke is a knave\n(4) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Benjamin that Benjamin is a knight if and only if Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Benjamin is a knave and Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Owen is not a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Owen is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 2)), ('not', ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 3)), ('not', ('telling-truth', 0)))", "index": 150}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Daniel, Henry, and David. Ava said that Henry is a knave if and only if Henry is a knight. Daniel said that Ava is a knight or Ava is a knave. \"If David is a knave then Daniel is a knight,\" Henry mentioned. David commented, \"Henry is not a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Daniel", "Henry", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Ava is a knave, Daniel is a knight, Henry is a knight, and David is a knave.", "solution_text_format": "(1) Ava is a knave\n(2) Daniel is a knight\n(3) Henry is a knight\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Ava cannot be a knight, because this would contradict the claim of their own that Henry is a knave if and only if Henry is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Henry is a knave if and only if Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If David is a knave then Daniel is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Henry is not a knight.", "Assume David is a knave. No contradiction is found in their false claim that Henry is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Ava is a knight or Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 0)), ('->', ('lying', 3), ('telling-truth', 1)), ('not', ('telling-truth', 2)))", "index": 151}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, Logan, Avery, and Daniel. Sebastian told you that Sebastian is a knight. Logan was heard saying, \"Avery is a knave if and only if Sebastian is a knave\". Avery remarked, \"If Logan is a knave then Sebastian is a knight\". Daniel expressed that Sebastian is a knave and Daniel is a knight. So who is a knight and who is a knave?", "names": ["Sebastian", "Logan", "Avery", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Sebastian is a knight, Logan is a knight, Avery is a knight, and Daniel is a knave.", "solution_text_format": "(1) Sebastian is a knight\n(2) Logan is a knight\n(3) Avery is a knight\n(4) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Avery is a knave if and only if Sebastian is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Logan is a knave then Sebastian is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Sebastian is a knave and Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('<=>', ('lying', 2), ('lying', 0)), ('->', ('lying', 1), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 3)))", "index": 152}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Emma, Grace, and Aria. William stated, \"William is a knight and Aria is a knight\". As Emma put it, \"Grace is a knave\". \"If William is a knave then Aria is a knight,\" Grace mentioned. Aria was heard saying, \"If Grace is a knight then William is a knave\". So who is a knight and who is a knave?", "names": ["William", "Emma", "Grace", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "William is a knave, Emma is a knave, Grace is a knight, and Aria is a knight.", "solution_text_format": "(1) William is a knave\n(2) Emma is a knave\n(3) Grace is a knight\n(4) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that William is a knight and Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Grace is a knight then William is a knave.", "Grace cannot be a knight, because this would contradict the claim of Aria that If Grace is a knight then William is a knave.", "Grace cannot be a knave, because this would contradict the false claim of their own that If William is a knave then Aria is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of William that William is a knight and Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that William is a knight and Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Grace is a knight then William is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If William is a knave then Aria is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Grace is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 3)), ('lying', 2), ('->', ('lying', 0), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 0)))", "index": 153}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Oliver, Joseph, and Ava. Ella said that Ella is a knight and Oliver is a knave. \"If Oliver is a knight then Joseph is a knight,\" Oliver declared. Joseph was heard saying, \"Ella is not a knight\". Ava told you that Ava is a knight or Ella is a knave. So who is a knight and who is a knave?", "names": ["Ella", "Oliver", "Joseph", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Ella is a knave, Oliver is a knight, Joseph is a knight, and Ava is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Oliver is a knight\n(3) Joseph is a knight\n(4) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Ella is a knight and Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Ella that Ella is a knight and Oliver is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that If Oliver is a knight then Joseph is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Ella is a knight and Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Oliver is a knight then Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Ella is not a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight or Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 3), ('lying', 0)))", "index": 154}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, David, Aria, and Mia. Grace was heard saying, \"If Mia is a knave then Aria is a knight\". David told you that If David is a knight then Grace is a knave. Aria asserted: \"Mia is a knight if and only if David is a knight\". As Mia put it, \"David is not a knight\". So who is a knight and who is a knave?", "names": ["Grace", "David", "Aria", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Grace is a knave, David is a knight, Aria is a knave, and Mia is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) David is a knight\n(3) Aria is a knave\n(4) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that If Mia is a knave then Aria is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that David is not a knight.", "David cannot be a knight, because this would contradict the claim of their own that If David is a knight then Grace is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that If David is a knight then Grace is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that David is not a knight.", "David cannot be a knight, because this would contradict the claim of their own that If David is a knight then Grace is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that If David is a knight then Grace is a knave.", "We have exhausted all possibilities for David and Mia, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that If Mia is a knave then Aria is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Grace that If Mia is a knave then Aria is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that David is not a knight.", "Assume David is a knight. No contradiction is found in their claim that If David is a knight then Grace is a knave.", "Aria cannot be a knight, because this would contradict the false claim of Grace that If Mia is a knave then Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Mia is a knight if and only if David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 0)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('telling-truth', 1)))", "index": 155}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Penelope, Victoria, and Samuel. Oliver said that If Penelope is a knight then Samuel is a knave. Penelope was heard saying, \"Samuel is a knave or Penelope is a knight\". Victoria commented, \"Penelope is a knave\". Samuel expressed that Victoria is a knave and Penelope is a knave. So who is a knight and who is a knave?", "names": ["Oliver", "Penelope", "Victoria", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Oliver is a knight, Penelope is a knight, Victoria is a knave, and Samuel is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Penelope is a knight\n(3) Victoria is a knave\n(4) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that If Penelope is a knight then Samuel is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Samuel is a knave or Penelope is a knight.", "Samuel cannot be a knight, because this would contradict the claim of Oliver that If Penelope is a knight then Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Victoria is a knave and Penelope is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Penelope is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 3)), ('or', ('lying', 3), ('telling-truth', 1)), ('lying', 1), ('and', ('lying', 2), ('lying', 1)))", "index": 156}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Avery, Abigail, and Mason. As Victoria put it, \"Abigail is a knight\". Avery asserted: \"Mason is a knave or Abigail is a knight\". In a statement by Abigail: \"Abigail is a knight or Victoria is a knave\". As Mason put it, \"Victoria is a knave and Avery is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Avery", "Abigail", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Victoria is a knight, Avery is a knight, Abigail is a knight, and Mason is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Avery is a knight\n(3) Abigail is a knight\n(4) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight or Victoria is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Mason is a knave or Abigail is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Avery is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Victoria is a knave and Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('or', ('lying', 3), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('lying', 0)), ('and', ('lying', 0), ('telling-truth', 1)))", "index": 157}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Alexander, Sophia, and Zoey. \"Alexander is a knave or Sophia is a knave\" - Ethan. Alexander commented, \"If Zoey is a knight then Alexander is a knight\". Sophia said that Ethan is not a knave. Zoey commented, \"Ethan is a knave or Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Alexander", "Sophia", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Ethan is a knight, Alexander is a knave, Sophia is a knight, and Zoey is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Alexander is a knave\n(3) Sophia is a knight\n(4) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Alexander is a knave or Sophia is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Zoey is a knight then Alexander is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Ethan is a knave or Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Ethan that Alexander is a knave or Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Ethan is not a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Ethan is a knave or Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Ethan that Alexander is a knave or Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Ethan is not a knave.", "We have exhausted all possibilities for Sophia and Zoey, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Zoey is a knight then Alexander is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Ethan is a knave or Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Ethan is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('lying', 0)), ('or', ('lying', 0), ('telling-truth', 2)))", "index": 158}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Owen, Noah, and Riley. Charlotte commented, \"Noah is a knave\". Owen remarked, \"Riley is a knight if and only if Charlotte is a knight\". Noah told you that Owen is a knight. Riley stated, \"Noah is a knave or Riley is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Owen", "Noah", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Charlotte is a knave, Owen is a knight, Noah is a knight, and Riley is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Owen is a knight\n(3) Noah is a knight\n(4) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Charlotte that Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Noah that Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Charlotte is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Owen that Riley is a knight if and only if Charlotte is a knight.", "Riley cannot be a knave, because this would contradict the false claim of their own that Noah is a knave or Riley is a knight.", "We have exhausted all possibilities for Riley, Owen, and Noah, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Riley is a knight if and only if Charlotte is a knight.", "Riley cannot be a knight, because this would contradict the claim of Owen that Riley is a knight if and only if Charlotte is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Noah is a knave or Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('telling-truth', 1), ('or', ('lying', 2), ('telling-truth', 3)))", "index": 159}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Avery, Luke, and Noah. Mia said that Avery is a knight if and only if Avery is a knave. As Avery put it, \"Luke is a knight or Luke is a knave\". Luke was heard saying, \"Mia is a knight if and only if Avery is a knave\". Noah stated, \"If Luke is a knave then Avery is a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Avery", "Luke", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Mia is a knave, Avery is a knight, Luke is a knight, and Noah is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Avery is a knight\n(3) Luke is a knight\n(4) Noah is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Mia cannot be a knight, because this would contradict the claim of their own that Avery is a knight if and only if Avery is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Luke is a knight or Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Mia is a knight if and only if Avery is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Luke is a knave then Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 0), ('lying', 1)), ('->', ('lying', 2), ('lying', 1)))", "index": 160}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Ethan, Grace, and Ava. As Oliver put it, \"Ethan is a knave or Grace is a knight\". Ethan remarked, \"Grace is a knave and Grace is a knight\". \"Grace is a knight and Ethan is a knight\" - Grace. As Ava put it, \"Grace is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Ethan", "Grace", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Oliver is a knight, Ethan is a knave, Grace is a knave, and Ava is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Ethan is a knave\n(3) Grace is a knave\n(4) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Ethan is a knave or Grace is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Grace is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Grace is a knave and Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Grace is a knight and Ethan is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Grace is a knight and Ethan is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 2)), ('and', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('lying', 2))", "index": 161}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Emma, Alexander, and Aurora. Owen said, \"Emma is a knight or Alexander is a knave.\" \"If Alexander is a knight then Owen is a knave,\" Emma declared. Alexander told you that Aurora is not a knave. Aurora said that Emma is a knave and Alexander is a knave. So who is a knight and who is a knave?", "names": ["Owen", "Emma", "Alexander", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Owen is a knight, Emma is a knight, Alexander is a knave, and Aurora is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Emma is a knight\n(3) Alexander is a knave\n(4) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Emma is a knight or Alexander is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Alexander is a knight then Owen is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Emma that If Alexander is a knight then Owen is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Aurora is not a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Alexander that Aurora is not a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Emma is a knave and Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 0)), ('not', ('lying', 3)), ('and', ('lying', 1), ('lying', 2)))", "index": 162}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Matthew, Avery, and Jackson. In a statement by Jacob: \"Matthew is a knave\". \"Matthew is a knight if and only if Jacob is a knight,\" Matthew mentioned. According to Avery, \"Jacob is a knight or Jacob is a knave\". Jackson expressed that Jacob is a knave and Avery is a knave. So who is a knight and who is a knave?", "names": ["Jacob", "Matthew", "Avery", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Jacob is a knight, Matthew is a knave, Avery is a knight, and Jackson is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Matthew is a knave\n(3) Avery is a knight\n(4) Jackson is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Jacob that Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Jacob is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Jacob is a knight or Jacob is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Avery is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jacob is a knave and Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 0)), ('and', ('lying', 0), ('lying', 2)))", "index": 163}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Ava, Charlotte, and Noah. Henry commented, \"Ava is a knave and Henry is a knight\". In a statement by Ava: \"Noah is not a knave\". Charlotte said, \"Ava is not a knave.\" Noah asserted: \"Henry is a knight or Henry is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Ava", "Charlotte", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Henry is a knave, Ava is a knight, Charlotte is a knight, and Noah is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Ava is a knight\n(3) Charlotte is a knight\n(4) Noah is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Ava is a knave and Henry is a knight.", "Ava cannot be a knight, because this would contradict the claim of Henry that Ava is a knave and Henry is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Noah is not a knave.", "Noah cannot be a knight, because this would contradict the false claim of Ava that Noah is not a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that Henry is a knight or Henry is a knave.", "We have exhausted all possibilities for Noah and Ava, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Ava is a knave and Henry is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Noah is not a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Henry is a knight or Henry is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Ava is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('not', ('lying', 3)), ('not', ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 164}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Olivia, Aiden, and Emma. As Logan put it, \"Olivia is a knave and Aiden is a knave\". Olivia asserted: \"If Logan is a knave then Logan is a knight\". Aiden asserted: \"If Logan is a knave then Olivia is a knave\". Emma said that Olivia is a knave. So who is a knight and who is a knave?", "names": ["Logan", "Olivia", "Aiden", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Logan is a knave, Olivia is a knave, Aiden is a knight, and Emma is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Olivia is a knave\n(3) Aiden is a knight\n(4) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Olivia is a knave and Aiden is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Logan that Olivia is a knave and Aiden is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that If Logan is a knave then Logan is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Olivia is a knave and Aiden is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that If Logan is a knave then Logan is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Logan is a knave then Logan is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Logan is a knave then Olivia is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 0)), ('->', ('lying', 0), ('lying', 1)), ('lying', 1))", "index": 165}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Henry, Penelope, and Ava. \"If Penelope is a knight then Penelope is a knave,\" William claimed. As Henry put it, \"William is not a knight\". Penelope stated, \"Ava is a knight\". Ava stated, \"William is a knight if and only if Henry is a knight\". So who is a knight and who is a knave?", "names": ["William", "Henry", "Penelope", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "William is a knight, Henry is a knave, Penelope is a knave, and Ava is a knave.", "solution_text_format": "(1) William is a knight\n(2) Henry is a knave\n(3) Penelope is a knave\n(4) Ava is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that If Penelope is a knight then Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of William that If Penelope is a knight then Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Ava is a knight.", "Ava cannot be a knight, because this would contradict the false claim of Penelope that Ava is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that William is a knight if and only if Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that William is not a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that William is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('not', ('telling-truth', 0)), ('telling-truth', 3), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 166}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Lucas, Riley, and Chloe. Victoria commented, \"Riley is not a knight\". Lucas asserted: \"If Victoria is a knight then Riley is a knight\". \"If Victoria is a knave then Chloe is a knave\" - Riley. Chloe commented, \"Lucas is not a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Lucas", "Riley", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Victoria is a knave, Lucas is a knight, Riley is a knight, and Chloe is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Lucas is a knight\n(3) Riley is a knight\n(4) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of Victoria that Riley is not a knight.", "Riley cannot be a knave, because this would contradict the false claim of their own that If Victoria is a knave then Chloe is a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Victoria is a knave then Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Riley that If Victoria is a knave then Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Lucas is not a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Victoria is a knight then Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 3)), ('not', ('telling-truth', 1)))", "index": 167}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, William, Michael, and Mia. According to Emily, \"If Mia is a knight then William is a knave\". \"Mia is not a knight,\" William declared. Michael said, \"William is a knave.\" \"If William is a knight then Michael is a knave,\" Mia mentioned. So who is a knight and who is a knave?", "names": ["Emily", "William", "Michael", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Emily is a knight, William is a knave, Michael is a knight, and Mia is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) William is a knave\n(3) Michael is a knight\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that If Mia is a knight then William is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If William is a knight then Michael is a knave.", "William cannot be a knight, because this would contradict the claim of Emily that If Mia is a knight then William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Mia is not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 1)), ('not', ('telling-truth', 3)), ('lying', 1), ('->', ('telling-truth', 1), ('lying', 2)))", "index": 168}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Sofia, Mason, and Joseph. \"Sofia is not a knight,\" Alexander declared. As Sofia put it, \"Mason is a knave\". As Mason put it, \"If Sofia is a knave then Alexander is a knight\". Joseph commented, \"Alexander is not a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Sofia", "Mason", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Alexander is a knight, Sofia is a knave, Mason is a knight, and Joseph is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Sofia is a knave\n(3) Mason is a knight\n(4) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Sofia is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of Alexander that Sofia is not a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Sofia is a knave then Alexander is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Alexander is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Alexander is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('lying', 2), ('->', ('lying', 1), ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "index": 169}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Sofia, Victoria, and William. Mia said, \"Sofia is a knight or Sofia is a knave.\" Sofia was heard saying, \"If Mia is a knight then Victoria is a knave\". Victoria said, \"Sofia is a knave or Mia is a knight.\" According to William, \"Victoria is a knave and Sofia is a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Sofia", "Victoria", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Mia is a knight, Sofia is a knave, Victoria is a knight, and William is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Sofia is a knave\n(3) Victoria is a knight\n(4) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Sofia is a knight or Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Mia is a knight then Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Sofia that If Mia is a knight then Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Sofia is a knave or Mia is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that If Mia is a knight then Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Sofia is a knave or Mia is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Sofia is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Victoria is a knave and Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 2)), ('or', ('lying', 1), ('telling-truth', 0)), ('and', ('lying', 2), ('lying', 1)))", "index": 170}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Charlotte, Sofia, and Liam. According to Harper, \"Charlotte is a knight\". Charlotte said that Sofia is a knight. \"Sofia is a knight and Liam is a knight,\" Sofia mentioned. In a statement by Liam: \"Sofia is a knight if and only if Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Charlotte", "Sofia", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Harper is a knave, Charlotte is a knave, Sofia is a knave, and Liam is a knave.", "solution_text_format": "(1) Harper is a knave\n(2) Charlotte is a knave\n(3) Sofia is a knave\n(4) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Sofia is a knight and Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Charlotte is a knave.", "Liam cannot be a knave, because this would contradict the claim of Sofia that Sofia is a knight and Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Charlotte that Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Harper that Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Harper that Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Charlotte that Sofia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight and Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Charlotte is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('telling-truth', 2), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "index": 171}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Olivia, Matthew, and Ella. Ava said, \"Ava is a knight and Matthew is a knave.\" Olivia said, \"Ella is a knight or Ava is a knight.\" In a statement by Matthew: \"Olivia is a knave if and only if Matthew is a knight\". Ella remarked, \"Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Olivia", "Matthew", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Ava is a knave, Olivia is a knave, Matthew is a knave, and Ella is a knave.", "solution_text_format": "(1) Ava is a knave\n(2) Olivia is a knave\n(3) Matthew is a knave\n(4) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight and Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Ava that Ava is a knight and Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Matthew is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Matthew that Olivia is a knave if and only if Matthew is a knight.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Ella is a knight or Ava is a knight.", "We have exhausted all possibilities for Olivia and Matthew, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight and Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Matthew is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Matthew that Olivia is a knave if and only if Matthew is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Ella is a knight or Ava is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Olivia that Ella is a knight or Ava is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight.", "We have exhausted all possibilities for Ella and Olivia, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Matthew is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Matthew that Olivia is a knave if and only if Matthew is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Ella is a knight or Ava is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Olivia that Ella is a knight or Ava is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 2)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('lying', 1), ('telling-truth', 2)), ('telling-truth', 2))", "index": 172}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Avery, Zoey, and Sebastian. Oliver remarked, \"Avery is not a knave\". Avery said, \"Zoey is a knave and Sebastian is a knave.\" Zoey commented, \"Sebastian is not a knave\". Sebastian commented, \"Avery is a knight and Avery is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Avery", "Zoey", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Oliver is a knight, Avery is a knight, Zoey is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Avery is a knight\n(3) Zoey is a knave\n(4) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Zoey is a knave and Sebastian is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Avery that Zoey is a knave and Sebastian is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Avery that Zoey is a knave and Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Avery is a knight and Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('lying', 2), ('lying', 3)), ('not', ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 1)))", "index": 173}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Ava, Henry, and Amelia. Lily said that Ava is a knave and Lily is a knight. Ava was heard saying, \"Henry is a knave if and only if Ava is a knight\". Henry told you that Henry is a knight or Ava is a knave. Amelia asserted: \"Henry is a knave if and only if Lily is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Ava", "Henry", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Lily is a knave, Ava is a knight, Henry is a knave, and Amelia is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Ava is a knight\n(3) Henry is a knave\n(4) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Ava is a knave and Lily is a knight.", "Ava cannot be a knight, because this would contradict the claim of Lily that Ava is a knave and Lily is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Henry is a knave if and only if Ava is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Ava that Henry is a knave if and only if Ava is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that Henry is a knight or Ava is a knave.", "We have exhausted all possibilities for Henry and Ava, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Ava is a knave and Lily is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Henry is a knave if and only if Ava is a knight.", "Henry cannot be a knight, because this would contradict the claim of Ava that Henry is a knave if and only if Ava is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Henry is a knight or Ava is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Henry is a knave if and only if Lily is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Henry is a knave if and only if Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 1)), ('<=>', ('lying', 2), ('telling-truth', 0)))", "index": 174}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Harper, Lily, and Logan. \"Lily is a knave and Harper is a knight,\" Matthew declared. According to Harper, \"Lily is a knave or Lily is a knight\". Lily asserted: \"Matthew is a knight and Logan is a knight\". In Logan's words: \"Harper is a knight and Harper is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Harper", "Lily", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Matthew is a knight, Harper is a knight, Lily is a knave, and Logan is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Harper is a knight\n(3) Lily is a knave\n(4) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Lily is a knave and Harper is a knight.", "Lily cannot be a knight, because this would contradict the claim of Matthew that Lily is a knave and Harper is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Matthew is a knight and Logan is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Lily that Matthew is a knight and Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Harper is a knight and Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Lily is a knave or Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('lying', 1)))", "index": 175}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Lily, Lucas, and Henry. Mason was heard saying, \"Mason is a knight and Lucas is a knave\". \"If Mason is a knave then Lucas is a knave,\" Lily declared. Lucas was heard saying, \"If Henry is a knave then Henry is a knight\". Henry noted, \"Mason is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Lily", "Lucas", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Mason is a knave, Lily is a knight, Lucas is a knave, and Henry is a knave.", "solution_text_format": "(1) Mason is a knave\n(2) Lily is a knight\n(3) Lucas is a knave\n(4) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Mason is a knight and Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Mason that Mason is a knight and Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Henry is a knave then Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Lucas that If Henry is a knave then Henry is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that Mason is a knight.", "We have exhausted all possibilities for Henry and Lucas, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Mason is a knight and Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Henry is a knave then Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Mason is a knight.", "Henry cannot be a knave, because this would contradict the claim of Lucas that If Henry is a knave then Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Henry is a knave then Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Lucas that If Henry is a knave then Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Mason is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Mason is a knave then Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 2)), ('->', ('lying', 0), ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 3)), ('telling-truth', 0))", "index": 176}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Sebastian, Emma, and Owen. In a statement by Michael: \"Emma is a knave if and only if Owen is a knave\". Sebastian said, \"Michael is a knave.\" Emma expressed that Michael is not a knight. \"Michael is a knave if and only if Owen is a knight\" - Owen. So who is a knight and who is a knave?", "names": ["Michael", "Sebastian", "Emma", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Michael is a knave, Sebastian is a knight, Emma is a knight, and Owen is a knave.", "solution_text_format": "(1) Michael is a knave\n(2) Sebastian is a knight\n(3) Emma is a knight\n(4) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Emma is a knave if and only if Owen is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Owen cannot be a knight, because this would contradict the claim of Michael that Emma is a knave if and only if Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that Michael is a knave if and only if Owen is a knight.", "We have exhausted all possibilities for Owen and Emma, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Owen is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Michael is not a knight.", "Owen cannot be a knight, because this would contradict the false claim of Michael that Emma is a knave if and only if Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Owen is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 3)), ('lying', 0), ('not', ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 3)))", "index": 177}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Mia, Victoria, and Jacob. As Charlotte put it, \"Mia is a knight or Jacob is a knave\". Mia asserted: \"Charlotte is not a knight\". \"Jacob is a knight,\" Victoria claimed. According to Jacob, \"Jacob is a knight and Mia is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Mia", "Victoria", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Charlotte is a knight, Mia is a knave, Victoria is a knave, and Jacob is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Mia is a knave\n(3) Victoria is a knave\n(4) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Mia is a knight or Jacob is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Charlotte is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of Charlotte that Mia is a knight or Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight and Mia is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Jacob is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 3)), ('not', ('telling-truth', 0)), ('telling-truth', 3), ('and', ('telling-truth', 3), ('telling-truth', 1)))", "index": 178}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Chloe, Riley, and David. \"Riley is a knight if and only if Chloe is a knave,\" Lucas declared. Chloe commented, \"Riley is a knight and Lucas is a knave\". \"Lucas is a knave,\" Riley mentioned. In David's words: \"Riley is a knight and Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Chloe", "Riley", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Lucas is a knave, Chloe is a knight, Riley is a knight, and David is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Chloe is a knight\n(3) Riley is a knight\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Riley is a knight if and only if Chloe is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Lucas is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Lucas is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Lucas is a knave.", "Chloe cannot be a knave, because this would contradict the claim of Lucas that Riley is a knight if and only if Chloe is a knave.", "We have exhausted all possibilities for Chloe and Riley, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Chloe is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Lucas is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Riley is a knight and Lucas is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Chloe is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Riley is a knight and Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('and', ('telling-truth', 2), ('lying', 0)), ('lying', 0), ('and', ('telling-truth', 2), ('lying', 1)))", "index": 179}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Victoria, Amelia, and Daniel. \"Mia is a knight if and only if Victoria is a knave,\" Mia claimed. \"If Daniel is a knave then Amelia is a knave,\" Victoria mentioned. Amelia asserted: \"If Mia is a knight then Victoria is a knight\". \"Daniel is a knight and Victoria is a knave,\" Daniel claimed. So who is a knight and who is a knave?", "names": ["Mia", "Victoria", "Amelia", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Mia is a knave, Victoria is a knave, Amelia is a knight, and Daniel is a knave.", "solution_text_format": "(1) Mia is a knave\n(2) Victoria is a knave\n(3) Amelia is a knight\n(4) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight if and only if Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Mia that Mia is a knight if and only if Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Daniel is a knave then Amelia is a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Victoria that If Daniel is a knave then Amelia is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight and Victoria is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that If Mia is a knight then Victoria is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of Victoria that If Daniel is a knave then Amelia is a knave.", "We have exhausted all possibilities for Amelia, Daniel, and Victoria, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Mia that Mia is a knight if and only if Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Daniel is a knave then Amelia is a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Victoria that If Daniel is a knave then Amelia is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight and Victoria is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Mia is a knight then Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('->', ('lying', 3), ('lying', 2)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('lying', 1)))", "index": 180}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Lucas, Alexander, and Daniel. As Benjamin put it, \"If Lucas is a knight then Daniel is a knight\". In Lucas's words: \"Daniel is not a knave\". \"Benjamin is a knight and Lucas is a knave\" - Alexander. In a statement by Daniel: \"Benjamin is not a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Lucas", "Alexander", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Benjamin is a knight, Lucas is a knight, Alexander is a knave, and Daniel is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Lucas is a knight\n(3) Alexander is a knave\n(4) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that If Lucas is a knight then Daniel is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Daniel is not a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Lucas is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Benjamin is a knight and Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('lying', 3)), ('and', ('telling-truth', 0), ('lying', 1)), ('not', ('lying', 0)))", "index": 181}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Liam, Logan, and Amelia. Ava said that Liam is a knave if and only if Logan is a knight. \"Amelia is not a knight,\" Liam claimed. \"If Liam is a knight then Amelia is a knave,\" Logan claimed. \"Liam is a knave if and only if Ava is a knight,\" Amelia mentioned. So who is a knight and who is a knave?", "names": ["Ava", "Liam", "Logan", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Ava is a knight, Liam is a knave, Logan is a knight, and Amelia is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Liam is a knave\n(3) Logan is a knight\n(4) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Liam is a knave if and only if Logan is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Amelia is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of Liam that Amelia is not a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Ava is a knight.", "Logan cannot be a knight, because this would contradict the claim of Ava that Liam is a knave if and only if Logan is a knight.", "Logan cannot be a knave, because this would contradict the false claim of their own that If Liam is a knight then Amelia is a knave.", "We have exhausted all possibilities for Logan and Amelia, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Amelia is not a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Liam is a knave if and only if Ava is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Liam is a knight then Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('->', ('telling-truth', 1), ('lying', 3)), ('<=>', ('lying', 1), ('telling-truth', 0)))", "index": 182}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Mia, Harper, and Emily. In Sophia's words: \"Harper is a knight and Mia is a knight\". \"If Harper is a knight then Harper is a knave,\" Mia mentioned. Harper noted, \"Emily is a knight if and only if Mia is a knave\". \"If Harper is a knight then Mia is a knight,\" Emily declared. So who is a knight and who is a knave?", "names": ["Sophia", "Mia", "Harper", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Sophia is a knave, Mia is a knight, Harper is a knave, and Emily is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Mia is a knight\n(3) Harper is a knave\n(4) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Harper is a knight and Mia is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Emily is a knight if and only if Mia is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Harper is a knight then Mia is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that If Harper is a knight then Harper is a knave.", "Mia cannot be a knave, because this would contradict the claim of Sophia that Harper is a knight and Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that If Harper is a knight then Mia is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that If Harper is a knight then Harper is a knave.", "Mia cannot be a knave, because this would contradict the claim of Sophia that Harper is a knight and Mia is a knight.", "We have exhausted all possibilities for Mia and Emily, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the claim of Sophia that Harper is a knight and Mia is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Harper is a knight and Mia is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Emily is a knight if and only if Mia is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Harper is a knight then Mia is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Sophia that Harper is a knight and Mia is a knight.", "Mia cannot be a knave, because this would contradict the claim of Emily that If Harper is a knight then Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that If Harper is a knight then Mia is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Sophia that Harper is a knight and Mia is a knight.", "Mia cannot be a knave, because this would contradict the claim of Harper that Emily is a knight if and only if Mia is a knave.", "We have exhausted all possibilities for Mia and Emily, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Mia is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Harper is a knight then Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Harper is a knight then Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 1)))", "index": 183}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Jackson, Elizabeth, and Daniel. \"Elizabeth is a knave,\" Michael claimed. Jackson said that Daniel is a knave if and only if Michael is a knight. \"Michael is a knight if and only if Daniel is a knight,\" Elizabeth declared. \"Jackson is a knave or Michael is a knave,\" Daniel claimed. So who is a knight and who is a knave?", "names": ["Michael", "Jackson", "Elizabeth", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Michael is a knight, Jackson is a knight, Elizabeth is a knave, and Daniel is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Jackson is a knight\n(3) Elizabeth is a knave\n(4) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Michael that Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Elizabeth that Michael is a knight if and only if Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Jackson is a knave or Michael is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('lying', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('lying', 1), ('lying', 0)))", "index": 184}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Abigail, Oliver, and Scarlett. Riley expressed that Scarlett is a knave and Riley is a knight. As Abigail put it, \"Riley is not a knight\". As Oliver put it, \"Abigail is a knave and Riley is a knave\". \"If Oliver is a knight then Abigail is a knight,\" Scarlett claimed. So who is a knight and who is a knave?", "names": ["Riley", "Abigail", "Oliver", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Riley is a knave, Abigail is a knight, Oliver is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Abigail is a knight\n(3) Oliver is a knave\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Scarlett is a knave and Riley is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Riley that Scarlett is a knave and Riley is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Oliver is a knight then Abigail is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Abigail is a knave and Riley is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of Scarlett that If Oliver is a knight then Abigail is a knight.", "We have exhausted all possibilities for Oliver and Scarlett, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Scarlett is a knave and Riley is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Oliver is a knight then Abigail is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Abigail is a knave and Riley is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Oliver that Abigail is a knave and Riley is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Riley is not a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Abigail is a knave and Riley is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Riley is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('and', ('lying', 1), ('lying', 0)), ('->', ('telling-truth', 2), ('telling-truth', 1)))", "index": 185}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Amelia, Ava, and Lucas. In a statement by Penelope: \"Ava is not a knight\". Amelia remarked, \"Penelope is a knave or Lucas is a knight\". Ava noted, \"If Amelia is a knave then Penelope is a knave\". Lucas said, \"Penelope is not a knave.\" So who is a knight and who is a knave?", "names": ["Penelope", "Amelia", "Ava", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Penelope is a knave, Amelia is a knight, Ava is a knight, and Lucas is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Amelia is a knight\n(3) Ava is a knight\n(4) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Ava is not a knight.", "Ava cannot be a knight, because this would contradict the claim of Penelope that Ava is not a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that If Amelia is a knave then Penelope is a knave.", "Amelia cannot be a knight, because this would contradict the false claim of Ava that If Amelia is a knave then Penelope is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Penelope is a knave or Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Amelia that Penelope is a knave or Lucas is a knight.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Penelope is not a knave.", "We have exhausted all possibilities for Lucas, Amelia, and Ava, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Ava is not a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Amelia is a knave then Penelope is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Penelope is a knave or Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Penelope is not a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Penelope is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 3)), ('->', ('lying', 1), ('lying', 0)), ('not', ('lying', 0)))", "index": 186}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Penelope, Mason, and David. Samuel was heard saying, \"Penelope is a knight if and only if Mason is a knave\". Penelope said that David is a knave and Penelope is a knight. Mason asserted: \"Penelope is a knave\". \"Mason is a knave if and only if Penelope is a knight\" - David. So who is a knight and who is a knave?", "names": ["Samuel", "Penelope", "Mason", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Samuel is a knight, Penelope is a knave, Mason is a knight, and David is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Penelope is a knave\n(3) Mason is a knight\n(4) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Mason is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that David is a knave and Penelope is a knight.", "David cannot be a knight, because this would contradict the claim of Penelope that David is a knave and Penelope is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Penelope is a knight.", "Mason cannot be a knight, because this would contradict the claim of Samuel that Penelope is a knight if and only if Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of David that Mason is a knave if and only if Penelope is a knight.", "We have exhausted all possibilities for Mason and David, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that David is a knave and Penelope is a knight.", "Assume David is a knight. No contradiction is found in their claim that Mason is a knave if and only if Penelope is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('and', ('lying', 3), ('telling-truth', 1)), ('lying', 1), ('<=>', ('lying', 2), ('telling-truth', 1)))", "index": 187}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Alexander, Amelia, and Lily. Samuel stated, \"Samuel is a knight and Alexander is a knight\". \"Samuel is a knave\" - Alexander. Amelia asserted: \"Samuel is not a knave\". Lily said, \"If Samuel is a knight then Amelia is a knight.\" So who is a knight and who is a knave?", "names": ["Samuel", "Alexander", "Amelia", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Samuel is a knave, Alexander is a knight, Amelia is a knave, and Lily is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Alexander is a knight\n(3) Amelia is a knave\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Samuel is a knight and Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Samuel is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Samuel that Samuel is a knight and Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Samuel is a knight and Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Samuel is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Samuel is not a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Samuel is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Samuel is a knight then Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 0), ('not', ('lying', 0)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "index": 188}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Amelia, Elizabeth, and Abigail. Sofia commented, \"Amelia is a knight\". Amelia asserted: \"Sofia is a knave and Amelia is a knight\". Elizabeth said, \"Elizabeth is a knight or Sofia is a knave.\" As Abigail put it, \"If Amelia is a knave then Elizabeth is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Amelia", "Elizabeth", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Sofia is a knave, Amelia is a knave, Elizabeth is a knight, and Abigail is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Amelia is a knave\n(3) Elizabeth is a knight\n(4) Abigail is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Sofia is a knave and Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the claim of Sofia that Amelia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Sofia that Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Sofia is a knave and Amelia is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight or Sofia is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that If Amelia is a knave then Elizabeth is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Amelia is a knave then Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('lying', 0), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 0)), ('->', ('lying', 1), ('lying', 2)))", "index": 189}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, Amelia, Riley, and Isabella. Sebastian told you that Isabella is a knight if and only if Riley is a knight. In Amelia's words: \"Sebastian is not a knight\". Riley noted, \"If Isabella is a knight then Amelia is a knight\". \"Isabella is a knight and Sebastian is a knave,\" Isabella declared. So who is a knight and who is a knave?", "names": ["Sebastian", "Amelia", "Riley", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Sebastian is a knave, Amelia is a knight, Riley is a knight, and Isabella is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Amelia is a knight\n(3) Riley is a knight\n(4) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Riley is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and Sebastian is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight and Sebastian is a knave.", "Riley cannot be a knight, because this would contradict the claim of Sebastian that Isabella is a knight if and only if Riley is a knight.", "Riley cannot be a knave, because this would contradict the false claim of their own that If Isabella is a knight then Amelia is a knight.", "We have exhausted all possibilities for Riley and Isabella, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Riley is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight and Sebastian is a knave.", "Riley cannot be a knight, because this would contradict the false claim of Sebastian that Isabella is a knight if and only if Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that If Isabella is a knight then Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Riley that If Isabella is a knight then Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Sebastian is not a knight.", "We have exhausted all possibilities for Amelia and Riley, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight and Sebastian is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Isabella is a knight then Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Sebastian is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('lying', 0)))", "index": 190}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Lily, Harper, and Mason. \"Samuel is a knight or Lily is a knave,\" Samuel declared. Lily remarked, \"If Harper is a knave then Mason is a knight\". Harper remarked, \"If Mason is a knave then Samuel is a knave\". Mason asserted: \"If Harper is a knight then Samuel is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Lily", "Harper", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Samuel is a knave, Lily is a knight, Harper is a knight, and Mason is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Lily is a knight\n(3) Harper is a knight\n(4) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Samuel is a knight or Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Harper is a knave then Mason is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Mason is a knave then Samuel is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that If Harper is a knight then Samuel is a knave.", "Mason cannot be a knave, because this would contradict the claim of Harper that If Mason is a knave then Samuel is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that If Mason is a knave then Samuel is a knave.", "Mason cannot be a knight, because this would contradict the false claim of Harper that If Mason is a knave then Samuel is a knave.", "Mason cannot be a knave, because this would contradict the claim of Lily that If Harper is a knave then Mason is a knight.", "We have exhausted all possibilities for Mason and Harper, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that If Harper is a knave then Mason is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Lily that If Harper is a knave then Mason is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that If Mason is a knave then Samuel is a knave.", "Mason cannot be a knight, because this would contradict the false claim of Lily that If Harper is a knave then Mason is a knight.", "Mason cannot be a knave, because this would contradict the false claim of their own that If Harper is a knight then Samuel is a knave.", "We have exhausted all possibilities for Mason, Harper, and Lily, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Samuel is a knight or Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Harper is a knave then Mason is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Mason is a knave then Samuel is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Harper is a knight then Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('->', ('lying', 2), ('telling-truth', 3)), ('->', ('lying', 3), ('lying', 0)), ('->', ('telling-truth', 2), ('lying', 0)))", "index": 191}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Ethan, Jack, and Emily. As Lily put it, \"Jack is not a knave\". \"If Lily is a knave then Lily is a knight,\" Ethan mentioned. According to Jack, \"Ethan is a knave or Lily is a knight\". \"Lily is a knave\" - Emily. So who is a knight and who is a knave?", "names": ["Lily", "Ethan", "Jack", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Lily is a knight, Ethan is a knight, Jack is a knight, and Emily is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Ethan is a knight\n(3) Jack is a knight\n(4) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Jack is not a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Ethan is a knave or Lily is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Lily is a knave then Lily is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Lily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 0)), ('or', ('lying', 1), ('telling-truth', 0)), ('lying', 0))", "index": 192}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, James, Logan, and Mia. In Owen's words: \"Logan is a knave if and only if James is a knight\". James remarked, \"If Mia is a knight then James is a knight\". Logan stated, \"If James is a knave then Mia is a knight\". Mia remarked, \"Owen is a knight if and only if Logan is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "James", "Logan", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Owen is a knave, James is a knight, Logan is a knight, and Mia is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) James is a knight\n(3) Logan is a knight\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Logan is a knave if and only if James is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If James is a knave then Mia is a knight.", "James cannot be a knight, because this would contradict the claim of Owen that Logan is a knave if and only if James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that If Mia is a knight then James is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Owen is a knight if and only if Logan is a knave.", "Mia cannot be a knave, because this would contradict the false claim of James that If Mia is a knight then James is a knight.", "We have exhausted all possibilities for Mia and James, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that If James is a knave then Mia is a knight.", "James cannot be a knight, because this would contradict the false claim of Logan that If James is a knave then Mia is a knight.", "James cannot be a knave, because this would contradict the claim of Owen that Logan is a knave if and only if James is a knight.", "We have exhausted all possibilities for James and Logan, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Logan is a knave if and only if James is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If James is a knave then Mia is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Mia is a knight then James is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Owen is a knight if and only if Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('lying', 2)))", "index": 193}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Oliver, Michael, and Avery. \"If Oliver is a knave then Avery is a knight,\" Aria declared. Oliver was heard saying, \"If Aria is a knight then Avery is a knave\". In Michael's words: \"Oliver is a knave or Aria is a knave\". In Avery's words: \"If Michael is a knight then Avery is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Oliver", "Michael", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Aria is a knight, Oliver is a knave, Michael is a knight, and Avery is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Oliver is a knave\n(3) Michael is a knight\n(4) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that If Oliver is a knave then Avery is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that If Aria is a knight then Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Oliver that If Aria is a knight then Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that If Michael is a knight then Avery is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Oliver is a knave or Aria is a knave.", "Michael cannot be a knave, because this would contradict the false claim of Avery that If Michael is a knight then Avery is a knight.", "We have exhausted all possibilities for Michael and Avery, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Aria is a knight then Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Michael is a knight then Avery is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Oliver is a knave or Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('lying', 3)), ('or', ('lying', 1), ('lying', 0)), ('->', ('telling-truth', 2), ('telling-truth', 3)))", "index": 194}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Charlotte, Sofia, and Sebastian. According to Aiden, \"Charlotte is a knave\". In a statement by Charlotte: \"Sofia is a knave if and only if Sofia is a knight\". As Sofia put it, \"Aiden is a knight and Sebastian is a knight\". \"Charlotte is a knight and Aiden is a knight,\" Sebastian claimed. So who is a knight and who is a knave?", "names": ["Aiden", "Charlotte", "Sofia", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Aiden is a knight, Charlotte is a knave, Sofia is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Charlotte is a knave\n(3) Sofia is a knave\n(4) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Aiden that Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Aiden is a knight and Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight and Aiden is a knight.", "Sebastian cannot be a knave, because this would contradict the claim of Sofia that Aiden is a knight and Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Aiden is a knight and Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Sofia that Aiden is a knight and Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Charlotte is a knight and Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 195}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, James, Emma, and Isabella. \"If Henry is a knight then James is a knave,\" Henry declared. James stated, \"Isabella is a knave if and only if Emma is a knight\". As Emma put it, \"James is a knight if and only if Henry is a knave\". Isabella stated, \"Henry is a knight and James is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "James", "Emma", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Henry is a knight, James is a knave, Emma is a knight, and Isabella is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) James is a knave\n(3) Emma is a knight\n(4) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that If Henry is a knight then James is a knave.", "James cannot be a knight, because this would contradict the claim of Henry that If Henry is a knight then James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Emma is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Henry is a knight and James is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that James is a knight if and only if Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('<=>', ('lying', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 0), ('lying', 1)))", "index": 196}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Luke, Samuel, and Victoria. Noah told you that If Victoria is a knight then Luke is a knight. Luke noted, \"Samuel is a knight or Noah is a knight\". \"Victoria is a knight or Victoria is a knave,\" Samuel mentioned. Victoria said that If Samuel is a knave then Luke is a knave. So who is a knight and who is a knave?", "names": ["Noah", "Luke", "Samuel", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Noah is a knight, Luke is a knight, Samuel is a knight, and Victoria is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Luke is a knight\n(3) Samuel is a knight\n(4) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that If Victoria is a knight then Luke is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Samuel is a knave then Luke is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Victoria is a knight or Victoria is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Samuel is a knight or Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('lying', 3)), ('->', ('lying', 2), ('lying', 1)))", "index": 197}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Emma, Luke, and Oliver. \"Liam is a knight or Emma is a knight\" - Liam. In Emma's words: \"Liam is a knave or Liam is a knight\". In Luke's words: \"Liam is a knight if and only if Liam is a knave\". Oliver said that Liam is a knight and Emma is a knave. So who is a knight and who is a knave?", "names": ["Liam", "Emma", "Luke", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Liam is a knight, Emma is a knight, Luke is a knave, and Oliver is a knave.", "solution_text_format": "(1) Liam is a knight\n(2) Emma is a knight\n(3) Luke is a knave\n(4) Oliver is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Liam is a knight or Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Liam is a knave or Liam is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if Liam is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Liam is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Liam is a knight and Emma is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Liam is a knight and Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('and', ('telling-truth', 0), ('lying', 1)))", "index": 198}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Daniel, David, and Penelope. \"David is a knight and Daniel is a knave,\" Noah declared. Daniel expressed that Daniel is a knight and David is a knight. David was heard saying, \"Daniel is not a knight\". Penelope said that If Daniel is a knave then Noah is a knight. So who is a knight and who is a knave?", "names": ["Noah", "Daniel", "David", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Noah is a knight, Daniel is a knave, David is a knight, and Penelope is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Daniel is a knave\n(3) David is a knight\n(4) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that David is a knight and Daniel is a knave.", "Assume David is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Noah that David is a knight and Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight and David is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Daniel is a knave then Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 1)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 0)))", "index": 199}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Daniel, Penelope, and Sebastian. Olivia stated, \"If Sebastian is a knight then Penelope is a knave\". As Daniel put it, \"Sebastian is not a knave\". In a statement by Penelope: \"If Sebastian is a knave then Daniel is a knave\". Sebastian said, \"If Olivia is a knight then Daniel is a knave.\" So who is a knight and who is a knave?", "names": ["Olivia", "Daniel", "Penelope", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Olivia is a knave, Daniel is a knight, Penelope is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Olivia is a knave\n(2) Daniel is a knight\n(3) Penelope is a knight\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that If Sebastian is a knight then Penelope is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Olivia is a knight then Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Sebastian that If Olivia is a knight then Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Sebastian is not a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Olivia is a knight then Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knave.", "Daniel cannot be a knave, because this would contradict the false claim of Sebastian that If Olivia is a knight then Daniel is a knave.", "We have exhausted all possibilities for Daniel and Sebastian, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Sebastian is a knight then Penelope is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Olivia is a knight then Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Sebastian is a knave then Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 2)), ('not', ('lying', 3)), ('->', ('lying', 3), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 1)))", "index": 200}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Zoey, Daniel, and Ava. Ella said, \"If Zoey is a knave then Ava is a knave.\" Zoey asserted: \"Ava is a knave and Daniel is a knave\". Daniel asserted: \"If Ava is a knight then Zoey is a knave\". Ava noted, \"Daniel is a knave or Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Zoey", "Daniel", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Ella is a knave, Zoey is a knave, Daniel is a knight, and Ava is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Zoey is a knave\n(3) Daniel is a knight\n(4) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that If Zoey is a knave then Ava is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Ava is a knave and Daniel is a knave.", "Ava cannot be a knight, because this would contradict the claim of Zoey that Ava is a knave and Daniel is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Daniel is a knave or Zoey is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Zoey that Ava is a knave and Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that If Ava is a knight then Zoey is a knave.", "We have exhausted all possibilities for Daniel and Ava, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Ava is a knave and Daniel is a knave.", "Ava cannot be a knight, because this would contradict the claim of Ella that If Zoey is a knave then Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Daniel is a knave or Zoey is a knave.", "We have exhausted all possibilities for Ava and Zoey, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that If Zoey is a knave then Ava is a knave.", "Zoey cannot be a knight, because this would contradict the false claim of Ella that If Zoey is a knave then Ava is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Ava is a knave and Daniel is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Daniel is a knave or Zoey is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Ava is a knight then Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 3)), ('and', ('lying', 3), ('lying', 2)), ('->', ('telling-truth', 3), ('lying', 1)), ('or', ('lying', 2), ('lying', 1)))", "index": 201}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Liam, Noah, and Michael. As Evelyn put it, \"Noah is a knave or Liam is a knight\". Liam asserted: \"Noah is not a knave\". Noah stated, \"If Michael is a knave then Noah is a knight\". Michael commented, \"Noah is a knave or Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Liam", "Noah", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Evelyn is a knight, Liam is a knight, Noah is a knight, and Michael is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Liam is a knight\n(3) Noah is a knight\n(4) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Noah is a knave or Liam is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that If Michael is a knave then Noah is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Noah is a knave or Evelyn is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Noah is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 1)), ('not', ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 2)), ('or', ('lying', 2), ('telling-truth', 0)))", "index": 202}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Emma, Oliver, and Isabella. In a statement by Luke: \"Emma is not a knave\". Emma said that If Luke is a knave then Oliver is a knave. \"If Isabella is a knight then Isabella is a knave,\" Oliver mentioned. \"Emma is a knight or Oliver is a knight,\" Isabella declared. So who is a knight and who is a knave?", "names": ["Luke", "Emma", "Oliver", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Luke is a knight, Emma is a knight, Oliver is a knave, and Isabella is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Emma is a knight\n(3) Oliver is a knave\n(4) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Emma is not a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Luke is a knave then Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Isabella is a knight then Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Oliver that If Isabella is a knight then Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Emma is a knight or Oliver is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Isabella is a knight then Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Emma is a knight or Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('->', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 3), ('lying', 3)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "index": 203}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Luke, Ava, and William. Alexander expressed that Luke is not a knave. Luke told you that Ava is a knave and William is a knave. Ava expressed that William is a knave. William expressed that If Alexander is a knight then Luke is a knave. So who is a knight and who is a knave?", "names": ["Alexander", "Luke", "Ava", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Alexander is a knave, Luke is a knave, Ava is a knave, and William is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Luke is a knave\n(3) Ava is a knave\n(4) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Luke is not a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Ava is a knave and William is a knave.", "Ava cannot be a knight, because this would contradict the claim of Luke that Ava is a knave and William is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that William is a knave.", "William cannot be a knight, because this would contradict the claim of Luke that Ava is a knave and William is a knave.", "William cannot be a knave, because this would contradict the false claim of Ava that William is a knave.", "We have exhausted all possibilities for William and Ava, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Alexander that Luke is not a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Luke is not a knave.", "Luke cannot be a knight, because this would contradict the false claim of Alexander that Luke is not a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Ava is a knave and William is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that William is a knave.", "William cannot be a knight, because this would contradict the claim of Ava that William is a knave.", "William cannot be a knave, because this would contradict the false claim of their own that If Alexander is a knight then Luke is a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that William is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Alexander is a knight then Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('lying', 2), ('lying', 3)), ('lying', 3), ('->', ('telling-truth', 0), ('lying', 1)))", "index": 204}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Sofia, Aurora, and Jackson. In David's words: \"Aurora is a knight or David is a knight\". Sofia remarked, \"If Sofia is a knight then Jackson is a knight\". Aurora remarked, \"David is not a knight\". Jackson was heard saying, \"Sofia is not a knave\". So who is a knight and who is a knave?", "names": ["David", "Sofia", "Aurora", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "David is a knight, Sofia is a knight, Aurora is a knave, and Jackson is a knight.", "solution_text_format": "(1) David is a knight\n(2) Sofia is a knight\n(3) Aurora is a knave\n(4) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Aurora is a knight or David is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that David is not a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that David is not a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Sofia is a knight then Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Sofia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('telling-truth', 0)), ('not', ('lying', 1)))", "index": 205}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Sebastian, Ethan, and Riley. As Lucas put it, \"Sebastian is a knave if and only if Ethan is a knight\". Sebastian expressed that Lucas is a knight. Ethan was heard saying, \"Lucas is a knight if and only if Riley is a knight\". Riley told you that Sebastian is a knight or Ethan is a knave. So who is a knight and who is a knave?", "names": ["Lucas", "Sebastian", "Ethan", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Lucas is a knave, Sebastian is a knave, Ethan is a knave, and Riley is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Sebastian is a knave\n(3) Ethan is a knave\n(4) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if Ethan is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Lucas is a knight.", "Ethan cannot be a knight, because this would contradict the claim of Lucas that Sebastian is a knave if and only if Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Ethan that Lucas is a knight if and only if Riley is a knight.", "Riley cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knight or Ethan is a knave.", "We have exhausted all possibilities for Riley and Ethan, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Lucas is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sebastian is a knave if and only if Ethan is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Lucas is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Lucas is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Lucas that Sebastian is a knave if and only if Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Sebastian is a knight or Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('telling-truth', 0), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('lying', 2)))", "index": 206}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Sebastian, Lucas, and Ava. Ella was heard saying, \"Ava is a knight\". Sebastian was heard saying, \"If Ava is a knight then Ava is a knave\". Lucas was heard saying, \"If Ella is a knight then Ava is a knave\". Ava noted, \"Lucas is a knave or Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Sebastian", "Lucas", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Ella is a knight, Sebastian is a knave, Lucas is a knave, and Ava is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Sebastian is a knave\n(3) Lucas is a knave\n(4) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Lucas is a knave or Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that If Ella is a knight then Ava is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Ella is a knight then Ava is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that If Ava is a knight then Ava is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Ava is a knight then Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('->', ('telling-truth', 3), ('lying', 3)), ('->', ('telling-truth', 0), ('lying', 3)), ('or', ('lying', 2), ('telling-truth', 2)))", "index": 207}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Ella, Lucas, and Jacob. William said, \"If Jacob is a knave then Ella is a knave.\" Ella told you that William is a knave or Lucas is a knave. Lucas expressed that If Jacob is a knight then William is a knave. Jacob noted, \"Ella is a knight and William is a knave\". So who is a knight and who is a knave?", "names": ["William", "Ella", "Lucas", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "William is a knight, Ella is a knave, Lucas is a knight, and Jacob is a knave.", "solution_text_format": "(1) William is a knight\n(2) Ella is a knave\n(3) Lucas is a knight\n(4) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that If Jacob is a knave then Ella is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Ella is a knight and William is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Ella is a knight and William is a knave.", "Ella cannot be a knight, because this would contradict the claim of William that If Jacob is a knave then Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that William is a knave or Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Jacob is a knight then William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 1)), ('or', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 3), ('lying', 0)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 208}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Amelia, William, and Daniel. \"If Daniel is a knave then William is a knave,\" Riley declared. \"Daniel is a knave if and only if William is a knight\" - Amelia. As William put it, \"Daniel is not a knave\". \"Riley is not a knight,\" Daniel mentioned. So who is a knight and who is a knave?", "names": ["Riley", "Amelia", "William", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Riley is a knight, Amelia is a knave, William is a knave, and Daniel is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Amelia is a knave\n(3) William is a knave\n(4) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that If Daniel is a knave then William is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Riley is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Riley is not a knight.", "William cannot be a knight, because this would contradict the claim of Riley that If Daniel is a knave then William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Daniel is not a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Daniel is a knave if and only if William is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 2)), ('<=>', ('lying', 3), ('telling-truth', 2)), ('not', ('lying', 3)), ('not', ('telling-truth', 0)))", "index": 209}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Isabella, Noah, and Jackson. Owen asserted: \"Isabella is a knight\". Isabella noted, \"If Noah is a knight then Jackson is a knave\". Noah said that Jackson is a knave and Noah is a knight. In a statement by Jackson: \"Owen is a knight or Noah is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Isabella", "Noah", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Owen is a knight, Isabella is a knight, Noah is a knave, and Jackson is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Isabella is a knight\n(3) Noah is a knave\n(4) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Noah is a knight then Jackson is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Jackson is a knave and Noah is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Isabella that If Noah is a knight then Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Owen is a knight or Noah is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Jackson is a knave and Noah is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Owen is a knight or Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('telling-truth', 2), ('lying', 3)), ('and', ('lying', 3), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 2)))", "index": 210}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Penelope, Isabella, and Alexander. Riley said that Alexander is a knight and Penelope is a knight. Penelope said that Isabella is a knave if and only if Isabella is a knight. Isabella said, \"Riley is a knight or Alexander is a knight.\" \"Riley is a knight and Riley is a knave,\" Alexander mentioned. So who is a knight and who is a knave?", "names": ["Riley", "Penelope", "Isabella", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Riley is a knave, Penelope is a knave, Isabella is a knave, and Alexander is a knave.", "solution_text_format": "(1) Riley is a knave\n(2) Penelope is a knave\n(3) Isabella is a knave\n(4) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Alexander is a knight and Penelope is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Riley is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Riley that Alexander is a knight and Penelope is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Alexander is a knight and Penelope is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Riley is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Riley is a knight and Riley is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Isabella is a knave if and only if Isabella is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Riley is a knight or Alexander is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Riley is a knight or Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 211}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Aurora, Jack, and Oliver. As Chloe put it, \"Oliver is a knight if and only if Jack is a knave\". Aurora was heard saying, \"If Oliver is a knight then Chloe is a knight\". Jack said that Chloe is a knight. Oliver said that Chloe is a knave if and only if Aurora is a knight. So who is a knight and who is a knave?", "names": ["Chloe", "Aurora", "Jack", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Chloe is a knight, Aurora is a knight, Jack is a knight, and Oliver is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Aurora is a knight\n(3) Jack is a knight\n(4) Oliver is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Jack is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Oliver that Chloe is a knave if and only if Aurora is a knight.", "Aurora cannot be a knave, because this would contradict the false claim of their own that If Oliver is a knight then Chloe is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Oliver is a knight then Chloe is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('telling-truth', 0), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 212}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Aria, Scarlett, and Benjamin. Olivia was heard saying, \"Scarlett is a knave\". Aria commented, \"If Scarlett is a knight then Benjamin is a knight\". Scarlett said, \"Olivia is a knight and Benjamin is a knight.\" \"Scarlett is not a knave,\" Benjamin claimed. So who is a knight and who is a knave?", "names": ["Olivia", "Aria", "Scarlett", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Olivia is a knight, Aria is a knight, Scarlett is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Aria is a knight\n(3) Scarlett is a knave\n(4) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Olivia that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Olivia is a knight and Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Scarlett that Olivia is a knight and Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Scarlett is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Scarlett is a knight then Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('lying', 2)))", "index": 213}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Olivia, Henry, and Aurora. Amelia commented, \"Aurora is a knight or Henry is a knight\". Olivia said, \"Henry is a knave.\" \"Olivia is a knave or Olivia is a knight,\" Henry claimed. \"Amelia is a knave\" - Aurora. So who is a knight and who is a knave?", "names": ["Amelia", "Olivia", "Henry", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Amelia is a knight, Olivia is a knave, Henry is a knight, and Aurora is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) Olivia is a knave\n(3) Henry is a knight\n(4) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Aurora is a knight or Henry is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Amelia is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Amelia is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Olivia is a knave or Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 2)), ('lying', 2), ('or', ('lying', 1), ('telling-truth', 1)), ('lying', 0))", "index": 214}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Ethan, Lily, and Amelia. \"Lily is a knight,\" William claimed. Ethan stated, \"Lily is a knave or Amelia is a knave\". As Lily put it, \"Ethan is a knave if and only if Amelia is a knave\". \"Ethan is a knight if and only if Ethan is a knave,\" Amelia mentioned. So who is a knight and who is a knave?", "names": ["William", "Ethan", "Lily", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "William is a knave, Ethan is a knight, Lily is a knave, and Amelia is a knave.", "solution_text_format": "(1) William is a knave\n(2) Ethan is a knight\n(3) Lily is a knave\n(4) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Amelia is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Lily is a knave or Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Ethan that Lily is a knave or Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the claim of Lily that Ethan is a knave if and only if Amelia is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Lily is a knave or Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Lily that Ethan is a knave if and only if Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of Ethan that Lily is a knave or Amelia is a knave.", "We have exhausted all possibilities for Amelia and Ethan, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of William that Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Lily is a knight.", "Lily cannot be a knight, because this would contradict the false claim of William that Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Amelia is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Lily is a knave or Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the false claim of Lily that Ethan is a knave if and only if Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('or', ('lying', 2), ('lying', 3)), ('<=>', ('lying', 1), ('lying', 3)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "index": 215}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Mason, Liam, and Penelope. \"Liam is not a knave,\" Evelyn declared. According to Mason, \"Liam is a knight or Liam is a knave\". As Liam put it, \"Mason is a knave and Evelyn is a knight\". In Penelope's words: \"Penelope is a knight and Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Mason", "Liam", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Evelyn is a knave, Mason is a knight, Liam is a knave, and Penelope is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Mason is a knight\n(3) Liam is a knave\n(4) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Mason is a knave and Evelyn is a knight.", "Mason cannot be a knight, because this would contradict the claim of Liam that Mason is a knave and Evelyn is a knight.", "Mason cannot be a knave, because this would contradict the false claim of their own that Liam is a knight or Liam is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Evelyn that Liam is not a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Liam is not a knave.", "Liam cannot be a knight, because this would contradict the false claim of Evelyn that Liam is not a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Mason is a knave and Evelyn is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Liam is a knight or Liam is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Penelope is a knight and Evelyn is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight and Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('telling-truth', 2), ('lying', 2)), ('and', ('lying', 1), ('telling-truth', 0)), ('and', ('telling-truth', 3), ('telling-truth', 0)))", "index": 216}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Alexander, Penelope, and Chloe. Noah expressed that Penelope is a knight and Chloe is a knave. Alexander expressed that If Penelope is a knight then Chloe is a knight. According to Penelope, \"Penelope is a knight and Chloe is a knave\". \"If Noah is a knave then Alexander is a knight,\" Chloe declared. So who is a knight and who is a knave?", "names": ["Noah", "Alexander", "Penelope", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Noah is a knave, Alexander is a knight, Penelope is a knave, and Chloe is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Alexander is a knight\n(3) Penelope is a knave\n(4) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Penelope is a knight and Chloe is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Penelope is a knight and Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Noah that Penelope is a knight and Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that If Noah is a knave then Alexander is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the claim of Noah that Penelope is a knight and Chloe is a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Penelope is a knight and Chloe is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Penelope is a knight and Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Penelope that Penelope is a knight and Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of Noah that Penelope is a knight and Chloe is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight and Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Noah is a knave then Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Penelope is a knight then Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 3)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 1)))", "index": 217}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Aria, William, and Riley. \"Aria is a knight and Riley is a knave,\" Charlotte mentioned. Aria expressed that Riley is a knight or Riley is a knave. William asserted: \"Charlotte is a knave if and only if Riley is a knight\". In a statement by Riley: \"If Aria is a knight then William is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Aria", "William", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Charlotte is a knave, Aria is a knight, William is a knight, and Riley is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Aria is a knight\n(3) William is a knight\n(4) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Aria is a knight and Riley is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Riley is a knight or Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Charlotte that Aria is a knight and Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that If Aria is a knight then William is a knight.", "William cannot be a knight, because this would contradict the false claim of Riley that If Aria is a knight then William is a knight.", "William cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knave if and only if Riley is a knight.", "We have exhausted all possibilities for William and Riley, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Charlotte that Aria is a knight and Riley is a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aria is a knight and Riley is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Riley is a knight or Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Aria is a knight then William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 3)), ('or', ('telling-truth', 3), ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('telling-truth', 2)))", "index": 218}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jackson, Sebastian, Daniel, and Lily. Jackson was heard saying, \"If Lily is a knave then Jackson is a knight\". Sebastian was heard saying, \"Jackson is a knight if and only if Daniel is a knave\". \"Daniel is a knight if and only if Sebastian is a knave,\" Daniel mentioned. As Lily put it, \"Jackson is not a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Sebastian", "Daniel", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Jackson is a knight, Sebastian is a knave, Daniel is a knight, and Lily is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Sebastian is a knave\n(3) Daniel is a knight\n(4) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that If Lily is a knave then Jackson is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Jackson is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Sebastian that Jackson is a knight if and only if Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Daniel is a knight if and only if Sebastian is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('not', ('telling-truth', 0)))", "index": 219}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Ethan, Aiden, and Evelyn. Penelope asserted: \"Aiden is a knave or Ethan is a knave\". In a statement by Ethan: \"If Aiden is a knight then Evelyn is a knight\". Aiden said that If Aiden is a knight then Evelyn is a knave. Evelyn remarked, \"Ethan is a knave if and only if Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Ethan", "Aiden", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Penelope is a knight, Ethan is a knave, Aiden is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Ethan is a knave\n(3) Aiden is a knight\n(4) Evelyn is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Aiden is a knave or Ethan is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Aiden that If Aiden is a knight then Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the claim of Penelope that Aiden is a knave or Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Aiden is a knight then Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 3)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "index": 220}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Michael, Elizabeth, and Jackson. Olivia was heard saying, \"If Michael is a knave then Jackson is a knight\". Michael said that Olivia is a knight if and only if Jackson is a knave. \"Michael is a knight,\" Elizabeth mentioned. \"Olivia is not a knight\" - Jackson. So who is a knight and who is a knave?", "names": ["Olivia", "Michael", "Elizabeth", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Olivia is a knight, Michael is a knight, Elizabeth is a knight, and Jackson is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Michael is a knight\n(3) Elizabeth is a knight\n(4) Jackson is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that If Michael is a knave then Jackson is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Michael that Olivia is a knight if and only if Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Olivia is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('telling-truth', 1), ('not', ('telling-truth', 0)))", "index": 221}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Zoey, David, and Charlotte. \"Zoey is a knave if and only if Charlotte is a knave\" - Chloe. \"Chloe is not a knight,\" Zoey declared. According to David, \"Charlotte is not a knave\". As Charlotte put it, \"Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Zoey", "David", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Chloe is a knave, Zoey is a knight, David is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Zoey is a knight\n(3) David is a knave\n(4) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Charlotte is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Chloe is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Chloe is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Chloe that Zoey is a knave if and only if Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Zoey is a knave.", "We have exhausted all possibilities for Charlotte and Zoey, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Charlotte is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Chloe is not a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Chloe that Zoey is a knave if and only if Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Zoey is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knave.", "Assume David is a knave. No contradiction is found in their false claim that Charlotte is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 3)), ('not', ('telling-truth', 0)), ('not', ('lying', 3)), ('lying', 1))", "index": 222}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Liam, Charlotte, and Harper. Logan noted, \"Logan is a knight or Harper is a knight\". According to Liam, \"Charlotte is a knave\". In a statement by Charlotte: \"Logan is a knight\". As Harper put it, \"Liam is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Liam", "Charlotte", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Logan is a knight, Liam is a knave, Charlotte is a knight, and Harper is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Liam is a knave\n(3) Charlotte is a knight\n(4) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight or Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Liam that Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Logan is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Harper that Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Harper that Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 3)), ('lying', 2), ('telling-truth', 0), ('telling-truth', 1))", "index": 223}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Luke, Noah, and Aurora. Penelope noted, \"Luke is a knave or Aurora is a knight\". \"Noah is a knight or Noah is a knave\" - Luke. As Noah put it, \"Luke is a knave or Aurora is a knave\". \"Aurora is a knight if and only if Noah is a knave,\" Aurora mentioned. So who is a knight and who is a knave?", "names": ["Penelope", "Luke", "Noah", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Penelope is a knight, Luke is a knight, Noah is a knave, and Aurora is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Luke is a knight\n(3) Noah is a knave\n(4) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Luke is a knave or Aurora is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Noah is a knight or Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Luke is a knave or Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Noah that Luke is a knave or Aurora is a knave.", "Aurora cannot be a knave, because this would contradict the claim of Penelope that Luke is a knave or Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Luke is a knave or Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 1), ('lying', 3)), ('<=>', ('telling-truth', 3), ('lying', 2)))", "index": 224}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Benjamin, Aiden, and Emma. In Elizabeth's words: \"Emma is a knave and Aiden is a knight\". As Benjamin put it, \"Elizabeth is a knight if and only if Emma is a knight\". Aiden remarked, \"Emma is not a knave\". In a statement by Emma: \"Elizabeth is not a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Benjamin", "Aiden", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Elizabeth is a knave, Benjamin is a knight, Aiden is a knave, and Emma is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Benjamin is a knight\n(3) Aiden is a knave\n(4) Emma is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Emma is a knave and Aiden is a knight.", "Emma cannot be a knight, because this would contradict the claim of Elizabeth that Emma is a knave and Aiden is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Elizabeth is not a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Emma is a knave and Aiden is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Elizabeth is not a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Elizabeth that Emma is a knave and Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Emma is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('lying', 3)), ('not', ('lying', 0)))", "index": 225}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Victoria, Daniel, and Benjamin. Chloe remarked, \"Victoria is a knight\". Victoria noted, \"Daniel is a knave and Victoria is a knight\". Daniel remarked, \"Chloe is a knight if and only if Victoria is a knave\". Benjamin noted, \"If Benjamin is a knight then Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Victoria", "Daniel", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Chloe is a knight, Victoria is a knight, Daniel is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Victoria is a knight\n(3) Daniel is a knave\n(4) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Daniel is a knave and Victoria is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Victoria that Daniel is a knave and Victoria is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Victoria is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Benjamin is a knight then Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('lying', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 226}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Sophia, Aurora, and Ethan. In William's words: \"Aurora is a knight if and only if Ethan is a knave\". \"If William is a knight then William is a knave,\" Sophia declared. Aurora noted, \"William is not a knave\". Ethan remarked, \"Aurora is not a knight\". So who is a knight and who is a knave?", "names": ["William", "Sophia", "Aurora", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "William is a knight, Sophia is a knave, Aurora is a knight, and Ethan is a knave.", "solution_text_format": "(1) William is a knight\n(2) Sophia is a knave\n(3) Aurora is a knight\n(4) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Ethan is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that William is not a knave.", "Ethan cannot be a knight, because this would contradict the claim of William that Aurora is a knight if and only if Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that If William is a knight then William is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that If William is a knight then William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 3)), ('->', ('telling-truth', 0), ('lying', 0)), ('not', ('lying', 0)), ('not', ('telling-truth', 2)))", "index": 227}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aurora, Logan, Charlotte, and Evelyn. Aurora asserted: \"Logan is a knave and Charlotte is a knight\". Logan was heard saying, \"Aurora is a knave and Evelyn is a knave\". Charlotte remarked, \"If Charlotte is a knight then Evelyn is a knight\". Evelyn commented, \"Aurora is not a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Logan", "Charlotte", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Aurora is a knight, Logan is a knave, Charlotte is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Logan is a knave\n(3) Charlotte is a knight\n(4) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Logan is a knave and Charlotte is a knight.", "Logan cannot be a knight, because this would contradict the claim of Aurora that Logan is a knave and Charlotte is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Aurora is a knave and Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Charlotte is a knight then Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('and', ('lying', 0), ('lying', 3)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('lying', 0)))", "index": 228}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Zoey, William, and Joseph. Matthew told you that Joseph is not a knight. Zoey said that Matthew is a knave if and only if Matthew is a knight. \"Matthew is a knave if and only if Joseph is a knave,\" William mentioned. In Joseph's words: \"Zoey is not a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Zoey", "William", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Matthew is a knight, Zoey is a knave, William is a knave, and Joseph is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Zoey is a knave\n(3) William is a knave\n(4) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Matthew that Joseph is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Matthew is a knave if and only if Matthew is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Matthew is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Matthew is a knave if and only if Joseph is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 3)), ('not', ('lying', 1)))", "index": 229}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Lucas, Mason, and Sofia. Amelia said that Sofia is a knave or Mason is a knight. As Lucas put it, \"If Amelia is a knave then Lucas is a knight\". \"If Sofia is a knave then Sofia is a knight\" - Mason. Sofia asserted: \"Lucas is not a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Lucas", "Mason", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Amelia is a knight, Lucas is a knight, Mason is a knight, and Sofia is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Lucas is a knight\n(3) Mason is a knight\n(4) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Sofia is a knave or Mason is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Lucas is not a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Amelia is a knave then Lucas is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Sofia is a knave then Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 3)), ('not', ('lying', 1)))", "index": 230}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, James, Lucas, and Sofia. Samuel noted, \"Lucas is a knave and Sofia is a knight\". \"James is a knight and Sofia is a knave\" - James. Lucas noted, \"If Samuel is a knave then James is a knave\". As Sofia put it, \"If Lucas is a knave then James is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "James", "Lucas", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Samuel is a knave, James is a knave, Lucas is a knight, and Sofia is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) James is a knave\n(3) Lucas is a knight\n(4) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Lucas is a knave and Sofia is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Samuel that Lucas is a knave and Sofia is a knight.", "Lucas cannot be a knave, because this would contradict the false claim of their own that If Samuel is a knave then James is a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Lucas is a knave and Sofia is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Samuel is a knave then James is a knave.", "James cannot be a knight, because this would contradict the claim of Lucas that If Samuel is a knave then James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that James is a knight and Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Lucas is a knave then James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 0), ('lying', 1)), ('->', ('lying', 2), ('telling-truth', 1)))", "index": 231}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Isabella, Daniel, and David. As Amelia put it, \"Isabella is a knight if and only if Amelia is a knight\". Isabella remarked, \"Amelia is a knight if and only if David is a knave\". \"David is a knave if and only if Daniel is a knight,\" Daniel claimed. David was heard saying, \"Daniel is a knave if and only if Isabella is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Isabella", "Daniel", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Amelia is a knight, Isabella is a knight, Daniel is a knave, and David is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) Isabella is a knight\n(3) Daniel is a knave\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Amelia is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Amelia is a knight if and only if David is a knave.", "David cannot be a knight, because this would contradict the claim of Isabella that Amelia is a knight if and only if David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Isabella is a knave.", "Daniel cannot be a knight, because this would contradict the false claim of David that Daniel is a knave if and only if Isabella is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that David is a knave if and only if Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('<=>', ('lying', 3), ('telling-truth', 2)), ('<=>', ('lying', 2), ('lying', 1)))", "index": 232}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Lucas, Aurora, and Avery. \"Jack is a knight and Aurora is a knight,\" Jack claimed. In Lucas's words: \"Jack is not a knave\". \"If Jack is a knight then Jack is a knave,\" Aurora claimed. As Avery put it, \"Jack is a knave if and only if Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Lucas", "Aurora", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Jack is a knave, Lucas is a knave, Aurora is a knight, and Avery is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Lucas is a knave\n(3) Aurora is a knight\n(4) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Jack is a knight and Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that If Jack is a knight then Jack is a knave.", "Aurora cannot be a knave, because this would contradict the claim of Jack that Jack is a knight and Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight and Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Jack is a knight then Jack is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Jack is not a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Jack is not a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Jack is a knave if and only if Aurora is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('lying', 0)), ('->', ('telling-truth', 0), ('lying', 0)), ('<=>', ('lying', 0), ('lying', 2)))", "index": 233}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Elizabeth, Ella, and Michael. Jack noted, \"Michael is a knight if and only if Elizabeth is a knave\". In Elizabeth's words: \"Ella is a knight or Ella is a knave\". Ella noted, \"Jack is a knave or Elizabeth is a knave\". In Michael's words: \"If Ella is a knight then Michael is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Elizabeth", "Ella", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Jack is a knave, Elizabeth is a knight, Ella is a knight, and Michael is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Elizabeth is a knight\n(3) Ella is a knight\n(4) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Michael is a knight if and only if Elizabeth is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Ella is a knight then Michael is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Jack is a knave or Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Jack that Michael is a knight if and only if Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Ella is a knight or Ella is a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Jack is a knave or Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Jack that Michael is a knight if and only if Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Ella is a knight or Ella is a knave.", "We have exhausted all possibilities for Elizabeth and Ella, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that If Ella is a knight then Michael is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Jack is a knave or Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Ella that Jack is a knave or Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the claim of Jack that Michael is a knight if and only if Elizabeth is a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the false claim of Michael that If Ella is a knight then Michael is a knight.", "We have exhausted all possibilities for Ella and Michael, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Elizabeth is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Ella is a knight then Michael is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Jack is a knave or Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Ella is a knight or Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 1)), ('or', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 0), ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 3)))", "index": 234}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Sophia, Oliver, and Mason. \"Sophia is a knave,\" Ava claimed. Sophia commented, \"Mason is not a knave\". Oliver noted, \"Ava is a knight or Mason is a knave\". \"If Mason is a knight then Sophia is a knight\" - Mason. So who is a knight and who is a knave?", "names": ["Ava", "Sophia", "Oliver", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Ava is a knave, Sophia is a knight, Oliver is a knave, and Mason is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Sophia is a knight\n(3) Oliver is a knave\n(4) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Ava that Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the false claim of Sophia that Mason is not a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that If Mason is a knight then Sophia is a knight.", "We have exhausted all possibilities for Mason and Sophia, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Mason is not a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Mason is a knight then Sophia is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Ava is a knight or Mason is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Ava is a knight or Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('not', ('lying', 3)), ('or', ('telling-truth', 0), ('lying', 3)), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 235}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Jack, Lily, and Benjamin. Olivia said that Lily is a knight. \"Olivia is a knave,\" Jack mentioned. Lily stated, \"Jack is a knave and Benjamin is a knave\". Benjamin remarked, \"Lily is not a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Jack", "Lily", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Olivia is a knave, Jack is a knight, Lily is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) Jack is a knight\n(3) Lily is a knave\n(4) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Jack is a knave and Benjamin is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Olivia is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Olivia is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Lily that Jack is a knave and Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Lily is not a knave.", "We have exhausted all possibilities for Benjamin and Jack, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Olivia that Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Lily is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Olivia that Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Jack is a knave and Benjamin is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Olivia is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Lily is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lily is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('lying', 0), ('and', ('lying', 1), ('lying', 3)), ('not', ('lying', 2)))", "index": 236}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Zoey, Jack, and Sophia. Chloe said, \"Jack is a knave.\" Zoey noted, \"Jack is a knight\". Jack expressed that Zoey is a knave and Chloe is a knave. Sophia said that Chloe is a knight. So who is a knight and who is a knave?", "names": ["Chloe", "Zoey", "Jack", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Chloe is a knight, Zoey is a knave, Jack is a knave, and Sophia is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Zoey is a knave\n(3) Jack is a knave\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Chloe that Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Zoey is a knave and Chloe is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Jack is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Jack is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('telling-truth', 2), ('and', ('lying', 1), ('lying', 0)), ('telling-truth', 0))", "index": 237}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Alexander, Emma, and Lily. Ella commented, \"Emma is a knave and Ella is a knight\". Alexander was heard saying, \"Emma is a knight and Lily is a knight\". Emma stated, \"Ella is not a knave\". \"Emma is a knight and Alexander is a knight\" - Lily. So who is a knight and who is a knave?", "names": ["Ella", "Alexander", "Emma", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Ella is a knave, Alexander is a knave, Emma is a knave, and Lily is a knave.", "solution_text_format": "(1) Ella is a knave\n(2) Alexander is a knave\n(3) Emma is a knave\n(4) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Emma is a knave and Ella is a knight.", "Emma cannot be a knight, because this would contradict the claim of Ella that Emma is a knave and Ella is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Ella is not a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Emma is a knave and Ella is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Ella is not a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Ella is not a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Lily is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Emma is a knight and Lily is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Alexander is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Emma is a knight and Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('lying', 0)), ('and', ('telling-truth', 2), ('telling-truth', 1)))", "index": 238}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Ethan, Abigail, and Lily. Elizabeth was heard saying, \"If Ethan is a knight then Abigail is a knight\". Ethan noted, \"Lily is a knave or Elizabeth is a knave\". Abigail noted, \"Elizabeth is a knight if and only if Ethan is a knight\". \"Ethan is a knave if and only if Lily is a knight\" - Lily. So who is a knight and who is a knave?", "names": ["Elizabeth", "Ethan", "Abigail", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Elizabeth is a knight, Ethan is a knave, Abigail is a knave, and Lily is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Ethan is a knave\n(3) Abigail is a knave\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that If Ethan is a knight then Abigail is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Lily is a knave or Elizabeth is a knave.", "Lily cannot be a knight, because this would contradict the claim of Ethan that Lily is a knave or Elizabeth is a knave.", "Lily cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave if and only if Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Lily is a knave or Elizabeth is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Lily is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight if and only if Ethan is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 3), ('lying', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 3)))", "index": 239}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Amelia, Aurora, and Ava. Aria commented, \"Amelia is a knave if and only if Aurora is a knave\". \"Aurora is a knave or Aurora is a knight,\" Amelia claimed. According to Aurora, \"Ava is a knave\". \"Ava is a knight or Aurora is a knight\" - Ava. So who is a knight and who is a knave?", "names": ["Aria", "Amelia", "Aurora", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Aria is a knave, Amelia is a knight, Aurora is a knave, and Ava is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Amelia is a knight\n(3) Aurora is a knave\n(4) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Aurora is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Aurora is a knave or Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Aurora that Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Ava is a knight or Aurora is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Aria that Amelia is a knave if and only if Aurora is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Aurora is a knave or Aurora is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Aurora is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Aurora is a knave or Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Aria that Amelia is a knave if and only if Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight or Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('or', ('lying', 2), ('telling-truth', 2)), ('lying', 3), ('or', ('telling-truth', 3), ('telling-truth', 2)))", "index": 240}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Harper, William, and Benjamin. In Elizabeth's words: \"William is a knight and Harper is a knight\". Harper stated, \"Benjamin is not a knight\". William said that Benjamin is a knight. \"Harper is a knight and Benjamin is a knight\" - Benjamin. So who is a knight and who is a knave?", "names": ["Elizabeth", "Harper", "William", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Elizabeth is a knave, Harper is a knight, William is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Harper is a knight\n(3) William is a knave\n(4) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that William is a knight and Harper is a knight.", "Assume William is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Harper is a knight and Benjamin is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knight.", "Harper cannot be a knave, because this would contradict the claim of Elizabeth that William is a knight and Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of William that Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the claim of Elizabeth that William is a knight and Harper is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that William is a knight and Harper is a knight.", "Assume William is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Harper is a knight and Benjamin is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Elizabeth that William is a knight and Harper is a knight.", "Harper cannot be a knave, because this would contradict the claim of Benjamin that Harper is a knight and Benjamin is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the claim of William that Benjamin is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of William that Benjamin is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Harper is a knight and Benjamin is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Benjamin is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 3)), ('telling-truth', 3), ('and', ('telling-truth', 1), ('telling-truth', 3)))", "index": 241}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Joseph, Chloe, and Logan. Oliver expressed that Logan is not a knight. Joseph noted, \"Logan is a knight or Oliver is a knight\". Chloe noted, \"If Oliver is a knave then Logan is a knave\". \"Oliver is a knight and Chloe is a knave,\" Logan declared. So who is a knight and who is a knave?", "names": ["Oliver", "Joseph", "Chloe", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Oliver is a knight, Joseph is a knight, Chloe is a knight, and Logan is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Joseph is a knight\n(3) Chloe is a knight\n(4) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of Oliver that Logan is not a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Oliver is a knight and Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Oliver is a knave then Logan is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Logan is a knight or Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('lying', 0), ('lying', 3)), ('and', ('telling-truth', 0), ('lying', 2)))", "index": 242}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jackson, Elizabeth, Evelyn, and Mason. According to Jackson, \"Evelyn is a knave\". In Elizabeth's words: \"Mason is a knight if and only if Evelyn is a knight\". \"If Jackson is a knave then Mason is a knight,\" Evelyn mentioned. Mason told you that If Jackson is a knave then Elizabeth is a knight. So who is a knight and who is a knave?", "names": ["Jackson", "Elizabeth", "Evelyn", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Jackson is a knave, Elizabeth is a knight, Evelyn is a knight, and Mason is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Elizabeth is a knight\n(3) Evelyn is a knight\n(4) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Jackson that Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knave then Mason is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Jackson is a knave then Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Jackson is a knave then Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Mason is a knight if and only if Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 1)))", "index": 243}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Logan, Sofia, and Grace. Henry remarked, \"Logan is a knight if and only if Sofia is a knight\". Logan told you that Grace is a knight if and only if Sofia is a knight. Sofia said that Henry is a knight if and only if Grace is a knave. Grace commented, \"Henry is a knave or Grace is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Logan", "Sofia", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Henry is a knight, Logan is a knave, Sofia is a knave, and Grace is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Logan is a knave\n(3) Sofia is a knave\n(4) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Logan is a knight if and only if Sofia is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Grace is a knight if and only if Sofia is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Henry is a knave or Grace is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Henry is a knight if and only if Grace is a knave.", "Sofia cannot be a knave, because this would contradict the claim of Henry that Logan is a knight if and only if Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Henry is a knave or Grace is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Logan that Grace is a knight if and only if Sofia is a knight.", "Sofia cannot be a knave, because this would contradict the claim of Henry that Logan is a knight if and only if Sofia is a knight.", "We have exhausted all possibilities for Sofia and Grace, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Sofia is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Henry is a knave or Grace is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Henry that Logan is a knight if and only if Sofia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 3)))", "index": 244}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Mia, Avery, and Joseph. Chloe was heard saying, \"Mia is not a knave\". \"Mia is a knight or Chloe is a knave\" - Mia. Avery told you that Avery is a knight or Mia is a knight. \"Mia is a knight if and only if Avery is a knave,\" Joseph claimed. So who is a knight and who is a knave?", "names": ["Chloe", "Mia", "Avery", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Chloe is a knight, Mia is a knight, Avery is a knight, and Joseph is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Mia is a knight\n(3) Avery is a knight\n(4) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Mia is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight or Chloe is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Avery is a knight or Mia is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Mia is a knight if and only if Avery is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 0)), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 2)))", "index": 245}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Amelia, Henry, and Lily. Luke noted, \"Henry is a knave if and only if Lily is a knave\". \"Lily is a knight or Henry is a knight,\" Amelia declared. \"Amelia is a knave or Luke is a knight,\" Henry declared. \"Luke is a knight if and only if Amelia is a knight,\" Lily claimed. So who is a knight and who is a knave?", "names": ["Luke", "Amelia", "Henry", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Luke is a knight, Amelia is a knight, Henry is a knight, and Lily is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Amelia is a knight\n(3) Henry is a knight\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Henry is a knave if and only if Lily is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Amelia is a knave or Luke is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Lily is a knight or Henry is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Luke is a knight if and only if Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 3)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 246}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Matthew, Ella, and Riley. Aiden told you that Ella is a knave. Matthew said, \"Riley is not a knave.\" \"Aiden is a knave if and only if Riley is a knight\" - Ella. Riley told you that Aiden is a knight and Riley is a knight. So who is a knight and who is a knave?", "names": ["Aiden", "Matthew", "Ella", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Aiden is a knight, Matthew is a knight, Ella is a knave, and Riley is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Matthew is a knight\n(3) Ella is a knave\n(4) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Aiden that Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Aiden is a knave if and only if Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Aiden is a knight and Riley is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Riley is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('not', ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('telling-truth', 3)))", "index": 247}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Harper, Penelope, and Aurora. In Luke's words: \"Penelope is a knight if and only if Penelope is a knave\". Harper said, \"Aurora is a knave and Harper is a knight.\" Penelope expressed that Luke is a knave. Aurora stated, \"Harper is a knight if and only if Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Harper", "Penelope", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Luke is a knave, Harper is a knight, Penelope is a knight, and Aurora is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Harper is a knight\n(3) Penelope is a knight\n(4) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Luke cannot be a knight, because this would contradict the claim of their own that Penelope is a knight if and only if Penelope is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Luke is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Aurora is a knave and Harper is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Harper that Aurora is a knave and Harper is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('and', ('lying', 3), ('telling-truth', 1)), ('lying', 0), ('<=>', ('telling-truth', 1), ('telling-truth', 3)))", "index": 248}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Sebastian, Benjamin, and Isabella. Michael said, \"Isabella is a knave and Sebastian is a knave.\" Sebastian remarked, \"Sebastian is a knight\". Benjamin asserted: \"If Isabella is a knight then Isabella is a knave\". Isabella said, \"Sebastian is a knave and Michael is a knight.\" So who is a knight and who is a knave?", "names": ["Michael", "Sebastian", "Benjamin", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Michael is a knave, Sebastian is a knight, Benjamin is a knight, and Isabella is a knave.", "solution_text_format": "(1) Michael is a knave\n(2) Sebastian is a knight\n(3) Benjamin is a knight\n(4) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Isabella is a knave and Sebastian is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Michael that Isabella is a knave and Sebastian is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Sebastian is a knave and Michael is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Michael that Isabella is a knave and Sebastian is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of Isabella that Sebastian is a knave and Michael is a knight.", "We have exhausted all possibilities for Sebastian and Isabella, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Isabella is a knave and Sebastian is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Michael is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Sebastian is a knave and Michael is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Isabella is a knight then Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 1)), ('telling-truth', 1), ('->', ('telling-truth', 3), ('lying', 3)), ('and', ('lying', 1), ('telling-truth', 0)))", "index": 249}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Jacob, Aria, and Ethan. \"Ethan is a knight or Ethan is a knave,\" Noah declared. Jacob commented, \"If Aria is a knight then Ethan is a knave\". Aria commented, \"If Ethan is a knave then Noah is a knave\". \"Noah is not a knight,\" Ethan claimed. So who is a knight and who is a knave?", "names": ["Noah", "Jacob", "Aria", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Noah is a knight, Jacob is a knight, Aria is a knave, and Ethan is a knave.", "solution_text_format": "(1) Noah is a knight\n(2) Jacob is a knight\n(3) Aria is a knave\n(4) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Ethan is a knight or Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Noah is not a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Noah is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Aria is a knight then Ethan is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that If Ethan is a knave then Noah is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that If Ethan is a knave then Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 3)), ('->', ('telling-truth', 2), ('lying', 3)), ('->', ('lying', 3), ('lying', 0)), ('not', ('telling-truth', 0)))", "index": 250}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Scarlett, Ethan, and Grace. Logan told you that If Grace is a knave then Scarlett is a knave. Scarlett said, \"If Logan is a knave then Grace is a knave.\" Ethan remarked, \"Logan is a knave\". Grace said that Scarlett is a knight. So who is a knight and who is a knave?", "names": ["Logan", "Scarlett", "Ethan", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Logan is a knight, Scarlett is a knight, Ethan is a knave, and Grace is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Scarlett is a knight\n(3) Ethan is a knave\n(4) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that If Grace is a knave then Scarlett is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Logan is a knave then Grace is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Logan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 1)), ('->', ('lying', 0), ('lying', 3)), ('lying', 0), ('telling-truth', 1))", "index": 251}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Amelia, Ethan, and Isabella. Emma stated, \"Isabella is not a knight\". Amelia was heard saying, \"Isabella is a knave\". \"Isabella is not a knave,\" Ethan claimed. \"Emma is a knight if and only if Ethan is a knight,\" Isabella declared. So who is a knight and who is a knave?", "names": ["Emma", "Amelia", "Ethan", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Emma is a knight, Amelia is a knight, Ethan is a knave, and Isabella is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Amelia is a knight\n(3) Ethan is a knave\n(4) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Isabella is not a knight.", "Isabella cannot be a knight, because this would contradict the claim of Emma that Isabella is not a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Isabella is not a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Isabella is not a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('lying', 3), ('not', ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "index": 252}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Owen, Benjamin, and Jackson. Penelope commented, \"Owen is a knave or Jackson is a knave\". According to Owen, \"Penelope is a knight or Penelope is a knave\". \"If Benjamin is a knight then Owen is a knight,\" Benjamin declared. Jackson stated, \"Owen is a knight or Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Owen", "Benjamin", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Penelope is a knave, Owen is a knight, Benjamin is a knight, and Jackson is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Owen is a knight\n(3) Benjamin is a knight\n(4) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Owen is a knave or Jackson is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Penelope is a knight or Penelope is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Penelope that Owen is a knave or Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Owen is a knight or Benjamin is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the false claim of their own that Penelope is a knight or Penelope is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Owen is a knave or Jackson is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Penelope is a knight or Penelope is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Owen is a knight or Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Benjamin is a knight then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('or', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "index": 253}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Zoey, Scarlett, and Benjamin. Elizabeth noted, \"Scarlett is a knave or Scarlett is a knight\". \"Benjamin is not a knight\" - Zoey. Scarlett noted, \"Zoey is a knave if and only if Elizabeth is a knight\". Benjamin said, \"Elizabeth is a knight or Elizabeth is a knave.\" So who is a knight and who is a knave?", "names": ["Elizabeth", "Zoey", "Scarlett", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Elizabeth is a knight, Zoey is a knave, Scarlett is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Zoey is a knave\n(3) Scarlett is a knight\n(4) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Scarlett is a knave or Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Elizabeth is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Scarlett that Zoey is a knave if and only if Elizabeth is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Elizabeth is a knight or Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('<=>', ('lying', 1), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 254}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Grace, Aria, and Sophia. \"Grace is a knight if and only if Grace is a knave,\" Charlotte declared. \"Aria is a knight and Charlotte is a knave,\" Grace mentioned. \"If Aria is a knight then Grace is a knight,\" Aria claimed. \"Charlotte is not a knight\" - Sophia. So who is a knight and who is a knave?", "names": ["Charlotte", "Grace", "Aria", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Charlotte is a knave, Grace is a knight, Aria is a knight, and Sophia is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Grace is a knight\n(3) Aria is a knight\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Charlotte cannot be a knight, because this would contradict the claim of their own that Grace is a knight if and only if Grace is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Aria is a knight and Charlotte is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Aria is a knight then Grace is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Charlotte is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 2), ('lying', 0)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 0)))", "index": 255}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Aiden, Jack, and Mia. Amelia expressed that Jack is a knave and Aiden is a knight. \"Amelia is a knight\" - Aiden. Jack told you that If Amelia is a knave then Aiden is a knave. As Mia put it, \"Amelia is a knight if and only if Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Aiden", "Jack", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Amelia is a knave, Aiden is a knave, Jack is a knight, and Mia is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Aiden is a knave\n(3) Jack is a knight\n(4) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Jack is a knave and Aiden is a knight.", "Jack cannot be a knight, because this would contradict the claim of Amelia that Jack is a knave and Aiden is a knight.", "Jack cannot be a knave, because this would contradict the false claim of their own that If Amelia is a knave then Aiden is a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jack is a knave and Aiden is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Amelia is a knave then Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Amelia is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Amelia is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Amelia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 0), ('->', ('lying', 0), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 256}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Liam, Logan, and Ella. \"Logan is a knave if and only if Liam is a knight,\" Matthew declared. Liam was heard saying, \"Matthew is a knave or Ella is a knight\". Logan asserted: \"If Matthew is a knave then Liam is a knight\". \"Liam is a knave,\" Ella mentioned. So who is a knight and who is a knave?", "names": ["Matthew", "Liam", "Logan", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Matthew is a knave, Liam is a knight, Logan is a knight, and Ella is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Liam is a knight\n(3) Logan is a knight\n(4) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Logan is a knave if and only if Liam is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Matthew is a knave then Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of Matthew that Logan is a knave if and only if Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Matthew is a knave or Ella is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Liam that Matthew is a knave or Ella is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that Liam is a knave.", "We have exhausted all possibilities for Ella and Liam, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the false claim of their own that If Matthew is a knave then Liam is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Liam is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Matthew is a knave then Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Matthew is a knave or Ella is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Liam is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 1)), ('lying', 1))", "index": 257}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Lily, Daniel, and Victoria. According to Sofia, \"Lily is a knight if and only if Victoria is a knave\". \"Sofia is a knave or Daniel is a knave,\" Lily declared. Daniel noted, \"If Daniel is a knight then Sofia is a knight\". Victoria stated, \"Sofia is a knight or Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Lily", "Daniel", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Sofia is a knight, Lily is a knave, Daniel is a knight, and Victoria is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Lily is a knave\n(3) Daniel is a knight\n(4) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Lily is a knight if and only if Victoria is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Sofia is a knave or Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Lily that Sofia is a knave or Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that If Daniel is a knight then Sofia is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Sofia is a knave or Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Daniel is a knight then Sofia is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Sofia is a knight or Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 3)), ('or', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 2)))", "index": 258}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, James, Jacob, and Sofia. As Penelope put it, \"Sofia is a knave\". James was heard saying, \"Jacob is a knave if and only if Sofia is a knight\". According to Jacob, \"If James is a knave then James is a knight\". In a statement by Sofia: \"Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "James", "Jacob", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Penelope is a knight, James is a knave, Jacob is a knave, and Sofia is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) James is a knave\n(3) Jacob is a knave\n(4) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Penelope that Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Sofia that Jacob is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that If James is a knave then James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Jacob is a knave if and only if Sofia is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('<=>', ('lying', 2), ('telling-truth', 3)), ('->', ('lying', 1), ('telling-truth', 1)), ('telling-truth', 2))", "index": 259}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Daniel, Jack, and William. \"If Ava is a knight then Daniel is a knight\" - Ava. Daniel expressed that If Jack is a knight then Ava is a knight. Jack expressed that If Daniel is a knave then Daniel is a knight. William expressed that Jack is not a knave. So who is a knight and who is a knave?", "names": ["Ava", "Daniel", "Jack", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Ava is a knight, Daniel is a knight, Jack is a knight, and William is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Daniel is a knight\n(3) Jack is a knight\n(4) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that If Ava is a knight then Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Jack is a knight then Ava is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Daniel is a knave then Daniel is a knight.", "Assume William is a knight. No contradiction is found in their claim that Jack is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 2)))", "index": 260}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Owen, Alexander, and Sebastian. Luke said that If Owen is a knave then Alexander is a knight. \"Luke is a knave and Alexander is a knight\" - Owen. \"If Sebastian is a knave then Luke is a knight,\" Alexander declared. \"Owen is a knave if and only if Luke is a knave,\" Sebastian claimed. So who is a knight and who is a knave?", "names": ["Luke", "Owen", "Alexander", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Luke is a knight, Owen is a knave, Alexander is a knight, and Sebastian is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) Owen is a knave\n(3) Alexander is a knight\n(4) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that If Owen is a knave then Alexander is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Luke is a knave and Alexander is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Luke is a knave and Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Sebastian is a knave then Luke is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Owen is a knave if and only if Luke is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 2)), ('and', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 3), ('telling-truth', 0)), ('<=>', ('lying', 1), ('lying', 0)))", "index": 261}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Jackson, Avery, and Alexander. In a statement by Evelyn: \"Alexander is a knight if and only if Jackson is a knight\". Jackson noted, \"Avery is a knave if and only if Evelyn is a knave\". Avery was heard saying, \"Jackson is a knight\". Alexander said that Jackson is a knight and Avery is a knave. So who is a knight and who is a knave?", "names": ["Evelyn", "Jackson", "Avery", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Evelyn is a knight, Jackson is a knave, Avery is a knave, and Alexander is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Jackson is a knave\n(3) Avery is a knave\n(4) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Jackson is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Jackson is a knight and Avery is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Avery is a knave if and only if Evelyn is a knave.", "Avery cannot be a knight, because this would contradict the claim of Alexander that Jackson is a knight and Avery is a knave.", "Avery cannot be a knave, because this would contradict the claim of Jackson that Avery is a knave if and only if Evelyn is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Evelyn that Alexander is a knight if and only if Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Jackson is a knight and Avery is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Evelyn that Alexander is a knight if and only if Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Evelyn is a knave.", "Avery cannot be a knight, because this would contradict the false claim of Jackson that Avery is a knave if and only if Evelyn is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('lying', 2), ('lying', 0)), ('telling-truth', 1), ('and', ('telling-truth', 1), ('lying', 2)))", "index": 262}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Amelia, Sofia, and Riley. \"Amelia is a knight or Riley is a knave,\" Aiden declared. \"Aiden is a knave or Aiden is a knight\" - Amelia. Sofia told you that Riley is a knave and Riley is a knight. Riley noted, \"Aiden is not a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Amelia", "Sofia", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Aiden is a knight, Amelia is a knight, Sofia is a knave, and Riley is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Amelia is a knight\n(3) Sofia is a knave\n(4) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Amelia is a knight or Riley is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Aiden is a knave or Aiden is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Aiden is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Aiden is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Riley is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Riley is a knave and Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 0)), ('and', ('lying', 3), ('telling-truth', 3)), ('not', ('telling-truth', 0)))", "index": 263}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Evelyn, Daniel, and Isabella. Olivia asserted: \"Evelyn is a knight or Isabella is a knight\". \"Daniel is a knave,\" Evelyn claimed. According to Daniel, \"Evelyn is a knave if and only if Evelyn is a knight\". Isabella expressed that Olivia is a knight or Evelyn is a knight. So who is a knight and who is a knave?", "names": ["Olivia", "Evelyn", "Daniel", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Olivia is a knight, Evelyn is a knight, Daniel is a knave, and Isabella is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Evelyn is a knight\n(3) Daniel is a knave\n(4) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Evelyn is a knight or Isabella is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Evelyn that Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Evelyn is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Olivia is a knight or Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 3)), ('lying', 2), ('<=>', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "index": 264}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Riley, Daniel, and Henry. In Mason's words: \"Mason is a knight and Daniel is a knight\". Riley commented, \"Henry is a knave or Daniel is a knight\". Daniel said that Henry is a knave if and only if Mason is a knave. In a statement by Henry: \"Daniel is not a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Riley", "Daniel", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Mason is a knight, Riley is a knight, Daniel is a knight, and Henry is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Riley is a knight\n(3) Daniel is a knight\n(4) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Mason is a knight and Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Henry is a knave if and only if Mason is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Daniel is not a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Henry is a knave or Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 3), ('telling-truth', 2)), ('<=>', ('lying', 3), ('lying', 0)), ('not', ('lying', 2)))", "index": 265}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Ava, Olivia, and Penelope. \"Olivia is a knight if and only if Penelope is a knave\" - Riley. Ava expressed that Riley is a knight if and only if Penelope is a knave. According to Olivia, \"Penelope is a knight\". Penelope told you that Riley is a knave or Ava is a knave. So who is a knight and who is a knave?", "names": ["Riley", "Ava", "Olivia", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Riley is a knave, Ava is a knight, Olivia is a knight, and Penelope is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Ava is a knight\n(3) Olivia is a knight\n(4) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Penelope is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Riley that Olivia is a knight if and only if Penelope is a knave.", "Penelope cannot be a knave, because this would contradict the claim of Olivia that Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Olivia that Penelope is a knight.", "Penelope cannot be a knave, because this would contradict the claim of Riley that Olivia is a knight if and only if Penelope is a knave.", "We have exhausted all possibilities for Penelope and Olivia, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Penelope is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Riley is a knave or Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Riley is a knight if and only if Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('telling-truth', 3), ('or', ('lying', 0), ('lying', 1)))", "index": 266}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Aurora, Mason, and Penelope. Michael noted, \"Mason is a knave if and only if Mason is a knight\". Aurora told you that Penelope is a knave and Michael is a knight. Mason stated, \"Penelope is a knave\". Penelope commented, \"Michael is a knave and Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Aurora", "Mason", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Michael is a knave, Aurora is a knave, Mason is a knight, and Penelope is a knave.", "solution_text_format": "(1) Michael is a knave\n(2) Aurora is a knave\n(3) Mason is a knight\n(4) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Michael cannot be a knight, because this would contradict the claim of their own that Mason is a knave if and only if Mason is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Mason that Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Michael is a knave and Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Michael is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Penelope is a knave and Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 3), ('telling-truth', 0)), ('lying', 3), ('and', ('lying', 0), ('telling-truth', 1)))", "index": 267}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, Ethan, Penelope, and Avery. Sebastian told you that Avery is not a knave. \"Sebastian is a knave or Penelope is a knave,\" Ethan claimed. As Penelope put it, \"Sebastian is a knave and Ethan is a knight\". Avery expressed that Penelope is a knight and Avery is a knight. So who is a knight and who is a knave?", "names": ["Sebastian", "Ethan", "Penelope", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Sebastian is a knave, Ethan is a knight, Penelope is a knight, and Avery is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Ethan is a knight\n(3) Penelope is a knight\n(4) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Penelope is a knight and Avery is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Ethan is a knight.", "Penelope cannot be a knave, because this would contradict the claim of Avery that Penelope is a knight and Avery is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Sebastian that Avery is not a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of Sebastian that Avery is not a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Penelope is a knight and Avery is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Sebastian is a knave and Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Sebastian is a knave or Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('lying', 0), ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 3)))", "index": 268}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Luke, Scarlett, and Mia. \"Scarlett is not a knight,\" Emily mentioned. Luke commented, \"If Emily is a knave then Mia is a knight\". Scarlett noted, \"Emily is a knave and Mia is a knight\". Mia asserted: \"Emily is a knight and Luke is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Luke", "Scarlett", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Emily is a knight, Luke is a knight, Scarlett is a knave, and Mia is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Luke is a knight\n(3) Scarlett is a knave\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Emily that Scarlett is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Emily is a knave and Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Emily is a knight and Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Emily is a knave then Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 3)), ('and', ('lying', 0), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 269}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Chloe, Avery, and Scarlett. Jacob noted, \"If Scarlett is a knight then Chloe is a knave\". \"If Jacob is a knight then Avery is a knight,\" Chloe declared. Avery commented, \"Jacob is not a knight\". Scarlett remarked, \"Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Chloe", "Avery", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Jacob is a knight, Chloe is a knave, Avery is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Chloe is a knave\n(3) Avery is a knave\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that If Scarlett is a knight then Chloe is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jacob is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Jacob that If Scarlett is a knight then Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Jacob is a knight then Avery is a knight.", "Avery cannot be a knight, because this would contradict the false claim of Chloe that If Jacob is a knight then Avery is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Jacob is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('telling-truth', 0))", "index": 270}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Aurora, Harper, and Jackson. \"Aurora is a knave and Jackson is a knave,\" Logan mentioned. \"Jackson is not a knave,\" Aurora declared. Harper noted, \"Harper is a knight\". \"If Logan is a knave then Harper is a knave,\" Jackson mentioned. So who is a knight and who is a knave?", "names": ["Logan", "Aurora", "Harper", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Logan is a knave, Aurora is a knight, Harper is a knave, and Jackson is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Aurora is a knight\n(3) Harper is a knave\n(4) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Aurora is a knave and Jackson is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Logan that Aurora is a knave and Jackson is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Jackson is not a knave.", "Jackson cannot be a knight, because this would contradict the claim of Logan that Aurora is a knave and Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that If Logan is a knave then Harper is a knave.", "We have exhausted all possibilities for Jackson and Aurora, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Aurora is a knave and Jackson is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Jackson is not a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Logan is a knave then Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Jackson that If Logan is a knave then Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 3)), ('not', ('lying', 3)), ('telling-truth', 2), ('->', ('lying', 0), ('lying', 2)))", "index": 271}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Benjamin, David, and Ava. \"Benjamin is a knave,\" Harper declared. Benjamin expressed that David is a knight. \"Harper is a knave and Ava is a knight,\" David mentioned. In a statement by Ava: \"Benjamin is a knave or David is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Benjamin", "David", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Harper is a knight, Benjamin is a knave, David is a knave, and Ava is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Benjamin is a knave\n(3) David is a knave\n(4) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Harper that Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that David is a knight.", "David cannot be a knight, because this would contradict the false claim of Benjamin that David is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Harper is a knave and Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Benjamin is a knave or David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('telling-truth', 2), ('and', ('lying', 0), ('telling-truth', 3)), ('or', ('lying', 1), ('lying', 2)))", "index": 272}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Jackson, Matthew, and Avery. Alexander asserted: \"If Avery is a knight then Jackson is a knave\". Jackson expressed that Alexander is a knave and Alexander is a knight. As Matthew put it, \"Alexander is a knave or Avery is a knave\". As Avery put it, \"Matthew is a knight and Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Jackson", "Matthew", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Alexander is a knight, Jackson is a knave, Matthew is a knight, and Avery is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Jackson is a knave\n(3) Matthew is a knight\n(4) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that If Avery is a knight then Jackson is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Matthew is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Matthew is a knight and Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Alexander is a knave or Avery is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Alexander is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Alexander is a knave and Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 0)), ('or', ('lying', 0), ('lying', 3)), ('and', ('telling-truth', 2), ('lying', 2)))", "index": 273}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Scarlett, Harper, and William. \"Harper is a knave and Emma is a knight\" - Emma. As Scarlett put it, \"William is a knave or Scarlett is a knight\". \"William is a knight,\" Harper claimed. \"If Scarlett is a knave then Scarlett is a knight,\" William mentioned. So who is a knight and who is a knave?", "names": ["Emma", "Scarlett", "Harper", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Emma is a knave, Scarlett is a knight, Harper is a knight, and William is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) Scarlett is a knight\n(3) Harper is a knight\n(4) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Harper is a knave and Emma is a knight.", "Harper cannot be a knight, because this would contradict the claim of Emma that Harper is a knave and Emma is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that William is a knight.", "William cannot be a knight, because this would contradict the false claim of Harper that William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that If Scarlett is a knave then Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of William that If Scarlett is a knave then Scarlett is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that William is a knave or Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, William, and Harper, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Harper is a knave and Emma is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that William is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Scarlett is a knave then Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that William is a knave or Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('or', ('lying', 3), ('telling-truth', 1)), ('telling-truth', 3), ('->', ('lying', 1), ('telling-truth', 1)))", "index": 274}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Ava, Jack, and Amelia. William stated, \"Amelia is a knave and Jack is a knave\". According to Ava, \"If William is a knight then William is a knave\". Jack said, \"Amelia is not a knave.\" \"If Amelia is a knight then William is a knave,\" Amelia declared. So who is a knight and who is a knave?", "names": ["William", "Ava", "Jack", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "William is a knave, Ava is a knight, Jack is a knight, and Amelia is a knight.", "solution_text_format": "(1) William is a knave\n(2) Ava is a knight\n(3) Jack is a knight\n(4) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Amelia is a knave and Jack is a knave.", "Amelia cannot be a knight, because this would contradict the claim of William that Amelia is a knave and Jack is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that If Amelia is a knight then William is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Amelia is a knave and Jack is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Amelia is a knight then William is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Amelia is not a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If William is a knight then William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 2)), ('->', ('telling-truth', 0), ('lying', 0)), ('not', ('lying', 3)), ('->', ('telling-truth', 3), ('lying', 0)))", "index": 275}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Riley, Sebastian, and Elizabeth. As David put it, \"Sebastian is a knight\". Riley stated, \"Elizabeth is not a knave\". \"David is a knight if and only if David is a knave,\" Sebastian declared. \"David is a knight,\" Elizabeth declared. So who is a knight and who is a knave?", "names": ["David", "Riley", "Sebastian", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "David is a knave, Riley is a knave, Sebastian is a knave, and Elizabeth is a knave.", "solution_text_format": "(1) David is a knave\n(2) Riley is a knave\n(3) Sebastian is a knave\n(4) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that David is a knight if and only if David is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of David that Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of David that Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that David is a knight if and only if David is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that David is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Riley that Elizabeth is not a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Elizabeth is not a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Riley that Elizabeth is not a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('not', ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('telling-truth', 0))", "index": 276}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Sofia, William, and Ava. As Mason put it, \"If Ava is a knight then Sofia is a knave\". \"Ava is a knave,\" Sofia mentioned. William remarked, \"If Ava is a knight then William is a knight\". According to Ava, \"Sofia is a knight if and only if William is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Sofia", "William", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Mason is a knight, Sofia is a knave, William is a knave, and Ava is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Sofia is a knave\n(3) William is a knave\n(4) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that If Ava is a knight then Sofia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Sofia is a knight if and only if William is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Mason that If Ava is a knight then Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Ava is a knave.", "William cannot be a knight, because this would contradict the claim of Ava that Sofia is a knight if and only if William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that If Ava is a knight then William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 1)), ('lying', 3), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "index": 277}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Lily, Amelia, and Riley. Ella noted, \"Riley is a knight and Riley is a knave\". Lily commented, \"Amelia is a knave and Ella is a knave\". In Amelia's words: \"Ella is a knave\". According to Riley, \"Ella is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Lily", "Amelia", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Ella is a knave, Lily is a knave, Amelia is a knight, and Riley is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Lily is a knave\n(3) Amelia is a knight\n(4) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Ella cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Riley is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Riley is a knight and Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Ella is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Amelia is a knave and Ella is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Lily that Amelia is a knave and Ella is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Ella is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Amelia is a knave and Ella is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 3)), ('and', ('lying', 2), ('lying', 0)), ('lying', 0), ('lying', 0))", "index": 278}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, William, David, and Sebastian. Evelyn said, \"David is a knave.\" William said, \"Evelyn is not a knight.\" \"William is a knave if and only if Sebastian is a knight,\" David claimed. In a statement by Sebastian: \"Sebastian is a knight if and only if William is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "William", "David", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Evelyn is a knight, William is a knave, David is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) William is a knave\n(3) David is a knave\n(4) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that David is a knave.", "David cannot be a knight, because this would contradict the claim of Evelyn that David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that William is a knave if and only if Sebastian is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Evelyn is not a knight.", "Assume William is a knave. No contradiction is found in their false claim that Evelyn is not a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of David that William is a knave if and only if Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('not', ('telling-truth', 0)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('lying', 1)))", "index": 279}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Jacob, Charlotte, and Ella. Henry noted, \"Henry is a knight\". Jacob commented, \"Charlotte is not a knave\". Charlotte expressed that If Ella is a knight then Henry is a knave. In Ella's words: \"Charlotte is not a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Jacob", "Charlotte", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Henry is a knave, Jacob is a knight, Charlotte is a knight, and Ella is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Jacob is a knight\n(3) Charlotte is a knight\n(4) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Henry is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Ella is a knight then Henry is a knave.", "Ella cannot be a knight, because this would contradict the claim of Charlotte that If Ella is a knight then Henry is a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that Charlotte is not a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Jacob that Charlotte is not a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Charlotte is not a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Jacob that Charlotte is not a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Ella is a knight then Henry is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knave.", "Ella cannot be a knave, because this would contradict the false claim of Charlotte that If Ella is a knight then Henry is a knave.", "We have exhausted all possibilities for Ella, Charlotte, and Jacob, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Henry is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Ella is a knight then Henry is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Charlotte is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('not', ('lying', 2)), ('->', ('telling-truth', 3), ('lying', 0)), ('not', ('lying', 2)))", "index": 280}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Lily, Avery, and Elizabeth. \"Elizabeth is not a knave\" - Emma. As Lily put it, \"Emma is a knight if and only if Elizabeth is a knight\". Avery noted, \"Emma is a knave if and only if Elizabeth is a knave\". \"If Elizabeth is a knight then Lily is a knight,\" Elizabeth claimed. So who is a knight and who is a knave?", "names": ["Emma", "Lily", "Avery", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Emma is a knight, Lily is a knight, Avery is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Lily is a knight\n(3) Avery is a knight\n(4) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Emma is a knight if and only if Elizabeth is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Emma is a knave if and only if Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('lying', 0), ('lying', 3)), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 281}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Sophia, Jacob, and Samuel. Michael noted, \"Jacob is a knave or Samuel is a knight\". Sophia said that Michael is a knight if and only if Jacob is a knave. In a statement by Jacob: \"Michael is not a knight\". As Samuel put it, \"Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Sophia", "Jacob", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Michael is a knight, Sophia is a knight, Jacob is a knave, and Samuel is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Sophia is a knight\n(3) Jacob is a knave\n(4) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Jacob is a knave or Samuel is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Jacob is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Jacob is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Michael is a knight if and only if Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('not', ('telling-truth', 0)), ('telling-truth', 2))", "index": 282}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, James, Jacob, and Jack. Sebastian told you that Jacob is not a knave. James was heard saying, \"Jack is not a knave\". Jacob asserted: \"Sebastian is a knave if and only if James is a knave\". \"Jacob is not a knight,\" Jack mentioned. So who is a knight and who is a knave?", "names": ["Sebastian", "James", "Jacob", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Sebastian is a knave, James is a knight, Jacob is a knave, and Jack is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) James is a knight\n(3) Jacob is a knave\n(4) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Jack is not a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Jacob is not a knight.", "Jack cannot be a knave, because this would contradict the claim of James that Jack is not a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Jacob that Sebastian is a knave if and only if James is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Sebastian that Jacob is not a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jacob is not a knave.", "Jacob cannot be a knight, because this would contradict the false claim of Sebastian that Jacob is not a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Sebastian is a knave if and only if James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Jack is not a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Jacob is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('not', ('lying', 3)), ('<=>', ('lying', 0), ('lying', 1)), ('not', ('telling-truth', 2)))", "index": 283}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Jackson, Lucas, and Harper. Mia said, \"If Mia is a knight then Harper is a knave.\" Jackson commented, \"Jackson is a knight\". Lucas remarked, \"Jackson is a knight if and only if Harper is a knight\". Harper was heard saying, \"Lucas is a knave if and only if Harper is a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Jackson", "Lucas", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Mia is a knight, Jackson is a knight, Lucas is a knave, and Harper is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Jackson is a knight\n(3) Lucas is a knave\n(4) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that If Mia is a knight then Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Mia that If Mia is a knight then Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Harper is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Harper that Lucas is a knave if and only if Harper is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Harper is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 3)), ('telling-truth', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('lying', 2), ('telling-truth', 3)))", "index": 284}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, Emma, Henry, and Isabella. Abigail remarked, \"Henry is a knight if and only if Emma is a knight\". \"Isabella is a knave\" - Emma. Henry said that Isabella is a knight and Abigail is a knight. Isabella said, \"If Abigail is a knave then Abigail is a knight.\" So who is a knight and who is a knave?", "names": ["Abigail", "Emma", "Henry", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Abigail is a knave, Emma is a knight, Henry is a knave, and Isabella is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) Emma is a knight\n(3) Henry is a knave\n(4) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Henry is a knight if and only if Emma is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Isabella is a knight and Abigail is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Abigail is a knave then Abigail is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Isabella is a knave.", "Emma cannot be a knave, because this would contradict the claim of Abigail that Henry is a knight if and only if Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Henry that Isabella is a knight and Abigail is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Isabella is a knight and Abigail is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Henry that Isabella is a knight and Abigail is a knight.", "Isabella cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knave then Abigail is a knight.", "We have exhausted all possibilities for Isabella and Henry, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Emma is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and Abigail is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Isabella is a knight and Abigail is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that If Abigail is a knave then Abigail is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that If Abigail is a knave then Abigail is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('lying', 3), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 0)))", "index": 285}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Amelia, Olivia, and Aiden. Ethan remarked, \"If Olivia is a knight then Amelia is a knave\". According to Amelia, \"Aiden is a knight or Olivia is a knave\". \"If Ethan is a knight then Ethan is a knave,\" Olivia declared. Aiden said that Amelia is a knave. So who is a knight and who is a knave?", "names": ["Ethan", "Amelia", "Olivia", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Ethan is a knight, Amelia is a knight, Olivia is a knave, and Aiden is a knave.", "solution_text_format": "(1) Ethan is a knight\n(2) Amelia is a knight\n(3) Olivia is a knave\n(4) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that If Olivia is a knight then Amelia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that If Ethan is a knight then Ethan is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Ethan is a knight then Ethan is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Aiden is a knight or Olivia is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Amelia is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('or', ('telling-truth', 3), ('lying', 2)), ('->', ('telling-truth', 0), ('lying', 0)), ('lying', 1))", "index": 286}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Abigail, Ava, and Harper. As Daniel put it, \"Abigail is a knave if and only if Ava is a knave\". \"Ava is not a knave,\" Abigail mentioned. Ava was heard saying, \"Daniel is a knight or Daniel is a knave\". As Harper put it, \"Ava is a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "Abigail", "Ava", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Daniel is a knight, Abigail is a knight, Ava is a knight, and Harper is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Abigail is a knight\n(3) Ava is a knight\n(4) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Ava is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Ava is not a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Daniel is a knight or Daniel is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Ava is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('not', ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 0)), ('lying', 2))", "index": 287}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Grace, Jacob, and Emily. Scarlett told you that Grace is a knave if and only if Emily is a knave. Grace asserted: \"Scarlett is a knave\". In Jacob's words: \"If Emily is a knight then Emily is a knave\". As Emily put it, \"Scarlett is not a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Grace", "Jacob", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Scarlett is a knave, Grace is a knight, Jacob is a knight, and Emily is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Grace is a knight\n(3) Jacob is a knight\n(4) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Grace is a knave if and only if Emily is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Emily cannot be a knight, because this would contradict the claim of Scarlett that Grace is a knave if and only if Emily is a knave.", "Emily cannot be a knave, because this would contradict the false claim of their own that Scarlett is not a knave.", "We have exhausted all possibilities for Emily and Grace, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Emily is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Emily cannot be a knight, because this would contradict the false claim of Scarlett that Grace is a knave if and only if Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Scarlett is not a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Emily is a knight then Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 3)), ('lying', 0), ('->', ('telling-truth', 3), ('lying', 3)), ('not', ('lying', 0)))", "index": 288}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Ethan, Logan, and Sofia. In a statement by Michael: \"Ethan is a knave or Michael is a knight\". Ethan remarked, \"If Michael is a knight then Ethan is a knight\". Logan remarked, \"If Sofia is a knave then Ethan is a knave\". Sofia remarked, \"Logan is not a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Ethan", "Logan", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Michael is a knight, Ethan is a knave, Logan is a knight, and Sofia is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Ethan is a knave\n(3) Logan is a knight\n(4) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Ethan is a knave or Michael is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Michael is a knight then Ethan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Sofia is a knave then Ethan is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Logan is not a knight.", "Sofia cannot be a knave, because this would contradict the claim of Logan that If Sofia is a knave then Ethan is a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that If Sofia is a knave then Ethan is a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Logan that If Sofia is a knave then Ethan is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Logan is not a knight.", "We have exhausted all possibilities for Sofia and Logan, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Michael is a knight then Ethan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Sofia is a knave then Ethan is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Logan is not a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Logan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 3), ('lying', 1)), ('not', ('telling-truth', 2)))", "index": 289}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Jackson, Grace, and Sofia. In a statement by Luke: \"Grace is a knight and Jackson is a knave\". Jackson said that Sofia is a knave and Luke is a knight. Grace told you that Sofia is a knight. Sofia asserted: \"Jackson is not a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Jackson", "Grace", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Luke is a knight, Jackson is a knave, Grace is a knight, and Sofia is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Jackson is a knave\n(3) Grace is a knight\n(4) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Grace is a knight and Jackson is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Luke that Grace is a knight and Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Sofia is a knave and Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 1)), ('and', ('lying', 3), ('telling-truth', 0)), ('telling-truth', 3), ('not', ('telling-truth', 1)))", "index": 290}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Jackson, David, and Sophia. Amelia said that If Jackson is a knight then Sophia is a knight. \"David is a knave or Jackson is a knight\" - Jackson. David told you that Sophia is a knight. Sophia said that David is a knight and Amelia is a knave. So who is a knight and who is a knave?", "names": ["Amelia", "Jackson", "David", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Amelia is a knave, Jackson is a knight, David is a knave, and Sophia is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Jackson is a knight\n(3) David is a knave\n(4) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that If Jackson is a knight then Sophia is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that David is a knave or Jackson is a knight.", "Assume David is a knight. No contradiction is found in their claim that Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that David is a knight and Amelia is a knave.", "Sophia cannot be a knave, because this would contradict the claim of Amelia that If Jackson is a knight then Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of David that Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the claim of Amelia that If Jackson is a knight then Sophia is a knight.", "We have exhausted all possibilities for Sophia and David, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that David is a knave or Jackson is a knight.", "Assume David is a knight. No contradiction is found in their claim that Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that David is a knight and Amelia is a knave.", "Sophia cannot be a knave, because this would contradict the claim of David that Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the false claim of Jackson that David is a knave or Jackson is a knight.", "We have exhausted all possibilities for David and Jackson, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that If Jackson is a knight then Sophia is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that David is a knave or Jackson is a knight.", "Assume David is a knight. No contradiction is found in their claim that Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Amelia that If Jackson is a knight then Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the claim of David that Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Amelia that If Jackson is a knight then Sophia is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that David is a knight and Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 3), ('and', ('telling-truth', 2), ('lying', 0)))", "index": 291}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Ella, Matthew, and Noah. Ava asserted: \"Matthew is a knave if and only if Matthew is a knight\". Ella remarked, \"If Matthew is a knave then Noah is a knight\". \"If Ella is a knight then Ella is a knave\" - Matthew. Noah was heard saying, \"If Ava is a knave then Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Ella", "Matthew", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Ava is a knave, Ella is a knight, Matthew is a knave, and Noah is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Ella is a knight\n(3) Matthew is a knave\n(4) Noah is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Ava cannot be a knight, because this would contradict the claim of their own that Matthew is a knave if and only if Matthew is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Ella is a knight then Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Matthew that If Ella is a knight then Ella is a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that If Matthew is a knave then Noah is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Ella is a knight then Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Matthew is a knave then Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that If Ava is a knave then Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('->', ('lying', 2), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('lying', 1)), ('->', ('lying', 0), ('lying', 2)))", "index": 292}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Emma, Mason, and Jacob. \"Emma is a knave,\" Matthew declared. In Emma's words: \"Mason is a knight\". Mason noted, \"Emma is a knave and Matthew is a knave\". As Jacob put it, \"Mason is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Emma", "Mason", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Matthew is a knight, Emma is a knave, Mason is a knave, and Jacob is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Emma is a knave\n(3) Mason is a knave\n(4) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Matthew that Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Emma that Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Emma is a knave and Matthew is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('telling-truth', 2), ('and', ('lying', 1), ('lying', 0)), ('lying', 2))", "index": 293}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, David, Ethan, and Scarlett. Victoria expressed that Victoria is a knight if and only if Ethan is a knight. \"Victoria is a knave and Scarlett is a knave\" - David. Ethan stated, \"David is a knave if and only if Scarlett is a knight\". Scarlett said, \"David is a knave if and only if Victoria is a knight.\" So who is a knight and who is a knave?", "names": ["Victoria", "David", "Ethan", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Victoria is a knight, David is a knave, Ethan is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) David is a knave\n(3) Ethan is a knight\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that David is a knave if and only if Scarlett is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Scarlett is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Victoria is a knave and Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that David is a knave if and only if Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('lying', 0), ('lying', 3)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('<=>', ('lying', 1), ('telling-truth', 0)))", "index": 294}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Daniel, Sebastian, and James. Henry remarked, \"Daniel is a knave or James is a knight\". Daniel noted, \"Sebastian is a knight or Sebastian is a knave\". \"If James is a knave then Daniel is a knave,\" Sebastian mentioned. James commented, \"If Sebastian is a knight then Henry is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Daniel", "Sebastian", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Henry is a knight, Daniel is a knight, Sebastian is a knight, and James is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Daniel is a knight\n(3) Sebastian is a knight\n(4) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Daniel is a knave or James is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Sebastian is a knight or Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If James is a knave then Daniel is a knave.", "Assume James is a knight. No contradiction is found in their claim that If Sebastian is a knight then Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 2)), ('->', ('lying', 3), ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 0)))", "index": 295}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Jack, Emma, and David. Amelia asserted: \"David is not a knave\". Jack stated, \"David is a knave\". Emma said, \"If Emma is a knight then Amelia is a knave.\" David said, \"David is a knight and Jack is a knight.\" So who is a knight and who is a knave?", "names": ["Amelia", "Jack", "Emma", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Amelia is a knave, Jack is a knight, Emma is a knight, and David is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Jack is a knight\n(3) Emma is a knight\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that David is not a knave.", "Assume David is a knight. No contradiction is found in their claim that David is a knight and Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that David is a knave.", "Jack cannot be a knave, because this would contradict the claim of David that David is a knight and Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Amelia that David is not a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that David is not a knave.", "David cannot be a knight, because this would contradict the false claim of Amelia that David is not a knave.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight and Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that David is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Emma is a knight then Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('lying', 3), ('->', ('telling-truth', 2), ('lying', 0)), ('and', ('telling-truth', 3), ('telling-truth', 1)))", "index": 296}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Victoria, Avery, and Emma. In Henry's words: \"Victoria is a knave\". Victoria asserted: \"If Henry is a knight then Avery is a knight\". Avery stated, \"Victoria is not a knight\". \"Avery is a knave and Henry is a knave,\" Emma claimed. So who is a knight and who is a knave?", "names": ["Henry", "Victoria", "Avery", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Henry is a knave, Victoria is a knight, Avery is a knave, and Emma is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Victoria is a knight\n(3) Avery is a knave\n(4) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Henry that Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Henry is a knight then Avery is a knight.", "Avery cannot be a knight, because this would contradict the false claim of Victoria that If Henry is a knight then Avery is a knight.", "Avery cannot be a knave, because this would contradict the false claim of their own that Victoria is not a knight.", "We have exhausted all possibilities for Avery and Victoria, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Henry is a knight then Avery is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Avery is a knave and Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('telling-truth', 1)), ('and', ('lying', 2), ('lying', 0)))", "index": 297}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Owen, Mason, and Oliver. Liam said that Mason is a knave and Oliver is a knave. \"Liam is a knight if and only if Liam is a knave,\" Owen mentioned. As Mason put it, \"Oliver is a knight if and only if Liam is a knight\". According to Oliver, \"Mason is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Owen", "Mason", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Liam is a knight, Owen is a knave, Mason is a knave, and Oliver is a knave.", "solution_text_format": "(1) Liam is a knight\n(2) Owen is a knave\n(3) Mason is a knave\n(4) Oliver is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Mason is a knave and Oliver is a knave.", "Mason cannot be a knight, because this would contradict the claim of Liam that Mason is a knave and Oliver is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Liam is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Liam that Mason is a knave and Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Mason is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if Liam is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('telling-truth', 2))", "index": 298}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Olivia, Mason, and Elizabeth. Scarlett commented, \"Mason is not a knave\". In Olivia's words: \"Mason is a knight or Elizabeth is a knight\". Mason said that Elizabeth is not a knight. In a statement by Elizabeth: \"Elizabeth is a knight if and only if Mason is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Olivia", "Mason", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Scarlett is a knight, Olivia is a knight, Mason is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Olivia is a knight\n(3) Mason is a knight\n(4) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Mason is not a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Mason that Elizabeth is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Mason is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Mason is a knight or Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)))", "index": 299}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Ava, Joseph, and Luke. As Liam put it, \"Luke is a knight if and only if Luke is a knave\". Ava said that Liam is a knave and Joseph is a knight. \"Liam is a knight,\" Joseph declared. \"Ava is a knight and Joseph is a knave,\" Luke claimed. So who is a knight and who is a knave?", "names": ["Liam", "Ava", "Joseph", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Liam is a knave, Ava is a knave, Joseph is a knave, and Luke is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Ava is a knave\n(3) Joseph is a knave\n(4) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Liam cannot be a knight, because this would contradict the claim of their own that Luke is a knight if and only if Luke is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Ava is a knight and Joseph is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Liam is a knave and Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Liam is a knight.", "Joseph cannot be a knave, because this would contradict the claim of Ava that Liam is a knave and Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the claim of Luke that Ava is a knight and Joseph is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Ava is a knight and Joseph is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Liam is a knave and Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Liam is a knight.", "Joseph cannot be a knave, because this would contradict the claim of Ava that Liam is a knave and Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Liam is a knave and Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Ava that Liam is a knave and Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 2)), ('telling-truth', 0), ('and', ('telling-truth', 1), ('lying', 2)))", "index": 300}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Zoey, David, and Riley. Grace was heard saying, \"Zoey is not a knight\". \"Riley is a knight and David is a knight\" - Zoey. \"Riley is not a knight,\" David claimed. Riley remarked, \"Riley is a knight or David is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Zoey", "David", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Grace is a knight, Zoey is a knave, David is a knave, and Riley is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Zoey is a knave\n(3) David is a knave\n(4) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Grace that Zoey is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Riley is a knight and David is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Riley is a knight or David is a knight.", "David cannot be a knight, because this would contradict the false claim of Zoey that Riley is a knight and David is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Riley is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('or', ('telling-truth', 3), ('telling-truth', 2)))", "index": 301}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Jack, Benjamin, and Jackson. \"Jack is not a knight,\" Daniel claimed. According to Jack, \"Daniel is a knight or Jackson is a knave\". Benjamin stated, \"Jackson is a knave\". Jackson expressed that If Daniel is a knave then Benjamin is a knave. So who is a knight and who is a knave?", "names": ["Daniel", "Jack", "Benjamin", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Daniel is a knave, Jack is a knight, Benjamin is a knight, and Jackson is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Jack is a knight\n(3) Benjamin is a knight\n(4) Jackson is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Jack is not a knight.", "Jack cannot be a knight, because this would contradict the claim of Daniel that Jack is not a knight.", "Jack cannot be a knave, because this would contradict the false claim of their own that Daniel is a knight or Jackson is a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Jack is not a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Daniel is a knight or Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Jack that Daniel is a knight or Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Daniel is a knave then Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 3)), ('lying', 3), ('->', ('lying', 0), ('lying', 2)))", "index": 302}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Olivia, Charlotte, and Joseph. As Victoria put it, \"Victoria is a knight or Charlotte is a knight\". In a statement by Olivia: \"Charlotte is a knight if and only if Victoria is a knight\". Charlotte stated, \"Olivia is a knave and Joseph is a knave\". In a statement by Joseph: \"Victoria is not a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Olivia", "Charlotte", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Victoria is a knave, Olivia is a knight, Charlotte is a knave, and Joseph is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Olivia is a knight\n(3) Charlotte is a knave\n(4) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight or Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Olivia is a knave and Joseph is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Charlotte that Olivia is a knave and Joseph is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight if and only if Victoria is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Olivia is a knave and Joseph is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight if and only if Victoria is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Victoria is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Joseph cannot be a knave, because this would contradict the false claim of Charlotte that Olivia is a knave and Joseph is a knave.", "We have exhausted all possibilities for Joseph, Olivia, and Charlotte, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight or Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Victoria that Victoria is a knight or Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Olivia is a knave and Joseph is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Victoria is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Victoria is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('lying', 1), ('lying', 3)), ('not', ('telling-truth', 0)))", "index": 303}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Liam, Daniel, and James. According to Sofia, \"James is not a knave\". In a statement by Liam: \"Sofia is a knight\". \"Sofia is not a knave,\" Daniel declared. \"Sofia is a knave if and only if Liam is a knight\" - James. So who is a knight and who is a knave?", "names": ["Sofia", "Liam", "Daniel", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Sofia is a knave, Liam is a knave, Daniel is a knave, and James is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Liam is a knave\n(3) Daniel is a knave\n(4) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Sofia is a knave if and only if Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of James that Sofia is a knave if and only if Liam is a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Sofia that James is not a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that James is not a knave.", "James cannot be a knight, because this would contradict the false claim of Sofia that James is not a knave.", "Assume James is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Sofia is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Sofia is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Sofia is not a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Sofia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('telling-truth', 0), ('not', ('lying', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 304}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Owen, Emily, and Alexander. In a statement by Riley: \"If Emily is a knave then Owen is a knave\". As Owen put it, \"Alexander is a knight or Alexander is a knave\". According to Emily, \"Alexander is not a knight\". Alexander noted, \"Owen is not a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Owen", "Emily", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Riley is a knave, Owen is a knight, Emily is a knave, and Alexander is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Owen is a knight\n(3) Emily is a knave\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that If Emily is a knave then Owen is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Emily that Alexander is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Owen is not a knave.", "Owen cannot be a knight, because this would contradict the false claim of Alexander that Owen is not a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight or Alexander is a knave.", "We have exhausted all possibilities for Owen and Alexander, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Owen is not a knave.", "Owen cannot be a knight, because this would contradict the claim of Riley that If Emily is a knave then Owen is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight or Alexander is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the false claim of Emily that Alexander is not a knight.", "We have exhausted all possibilities for Alexander and Emily, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that If Emily is a knave then Owen is a knave.", "Emily cannot be a knight, because this would contradict the false claim of Riley that If Emily is a knave then Owen is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Alexander is a knight or Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('or', ('telling-truth', 3), ('lying', 3)), ('not', ('telling-truth', 3)), ('not', ('lying', 1)))", "index": 305}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Benjamin, Amelia, and Evelyn. Michael remarked, \"Benjamin is a knight if and only if Evelyn is a knight\". According to Benjamin, \"If Evelyn is a knight then Amelia is a knight\". According to Amelia, \"Benjamin is a knight or Evelyn is a knight\". Evelyn said, \"Benjamin is not a knave.\" So who is a knight and who is a knave?", "names": ["Michael", "Benjamin", "Amelia", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Michael is a knight, Benjamin is a knight, Amelia is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Benjamin is a knight\n(3) Amelia is a knight\n(4) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Evelyn is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Evelyn is a knight then Amelia is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Benjamin is a knight or Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('lying', 1)))", "index": 306}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Olivia, David, and Emma. Luke was heard saying, \"Olivia is a knave or Emma is a knight\". Olivia commented, \"Emma is a knight or David is a knight\". \"Luke is a knave if and only if Emma is a knave\" - David. In Emma's words: \"Olivia is a knave or Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Olivia", "David", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Luke is a knight, Olivia is a knight, David is a knight, and Emma is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Olivia is a knight\n(3) David is a knight\n(4) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Olivia is a knave or Emma is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Emma is a knight or David is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Olivia is a knave or Olivia is a knight.", "Assume David is a knight. No contradiction is found in their claim that Luke is a knave if and only if Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 3)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('lying', 0), ('lying', 3)), ('or', ('lying', 1), ('telling-truth', 1)))", "index": 307}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Lily, Olivia, and Daniel. \"Lily is a knave,\" Grace mentioned. Lily noted, \"Olivia is a knight and Olivia is a knave\". \"If Lily is a knight then Daniel is a knight\" - Olivia. \"Grace is a knight if and only if Lily is a knight\" - Daniel. So who is a knight and who is a knave?", "names": ["Grace", "Lily", "Olivia", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Grace is a knight, Lily is a knave, Olivia is a knight, and Daniel is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Lily is a knave\n(3) Olivia is a knight\n(4) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Grace that Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Olivia is a knight and Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that If Lily is a knight then Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Grace is a knight if and only if Lily is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('telling-truth', 2), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 308}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Owen, Chloe, and Lucas. Victoria noted, \"Chloe is not a knave\". \"Chloe is a knave or Lucas is a knight,\" Owen claimed. Chloe remarked, \"Lucas is a knight and Victoria is a knight\". Lucas stated, \"Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "Owen", "Chloe", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Victoria is a knave, Owen is a knight, Chloe is a knave, and Lucas is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Owen is a knight\n(3) Chloe is a knave\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Chloe is not a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Lucas is a knight and Victoria is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Chloe is a knave.", "Lucas cannot be a knave, because this would contradict the claim of Chloe that Lucas is a knight and Victoria is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the claim of Victoria that Chloe is not a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Chloe is not a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Victoria that Chloe is not a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Lucas is a knight and Victoria is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Chloe is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Chloe is a knave or Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('lying', 2), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 2))", "index": 309}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Grace, Henry, and Emily. Mia expressed that Grace is not a knave. Grace was heard saying, \"Henry is a knave and Mia is a knight\". Henry remarked, \"If Mia is a knave then Mia is a knight\". Emily asserted: \"Henry is not a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Grace", "Henry", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Mia is a knave, Grace is a knave, Henry is a knave, and Emily is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Grace is a knave\n(3) Henry is a knave\n(4) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Henry is a knave and Mia is a knight.", "Henry cannot be a knight, because this would contradict the claim of Grace that Henry is a knave and Mia is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that If Mia is a knave then Mia is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Mia that Grace is not a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Grace is not a knave.", "Grace cannot be a knight, because this would contradict the false claim of Mia that Grace is not a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Henry is a knave and Mia is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that If Mia is a knave then Mia is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that If Mia is a knave then Mia is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Henry is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('lying', 2), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 0)), ('not', ('telling-truth', 2)))", "index": 310}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Mason, Charlotte, and Henry. \"Henry is not a knight\" - James. Mason noted, \"Henry is a knight\". Charlotte was heard saying, \"Mason is a knight and Charlotte is a knight\". Henry remarked, \"Mason is a knave if and only if Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["James", "Mason", "Charlotte", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "James is a knave, Mason is a knight, Charlotte is a knight, and Henry is a knight.", "solution_text_format": "(1) James is a knave\n(2) Mason is a knight\n(3) Charlotte is a knight\n(4) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Henry is not a knight.", "Henry cannot be a knight, because this would contradict the claim of James that Henry is not a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Charlotte is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Henry is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Henry is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Mason is a knight and Charlotte is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of Henry that Mason is a knave if and only if Charlotte is a knave.", "We have exhausted all possibilities for Charlotte, Mason, and Henry, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Henry is not a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Mason is a knave if and only if Charlotte is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Henry is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Mason is a knight and Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('telling-truth', 3), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('lying', 1), ('lying', 2)))", "index": 311}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Avery, Jacob, and Penelope. Benjamin commented, \"Avery is a knave\". Avery expressed that Penelope is a knight. Jacob said, \"Avery is a knave and Penelope is a knave.\" \"Jacob is a knave or Jacob is a knight,\" Penelope mentioned. So who is a knight and who is a knave?", "names": ["Benjamin", "Avery", "Jacob", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Benjamin is a knave, Avery is a knight, Jacob is a knave, and Penelope is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Avery is a knight\n(3) Jacob is a knave\n(4) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Benjamin that Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Avery that Penelope is a knight.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Jacob is a knave or Jacob is a knight.", "We have exhausted all possibilities for Penelope and Avery, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Jacob is a knave or Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Penelope is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Avery is a knave and Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('telling-truth', 3), ('and', ('lying', 1), ('lying', 3)), ('or', ('lying', 2), ('telling-truth', 2)))", "index": 312}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Jack, Oliver, and Riley. Emma was heard saying, \"Riley is a knight if and only if Emma is a knight\". In Jack's words: \"Riley is a knave or Emma is a knave\". \"Jack is a knave and Emma is a knight\" - Oliver. Riley commented, \"Oliver is a knave if and only if Riley is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Jack", "Oliver", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Emma is a knave, Jack is a knight, Oliver is a knave, and Riley is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) Jack is a knight\n(3) Oliver is a knave\n(4) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Riley is a knight if and only if Emma is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Riley is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Riley that Oliver is a knave if and only if Riley is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Jack is a knave and Emma is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Riley is a knave or Emma is a knave.", "Jack cannot be a knave, because this would contradict the false claim of Oliver that Jack is a knave and Emma is a knight.", "We have exhausted all possibilities for Jack and Oliver, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of Emma that Riley is a knight if and only if Emma is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Emma is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Riley is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Jack is a knave and Emma is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Jack is a knave and Emma is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Riley is a knave or Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 3), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 2), ('telling-truth', 3)))", "index": 313}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, William, Isabella, and Aria. Joseph said, \"Aria is not a knave.\" In William's words: \"Aria is not a knight\". Isabella stated, \"William is a knight if and only if Joseph is a knave\". \"Isabella is not a knave,\" Aria declared. So who is a knight and who is a knave?", "names": ["Joseph", "William", "Isabella", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Joseph is a knight, William is a knave, Isabella is a knight, and Aria is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) William is a knave\n(3) Isabella is a knight\n(4) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Aria is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that William is a knight if and only if Joseph is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Aria is not a knight.", "Assume William is a knave. No contradiction is found in their false claim that Aria is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('not', ('lying', 2)))", "index": 314}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Aiden, Charlotte, and Scarlett. William said that Aiden is a knight. Aiden said that Charlotte is a knave or William is a knight. According to Charlotte, \"If Scarlett is a knave then William is a knave\". \"Scarlett is a knight if and only if Charlotte is a knave,\" Scarlett mentioned. So who is a knight and who is a knave?", "names": ["William", "Aiden", "Charlotte", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "William is a knight, Aiden is a knight, Charlotte is a knave, and Scarlett is a knave.", "solution_text_format": "(1) William is a knight\n(2) Aiden is a knight\n(3) Charlotte is a knave\n(4) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Charlotte is a knave or William is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Scarlett is a knave then William is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight if and only if Charlotte is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Charlotte that If Scarlett is a knave then William is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Scarlett is a knave then William is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Charlotte that If Scarlett is a knave then William is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('lying', 2), ('telling-truth', 0)), ('->', ('lying', 3), ('lying', 0)), ('<=>', ('telling-truth', 3), ('lying', 2)))", "index": 315}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Liam, Matthew, and Victoria. In a statement by David: \"Liam is a knave if and only if David is a knight\". In Liam's words: \"Victoria is a knight or David is a knave\". Matthew expressed that Liam is a knave. \"David is a knight if and only if Matthew is a knave,\" Victoria declared. So who is a knight and who is a knave?", "names": ["David", "Liam", "Matthew", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "David is a knight, Liam is a knave, Matthew is a knight, and Victoria is a knave.", "solution_text_format": "(1) David is a knight\n(2) Liam is a knave\n(3) Matthew is a knight\n(4) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Liam is a knave if and only if David is a knight.", "Liam cannot be a knight, because this would contradict the claim of David that Liam is a knave if and only if David is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Victoria is a knight or David is a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Liam that Victoria is a knight or David is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that David is a knight if and only if Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('lying', 0)), ('lying', 1), ('<=>', ('telling-truth', 0), ('lying', 2)))", "index": 316}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Aurora, David, and Mia. \"Jacob is a knight if and only if David is a knave,\" Jacob mentioned. \"If David is a knave then Jacob is a knave\" - Aurora. David said that Mia is a knave. Mia asserted: \"Jacob is a knight and Mia is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Aurora", "David", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Jacob is a knight, Aurora is a knave, David is a knave, and Mia is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Aurora is a knave\n(3) David is a knave\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight if and only if David is a knave.", "David cannot be a knight, because this would contradict the claim of Jacob that Jacob is a knight if and only if David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Jacob is a knight and Mia is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that If David is a knave then Jacob is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that If David is a knave then Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 2)), ('->', ('lying', 2), ('lying', 0)), ('lying', 3), ('and', ('telling-truth', 0), ('telling-truth', 3)))", "index": 317}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Sofia, Ava, and Riley. \"Ava is a knave,\" Matthew claimed. In a statement by Sofia: \"Matthew is a knave if and only if Ava is a knave\". Ava asserted: \"Riley is a knave and Ava is a knight\". Riley said, \"Sofia is not a knight.\" So who is a knight and who is a knave?", "names": ["Matthew", "Sofia", "Ava", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Matthew is a knight, Sofia is a knave, Ava is a knave, and Riley is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Sofia is a knave\n(3) Ava is a knave\n(4) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Matthew that Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Riley is a knave and Ava is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Sofia is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Matthew is a knave if and only if Ava is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('lying', 0), ('lying', 2)), ('and', ('lying', 3), ('telling-truth', 2)), ('not', ('telling-truth', 1)))", "index": 318}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Ethan, Owen, and Jackson. Emma said, \"Emma is a knight if and only if Ethan is a knave.\" Ethan said, \"Emma is a knight and Owen is a knave.\" In Owen's words: \"Emma is a knight and Jackson is a knave\". \"Emma is a knight,\" Jackson mentioned. So who is a knight and who is a knave?", "names": ["Emma", "Ethan", "Owen", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Emma is a knave, Ethan is a knave, Owen is a knave, and Jackson is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Ethan is a knave\n(3) Owen is a knave\n(4) Jackson is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Emma is a knight if and only if Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Emma that Emma is a knight if and only if Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Emma is a knight and Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Emma is a knight and Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Owen that Emma is a knight and Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Emma is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the false claim of Ethan that Emma is a knight and Owen is a knave.", "We have exhausted all possibilities for Owen and Ethan, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the false claim of Emma that Emma is a knight if and only if Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Emma is a knight and Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Jackson is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Emma is a knight and Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Emma is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 3)), ('telling-truth', 0))", "index": 319}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Amelia, Jack, and Jackson. As David put it, \"Jack is a knave and Jackson is a knave\". In a statement by Amelia: \"David is not a knight\". Jack noted, \"If Amelia is a knave then David is a knight\". Jackson said, \"If David is a knight then Jack is a knight.\" So who is a knight and who is a knave?", "names": ["David", "Amelia", "Jack", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "David is a knave, Amelia is a knight, Jack is a knight, and Jackson is a knight.", "solution_text_format": "(1) David is a knave\n(2) Amelia is a knight\n(3) Jack is a knight\n(4) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Jack is a knave and Jackson is a knave.", "Jack cannot be a knight, because this would contradict the claim of David that Jack is a knave and Jackson is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that If Amelia is a knave then David is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Jack is a knave and Jackson is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Amelia is a knave then David is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that David is not a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If David is a knight then Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 3)), ('not', ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "index": 320}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Jacob, Aurora, and Sebastian. Aiden stated, \"Jacob is a knight or Sebastian is a knight\". Jacob remarked, \"Jacob is a knight and Aiden is a knave\". Aurora expressed that If Sebastian is a knight then Jacob is a knave. In a statement by Sebastian: \"Jacob is a knight and Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Jacob", "Aurora", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Aiden is a knave, Jacob is a knave, Aurora is a knight, and Sebastian is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Jacob is a knave\n(3) Aurora is a knight\n(4) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Jacob is a knight or Sebastian is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Aiden is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight and Aiden is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Aiden is a knight.", "Sebastian cannot be a knave, because this would contradict the claim of Aiden that Jacob is a knight or Sebastian is a knight.", "We have exhausted all possibilities for Sebastian and Jacob, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jacob is a knight or Sebastian is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Aiden that Jacob is a knight or Sebastian is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight and Aiden is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Aiden that Jacob is a knight or Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jacob is a knight and Aiden is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Sebastian is a knight then Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('lying', 0)), ('->', ('telling-truth', 3), ('lying', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 321}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Victoria, Grace, and Mia. Logan expressed that Mia is a knight or Mia is a knave. Victoria said, \"Logan is a knight.\" In a statement by Grace: \"Logan is a knight or Grace is a knight\". Mia told you that Grace is a knave if and only if Victoria is a knight. So who is a knight and who is a knave?", "names": ["Logan", "Victoria", "Grace", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Logan is a knight, Victoria is a knight, Grace is a knight, and Mia is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Victoria is a knight\n(3) Grace is a knight\n(4) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Mia is a knight or Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Grace is a knave if and only if Victoria is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Logan is a knight or Grace is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Mia that Grace is a knave if and only if Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Logan is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the false claim of their own that Logan is a knight or Grace is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Victoria is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Logan is a knight or Grace is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 3)), ('telling-truth', 0), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('lying', 2), ('telling-truth', 1)))", "index": 322}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Alexander, Isabella, and Joseph. David asserted: \"Alexander is a knight if and only if Isabella is a knave\". Alexander asserted: \"If Joseph is a knight then David is a knight\". Isabella remarked, \"Joseph is not a knave\". Joseph remarked, \"Alexander is not a knight\". So who is a knight and who is a knave?", "names": ["David", "Alexander", "Isabella", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "David is a knight, Alexander is a knight, Isabella is a knave, and Joseph is a knave.", "solution_text_format": "(1) David is a knight\n(2) Alexander is a knight\n(3) Isabella is a knave\n(4) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Isabella is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Joseph is a knight then David is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Alexander is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Isabella cannot be a knight, because this would contradict the claim of David that Alexander is a knight if and only if Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Joseph is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('not', ('lying', 3)), ('not', ('telling-truth', 1)))", "index": 323}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Benjamin, Oliver, and Ava. Michael was heard saying, \"Oliver is a knight or Benjamin is a knight\". Benjamin commented, \"Michael is not a knight\". In a statement by Oliver: \"Michael is a knight\". Ava remarked, \"Oliver is not a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Benjamin", "Oliver", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Michael is a knight, Benjamin is a knave, Oliver is a knight, and Ava is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Benjamin is a knave\n(3) Oliver is a knight\n(4) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Oliver is a knight or Benjamin is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Michael is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Oliver is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('telling-truth', 0), ('not', ('lying', 2)))", "index": 324}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Lucas, Penelope, and Amelia. According to Jack, \"Amelia is a knave and Amelia is a knight\". \"Lucas is a knight or Amelia is a knight,\" Lucas mentioned. Penelope commented, \"Lucas is a knight\". According to Amelia, \"Penelope is a knave or Penelope is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Lucas", "Penelope", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Jack is a knave, Lucas is a knight, Penelope is a knight, and Amelia is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Lucas is a knight\n(3) Penelope is a knight\n(4) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Jack cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Amelia is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Amelia is a knave and Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Penelope is a knave or Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Lucas is a knight or Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('telling-truth', 1), ('or', ('lying', 2), ('telling-truth', 2)))", "index": 325}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Sebastian, Elizabeth, and Riley. Evelyn expressed that Sebastian is a knight. \"Evelyn is a knight if and only if Elizabeth is a knave,\" Sebastian declared. Elizabeth expressed that Elizabeth is a knight if and only if Riley is a knight. According to Riley, \"Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Sebastian", "Elizabeth", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Evelyn is a knight, Sebastian is a knight, Elizabeth is a knave, and Riley is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Sebastian is a knight\n(3) Elizabeth is a knave\n(4) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Sebastian that Evelyn is a knight if and only if Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('telling-truth', 0), ('lying', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('telling-truth', 0))", "index": 326}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Mia, James, and Owen. \"If Mia is a knave then Daniel is a knight,\" Daniel declared. Mia said that Owen is a knight and Daniel is a knave. James said, \"Owen is a knave.\" \"If Mia is a knight then Daniel is a knight,\" Owen declared. So who is a knight and who is a knave?", "names": ["Daniel", "Mia", "James", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Daniel is a knight, Mia is a knave, James is a knave, and Owen is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Mia is a knave\n(3) James is a knave\n(4) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that If Mia is a knave then Daniel is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Owen is a knight and Daniel is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Owen is a knight and Daniel is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Mia is a knight then Daniel is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('and', ('telling-truth', 3), ('lying', 0)), ('lying', 3), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 327}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jackson, Alexander, Noah, and Ava. \"If Noah is a knave then Noah is a knight\" - Jackson. As Alexander put it, \"Jackson is a knight if and only if Noah is a knight\". \"Ava is a knight and Ava is a knave,\" Noah claimed. Ava said, \"Alexander is not a knight.\" So who is a knight and who is a knave?", "names": ["Jackson", "Alexander", "Noah", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Jackson is a knave, Alexander is a knight, Noah is a knave, and Ava is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Alexander is a knight\n(3) Noah is a knave\n(4) Ava is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that If Noah is a knave then Noah is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Ava is a knight and Ava is a knave.", "Noah cannot be a knave, because this would contradict the claim of Jackson that If Noah is a knave then Noah is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Noah is a knave then Noah is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Jackson that If Noah is a knave then Noah is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Ava is a knight and Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Ava that Alexander is not a knight.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight if and only if Noah is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('lying', 3)), ('not', ('telling-truth', 1)))", "index": 328}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Oliver, Aria, and Sofia. According to Henry, \"Aria is a knave if and only if Henry is a knight\". Oliver was heard saying, \"Aria is a knave or Sofia is a knight\". Aria said that Sofia is a knight if and only if Oliver is a knave. Sofia told you that Oliver is a knave or Henry is a knave. So who is a knight and who is a knave?", "names": ["Henry", "Oliver", "Aria", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Henry is a knave, Oliver is a knight, Aria is a knave, and Sofia is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Oliver is a knight\n(3) Aria is a knave\n(4) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Aria is a knave if and only if Henry is a knight.", "Aria cannot be a knight, because this would contradict the claim of Henry that Aria is a knave if and only if Henry is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Oliver is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Oliver is a knave or Henry is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Sofia that Oliver is a knave or Henry is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Aria is a knave or Sofia is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Oliver is a knave or Henry is a knave.", "Oliver cannot be a knight, because this would contradict the false claim of Aria that Sofia is a knight if and only if Oliver is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Aria is a knave or Sofia is a knight.", "We have exhausted all possibilities for Oliver, Sofia, and Aria, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Henry is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Henry that Aria is a knave if and only if Henry is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Oliver is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Oliver is a knave or Henry is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Aria is a knave or Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 0)), ('or', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('or', ('lying', 1), ('lying', 0)))", "index": 329}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Mason, Charlotte, and Aria. Isabella asserted: \"Mason is a knave and Charlotte is a knave\". Mason was heard saying, \"If Aria is a knight then Charlotte is a knight\". \"If Mason is a knight then Mason is a knave,\" Charlotte mentioned. In Aria's words: \"Isabella is a knave if and only if Mason is a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Mason", "Charlotte", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Isabella is a knave, Mason is a knight, Charlotte is a knave, and Aria is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) Mason is a knight\n(3) Charlotte is a knave\n(4) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Mason is a knave and Charlotte is a knave.", "Mason cannot be a knight, because this would contradict the claim of Isabella that Mason is a knave and Charlotte is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that If Aria is a knight then Charlotte is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Isabella is a knave if and only if Mason is a knave.", "Aria cannot be a knave, because this would contradict the false claim of Mason that If Aria is a knight then Charlotte is a knight.", "We have exhausted all possibilities for Aria and Mason, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Mason is a knave and Charlotte is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Aria is a knight then Charlotte is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Isabella is a knave if and only if Mason is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Mason is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that If Mason is a knight then Mason is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Mason is a knight then Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('lying', 0), ('lying', 1)))", "index": 330}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Owen, Penelope, and Emily. As William put it, \"Emily is a knave\". As Owen put it, \"Emily is a knight or William is a knave\". Penelope asserted: \"Emily is not a knight\". According to Emily, \"Emily is a knight if and only if William is a knight\". So who is a knight and who is a knave?", "names": ["William", "Owen", "Penelope", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "William is a knight, Owen is a knave, Penelope is a knight, and Emily is a knave.", "solution_text_format": "(1) William is a knight\n(2) Owen is a knave\n(3) Penelope is a knight\n(4) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of William that Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Emily is a knight if and only if William is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Emily is a knight or William is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Emily is a knight or William is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Emily is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('or', ('telling-truth', 3), ('lying', 0)), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)))", "index": 331}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Victoria, Daniel, and Isabella. \"If Daniel is a knight then Isabella is a knight\" - Sofia. Victoria said, \"Sofia is a knight.\" Daniel noted, \"Victoria is a knight and Daniel is a knight\". Isabella was heard saying, \"Victoria is a knave if and only if Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Victoria", "Daniel", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Sofia is a knight, Victoria is a knight, Daniel is a knave, and Isabella is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Victoria is a knight\n(3) Daniel is a knave\n(4) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that If Daniel is a knight then Isabella is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Victoria is a knight and Daniel is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Sofia is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Victoria is a knave if and only if Daniel is a knight.", "Isabella cannot be a knave, because this would contradict the claim of Sofia that If Daniel is a knight then Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Victoria is a knight and Daniel is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Sofia is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 3)), ('telling-truth', 0), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('lying', 1), ('telling-truth', 2)))", "index": 332}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Elizabeth, Daniel, and Grace. Sophia stated, \"If Sophia is a knight then Grace is a knight\". \"Daniel is a knave and Sophia is a knave,\" Elizabeth mentioned. \"If Sophia is a knave then Elizabeth is a knight\" - Daniel. \"Daniel is a knave or Sophia is a knight,\" Grace claimed. So who is a knight and who is a knave?", "names": ["Sophia", "Elizabeth", "Daniel", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Sophia is a knight, Elizabeth is a knave, Daniel is a knight, and Grace is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Elizabeth is a knave\n(3) Daniel is a knight\n(4) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that If Sophia is a knight then Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Daniel is a knave or Sophia is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Sophia is a knave then Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Daniel is a knave and Sophia is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Daniel is a knave and Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 3)), ('and', ('lying', 2), ('lying', 0)), ('->', ('lying', 0), ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 0)))", "index": 333}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Daniel, Harper, and Penelope. Charlotte asserted: \"Daniel is a knave or Harper is a knave\". Daniel commented, \"Penelope is not a knight\". Harper stated, \"Charlotte is not a knave\". Penelope asserted: \"Daniel is a knave or Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Daniel", "Harper", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Charlotte is a knight, Daniel is a knave, Harper is a knight, and Penelope is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Daniel is a knave\n(3) Harper is a knight\n(4) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Daniel is a knave or Harper is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Penelope is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of Daniel that Penelope is not a knight.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Daniel is a knave or Charlotte is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Penelope is not a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Daniel is a knave or Charlotte is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Charlotte is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('not', ('telling-truth', 3)), ('not', ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 0)))", "index": 334}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Sebastian, Charlotte, and Mia. Riley stated, \"If Mia is a knave then Mia is a knight\". Sebastian told you that If Sebastian is a knight then Mia is a knight. \"Riley is not a knight,\" Charlotte declared. In Mia's words: \"Sebastian is a knave or Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Sebastian", "Charlotte", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Riley is a knight, Sebastian is a knight, Charlotte is a knave, and Mia is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Sebastian is a knight\n(3) Charlotte is a knave\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that If Mia is a knave then Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Sebastian is a knave or Charlotte is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Sebastian is a knight then Mia is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Riley is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Riley is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('telling-truth', 0)), ('or', ('lying', 1), ('lying', 2)))", "index": 335}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Owen, Henry, and Isabella. Noah stated, \"Owen is a knight or Isabella is a knight\". Owen noted, \"Henry is not a knave\". As Henry put it, \"Noah is a knave\". Isabella noted, \"Noah is a knight or Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Noah", "Owen", "Henry", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Noah is a knight, Owen is a knave, Henry is a knave, and Isabella is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Owen is a knave\n(3) Henry is a knave\n(4) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Owen is a knight or Isabella is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Henry is not a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Noah is a knave.", "Henry cannot be a knave, because this would contradict the claim of Owen that Henry is not a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Henry is not a knave.", "Henry cannot be a knight, because this would contradict the false claim of Owen that Henry is not a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Noah is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Noah is a knight or Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('lying', 2)), ('lying', 0), ('or', ('telling-truth', 0), ('telling-truth', 3)))", "index": 336}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Evelyn, Luke, and Emma. In Emily's words: \"Emma is not a knave\". \"Emma is not a knave\" - Evelyn. \"If Emma is a knight then Emily is a knave,\" Luke declared. \"Luke is a knight and Emma is a knight,\" Emma mentioned. So who is a knight and who is a knave?", "names": ["Emily", "Evelyn", "Luke", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Emily is a knave, Evelyn is a knave, Luke is a knight, and Emma is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Evelyn is a knave\n(3) Luke is a knight\n(4) Emma is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Emma is not a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Luke is a knight and Emma is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that If Emma is a knight then Emily is a knave.", "Luke cannot be a knave, because this would contradict the claim of Emma that Luke is a knight and Emma is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the claim of Emily that Emma is not a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Emma is not a knave.", "Emma cannot be a knight, because this would contradict the false claim of Emily that Emma is not a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Luke is a knight and Emma is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Emma is a knight then Emily is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Emma is not a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Emma is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('not', ('lying', 3)), ('->', ('telling-truth', 3), ('lying', 0)), ('and', ('telling-truth', 2), ('telling-truth', 3)))", "index": 337}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Lucas, Aiden, and Sebastian. Mia commented, \"Aiden is a knight\". As Lucas put it, \"Mia is a knight\". Aiden expressed that Lucas is a knight and Mia is a knave. According to Sebastian, \"Lucas is not a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Lucas", "Aiden", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Mia is a knave, Lucas is a knave, Aiden is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Lucas is a knave\n(3) Aiden is a knave\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Lucas is a knight and Mia is a knave.", "Aiden cannot be a knave, because this would contradict the claim of Mia that Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Mia that Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Lucas is a knight and Mia is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Mia is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Mia is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Lucas is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('telling-truth', 0), ('and', ('telling-truth', 1), ('lying', 0)), ('not', ('telling-truth', 1)))", "index": 338}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, James, Samuel, and Sofia. Matthew expressed that James is a knight if and only if James is a knave. \"Samuel is a knight,\" James claimed. Samuel said that Sofia is not a knight. \"Samuel is a knight if and only if Sofia is a knight,\" Sofia declared. So who is a knight and who is a knave?", "names": ["Matthew", "James", "Samuel", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Matthew is a knave, James is a knight, Samuel is a knight, and Sofia is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) James is a knight\n(3) Samuel is a knight\n(4) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Matthew cannot be a knight, because this would contradict the claim of their own that James is a knight if and only if James is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that James is a knight if and only if James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Sofia is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of Samuel that Sofia is not a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('telling-truth', 2), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)))", "index": 339}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Elizabeth, Isabella, and Harper. \"Elizabeth is not a knight\" - Mason. Elizabeth remarked, \"Isabella is a knave\". Isabella was heard saying, \"If Harper is a knight then Isabella is a knight\". Harper commented, \"Mason is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Elizabeth", "Isabella", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Mason is a knight, Elizabeth is a knave, Isabella is a knight, and Harper is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Elizabeth is a knave\n(3) Isabella is a knight\n(4) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Mason that Elizabeth is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Harper is a knight then Isabella is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('lying', 2), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('telling-truth', 0))", "index": 340}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Emma, Mia, and Mason. \"If Alexander is a knight then Emma is a knight,\" Alexander declared. As Emma put it, \"Mason is a knight and Mia is a knight\". According to Mia, \"Mason is a knight or Alexander is a knight\". Mason asserted: \"Alexander is a knave or Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Emma", "Mia", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Alexander is a knight, Emma is a knight, Mia is a knight, and Mason is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Emma is a knight\n(3) Mia is a knight\n(4) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that If Alexander is a knight then Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Mason is a knight and Mia is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Alexander is a knave or Alexander is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Mason is a knight or Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 341}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Scarlett, Samuel, and David. \"Samuel is a knave,\" Daniel claimed. Scarlett commented, \"David is not a knave\". \"Scarlett is not a knave,\" Samuel claimed. \"David is a knight or Daniel is a knight,\" David claimed. So who is a knight and who is a knave?", "names": ["Daniel", "Scarlett", "Samuel", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Daniel is a knave, Scarlett is a knight, Samuel is a knight, and David is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Scarlett is a knight\n(3) Samuel is a knight\n(4) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Daniel that Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Scarlett is not a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Samuel that Scarlett is not a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that David is not a knave.", "David cannot be a knight, because this would contradict the false claim of Scarlett that David is not a knave.", "David cannot be a knave, because this would contradict the false claim of their own that David is a knight or Daniel is a knight.", "We have exhausted all possibilities for David, Scarlett, and Samuel, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that David is not a knave.", "Assume David is a knight. No contradiction is found in their claim that David is a knight or Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('not', ('lying', 3)), ('not', ('lying', 1)), ('or', ('telling-truth', 3), ('telling-truth', 0)))", "index": 342}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Noah, Evelyn, and Jackson. \"Jackson is a knave if and only if Noah is a knave,\" James declared. According to Noah, \"James is a knave or Evelyn is a knave\". \"Jackson is not a knave,\" Evelyn declared. \"Jackson is a knight and Noah is a knave,\" Jackson claimed. So who is a knight and who is a knave?", "names": ["James", "Noah", "Evelyn", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "James is a knave, Noah is a knight, Evelyn is a knave, and Jackson is a knave.", "solution_text_format": "(1) James is a knave\n(2) Noah is a knight\n(3) Evelyn is a knave\n(4) Jackson is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Noah is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Jackson is a knight and Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Jackson that Jackson is a knight and Noah is a knave.", "Noah cannot be a knave, because this would contradict the claim of James that Jackson is a knave if and only if Noah is a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jackson is a knight and Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of James that Jackson is a knave if and only if Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that James is a knave or Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Jackson is not a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of Noah that James is a knave or Evelyn is a knave.", "We have exhausted all possibilities for Evelyn, Noah, and Jackson, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Noah is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Jackson is a knight and Noah is a knave.", "Noah cannot be a knight, because this would contradict the false claim of James that Jackson is a knave if and only if Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that James is a knave or Evelyn is a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jackson is a knight and Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that James is a knave or Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Jackson is not a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Jackson is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 1)), ('or', ('lying', 0), ('lying', 2)), ('not', ('lying', 3)), ('and', ('telling-truth', 3), ('lying', 1)))", "index": 343}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Luke, Benjamin, and Matthew. Sophia noted, \"If Luke is a knight then Matthew is a knave\". \"Sophia is a knave and Benjamin is a knight\" - Luke. Benjamin remarked, \"Luke is a knight and Sophia is a knave\". Matthew remarked, \"Luke is a knave if and only if Luke is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Luke", "Benjamin", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Sophia is a knight, Luke is a knave, Benjamin is a knave, and Matthew is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) Luke is a knave\n(3) Benjamin is a knave\n(4) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that If Luke is a knight then Matthew is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Benjamin is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Sophia is a knave and Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Luke is a knight and Sophia is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Luke is a knight and Sophia is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Luke is a knave if and only if Luke is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "index": 344}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Evelyn, Charlotte, and Sophia. \"Amelia is a knight or Sophia is a knave,\" Amelia mentioned. In Evelyn's words: \"Sophia is a knave and Charlotte is a knave\". Charlotte noted, \"Amelia is a knight\". \"Amelia is a knight,\" Sophia claimed. So who is a knight and who is a knave?", "names": ["Amelia", "Evelyn", "Charlotte", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Amelia is a knight, Evelyn is a knave, Charlotte is a knight, and Sophia is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Evelyn is a knave\n(3) Charlotte is a knight\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight or Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Amelia is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Charlotte is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Sophia is a knave and Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 3)), ('and', ('lying', 3), ('lying', 2)), ('telling-truth', 0), ('telling-truth', 0))", "index": 345}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, David, Mason, and Jack. In a statement by Jacob: \"Jack is a knight if and only if David is a knight\". David told you that Mason is a knave and Jack is a knight. Mason expressed that David is a knight if and only if Mason is a knight. \"David is a knight,\" Jack declared. So who is a knight and who is a knave?", "names": ["Jacob", "David", "Mason", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Jacob is a knight, David is a knight, Mason is a knave, and Jack is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) David is a knight\n(3) Mason is a knave\n(4) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Jack is a knight if and only if David is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Mason is a knave and Jack is a knight.", "Mason cannot be a knight, because this would contradict the claim of David that Mason is a knave and Jack is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that David is a knight if and only if Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 1))", "index": 346}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Liam, Michael, and Amelia. \"If Oliver is a knight then Amelia is a knight,\" Oliver declared. Liam noted, \"Amelia is a knight\". Michael told you that Liam is a knave. Amelia commented, \"Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Liam", "Michael", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Oliver is a knight, Liam is a knight, Michael is a knave, and Amelia is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Liam is a knight\n(3) Michael is a knave\n(4) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that If Oliver is a knight then Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Amelia is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Liam is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 3)), ('telling-truth', 3), ('lying', 1), ('telling-truth', 3))", "index": 347}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Mia, Michael, and Jackson. Victoria noted, \"Michael is a knight if and only if Jackson is a knave\". \"If Jackson is a knave then Mia is a knight\" - Mia. Michael asserted: \"Jackson is a knave if and only if Mia is a knave\". Jackson remarked, \"Mia is a knight or Michael is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Mia", "Michael", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Victoria is a knave, Mia is a knight, Michael is a knight, and Jackson is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Mia is a knight\n(3) Michael is a knight\n(4) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Michael is a knight if and only if Jackson is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Mia is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Victoria that Michael is a knight if and only if Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Mia is a knight or Michael is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Mia is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Mia is a knight or Michael is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Michael that Jackson is a knave if and only if Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knave then Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Victoria that Michael is a knight if and only if Jackson is a knave.", "We have exhausted all possibilities for Jackson and Michael, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Jackson is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Mia is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Mia is a knight or Michael is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Jackson is a knave then Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 3)), ('->', ('lying', 3), ('telling-truth', 1)), ('<=>', ('lying', 3), ('lying', 1)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "index": 348}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Mia, Sofia, and Mason. Chloe commented, \"Mia is a knave\". Mia stated, \"Mason is a knave or Chloe is a knight\". In Sofia's words: \"Mason is a knight and Sofia is a knight\". According to Mason, \"Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Mia", "Sofia", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Chloe is a knave, Mia is a knight, Sofia is a knave, and Mason is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Mia is a knight\n(3) Sofia is a knave\n(4) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Chloe that Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that Mason is a knave or Chloe is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Mason is a knave or Chloe is a knight.", "Mason cannot be a knight, because this would contradict the claim of Mia that Mason is a knave or Chloe is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Chloe is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Mason is a knight and Sofia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Mason is a knight and Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('or', ('lying', 3), ('telling-truth', 0)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('telling-truth', 0))", "index": 349}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Daniel, Owen, and Benjamin. \"Benjamin is a knave if and only if Owen is a knave,\" Riley mentioned. Daniel noted, \"Benjamin is a knave or Owen is a knight\". Owen was heard saying, \"Daniel is not a knave\". Benjamin was heard saying, \"Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Daniel", "Owen", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Riley is a knight, Daniel is a knight, Owen is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Daniel is a knight\n(3) Owen is a knight\n(4) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Owen is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Benjamin is a knave or Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Daniel is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 2)), ('or', ('lying', 3), ('telling-truth', 2)), ('not', ('lying', 1)), ('telling-truth', 1))", "index": 350}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Abigail, Henry, and James. In Scarlett's words: \"Henry is a knight if and only if Scarlett is a knight\". \"James is a knave if and only if James is a knight,\" Abigail mentioned. \"Henry is a knight and Scarlett is a knave,\" Henry declared. James asserted: \"Abigail is a knight or Henry is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Abigail", "Henry", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Scarlett is a knave, Abigail is a knave, Henry is a knight, and James is a knight.", "solution_text_format": "(1) Scarlett is a knave\n(2) Abigail is a knave\n(3) Henry is a knight\n(4) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Henry is a knight if and only if Scarlett is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Scarlett is a knave.", "Henry cannot be a knave, because this would contradict the claim of Scarlett that Henry is a knight if and only if Scarlett is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Scarlett is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Henry is a knight and Scarlett is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that James is a knave if and only if James is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that James is a knave if and only if James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Abigail is a knight or Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('lying', 3), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "index": 351}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Ethan, Logan, and Noah. \"If David is a knight then Ethan is a knight,\" David mentioned. Ethan noted, \"Logan is a knave\". Logan expressed that Ethan is a knight and Ethan is a knave. Noah said, \"Ethan is a knave and Ethan is a knight.\" So who is a knight and who is a knave?", "names": ["David", "Ethan", "Logan", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "David is a knight, Ethan is a knight, Logan is a knave, and Noah is a knave.", "solution_text_format": "(1) David is a knight\n(2) Ethan is a knight\n(3) Logan is a knave\n(4) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that If David is a knight then Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Ethan that Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Ethan is a knight and Ethan is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Ethan is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Ethan is a knave and Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 2), ('and', ('telling-truth', 1), ('lying', 1)), ('and', ('lying', 1), ('telling-truth', 1)))", "index": 352}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Chloe, Logan, and Oliver. \"Chloe is a knight,\" Zoey claimed. \"Oliver is a knave if and only if Oliver is a knight,\" Chloe declared. \"Zoey is a knave,\" Logan mentioned. Oliver stated, \"Logan is a knave or Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Chloe", "Logan", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Zoey is a knave, Chloe is a knave, Logan is a knight, and Oliver is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Chloe is a knave\n(3) Logan is a knight\n(4) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Oliver is a knave if and only if Oliver is a knight.", "Chloe cannot be a knave, because this would contradict the claim of Zoey that Chloe is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Zoey that Chloe is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Logan is a knave or Chloe is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('lying', 3), ('telling-truth', 3)), ('lying', 0), ('or', ('lying', 2), ('lying', 1)))", "index": 353}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Oliver, Lily, and Joseph. \"Daniel is a knight or Lily is a knave,\" Daniel claimed. According to Oliver, \"Joseph is a knave\". As Lily put it, \"If Oliver is a knave then Joseph is a knave\". Joseph commented, \"Joseph is a knight if and only if Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "Oliver", "Lily", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Daniel is a knave, Oliver is a knight, Lily is a knight, and Joseph is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Oliver is a knight\n(3) Lily is a knight\n(4) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Daniel is a knight or Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Oliver is a knave then Joseph is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Oliver that Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Joseph is a knight if and only if Daniel is a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Lily that If Oliver is a knave then Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of Oliver that Joseph is a knave.", "We have exhausted all possibilities for Joseph and Oliver, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that If Oliver is a knave then Joseph is a knave.", "Oliver cannot be a knight, because this would contradict the false claim of Lily that If Oliver is a knave then Joseph is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Joseph is a knight if and only if Daniel is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of Oliver that Joseph is a knave.", "We have exhausted all possibilities for Joseph, Oliver, and Lily, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight or Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Oliver is a knave then Joseph is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Oliver that Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 2)), ('lying', 3), ('->', ('lying', 1), ('lying', 3)), ('<=>', ('telling-truth', 3), ('lying', 0)))", "index": 354}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Aiden, Charlotte, and Victoria. Daniel said, \"Victoria is a knave and Victoria is a knight.\" Aiden noted, \"Daniel is a knave and Charlotte is a knight\". As Charlotte put it, \"If Daniel is a knave then Daniel is a knight\". Victoria said that Aiden is a knave or Daniel is a knight. So who is a knight and who is a knave?", "names": ["Daniel", "Aiden", "Charlotte", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Daniel is a knave, Aiden is a knave, Charlotte is a knave, and Victoria is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) Aiden is a knave\n(3) Charlotte is a knave\n(4) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Daniel cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Victoria is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Victoria is a knave and Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Aiden is a knave or Daniel is a knight.", "Aiden cannot be a knight, because this would contradict the claim of Victoria that Aiden is a knave or Daniel is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Daniel is a knave and Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Aiden that Daniel is a knave and Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Daniel is a knave then Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 3)), ('and', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 0)), ('or', ('lying', 1), ('telling-truth', 0)))", "index": 355}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Michael, Sophia, and Ella. \"Michael is a knight or Sophia is a knight\" - Evelyn. \"Sophia is a knave or Ella is a knave\" - Michael. According to Sophia, \"Evelyn is not a knave\". \"Evelyn is a knight and Sophia is a knight\" - Ella. So who is a knight and who is a knave?", "names": ["Evelyn", "Michael", "Sophia", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Evelyn is a knight, Michael is a knave, Sophia is a knight, and Ella is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Michael is a knave\n(3) Sophia is a knight\n(4) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Michael is a knight or Sophia is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Sophia is a knave or Ella is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Ella cannot be a knight, because this would contradict the claim of Michael that Sophia is a knave or Ella is a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight and Sophia is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Evelyn is not a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Sophia is a knave or Ella is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Evelyn is a knight and Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 2), ('lying', 3)), ('not', ('lying', 0)), ('and', ('telling-truth', 0), ('telling-truth', 2)))", "index": 356}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Isabella, Riley, and David. Matthew stated, \"Isabella is not a knave\". Isabella was heard saying, \"Riley is a knight\". Riley told you that Isabella is not a knave. David commented, \"If David is a knight then Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Isabella", "Riley", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Matthew is a knave, Isabella is a knave, Riley is a knave, and David is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Isabella is a knave\n(3) Riley is a knave\n(4) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Isabella is not a knave.", "David cannot be a knight, because this would contradict the claim of their own that If David is a knight then Matthew is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that If David is a knight then Matthew is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of Isabella that Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Matthew that Isabella is not a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Isabella is not a knave.", "Isabella cannot be a knight, because this would contradict the false claim of Matthew that Isabella is not a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Isabella that Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Isabella is not a knave.", "Assume David is a knight. No contradiction is found in their claim that If David is a knight then Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('telling-truth', 2), ('not', ('lying', 1)), ('->', ('telling-truth', 3), ('lying', 0)))", "index": 357}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Daniel, Liam, and Avery. Oliver expressed that If Liam is a knight then Avery is a knight. Daniel asserted: \"Daniel is a knight and Liam is a knave\". Liam said, \"Daniel is a knight and Avery is a knight.\" Avery commented, \"Liam is not a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Daniel", "Liam", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Oliver is a knight, Daniel is a knave, Liam is a knave, and Avery is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Daniel is a knave\n(3) Liam is a knave\n(4) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that If Liam is a knight then Avery is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Daniel is a knight and Avery is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Liam is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Liam that Daniel is a knight and Avery is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Daniel is a knight and Avery is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Daniel is a knight and Liam is a knave.", "Avery cannot be a knight, because this would contradict the false claim of Liam that Daniel is a knight and Avery is a knight.", "Avery cannot be a knave, because this would contradict the false claim of their own that Liam is not a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight and Liam is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Liam is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('telling-truth', 2)))", "index": 358}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Liam, Owen, and Jacob. Aria expressed that Owen is a knight and Liam is a knight. \"Aria is a knave or Owen is a knave,\" Liam claimed. In Owen's words: \"Jacob is not a knight\". In Jacob's words: \"Liam is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Liam", "Owen", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Aria is a knave, Liam is a knight, Owen is a knave, and Jacob is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Liam is a knight\n(3) Owen is a knave\n(4) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Owen is a knight and Liam is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of Owen that Jacob is not a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Aria is a knave or Owen is a knave.", "Liam cannot be a knave, because this would contradict the claim of Aria that Owen is a knight and Liam is a knight.", "We have exhausted all possibilities for Liam and Jacob, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the claim of Aria that Owen is a knight and Liam is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Owen is a knight and Liam is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of Owen that Jacob is not a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Aria that Owen is a knight and Liam is a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that Aria is a knave or Owen is a knave.", "We have exhausted all possibilities for Liam and Jacob, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Jacob is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Aria is a knave or Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 0), ('lying', 2)), ('not', ('telling-truth', 3)), ('telling-truth', 1))", "index": 359}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Jack, Chloe, and Matthew. Zoey told you that Chloe is a knave or Matthew is a knave. Jack expressed that Jack is a knight and Chloe is a knave. Chloe told you that Matthew is a knave or Jack is a knight. Matthew asserted: \"Jack is not a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Jack", "Chloe", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Zoey is a knight, Jack is a knave, Chloe is a knight, and Matthew is a knave.", "solution_text_format": "(1) Zoey is a knight\n(2) Jack is a knave\n(3) Chloe is a knight\n(4) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Chloe is a knave or Matthew is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Matthew is a knave or Jack is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Zoey that Chloe is a knave or Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Jack is not a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Chloe is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight and Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 2)), ('or', ('lying', 3), ('telling-truth', 1)), ('not', ('lying', 1)))", "index": 360}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Emily, Samuel, and Oliver. Matthew said that Oliver is a knave and Oliver is a knight. \"Samuel is a knight\" - Emily. As Samuel put it, \"Oliver is a knight and Oliver is a knave\". Oliver noted, \"Emily is a knave and Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Emily", "Samuel", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Matthew is a knave, Emily is a knave, Samuel is a knave, and Oliver is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Emily is a knave\n(3) Samuel is a knave\n(4) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Matthew cannot be a knight, because this would contradict the claim of their own that Oliver is a knave and Oliver is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Oliver is a knave and Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Emily is a knave and Matthew is a knave.", "Emily cannot be a knight, because this would contradict the claim of Oliver that Emily is a knave and Matthew is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Emily that Samuel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Oliver is a knight and Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 3)), ('telling-truth', 2), ('and', ('telling-truth', 3), ('lying', 3)), ('and', ('lying', 1), ('lying', 0)))", "index": 361}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, David, Chloe, and Oliver. \"If Oliver is a knave then Mason is a knight,\" Mason mentioned. \"Oliver is not a knight\" - David. \"Mason is a knight and Oliver is a knave,\" Chloe claimed. Oliver said, \"Mason is not a knight.\" So who is a knight and who is a knave?", "names": ["Mason", "David", "Chloe", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Mason is a knight, David is a knight, Chloe is a knight, and Oliver is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) David is a knight\n(3) Chloe is a knight\n(4) Oliver is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that If Oliver is a knave then Mason is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Mason is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Assume David is a knight. No contradiction is found in their claim that Oliver is not a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Mason is a knight and Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 0)), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 0), ('lying', 3)), ('not', ('telling-truth', 0)))", "index": 362}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Lucas, Sofia, and James. In a statement by Elizabeth: \"James is a knight or Elizabeth is a knight\". Lucas told you that James is a knave or Lucas is a knight. As Sofia put it, \"Lucas is a knight or James is a knave\". James said, \"Sofia is a knight or Elizabeth is a knave.\" So who is a knight and who is a knave?", "names": ["Elizabeth", "Lucas", "Sofia", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Elizabeth is a knight, Lucas is a knight, Sofia is a knight, and James is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Lucas is a knight\n(3) Sofia is a knight\n(4) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that James is a knight or Elizabeth is a knight.", "Assume James is a knight. No contradiction is found in their claim that Sofia is a knight or Elizabeth is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Lucas is a knight or James is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that James is a knave or Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 3), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 3)), ('or', ('telling-truth', 2), ('lying', 0)))", "index": 363}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Harper, Joseph, and Luke. Chloe was heard saying, \"Joseph is a knave if and only if Luke is a knave\". Harper remarked, \"Chloe is a knave or Chloe is a knight\". Joseph was heard saying, \"Harper is a knave\". Luke stated, \"Luke is a knight and Harper is a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Harper", "Joseph", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Chloe is a knight, Harper is a knight, Joseph is a knave, and Luke is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Harper is a knight\n(3) Joseph is a knave\n(4) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Luke is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Joseph that Harper is a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that Chloe is a knave or Chloe is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Chloe is a knave or Chloe is a knight.", "Luke cannot be a knight, because this would contradict the claim of Chloe that Joseph is a knave if and only if Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Luke is a knight and Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 0)), ('lying', 1), ('and', ('telling-truth', 3), ('lying', 1)))", "index": 364}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Daniel, Michael, and Lily. \"Lily is a knight if and only if Michael is a knave\" - Lucas. Daniel stated, \"Daniel is a knight and Michael is a knave\". Michael commented, \"Lily is a knave or Daniel is a knight\". Lily told you that If Lily is a knight then Lucas is a knight. So who is a knight and who is a knave?", "names": ["Lucas", "Daniel", "Michael", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Lucas is a knight, Daniel is a knave, Michael is a knave, and Lily is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Daniel is a knave\n(3) Michael is a knave\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Lily is a knight if and only if Michael is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Lily is a knight then Lucas is a knight.", "Michael cannot be a knight, because this would contradict the claim of Lucas that Lily is a knight if and only if Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Lily is a knave or Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Michael that Lily is a knave or Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight and Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('and', ('telling-truth', 1), ('lying', 2)), ('or', ('lying', 3), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 0)))", "index": 365}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Harper, Alexander, and Olivia. According to Penelope, \"Alexander is a knight or Penelope is a knight\". Harper noted, \"Olivia is a knave or Olivia is a knight\". \"Olivia is a knight if and only if Harper is a knave,\" Alexander declared. Olivia said, \"Alexander is a knight or Penelope is a knight.\" So who is a knight and who is a knave?", "names": ["Penelope", "Harper", "Alexander", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Penelope is a knight, Harper is a knight, Alexander is a knave, and Olivia is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Harper is a knight\n(3) Alexander is a knave\n(4) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Alexander is a knight or Penelope is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Harper is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Alexander is a knight or Penelope is a knight.", "Harper cannot be a knight, because this would contradict the claim of Alexander that Olivia is a knight if and only if Harper is a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that Olivia is a knave or Olivia is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight or Penelope is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Harper is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Alexander is a knight or Penelope is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Olivia is a knave or Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('lying', 3), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('or', ('telling-truth', 2), ('telling-truth', 0)))", "index": 366}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Owen, Emma, and James. \"Emma is a knight and James is a knight\" - Benjamin. \"Emma is a knight,\" Owen declared. \"Owen is a knave or James is a knight\" - Emma. James remarked, \"Owen is a knight and James is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Owen", "Emma", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Benjamin is a knight, Owen is a knight, Emma is a knight, and James is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Owen is a knight\n(3) Emma is a knight\n(4) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Emma is a knight and James is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Owen is a knave or James is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Emma is a knight.", "Assume James is a knight. No contradiction is found in their claim that Owen is a knight and James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 3)), ('telling-truth', 2), ('or', ('lying', 1), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('telling-truth', 3)))", "index": 367}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Zoey, Chloe, and Mason. Alexander said, \"Alexander is a knight and Chloe is a knight.\" Zoey told you that Alexander is a knave. Chloe remarked, \"Mason is a knight\". \"If Zoey is a knave then Zoey is a knight,\" Mason declared. So who is a knight and who is a knave?", "names": ["Alexander", "Zoey", "Chloe", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Alexander is a knave, Zoey is a knight, Chloe is a knight, and Mason is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Zoey is a knight\n(3) Chloe is a knight\n(4) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Alexander is a knight and Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Zoey is a knave then Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Alexander is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Mason that If Zoey is a knave then Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the claim of Chloe that Mason is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the claim of Alexander that Alexander is a knight and Chloe is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Alexander is a knight and Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that If Zoey is a knave then Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 0), ('telling-truth', 3), ('->', ('lying', 1), ('telling-truth', 1)))", "index": 368}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Ava, Luke, and Penelope. \"Penelope is not a knight,\" Riley claimed. Ava was heard saying, \"Ava is a knight and Luke is a knight\". \"If Luke is a knight then Riley is a knight\" - Luke. In Penelope's words: \"Ava is a knight if and only if Luke is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Ava", "Luke", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Riley is a knight, Ava is a knave, Luke is a knight, and Penelope is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Ava is a knave\n(3) Luke is a knight\n(4) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Penelope is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of Riley that Penelope is not a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Luke is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight and Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Penelope that Ava is a knight if and only if Luke is a knight.", "Luke cannot be a knave, because this would contradict the claim of Ava that Ava is a knight and Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight and Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Luke is a knight then Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "index": 369}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Owen, Luke, and Ella. In a statement by Penelope: \"Luke is a knave if and only if Penelope is a knight\". \"Penelope is a knave if and only if Luke is a knave,\" Owen mentioned. Luke said, \"If Penelope is a knave then Penelope is a knight.\" \"Owen is not a knight,\" Ella mentioned. So who is a knight and who is a knave?", "names": ["Penelope", "Owen", "Luke", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Penelope is a knave, Owen is a knight, Luke is a knave, and Ella is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Owen is a knight\n(3) Luke is a knave\n(4) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Luke is a knave if and only if Penelope is a knight.", "Luke cannot be a knight, because this would contradict the claim of Penelope that Luke is a knave if and only if Penelope is a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that If Penelope is a knave then Penelope is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Penelope is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Penelope that Luke is a knave if and only if Penelope is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that If Penelope is a knave then Penelope is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Penelope is a knave if and only if Luke is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Owen is not a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Owen is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 0)), ('not', ('telling-truth', 1)))", "index": 370}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Matthew, Avery, and Samuel. Evelyn commented, \"Matthew is a knight if and only if Avery is a knight\". \"If Avery is a knight then Samuel is a knave,\" Matthew mentioned. In Avery's words: \"Samuel is not a knave\". \"Evelyn is a knight and Avery is a knave,\" Samuel claimed. So who is a knight and who is a knave?", "names": ["Evelyn", "Matthew", "Avery", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Evelyn is a knave, Matthew is a knight, Avery is a knave, and Samuel is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Matthew is a knight\n(3) Avery is a knave\n(4) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Avery is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Avery is a knight then Samuel is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Samuel is not a knave.", "Samuel cannot be a knight, because this would contradict the claim of Matthew that If Avery is a knight then Samuel is a knave.", "Samuel cannot be a knave, because this would contradict the claim of Avery that Samuel is not a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Evelyn that Matthew is a knight if and only if Avery is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Avery is a knight then Samuel is a knave.", "Avery cannot be a knight, because this would contradict the claim of Evelyn that Matthew is a knight if and only if Avery is a knight.", "Avery cannot be a knave, because this would contradict the false claim of Matthew that If Avery is a knight then Samuel is a knave.", "We have exhausted all possibilities for Avery and Matthew, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Avery is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Avery is a knight then Samuel is a knave.", "Avery cannot be a knight, because this would contradict the false claim of Evelyn that Matthew is a knight if and only if Avery is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Samuel is not a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Avery that Samuel is not a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Evelyn is a knight and Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 3)), ('not', ('lying', 3)), ('and', ('telling-truth', 0), ('lying', 2)))", "index": 371}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Avery, Jackson, and Scarlett. Sophia expressed that Avery is a knave. In Avery's words: \"If Scarlett is a knave then Avery is a knight\". In a statement by Jackson: \"If Sophia is a knight then Avery is a knave\". According to Scarlett, \"Avery is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Avery", "Jackson", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Sophia is a knave, Avery is a knight, Jackson is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Sophia is a knave\n(2) Avery is a knight\n(3) Jackson is a knight\n(4) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Sophia that Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that If Scarlett is a knave then Avery is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Avery that If Scarlett is a knave then Avery is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Avery is a knave.", "We have exhausted all possibilities for Scarlett and Avery, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Scarlett is a knave then Avery is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Avery is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Avery is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Sophia is a knight then Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('lying', 3), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 1)), ('lying', 1))", "index": 372}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Jacob, Emma, and Olivia. As Alexander put it, \"Jacob is not a knight\". Jacob told you that Jacob is a knight if and only if Alexander is a knave. \"Alexander is a knave or Jacob is a knight,\" Emma claimed. \"Emma is a knight if and only if Jacob is a knave,\" Olivia claimed. So who is a knight and who is a knave?", "names": ["Alexander", "Jacob", "Emma", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Alexander is a knave, Jacob is a knight, Emma is a knight, and Olivia is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) Jacob is a knight\n(3) Emma is a knight\n(4) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of Alexander that Jacob is not a knight.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Jacob is a knight if and only if Alexander is a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Jacob is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Alexander is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Alexander is a knave or Jacob is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Jacob is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('or', ('lying', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "index": 373}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Alexander, Penelope, and Lucas. According to James, \"Alexander is not a knight\". In a statement by Alexander: \"Lucas is a knave or Lucas is a knight\". In Penelope's words: \"Alexander is a knave or James is a knave\". Lucas expressed that Penelope is a knave or Alexander is a knight. So who is a knight and who is a knave?", "names": ["James", "Alexander", "Penelope", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "James is a knave, Alexander is a knight, Penelope is a knight, and Lucas is a knight.", "solution_text_format": "(1) James is a knave\n(2) Alexander is a knight\n(3) Penelope is a knight\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of James that Alexander is not a knight.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Lucas is a knave or Lucas is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Lucas is a knave or Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Penelope is a knave or Alexander is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Alexander is a knave or James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('lying', 3), ('telling-truth', 3)), ('or', ('lying', 1), ('lying', 0)), ('or', ('lying', 2), ('telling-truth', 1)))", "index": 374}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Michael, Harper, and Aria. In Jack's words: \"Aria is a knave and Harper is a knight\". Michael told you that If Aria is a knight then Harper is a knight. Harper was heard saying, \"Aria is a knight\". According to Aria, \"Michael is not a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Michael", "Harper", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Jack is a knave, Michael is a knight, Harper is a knave, and Aria is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Michael is a knight\n(3) Harper is a knave\n(4) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Aria is a knave and Harper is a knight.", "Aria cannot be a knight, because this would contradict the claim of Jack that Aria is a knave and Harper is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Aria is a knight then Harper is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Aria is a knight.", "Harper cannot be a knave, because this would contradict the claim of Jack that Aria is a knave and Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Aria is a knight then Harper is a knight.", "We have exhausted all possibilities for Michael and Aria, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Aria is a knave and Harper is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Michael is not a knight.", "Michael cannot be a knight, because this would contradict the claim of Aria that Michael is not a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that If Aria is a knight then Harper is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Michael that If Aria is a knight then Harper is a knight.", "Harper cannot be a knave, because this would contradict the false claim of their own that Aria is a knight.", "We have exhausted all possibilities for Harper and Michael, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Aria is a knight then Harper is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Jack that Aria is a knave and Harper is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('telling-truth', 3), ('not', ('telling-truth', 1)))", "index": 375}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, James, Ella, and Liam. Charlotte asserted: \"James is a knight and Ella is a knight\". James commented, \"Liam is a knave or Ella is a knave\". Ella noted, \"Charlotte is not a knight\". Liam said, \"James is not a knight.\" So who is a knight and who is a knave?", "names": ["Charlotte", "James", "Ella", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Charlotte is a knave, James is a knave, Ella is a knight, and Liam is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) James is a knave\n(3) Ella is a knight\n(4) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that James is a knight and Ella is a knight.", "Assume James is a knight. No contradiction is found in their claim that Liam is a knave or Ella is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that James is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that James is not a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knight.", "Ella cannot be a knave, because this would contradict the claim of Charlotte that James is a knight and Ella is a knight.", "We have exhausted all possibilities for Ella and Liam, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Charlotte that James is a knight and Ella is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that James is a knight and Ella is a knight.", "Assume James is a knight. No contradiction is found in their claim that Liam is a knave or Ella is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that James is not a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that James is not a knight.", "Ella cannot be a knight, because this would contradict the false claim of Charlotte that James is a knight and Ella is a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that Charlotte is not a knight.", "We have exhausted all possibilities for Ella and Liam, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Liam is a knave or Ella is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that James is not a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Charlotte is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('lying', 3), ('lying', 2)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 1)))", "index": 376}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Grace, Oliver, and Matthew. Noah told you that Oliver is a knight if and only if Matthew is a knave. Grace said, \"If Noah is a knave then Noah is a knight.\" Oliver said that Noah is a knave or Noah is a knight. Matthew said that Oliver is a knave. So who is a knight and who is a knave?", "names": ["Noah", "Grace", "Oliver", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Noah is a knight, Grace is a knight, Oliver is a knight, and Matthew is a knave.", "solution_text_format": "(1) Noah is a knight\n(2) Grace is a knight\n(3) Oliver is a knight\n(4) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Matthew is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Noah is a knave or Noah is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Noah that Oliver is a knight if and only if Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Noah is a knave then Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 0)), ('lying', 2))", "index": 377}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, James, Emma, and Lily. Sophia said, \"Emma is a knight if and only if James is a knight.\" James told you that Lily is a knight. As Emma put it, \"Lily is a knave or Sophia is a knight\". \"Emma is not a knave,\" Lily mentioned. So who is a knight and who is a knave?", "names": ["Sophia", "James", "Emma", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Sophia is a knight, James is a knight, Emma is a knight, and Lily is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) James is a knight\n(3) Emma is a knight\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Emma is a knight if and only if James is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Lily is a knave or Sophia is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Emma is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 3), ('or', ('lying', 3), ('telling-truth', 0)), ('not', ('lying', 2)))", "index": 378}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Benjamin, Avery, and Aurora. \"If Avery is a knight then Aurora is a knave,\" Victoria declared. Benjamin stated, \"If Aurora is a knight then Avery is a knave\". Avery expressed that Aurora is a knave if and only if Avery is a knight. In Aurora's words: \"Avery is a knave if and only if Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "Benjamin", "Avery", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Victoria is a knight, Benjamin is a knight, Avery is a knave, and Aurora is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Benjamin is a knight\n(3) Avery is a knave\n(4) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that If Avery is a knight then Aurora is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Avery is a knight.", "Aurora cannot be a knight, because this would contradict the claim of Victoria that If Avery is a knight then Aurora is a knave.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Avery is a knave if and only if Victoria is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Avery is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Avery that Aurora is a knave if and only if Avery is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Victoria is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Aurora is a knight then Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 3)), ('->', ('telling-truth', 3), ('lying', 2)), ('<=>', ('lying', 3), ('telling-truth', 2)), ('<=>', ('lying', 2), ('lying', 0)))", "index": 379}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Henry, Charlotte, and Victoria. Logan asserted: \"Victoria is a knave and Henry is a knave\". In a statement by Henry: \"Victoria is a knave and Victoria is a knight\". As Charlotte put it, \"Logan is not a knave\". In a statement by Victoria: \"Charlotte is a knave if and only if Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Henry", "Charlotte", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Logan is a knight, Henry is a knave, Charlotte is a knight, and Victoria is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Henry is a knave\n(3) Charlotte is a knight\n(4) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Victoria is a knave and Henry is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Logan that Victoria is a knave and Henry is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Logan is not a knave.", "Henry cannot be a knight, because this would contradict the claim of Logan that Victoria is a knave and Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Victoria is a knave and Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 1)), ('and', ('lying', 3), ('telling-truth', 3)), ('not', ('lying', 0)), ('<=>', ('lying', 2), ('telling-truth', 2)))", "index": 380}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Jackson, Aurora, and Isabella. In a statement by Zoey: \"Isabella is not a knight\". Jackson told you that Aurora is a knave. Aurora remarked, \"Aurora is a knight if and only if Isabella is a knight\". \"Aurora is not a knight\" - Isabella. So who is a knight and who is a knave?", "names": ["Zoey", "Jackson", "Aurora", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Zoey is a knave, Jackson is a knight, Aurora is a knave, and Isabella is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Jackson is a knight\n(3) Aurora is a knave\n(4) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Isabella is not a knight.", "Isabella cannot be a knight, because this would contradict the claim of Zoey that Isabella is not a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Aurora is a knight if and only if Isabella is a knight.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight if and only if Isabella is a knight.", "We have exhausted all possibilities for Aurora and Isabella, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Isabella is not a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Aurora is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of Isabella that Aurora is not a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Isabella is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('lying', 2), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('telling-truth', 2)))", "index": 381}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Abigail, Michael, and Grace. \"Michael is a knave if and only if Abigail is a knight,\" Charlotte declared. Abigail told you that If Grace is a knight then Michael is a knight. Michael said, \"If Grace is a knave then Charlotte is a knight.\" Grace told you that Michael is a knight if and only if Charlotte is a knave. So who is a knight and who is a knave?", "names": ["Charlotte", "Abigail", "Michael", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Charlotte is a knave, Abigail is a knight, Michael is a knight, and Grace is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Abigail is a knight\n(3) Michael is a knight\n(4) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Michael is a knave if and only if Abigail is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Grace is a knave then Charlotte is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Michael is a knight if and only if Charlotte is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Charlotte is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Charlotte that Michael is a knave if and only if Abigail is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that If Grace is a knight then Michael is a knight.", "We have exhausted all possibilities for Abigail and Grace, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Grace is a knave then Charlotte is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Abigail is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Grace is a knave then Charlotte is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Michael is a knight if and only if Charlotte is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Grace is a knight then Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('lying', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 0)))", "index": 382}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Ethan, Sophia, and Luke. Elizabeth said, \"Luke is a knight if and only if Sophia is a knave.\" Ethan said that Luke is not a knave. \"Luke is a knight if and only if Elizabeth is a knave\" - Sophia. Luke remarked, \"Elizabeth is a knave or Ethan is a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Ethan", "Sophia", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Elizabeth is a knave, Ethan is a knight, Sophia is a knight, and Luke is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Ethan is a knight\n(3) Sophia is a knight\n(4) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Luke is a knight if and only if Sophia is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Elizabeth is a knave or Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Luke that Elizabeth is a knave or Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Luke is not a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Elizabeth is a knave or Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Luke is not a knave.", "Ethan cannot be a knave, because this would contradict the false claim of Luke that Elizabeth is a knave or Ethan is a knave.", "We have exhausted all possibilities for Ethan and Luke, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Sophia is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Elizabeth is a knave or Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Luke is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Luke is a knight if and only if Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('not', ('lying', 3)), ('<=>', ('telling-truth', 3), ('lying', 0)), ('or', ('lying', 0), ('lying', 1)))", "index": 383}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Avery, Owen, and David. In a statement by Lily: \"David is not a knave\". Avery said that Lily is a knight or David is a knight. Owen noted, \"Avery is not a knave\". David expressed that If Owen is a knight then Lily is a knight. So who is a knight and who is a knave?", "names": ["Lily", "Avery", "Owen", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Lily is a knight, Avery is a knight, Owen is a knight, and David is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Avery is a knight\n(3) Owen is a knight\n(4) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that David is not a knave.", "Assume David is a knight. No contradiction is found in their claim that If Owen is a knight then Lily is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Lily is a knight or David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 0)))", "index": 384}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Lily, Emma, and Mia. Isabella remarked, \"Mia is a knight if and only if Emma is a knight\". Lily noted, \"Emma is a knight\". \"Lily is a knave and Isabella is a knave,\" Emma declared. Mia expressed that Lily is a knight and Isabella is a knave. So who is a knight and who is a knave?", "names": ["Isabella", "Lily", "Emma", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Isabella is a knight, Lily is a knave, Emma is a knave, and Mia is a knave.", "solution_text_format": "(1) Isabella is a knight\n(2) Lily is a knave\n(3) Emma is a knave\n(4) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Mia is a knight if and only if Emma is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Lily is a knight and Isabella is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Lily is a knight and Isabella is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of Isabella that Mia is a knight if and only if Emma is a knight.", "Emma cannot be a knave, because this would contradict the claim of Lily that Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of Isabella that Mia is a knight if and only if Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Lily is a knave and Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('telling-truth', 2), ('and', ('lying', 1), ('lying', 0)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 385}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Chloe, Logan, and Isabella. In a statement by Sofia: \"Isabella is not a knave\". \"Logan is a knave,\" Chloe declared. \"If Logan is a knight then Isabella is a knight,\" Logan claimed. As Isabella put it, \"Logan is a knight or Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Chloe", "Logan", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Sofia is a knight, Chloe is a knave, Logan is a knight, and Isabella is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Chloe is a knave\n(3) Logan is a knight\n(4) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Isabella is not a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Logan is a knight or Chloe is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Logan is a knight then Isabella is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Logan is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('lying', 2), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('telling-truth', 1)))", "index": 386}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Matthew, William, and Lily. Mason said, \"William is a knave and William is a knight.\" In Matthew's words: \"Mason is not a knight\". William was heard saying, \"Mason is not a knight\". \"William is not a knight\" - Lily. So who is a knight and who is a knave?", "names": ["Mason", "Matthew", "William", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Mason is a knave, Matthew is a knight, William is a knight, and Lily is a knave.", "solution_text_format": "(1) Mason is a knave\n(2) Matthew is a knight\n(3) William is a knight\n(4) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Mason cannot be a knight, because this would contradict the claim of their own that William is a knave and William is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that William is a knave and William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Mason is not a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Mason is not a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that William is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that William is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 2)))", "index": 387}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Matthew, Emma, and Joseph. Michael said, \"Matthew is a knave or Emma is a knave.\" As Matthew put it, \"Joseph is not a knight\". \"Michael is a knight,\" Emma mentioned. Joseph asserted: \"Michael is a knave if and only if Emma is a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Matthew", "Emma", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Michael is a knight, Matthew is a knave, Emma is a knight, and Joseph is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Matthew is a knave\n(3) Emma is a knight\n(4) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Matthew is a knave or Emma is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Matthew that Joseph is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Michael that Matthew is a knave or Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that Michael is a knight.", "We have exhausted all possibilities for Emma and Joseph, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Joseph is not a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Michael is a knave if and only if Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('not', ('telling-truth', 3)), ('telling-truth', 0), ('<=>', ('lying', 0), ('lying', 2)))", "index": 388}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Riley, Sebastian, and Emma. Jack said, \"Emma is a knave.\" \"Sebastian is a knight\" - Riley. As Sebastian put it, \"Riley is a knave if and only if Riley is a knight\". In a statement by Emma: \"Sebastian is a knave and Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Riley", "Sebastian", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Jack is a knight, Riley is a knave, Sebastian is a knave, and Emma is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Riley is a knave\n(3) Sebastian is a knave\n(4) Emma is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Jack that Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Sebastian is a knave and Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Riley is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('telling-truth', 2), ('<=>', ('lying', 1), ('telling-truth', 1)), ('and', ('lying', 2), ('telling-truth', 2)))", "index": 389}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Henry, Benjamin, and Avery. Zoey told you that Benjamin is a knight or Henry is a knave. As Henry put it, \"Avery is a knave or Zoey is a knight\". Benjamin stated, \"Benjamin is a knight or Zoey is a knave\". As Avery put it, \"Henry is a knight and Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Henry", "Benjamin", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Zoey is a knight, Henry is a knight, Benjamin is a knight, and Avery is a knave.", "solution_text_format": "(1) Zoey is a knight\n(2) Henry is a knight\n(3) Benjamin is a knight\n(4) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Benjamin is a knight or Henry is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight or Zoey is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Avery is a knave or Zoey is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Zoey is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Henry is a knight and Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 3), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 0)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 390}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Henry, Joseph, and Jack. Penelope remarked, \"If Joseph is a knight then Jack is a knave\". Henry stated, \"If Penelope is a knave then Jack is a knight\". \"Joseph is a knight and Penelope is a knave,\" Joseph declared. As Jack put it, \"Joseph is a knave and Penelope is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Henry", "Joseph", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Penelope is a knight, Henry is a knight, Joseph is a knave, and Jack is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Henry is a knight\n(3) Joseph is a knave\n(4) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that If Joseph is a knight then Jack is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Penelope is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Joseph is a knight and Penelope is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and Penelope is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Joseph is a knave and Penelope is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Penelope is a knave then Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('lying', 0)), ('and', ('lying', 2), ('lying', 0)))", "index": 391}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Penelope, Daniel, and Amelia. Benjamin said that Daniel is a knave and Amelia is a knight. \"Amelia is a knight if and only if Amelia is a knave\" - Penelope. In a statement by Daniel: \"If Amelia is a knight then Daniel is a knight\". Amelia said that Penelope is a knight. So who is a knight and who is a knave?", "names": ["Benjamin", "Penelope", "Daniel", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Benjamin is a knave, Penelope is a knave, Daniel is a knight, and Amelia is a knave.", "solution_text_format": "(1) Benjamin is a knave\n(2) Penelope is a knave\n(3) Daniel is a knight\n(4) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Daniel is a knave and Amelia is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Benjamin that Daniel is a knave and Amelia is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Amelia is a knight then Daniel is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Amelia is a knave.", "Penelope cannot be a knave, because this would contradict the claim of Amelia that Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the claim of Benjamin that Daniel is a knave and Amelia is a knight.", "We have exhausted all possibilities for Amelia and Daniel, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Daniel is a knave and Amelia is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Amelia is a knight then Daniel is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Amelia is a knave.", "Penelope cannot be a knave, because this would contradict the claim of Amelia that Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Amelia is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('telling-truth', 1))", "index": 392}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Avery, Samuel, and Alexander. Logan noted, \"If Samuel is a knave then Avery is a knave\". \"Alexander is a knave if and only if Samuel is a knave\" - Avery. In a statement by Samuel: \"Logan is a knave\". In a statement by Alexander: \"Avery is a knave if and only if Samuel is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Avery", "Samuel", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Logan is a knight, Avery is a knave, Samuel is a knave, and Alexander is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Avery is a knave\n(3) Samuel is a knave\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that If Samuel is a knave then Avery is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Logan is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Logan is a knave.", "Avery cannot be a knight, because this would contradict the claim of Logan that If Samuel is a knave then Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if Samuel is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Avery is a knave if and only if Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('<=>', ('lying', 3), ('lying', 2)), ('lying', 0), ('<=>', ('lying', 1), ('lying', 2)))", "index": 393}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Emma, Lily, and Owen. Aiden told you that Owen is not a knave. In a statement by Emma: \"Lily is a knight and Owen is a knight\". Lily asserted: \"Owen is a knave\". \"If Emma is a knight then Lily is a knight,\" Owen mentioned. So who is a knight and who is a knave?", "names": ["Aiden", "Emma", "Lily", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Aiden is a knight, Emma is a knave, Lily is a knave, and Owen is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Emma is a knave\n(3) Lily is a knave\n(4) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Emma is a knight then Lily is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Lily is a knight and Owen is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Lily cannot be a knave, because this would contradict the claim of Emma that Lily is a knight and Owen is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Lily is a knight and Owen is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Emma that Lily is a knight and Owen is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('lying', 3), ('->', ('telling-truth', 1), ('telling-truth', 2)))", "index": 394}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Olivia, Harper, and Owen. As Charlotte put it, \"Harper is a knight if and only if Owen is a knave\". \"If Olivia is a knight then Charlotte is a knave,\" Olivia declared. \"Charlotte is not a knight,\" Harper declared. Owen remarked, \"Charlotte is not a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Olivia", "Harper", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Charlotte is a knave, Olivia is a knight, Harper is a knight, and Owen is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Olivia is a knight\n(3) Harper is a knight\n(4) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Harper is a knight if and only if Owen is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Charlotte is not a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knight.", "Owen cannot be a knave, because this would contradict the claim of Charlotte that Harper is a knight if and only if Owen is a knave.", "We have exhausted all possibilities for Owen and Harper, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Owen is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Charlotte is not a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Charlotte is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Olivia is a knight then Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 3)), ('->', ('telling-truth', 1), ('lying', 0)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "index": 395}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Oliver, Aria, and Owen. In Olivia's words: \"Owen is a knight or Aria is a knight\". As Oliver put it, \"Olivia is a knave or Owen is a knave\". \"If Oliver is a knave then Owen is a knight,\" Aria claimed. In Owen's words: \"Oliver is a knight and Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "Oliver", "Aria", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Olivia is a knight, Oliver is a knight, Aria is a knight, and Owen is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Oliver is a knight\n(3) Aria is a knight\n(4) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Owen is a knight or Aria is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Oliver is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Oliver is a knight and Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Olivia is a knave or Owen is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Oliver is a knave then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 3)), ('->', ('lying', 1), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('lying', 1)))", "index": 396}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Victoria, Charlotte, and Abigail. Liam noted, \"Victoria is a knave or Abigail is a knight\". Victoria asserted: \"Liam is a knight if and only if Abigail is a knave\". \"Liam is a knight or Victoria is a knave,\" Charlotte mentioned. Abigail said, \"Abigail is a knight or Liam is a knight.\" So who is a knight and who is a knave?", "names": ["Liam", "Victoria", "Charlotte", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Liam is a knight, Victoria is a knave, Charlotte is a knight, and Abigail is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Victoria is a knave\n(3) Charlotte is a knight\n(4) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Victoria is a knave or Abigail is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Liam is a knight if and only if Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Victoria that Liam is a knight if and only if Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the claim of Liam that Victoria is a knave or Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight or Liam is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Liam is a knight or Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('or', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 3), ('telling-truth', 0)))", "index": 397}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Charlotte, William, and Alexander. Grace said that Charlotte is a knight and William is a knight. In Charlotte's words: \"William is not a knave\". William commented, \"Grace is a knave and Grace is a knight\". In Alexander's words: \"Charlotte is a knave if and only if Grace is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Charlotte", "William", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Grace is a knave, Charlotte is a knave, William is a knave, and Alexander is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Charlotte is a knave\n(3) William is a knave\n(4) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Charlotte is a knight and William is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that William is not a knave.", "William cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Grace is a knight.", "William cannot be a knave, because this would contradict the claim of Grace that Charlotte is a knight and William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Grace that Charlotte is a knight and William is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Charlotte is a knight and William is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that William is not a knave.", "William cannot be a knight, because this would contradict the false claim of Grace that Charlotte is a knight and William is a knight.", "William cannot be a knave, because this would contradict the claim of Charlotte that William is not a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that William is not a knave.", "William cannot be a knight, because this would contradict the false claim of Charlotte that William is not a knave.", "Assume William is a knave. No contradiction is found in their false claim that Grace is a knave and Grace is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave if and only if Grace is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 0)), ('<=>', ('lying', 1), ('telling-truth', 0)))", "index": 398}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Emma, Luke, and Noah. Isabella remarked, \"Noah is a knave\". Emma was heard saying, \"If Luke is a knave then Emma is a knight\". \"Noah is a knave if and only if Isabella is a knight,\" Luke claimed. \"Emma is a knight\" - Noah. So who is a knight and who is a knave?", "names": ["Isabella", "Emma", "Luke", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Isabella is a knave, Emma is a knight, Luke is a knight, and Noah is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Emma is a knight\n(3) Luke is a knight\n(4) Noah is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Isabella that Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Emma is a knight.", "Emma cannot be a knight, because this would contradict the false claim of Noah that Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that If Luke is a knave then Emma is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Emma that If Luke is a knave then Emma is a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that Noah is a knave if and only if Isabella is a knight.", "We have exhausted all possibilities for Luke, Emma, and Noah, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Luke is a knave then Emma is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Noah is a knave if and only if Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('->', ('lying', 2), ('telling-truth', 1)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('telling-truth', 1))", "index": 399}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Harper, James, and Liam. Jack commented, \"James is not a knave\". \"If Liam is a knave then Harper is a knight,\" Harper declared. James said, \"Harper is not a knight.\" Liam stated, \"James is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Harper", "James", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Jack is a knave, Harper is a knight, James is a knave, and Liam is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Harper is a knight\n(3) James is a knave\n(4) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Harper is not a knight.", "Harper cannot be a knight, because this would contradict the claim of James that Harper is not a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that If Liam is a knave then Harper is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Harper that If Liam is a knave then Harper is a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that James is a knight.", "We have exhausted all possibilities for Liam and Harper, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Jack that James is not a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that James is not a knave.", "James cannot be a knight, because this would contradict the false claim of Jack that James is not a knave.", "Assume James is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Assume Harper is a knight. No contradiction is found in their claim that If Liam is a knave then Harper is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that James is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 1)), ('not', ('telling-truth', 1)), ('telling-truth', 2))", "index": 400}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Alexander, Riley, and Benjamin. Mia was heard saying, \"Alexander is a knight\". Alexander expressed that Riley is a knave. Riley said that Mia is a knight and Riley is a knight. Benjamin stated, \"Riley is not a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Alexander", "Riley", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Mia is a knight, Alexander is a knight, Riley is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Alexander is a knight\n(3) Riley is a knave\n(4) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Alexander that Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Mia is a knight and Riley is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Riley is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('lying', 2), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('telling-truth', 2)))", "index": 401}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Mason, Emily, and Michael. \"Michael is a knight\" - Sophia. \"Michael is a knight\" - Mason. Emily said, \"Michael is a knave or Sophia is a knight.\" As Michael put it, \"Emily is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Mason", "Emily", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Sophia is a knight, Mason is a knight, Emily is a knight, and Michael is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Mason is a knight\n(3) Emily is a knight\n(4) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Michael is a knave or Sophia is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('telling-truth', 3), ('or', ('lying', 3), ('telling-truth', 0)), ('telling-truth', 2))", "index": 402}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Alexander, Jacob, and Sophia. Penelope commented, \"Penelope is a knight and Jacob is a knight\". Alexander expressed that Penelope is a knave or Jacob is a knight. Jacob commented, \"Alexander is a knave if and only if Sophia is a knight\". According to Sophia, \"Penelope is a knave or Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Alexander", "Jacob", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Penelope is a knave, Alexander is a knight, Jacob is a knave, and Sophia is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Alexander is a knight\n(3) Jacob is a knave\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Penelope is a knight and Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Sophia is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Penelope is a knave or Jacob is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Jacob that Alexander is a knave if and only if Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Penelope is a knave or Jacob is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Penelope is a knave or Jacob is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Penelope that Penelope is a knight and Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight and Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Sophia is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Penelope is a knave or Jacob is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Jacob that Alexander is a knave if and only if Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Penelope is a knave or Jacob is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Penelope is a knave or Jacob is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if Sophia is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Penelope is a knave or Jacob is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Penelope is a knave or Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 2)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('or', ('lying', 0), ('telling-truth', 2)))", "index": 403}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Amelia, Olivia, and Aurora. According to Jacob, \"Amelia is a knight or Aurora is a knight\". Amelia remarked, \"Aurora is not a knight\". Olivia told you that Jacob is a knight if and only if Amelia is a knave. Aurora stated, \"Aurora is a knight or Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Amelia", "Olivia", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Jacob is a knight, Amelia is a knave, Olivia is a knight, and Aurora is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Amelia is a knave\n(3) Olivia is a knight\n(4) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Amelia is a knight or Aurora is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Aurora is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of Amelia that Aurora is not a knight.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight or Jacob is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Aurora is a knight or Jacob is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 3), ('telling-truth', 0)))", "index": 404}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Zoey, Charlotte, and Sophia. As William put it, \"Sophia is a knight\". \"Charlotte is a knave if and only if Zoey is a knight,\" Zoey claimed. Charlotte remarked, \"Charlotte is a knight and Sophia is a knight\". Sophia said that If Zoey is a knight then William is a knave. So who is a knight and who is a knave?", "names": ["William", "Zoey", "Charlotte", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "William is a knight, Zoey is a knave, Charlotte is a knave, and Sophia is a knight.", "solution_text_format": "(1) William is a knight\n(2) Zoey is a knave\n(3) Charlotte is a knave\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Zoey is a knight then William is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Sophia that If Zoey is a knight then William is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Zoey is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Zoey that Charlotte is a knave if and only if Zoey is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight and Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('<=>', ('lying', 2), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 405}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, David, Emily, and Liam. Owen was heard saying, \"Liam is a knight or David is a knave\". According to David, \"David is a knight or Liam is a knight\". Emily remarked, \"Liam is a knight if and only if Owen is a knave\". In a statement by Liam: \"Owen is a knight or Emily is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "David", "Emily", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Owen is a knight, David is a knight, Emily is a knave, and Liam is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) David is a knight\n(3) Emily is a knave\n(4) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Liam is a knight or David is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Owen is a knight or Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if Owen is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Owen is a knave.", "Assume David is a knight. No contradiction is found in their claim that David is a knight or Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 1)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('lying', 0)), ('or', ('telling-truth', 0), ('lying', 2)))", "index": 406}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Emma, Lucas, and Sofia. David stated, \"David is a knight or Lucas is a knight\". \"Sofia is a knight\" - Emma. As Lucas put it, \"David is a knight if and only if Emma is a knave\". Sofia told you that Lucas is a knight. So who is a knight and who is a knave?", "names": ["David", "Emma", "Lucas", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "David is a knave, Emma is a knave, Lucas is a knave, and Sofia is a knave.", "solution_text_format": "(1) David is a knave\n(2) Emma is a knave\n(3) Lucas is a knave\n(4) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that David is a knight or Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that David is a knight if and only if Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Lucas that David is a knight if and only if Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Emma that Sofia is a knight.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Lucas is a knight.", "We have exhausted all possibilities for Sofia and Emma, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that David is a knight if and only if Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Lucas is a knight.", "Sofia cannot be a knave, because this would contradict the claim of Emma that Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the false claim of Lucas that David is a knight if and only if Emma is a knave.", "We have exhausted all possibilities for Emma and Lucas, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight or Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of David that David is a knight or Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that David is a knight if and only if Emma is a knave.", "Emma cannot be a knight, because this would contradict the false claim of Lucas that David is a knight if and only if Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Emma that Sofia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 3), ('<=>', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 2))", "index": 407}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Jacob, Grace, and Jack. \"Jacob is a knight or Jacob is a knave\" - Lucas. According to Jacob, \"Jack is not a knave\". Grace noted, \"Lucas is a knight\". Jack told you that Grace is a knave and Lucas is a knave. So who is a knight and who is a knave?", "names": ["Lucas", "Jacob", "Grace", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Lucas is a knight, Jacob is a knave, Grace is a knight, and Jack is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Jacob is a knave\n(3) Grace is a knight\n(4) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Jacob is a knight or Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Jack is not a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Lucas is a knave.", "Jack cannot be a knave, because this would contradict the claim of Jacob that Jack is not a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jack is not a knave.", "Jack cannot be a knight, because this would contradict the false claim of Jacob that Jack is not a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Grace is a knave and Lucas is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 3)), ('telling-truth', 0), ('and', ('lying', 2), ('lying', 0)))", "index": 408}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Lily, Abigail, and Zoey. As Victoria put it, \"Victoria is a knight if and only if Zoey is a knight\". \"If Abigail is a knave then Victoria is a knave,\" Lily claimed. As Abigail put it, \"If Zoey is a knight then Lily is a knight\". \"Abigail is a knave,\" Zoey claimed. So who is a knight and who is a knave?", "names": ["Victoria", "Lily", "Abigail", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Victoria is a knight, Lily is a knave, Abigail is a knave, and Zoey is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) Lily is a knave\n(3) Abigail is a knave\n(4) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Zoey that Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Zoey is a knight then Lily is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that If Abigail is a knave then Victoria is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that If Abigail is a knave then Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('->', ('lying', 2), ('lying', 0)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('lying', 2))", "index": 409}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Benjamin, Matthew, and Samuel. \"Matthew is a knave if and only if Samuel is a knight,\" Liam mentioned. Benjamin remarked, \"Matthew is a knight or Liam is a knave\". \"Liam is not a knight,\" Matthew declared. Samuel stated, \"Liam is not a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Benjamin", "Matthew", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Liam is a knight, Benjamin is a knave, Matthew is a knave, and Samuel is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Benjamin is a knave\n(3) Matthew is a knave\n(4) Samuel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Samuel is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Liam is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Liam is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Liam is not a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Matthew is a knight or Liam is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Matthew is a knight or Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 0)), ('not', ('telling-truth', 0)), ('not', ('lying', 0)))", "index": 410}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Sebastian, Elizabeth, and Mason. \"Mason is not a knight,\" Alexander mentioned. \"Elizabeth is a knave if and only if Alexander is a knight\" - Sebastian. \"Sebastian is not a knave,\" Elizabeth declared. Mason said that Sebastian is not a knave. So who is a knight and who is a knave?", "names": ["Alexander", "Sebastian", "Elizabeth", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Alexander is a knave, Sebastian is a knight, Elizabeth is a knight, and Mason is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Sebastian is a knight\n(3) Elizabeth is a knight\n(4) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Mason is not a knight.", "Mason cannot be a knight, because this would contradict the claim of Alexander that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Mason that Sebastian is not a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Elizabeth is a knave if and only if Alexander is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of Sebastian that Elizabeth is a knave if and only if Alexander is a knight.", "We have exhausted all possibilities for Elizabeth, Sebastian, and Mason, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Elizabeth is a knave if and only if Alexander is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Sebastian is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('not', ('lying', 1)), ('not', ('lying', 1)))", "index": 411}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Owen, Samuel, and Ella. According to Alexander, \"If Alexander is a knight then Samuel is a knight\". \"Samuel is a knave if and only if Ella is a knave,\" Owen mentioned. Samuel said that Alexander is a knight. \"Samuel is not a knave,\" Ella mentioned. So who is a knight and who is a knave?", "names": ["Alexander", "Owen", "Samuel", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Alexander is a knight, Owen is a knight, Samuel is a knight, and Ella is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Owen is a knight\n(3) Samuel is a knight\n(4) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that If Alexander is a knight then Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Alexander is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Samuel is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('<=>', ('lying', 2), ('lying', 3)), ('telling-truth', 0), ('not', ('lying', 2)))", "index": 412}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Zoey, Daniel, and Evelyn. Riley commented, \"Evelyn is not a knight\". According to Zoey, \"Riley is not a knave\". Daniel said that Evelyn is a knave or Evelyn is a knight. In Evelyn's words: \"If Riley is a knave then Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Zoey", "Daniel", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Riley is a knave, Zoey is a knave, Daniel is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Zoey is a knave\n(3) Daniel is a knight\n(4) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Evelyn is not a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Riley that Evelyn is not a knight.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that If Riley is a knave then Zoey is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Evelyn is not a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Riley is a knave then Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Riley is not a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Riley is not a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Evelyn is a knave or Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('not', ('lying', 0)), ('or', ('lying', 3), ('telling-truth', 3)), ('->', ('lying', 0), ('lying', 1)))", "index": 413}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Logan, Penelope, and Harper. In a statement by Liam: \"Penelope is a knave if and only if Logan is a knave\". \"Liam is not a knight,\" Logan mentioned. According to Penelope, \"If Logan is a knave then Liam is a knave\". Harper expressed that Liam is a knave if and only if Penelope is a knave. So who is a knight and who is a knave?", "names": ["Liam", "Logan", "Penelope", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Liam is a knight, Logan is a knave, Penelope is a knave, and Harper is a knave.", "solution_text_format": "(1) Liam is a knight\n(2) Logan is a knave\n(3) Penelope is a knave\n(4) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Penelope is a knave if and only if Logan is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Logan is a knave then Liam is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Liam is not a knight.", "Logan cannot be a knave, because this would contradict the claim of Liam that Penelope is a knave if and only if Logan is a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that If Logan is a knave then Liam is a knave.", "Logan cannot be a knight, because this would contradict the claim of Liam that Penelope is a knave if and only if Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Liam is not a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Liam is a knave if and only if Penelope is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('not', ('telling-truth', 0)), ('->', ('lying', 1), ('lying', 0)), ('<=>', ('lying', 0), ('lying', 2)))", "index": 414}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Scarlett, Michael, and Ella. Samuel said that Scarlett is a knave or Michael is a knave. As Scarlett put it, \"Michael is a knave and Michael is a knight\". \"Ella is a knight or Scarlett is a knave,\" Michael claimed. According to Ella, \"Samuel is a knave if and only if Michael is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Scarlett", "Michael", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Samuel is a knight, Scarlett is a knave, Michael is a knight, and Ella is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Scarlett is a knave\n(3) Michael is a knight\n(4) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Scarlett is a knave or Michael is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Michael is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Michael is a knave and Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Ella is a knight or Scarlett is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('and', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 3), ('lying', 1)), ('<=>', ('lying', 0), ('lying', 2)))", "index": 415}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Ava, Elizabeth, and Charlotte. \"Ava is a knight\" - Lucas. \"If Charlotte is a knave then Elizabeth is a knight,\" Ava mentioned. According to Elizabeth, \"Charlotte is a knave or Lucas is a knight\". In Charlotte's words: \"If Charlotte is a knight then Ava is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Ava", "Elizabeth", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Lucas is a knight, Ava is a knight, Elizabeth is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Ava is a knight\n(3) Elizabeth is a knight\n(4) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Charlotte is a knave then Elizabeth is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Charlotte is a knight then Ava is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Charlotte is a knave or Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('lying', 3), ('telling-truth', 2)), ('or', ('lying', 3), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 416}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Mia, Riley, and Liam. \"If Riley is a knight then Mason is a knight,\" Mason claimed. Mia was heard saying, \"Mason is a knight or Mia is a knight\". \"Riley is a knight if and only if Mia is a knave\" - Riley. Liam expressed that Mia is not a knight. So who is a knight and who is a knave?", "names": ["Mason", "Mia", "Riley", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Mason is a knave, Mia is a knave, Riley is a knight, and Liam is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Mia is a knave\n(3) Riley is a knight\n(4) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that If Riley is a knight then Mason is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Riley is a knight if and only if Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Riley that Riley is a knight if and only if Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that Mason is a knight or Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Mia is a knave.", "Mia cannot be a knight, because this would contradict the false claim of Riley that Riley is a knight if and only if Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that Mason is a knight or Mia is a knight.", "We have exhausted all possibilities for Mia and Riley, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that If Riley is a knight then Mason is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Riley is a knight if and only if Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Riley that Riley is a knight if and only if Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Mason is a knight or Mia is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Mia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('not', ('telling-truth', 1)))", "index": 417}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Aiden, Michael, and Ethan. \"Aiden is a knight,\" Emma claimed. \"If Michael is a knave then Michael is a knight\" - Aiden. \"Ethan is not a knave\" - Michael. Ethan stated, \"Ethan is a knight or Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Aiden", "Michael", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Emma is a knight, Aiden is a knight, Michael is a knight, and Ethan is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Aiden is a knight\n(3) Michael is a knight\n(4) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Michael is a knave then Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Ethan is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight or Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 3)), ('or', ('telling-truth', 3), ('lying', 1)))", "index": 418}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Elizabeth, Emily, and Charlotte. According to Oliver, \"If Emily is a knave then Elizabeth is a knight\". Elizabeth said that Emily is a knave and Oliver is a knave. Emily commented, \"Charlotte is a knight\". Charlotte noted, \"If Emily is a knight then Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Elizabeth", "Emily", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Oliver is a knight, Elizabeth is a knave, Emily is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Elizabeth is a knave\n(3) Emily is a knight\n(4) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that If Emily is a knave then Elizabeth is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Emily is a knight then Charlotte is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Emily is a knave and Oliver is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Emily is a knave and Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 1)), ('and', ('lying', 2), ('lying', 0)), ('telling-truth', 3), ('->', ('telling-truth', 2), ('telling-truth', 3)))", "index": 419}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Henry, Olivia, and Victoria. Ava stated, \"Victoria is a knight if and only if Olivia is a knight\". According to Henry, \"If Ava is a knight then Victoria is a knave\". Olivia asserted: \"Ava is a knight\". Victoria said, \"Olivia is a knight and Henry is a knave.\" So who is a knight and who is a knave?", "names": ["Ava", "Henry", "Olivia", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Ava is a knight, Henry is a knave, Olivia is a knight, and Victoria is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Henry is a knave\n(3) Olivia is a knight\n(4) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Olivia is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Olivia is a knight and Henry is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Ava is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that If Ava is a knight then Victoria is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that If Ava is a knight then Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 3)), ('telling-truth', 0), ('and', ('telling-truth', 2), ('lying', 1)))", "index": 420}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Emma, Matthew, and David. Charlotte noted, \"David is a knave\". Emma asserted: \"Charlotte is a knave\". Matthew said that Charlotte is a knight. According to David, \"Matthew is a knight if and only if Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Emma", "Matthew", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Charlotte is a knight, Emma is a knave, Matthew is a knight, and David is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Emma is a knave\n(3) Matthew is a knight\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that David is a knave.", "David cannot be a knight, because this would contradict the claim of Charlotte that David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('lying', 0), ('telling-truth', 0), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 421}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Matthew, Luke, and Aria. In a statement by Sofia: \"Matthew is a knight or Luke is a knight\". \"Matthew is a knight if and only if Sofia is a knight\" - Matthew. In Luke's words: \"Aria is a knave and Sofia is a knave\". Aria asserted: \"If Aria is a knight then Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Matthew", "Luke", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Sofia is a knight, Matthew is a knight, Luke is a knave, and Aria is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Matthew is a knight\n(3) Luke is a knave\n(4) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Matthew is a knight or Luke is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Sofia is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Aria is a knave and Sofia is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Aria is a knave and Sofia is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Aria is a knight then Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 3), ('lying', 0)), ('->', ('telling-truth', 3), ('telling-truth', 0)))", "index": 422}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Penelope, Aria, and Avery. In a statement by Noah: \"Avery is a knight if and only if Aria is a knight\". \"Avery is a knave if and only if Aria is a knave,\" Penelope claimed. Aria noted, \"If Penelope is a knave then Noah is a knight\". Avery stated, \"Noah is not a knight\". So who is a knight and who is a knave?", "names": ["Noah", "Penelope", "Aria", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Noah is a knave, Penelope is a knave, Aria is a knave, and Avery is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Penelope is a knave\n(3) Aria is a knave\n(4) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Avery is a knight if and only if Aria is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Noah is not a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Noah is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Noah that Avery is a knight if and only if Aria is a knight.", "Aria cannot be a knave, because this would contradict the false claim of their own that If Penelope is a knave then Noah is a knight.", "We have exhausted all possibilities for Aria and Avery, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Aria is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Noah is not a knight.", "Aria cannot be a knight, because this would contradict the false claim of Noah that Avery is a knight if and only if Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that If Penelope is a knave then Noah is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Avery is a knave if and only if Aria is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('lying', 3), ('lying', 2)), ('->', ('lying', 1), ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "index": 423}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Abigail, Alexander, and Charlotte. \"Charlotte is a knight if and only if Charlotte is a knave,\" David mentioned. Abigail stated, \"David is a knave\". Alexander stated, \"Abigail is a knave and Charlotte is a knave\". \"Alexander is a knave if and only if David is a knave\" - Charlotte. So who is a knight and who is a knave?", "names": ["David", "Abigail", "Alexander", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "David is a knave, Abigail is a knight, Alexander is a knave, and Charlotte is a knight.", "solution_text_format": "(1) David is a knave\n(2) Abigail is a knight\n(3) Alexander is a knave\n(4) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["David cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight if and only if Charlotte is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Alexander is a knave if and only if David is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Abigail is a knave and Charlotte is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Abigail is a knave and Charlotte is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 3)), ('lying', 0), ('and', ('lying', 1), ('lying', 3)), ('<=>', ('lying', 2), ('lying', 0)))", "index": 424}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, Samuel, Harper, and Chloe. Avery said that If Chloe is a knight then Samuel is a knave. Samuel asserted: \"Avery is a knight\". Harper noted, \"Chloe is a knight if and only if Samuel is a knave\". Chloe noted, \"Harper is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Samuel", "Harper", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Avery is a knight, Samuel is a knight, Harper is a knight, and Chloe is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Samuel is a knight\n(3) Harper is a knight\n(4) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that If Chloe is a knight then Samuel is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Chloe that Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Avery that If Chloe is a knight then Samuel is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Avery is a knight.", "We have exhausted all possibilities for Samuel and Harper, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 1)), ('telling-truth', 0), ('<=>', ('telling-truth', 3), ('lying', 1)), ('lying', 2))", "index": 425}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, Victoria, Oliver, and Scarlett. \"Victoria is a knave,\" Abigail mentioned. Victoria noted, \"Oliver is a knave\". In Oliver's words: \"Scarlett is a knight\". Scarlett remarked, \"If Victoria is a knave then Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Victoria", "Oliver", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Abigail is a knight, Victoria is a knave, Oliver is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Victoria is a knave\n(3) Oliver is a knight\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Abigail that Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Victoria is a knave then Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('lying', 2), ('telling-truth', 3), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 426}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Henry, Amelia, and Liam. Jack commented, \"Henry is not a knave\". Henry remarked, \"If Henry is a knight then Amelia is a knave\". Amelia told you that Liam is a knight and Liam is a knave. As Liam put it, \"Henry is a knight and Jack is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Henry", "Amelia", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Jack is a knight, Henry is a knight, Amelia is a knave, and Liam is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Henry is a knight\n(3) Amelia is a knave\n(4) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Henry is not a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Henry is a knight then Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Henry that If Henry is a knight then Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Liam is a knight and Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Jack is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Henry is a knight and Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 3), ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 427}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Emma, Liam, and Logan. Henry noted, \"Liam is not a knave\". \"Logan is a knight if and only if Logan is a knave,\" Emma declared. Liam commented, \"Emma is a knight and Logan is a knave\". \"If Emma is a knave then Liam is a knight,\" Logan declared. So who is a knight and who is a knave?", "names": ["Henry", "Emma", "Liam", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Henry is a knave, Emma is a knave, Liam is a knave, and Logan is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) Emma is a knave\n(3) Liam is a knave\n(4) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Emma is a knight and Logan is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Logan is a knave.", "Emma cannot be a knave, because this would contradict the claim of Liam that Emma is a knight and Logan is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Henry that Liam is not a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Liam is not a knave.", "Liam cannot be a knight, because this would contradict the false claim of Henry that Liam is not a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Emma is a knight and Logan is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Logan is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that If Emma is a knave then Liam is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that If Emma is a knave then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 428}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Riley, Sebastian, and Logan. \"Sebastian is a knave and Logan is a knight\" - Elizabeth. Riley said, \"Sebastian is not a knight.\" In a statement by Sebastian: \"Elizabeth is a knight if and only if Riley is a knight\". \"Sebastian is a knave,\" Logan declared. So who is a knight and who is a knave?", "names": ["Elizabeth", "Riley", "Sebastian", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Elizabeth is a knave, Riley is a knave, Sebastian is a knight, and Logan is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Riley is a knave\n(3) Sebastian is a knight\n(4) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Sebastian is a knave and Logan is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Elizabeth that Sebastian is a knave and Logan is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Sebastian that Elizabeth is a knight if and only if Riley is a knight.", "Riley cannot be a knave, because this would contradict the false claim of their own that Sebastian is not a knight.", "We have exhausted all possibilities for Riley and Sebastian, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Sebastian is a knave and Logan is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 2))", "index": 429}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, William, Emma, and Lily. Olivia commented, \"Olivia is a knight and Emma is a knave\". \"If Lily is a knight then Olivia is a knave\" - William. Emma remarked, \"Olivia is a knave and Lily is a knave\". Lily commented, \"William is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "William", "Emma", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Olivia is a knave, William is a knight, Emma is a knave, and Lily is a knight.", "solution_text_format": "(1) Olivia is a knave\n(2) William is a knight\n(3) Emma is a knave\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight and Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Olivia that Olivia is a knight and Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Olivia is a knave and Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that If Lily is a knight then Olivia is a knave.", "William cannot be a knave, because this would contradict the claim of Lily that William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that William is a knight.", "William cannot be a knight, because this would contradict the false claim of Lily that William is a knight.", "William cannot be a knave, because this would contradict the false claim of their own that If Lily is a knight then Olivia is a knave.", "We have exhausted all possibilities for William, Lily, and Emma, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Olivia is a knight and Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Olivia is a knave and Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Emma that Olivia is a knave and Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that William is a knight.", "William cannot be a knight, because this would contradict the false claim of Lily that William is a knight.", "William cannot be a knave, because this would contradict the false claim of their own that If Lily is a knight then Olivia is a knave.", "We have exhausted all possibilities for William and Lily, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Olivia is a knave and Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that William is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Lily is a knight then Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 2)), ('->', ('telling-truth', 3), ('lying', 0)), ('and', ('lying', 0), ('lying', 3)), ('telling-truth', 1))", "index": 430}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Daniel, Mia, and Liam. As Emma put it, \"Liam is a knave and Mia is a knight\". Daniel was heard saying, \"If Liam is a knave then Emma is a knave\". Mia commented, \"Liam is a knave\". \"If Daniel is a knave then Mia is a knight\" - Liam. So who is a knight and who is a knave?", "names": ["Emma", "Daniel", "Mia", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Emma is a knave, Daniel is a knight, Mia is a knave, and Liam is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) Daniel is a knight\n(3) Mia is a knave\n(4) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Liam is a knave and Mia is a knight.", "Liam cannot be a knight, because this would contradict the claim of Emma that Liam is a knave and Mia is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that If Daniel is a knave then Mia is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that If Liam is a knave then Emma is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Liam is a knave then Emma is a knave.", "Mia cannot be a knight, because this would contradict the false claim of Liam that If Daniel is a knave then Mia is a knight.", "Mia cannot be a knave, because this would contradict the claim of Emma that Liam is a knave and Mia is a knight.", "We have exhausted all possibilities for Mia, Daniel, and Liam, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Liam is a knave and Mia is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Daniel is a knave then Mia is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Liam is a knave then Emma is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Liam is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 2)), ('->', ('lying', 3), ('lying', 0)), ('lying', 3), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 431}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Zoey, Ella, and Mia. William noted, \"Mia is not a knight\". Zoey remarked, \"Zoey is a knight or Ella is a knave\". Ella said, \"Mia is a knight and William is a knight.\" \"If Zoey is a knight then Zoey is a knave,\" Mia declared. So who is a knight and who is a knave?", "names": ["William", "Zoey", "Ella", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "William is a knight, Zoey is a knight, Ella is a knave, and Mia is a knave.", "solution_text_format": "(1) William is a knight\n(2) Zoey is a knight\n(3) Ella is a knave\n(4) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Mia is not a knight.", "Mia cannot be a knight, because this would contradict the claim of William that Mia is not a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that If Zoey is a knight then Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight or Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Mia is a knight and William is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Mia is a knight and William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('or', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 432}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Daniel, Samuel, and Olivia. According to Joseph, \"Daniel is a knight or Olivia is a knight\". Daniel stated, \"Olivia is a knave if and only if Daniel is a knight\". Samuel stated, \"Daniel is a knave if and only if Samuel is a knight\". In Olivia's words: \"If Samuel is a knave then Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Daniel", "Samuel", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Joseph is a knave, Daniel is a knave, Samuel is a knave, and Olivia is a knave.", "solution_text_format": "(1) Joseph is a knave\n(2) Daniel is a knave\n(3) Samuel is a knave\n(4) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Daniel is a knight or Olivia is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Daniel is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Daniel that Olivia is a knave if and only if Daniel is a knight.", "Olivia cannot be a knave, because this would contradict the false claim of their own that If Samuel is a knave then Joseph is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Daniel is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Daniel that Olivia is a knave if and only if Daniel is a knight.", "Olivia cannot be a knave, because this would contradict the claim of Joseph that Daniel is a knight or Olivia is a knight.", "We have exhausted all possibilities for Olivia and Daniel, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Daniel is a knight or Olivia is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Joseph that Daniel is a knight or Olivia is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Daniel is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Joseph that Daniel is a knight or Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Samuel is a knave then Joseph is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Olivia that If Samuel is a knave then Joseph is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('lying', 3), ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 2)), ('->', ('lying', 2), ('telling-truth', 0)))", "index": 433}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Sophia, Lucas, and Aria. Jack expressed that Lucas is a knave. According to Sophia, \"Jack is a knight\". Lucas was heard saying, \"Sophia is a knave and Jack is a knight\". Aria told you that Sophia is a knave and Jack is a knight. So who is a knight and who is a knave?", "names": ["Jack", "Sophia", "Lucas", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Jack is a knight, Sophia is a knight, Lucas is a knave, and Aria is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Sophia is a knight\n(3) Lucas is a knave\n(4) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Jack that Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sophia is a knave and Jack is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Jack is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Jack is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Sophia is a knave and Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('telling-truth', 0), ('and', ('lying', 1), ('telling-truth', 0)), ('and', ('lying', 1), ('telling-truth', 0)))", "index": 434}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Lily, Elizabeth, and Alexander. \"Alexander is a knight and Elizabeth is a knight\" - Matthew. Lily said that Matthew is not a knight. Elizabeth expressed that Elizabeth is a knight if and only if Lily is a knave. In Alexander's words: \"If Alexander is a knight then Lily is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Lily", "Elizabeth", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Matthew is a knight, Lily is a knave, Elizabeth is a knight, and Alexander is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Lily is a knave\n(3) Elizabeth is a knight\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Alexander is a knight and Elizabeth is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Alexander is a knight then Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Matthew is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('->', ('telling-truth', 3), ('lying', 1)))", "index": 435}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Aiden, Jack, and William. Lily noted, \"If Aiden is a knave then Jack is a knave\". In Aiden's words: \"If Aiden is a knight then William is a knight\". \"Jack is a knight if and only if William is a knight,\" Jack declared. William stated, \"Aiden is a knight and Jack is a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Aiden", "Jack", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Lily is a knight, Aiden is a knight, Jack is a knave, and William is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Aiden is a knight\n(3) Jack is a knave\n(4) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that If Aiden is a knave then Jack is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Aiden is a knight and Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of William that Aiden is a knight and Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight if and only if William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('lying', 2)))", "index": 436}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Emily, David, and Charlotte. Liam noted, \"David is a knight if and only if Emily is a knight\". \"Liam is a knight or Charlotte is a knave,\" Emily claimed. \"Charlotte is not a knave\" - David. Charlotte asserted: \"If Emily is a knight then Liam is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Emily", "David", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Liam is a knave, Emily is a knave, David is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Emily is a knave\n(3) David is a knight\n(4) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that David is a knight if and only if Emily is a knight.", "Assume David is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Emily is a knight then Liam is a knave.", "Emily cannot be a knight, because this would contradict the claim of Charlotte that If Emily is a knight then Liam is a knave.", "Emily cannot be a knave, because this would contradict the claim of Liam that David is a knight if and only if Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of David that Charlotte is not a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Charlotte is not a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of David that Charlotte is not a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Emily is a knight then Liam is a knave.", "Emily cannot be a knight, because this would contradict the claim of Liam that David is a knight if and only if Emily is a knight.", "Emily cannot be a knave, because this would contradict the false claim of their own that Liam is a knight or Charlotte is a knave.", "We have exhausted all possibilities for Emily, Charlotte, and David, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that David is a knight if and only if Emily is a knight.", "Assume David is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Emily is a knight then Liam is a knave.", "Emily cannot be a knight, because this would contradict the false claim of Liam that David is a knight if and only if Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Liam is a knight or Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 3)), ('not', ('lying', 3)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 437}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Luke, Jackson, and Harper. Aiden remarked, \"Jackson is a knight or Luke is a knight\". Luke asserted: \"Harper is not a knave\". Jackson expressed that Aiden is a knave and Jackson is a knight. As Harper put it, \"Jackson is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Luke", "Jackson", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Aiden is a knight, Luke is a knight, Jackson is a knave, and Harper is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Luke is a knight\n(3) Jackson is a knave\n(4) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Jackson is a knight or Luke is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Aiden is a knave and Jackson is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 2)), ('lying', 2))", "index": 438}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, Aiden, Jack, and Charlotte. Sebastian said that Charlotte is a knight or Charlotte is a knave. Aiden said that Jack is a knave. \"Charlotte is a knight and Aiden is a knight,\" Jack declared. Charlotte stated, \"Jack is a knight if and only if Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Aiden", "Jack", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Sebastian is a knight, Aiden is a knight, Jack is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Sebastian is a knight\n(2) Aiden is a knight\n(3) Jack is a knave\n(4) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Charlotte is a knight or Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Jack is a knight if and only if Sebastian is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Charlotte is a knight and Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Jack is a knave.", "Aiden cannot be a knave, because this would contradict the claim of Jack that Charlotte is a knight and Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Charlotte that Jack is a knight if and only if Sebastian is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Sebastian is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight and Aiden is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Charlotte is a knight and Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 3)), ('lying', 2), ('and', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "index": 439}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Oliver, Charlotte, and Grace. Liam told you that If Charlotte is a knave then Liam is a knight. \"Charlotte is a knight if and only if Grace is a knave,\" Oliver mentioned. Charlotte noted, \"Oliver is a knave or Charlotte is a knight\". According to Grace, \"Charlotte is not a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Oliver", "Charlotte", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Liam is a knight, Oliver is a knave, Charlotte is a knight, and Grace is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Oliver is a knave\n(3) Charlotte is a knight\n(4) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that If Charlotte is a knave then Liam is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Oliver is a knave or Charlotte is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Oliver that Charlotte is a knight if and only if Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of their own that Charlotte is not a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Charlotte is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('or', ('lying', 1), ('telling-truth', 2)), ('not', ('lying', 2)))", "index": 440}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Evelyn, Emma, and Liam. According to Olivia, \"Evelyn is a knave\". \"If Olivia is a knave then Evelyn is a knight\" - Evelyn. \"Liam is a knight,\" Emma declared. In a statement by Liam: \"Olivia is a knave or Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Evelyn", "Emma", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Olivia is a knave, Evelyn is a knight, Emma is a knight, and Liam is a knight.", "solution_text_format": "(1) Olivia is a knave\n(2) Evelyn is a knight\n(3) Emma is a knight\n(4) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Olivia that Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that If Olivia is a knave then Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Olivia is a knave then Evelyn is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Olivia is a knave or Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('lying', 0), ('telling-truth', 1)), ('telling-truth', 3), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 441}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Ethan, Harper, and Penelope. Emily asserted: \"Penelope is a knight\". Ethan told you that Ethan is a knight and Harper is a knight. As Harper put it, \"Ethan is not a knight\". \"Ethan is a knight,\" Penelope mentioned. So who is a knight and who is a knave?", "names": ["Emily", "Ethan", "Harper", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Emily is a knave, Ethan is a knave, Harper is a knight, and Penelope is a knave.", "solution_text_format": "(1) Emily is a knave\n(2) Ethan is a knave\n(3) Harper is a knight\n(4) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight and Harper is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Ethan is not a knight.", "Harper cannot be a knave, because this would contradict the claim of Ethan that Ethan is a knight and Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the claim of Penelope that Ethan is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the claim of Emily that Penelope is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Emily that Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Penelope that Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Ethan is a knight and Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Ethan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('telling-truth', 1)), ('telling-truth', 1))", "index": 442}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Charlotte, Owen, and Matthew. In a statement by Liam: \"If Matthew is a knight then Liam is a knight\". As Charlotte put it, \"Liam is a knave if and only if Matthew is a knight\". Owen told you that Owen is a knight and Matthew is a knave. According to Matthew, \"Liam is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Charlotte", "Owen", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Liam is a knight, Charlotte is a knave, Owen is a knave, and Matthew is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Charlotte is a knave\n(3) Owen is a knave\n(4) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that If Matthew is a knight then Liam is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Liam is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Liam is a knave if and only if Matthew is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Matthew is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Owen is a knight and Matthew is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Owen is a knight and Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('lying', 3)), ('telling-truth', 0))", "index": 443}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Abigail, Olivia, and Henry. Grace asserted: \"Abigail is a knight if and only if Henry is a knave\". Abigail stated, \"Olivia is a knave or Abigail is a knight\". As Olivia put it, \"If Grace is a knave then Henry is a knight\". Henry expressed that Abigail is not a knave. So who is a knight and who is a knave?", "names": ["Grace", "Abigail", "Olivia", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Grace is a knave, Abigail is a knight, Olivia is a knight, and Henry is a knight.", "solution_text_format": "(1) Grace is a knave\n(2) Abigail is a knight\n(3) Olivia is a knight\n(4) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Abigail is a knight if and only if Henry is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Olivia is a knave or Abigail is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Grace is a knave then Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of Grace that Abigail is a knight if and only if Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Abigail is not a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the false claim of their own that If Grace is a knave then Henry is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Olivia is a knave or Abigail is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Grace is a knave then Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Abigail is not a knave.", "Henry cannot be a knave, because this would contradict the claim of Grace that Abigail is a knight if and only if Henry is a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the false claim of Abigail that Olivia is a knave or Abigail is a knight.", "We have exhausted all possibilities for Olivia and Abigail, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Henry is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Olivia is a knave or Abigail is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Grace is a knave then Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Abigail is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 3)), ('or', ('lying', 2), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 3)), ('not', ('lying', 1)))", "index": 444}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, Aiden, Matthew, and Abigail. Avery asserted: \"Matthew is a knight and Abigail is a knight\". Aiden expressed that Abigail is a knave. Matthew asserted: \"Abigail is a knave and Aiden is a knight\". Abigail said that Avery is a knight. So who is a knight and who is a knave?", "names": ["Avery", "Aiden", "Matthew", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Avery is a knave, Aiden is a knight, Matthew is a knight, and Abigail is a knave.", "solution_text_format": "(1) Avery is a knave\n(2) Aiden is a knight\n(3) Matthew is a knight\n(4) Abigail is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Matthew is a knight and Abigail is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Abigail is a knave and Aiden is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Matthew that Abigail is a knave and Aiden is a knight.", "Abigail cannot be a knave, because this would contradict the claim of Avery that Matthew is a knight and Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the claim of Avery that Matthew is a knight and Abigail is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Matthew is a knight and Abigail is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Abigail is a knave and Aiden is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Avery that Matthew is a knight and Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Avery is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 3)), ('lying', 3), ('and', ('lying', 3), ('telling-truth', 1)), ('telling-truth', 0))", "index": 445}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Olivia, Charlotte, and Sophia. Elizabeth commented, \"Sophia is not a knave\". In a statement by Olivia: \"Elizabeth is a knight or Sophia is a knight\". Charlotte remarked, \"If Olivia is a knight then Elizabeth is a knave\". \"Olivia is a knave or Olivia is a knight,\" Sophia declared. So who is a knight and who is a knave?", "names": ["Elizabeth", "Olivia", "Charlotte", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Elizabeth is a knight, Olivia is a knight, Charlotte is a knave, and Sophia is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Olivia is a knight\n(3) Charlotte is a knave\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Olivia is a knave or Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Elizabeth is a knight or Sophia is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that If Olivia is a knight then Elizabeth is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Olivia is a knight then Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 1)))", "index": 446}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Grace, Logan, and Lucas. James remarked, \"If Logan is a knave then Grace is a knave\". \"James is a knave and Logan is a knight,\" Grace claimed. Logan noted, \"James is a knave\". Lucas commented, \"If Logan is a knight then Logan is a knave\". So who is a knight and who is a knave?", "names": ["James", "Grace", "Logan", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "James is a knight, Grace is a knave, Logan is a knave, and Lucas is a knight.", "solution_text_format": "(1) James is a knight\n(2) Grace is a knave\n(3) Logan is a knave\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that If Logan is a knave then Grace is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that James is a knave.", "Grace cannot be a knight, because this would contradict the claim of James that If Logan is a knave then Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that James is a knave and Logan is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Logan is a knight then Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 2)), ('lying', 0), ('->', ('telling-truth', 2), ('lying', 2)))", "index": 447}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Riley, Sebastian, and James. Ava was heard saying, \"James is a knave or James is a knight\". Riley told you that Sebastian is a knave if and only if James is a knave. According to Sebastian, \"Ava is a knave\". James was heard saying, \"Sebastian is not a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Riley", "Sebastian", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Ava is a knight, Riley is a knight, Sebastian is a knave, and James is a knave.", "solution_text_format": "(1) Ava is a knight\n(2) Riley is a knight\n(3) Sebastian is a knave\n(4) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that James is a knave or James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Ava is a knave.", "Sebastian cannot be a knave, because this would contradict the claim of James that Sebastian is not a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Ava is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Ava is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 3)), ('<=>', ('lying', 2), ('lying', 3)), ('lying', 0), ('not', ('lying', 2)))", "index": 448}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Liam, Sophia, and Benjamin. Luke told you that Benjamin is a knight if and only if Liam is a knave. \"Benjamin is a knight if and only if Sophia is a knight,\" Liam claimed. As Sophia put it, \"Benjamin is a knave if and only if Sophia is a knight\". \"Liam is a knight and Sophia is a knave,\" Benjamin mentioned. So who is a knight and who is a knave?", "names": ["Luke", "Liam", "Sophia", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Luke is a knave, Liam is a knave, Sophia is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Liam is a knave\n(3) Sophia is a knight\n(4) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Liam is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Liam is a knight and Sophia is a knave.", "Liam cannot be a knight, because this would contradict the claim of Luke that Benjamin is a knight if and only if Liam is a knave.", "Liam cannot be a knave, because this would contradict the claim of Benjamin that Liam is a knight and Sophia is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Liam is a knight and Sophia is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Liam that Benjamin is a knight if and only if Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of Benjamin that Liam is a knight and Sophia is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Luke that Benjamin is a knight if and only if Liam is a knave.", "We have exhausted all possibilities for Liam and Benjamin, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Liam is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Liam is a knight and Sophia is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave if and only if Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the claim of Liam that Benjamin is a knight if and only if Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the false claim of Luke that Benjamin is a knight if and only if Liam is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Liam is a knight and Sophia is a knave.", "Liam cannot be a knight, because this would contradict the false claim of Luke that Benjamin is a knight if and only if Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('lying', 3), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 2)))", "index": 449}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Penelope, David, and Ethan. As Liam put it, \"Penelope is not a knight\". \"If Penelope is a knight then Liam is a knave,\" Penelope claimed. David stated, \"Penelope is a knave and Ethan is a knave\". Ethan commented, \"David is a knave or Liam is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Penelope", "David", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Liam is a knave, Penelope is a knight, David is a knave, and Ethan is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Penelope is a knight\n(3) David is a knave\n(4) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Penelope is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of Liam that Penelope is not a knight.", "Penelope cannot be a knave, because this would contradict the false claim of their own that If Penelope is a knight then Liam is a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Penelope is not a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Penelope is a knight then Liam is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Ethan is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Penelope is a knave and Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that David is a knave or Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 0)), ('and', ('lying', 1), ('lying', 3)), ('or', ('lying', 2), ('telling-truth', 0)))", "index": 450}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Michael, Aurora, and Emily. According to Ethan, \"Emily is a knave\". \"Aurora is a knave,\" Michael mentioned. \"Michael is a knave and Ethan is a knave,\" Aurora claimed. \"Michael is a knight,\" Emily mentioned. So who is a knight and who is a knave?", "names": ["Ethan", "Michael", "Aurora", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Ethan is a knave, Michael is a knight, Aurora is a knave, and Emily is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Michael is a knight\n(3) Aurora is a knave\n(4) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Ethan that Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Michael is a knight.", "Michael cannot be a knight, because this would contradict the false claim of Emily that Michael is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Ethan is a knave.", "Aurora cannot be a knave, because this would contradict the false claim of Michael that Aurora is a knave.", "We have exhausted all possibilities for Aurora, Michael, and Emily, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Michael that Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Michael is a knave and Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('lying', 2), ('and', ('lying', 1), ('lying', 0)), ('telling-truth', 1))", "index": 451}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Charlotte, Sebastian, and Alexander. Lily asserted: \"Alexander is a knight\". \"If Lily is a knight then Lily is a knave\" - Charlotte. Sebastian said that If Alexander is a knight then Charlotte is a knave. Alexander said that If Sebastian is a knave then Lily is a knight. So who is a knight and who is a knave?", "names": ["Lily", "Charlotte", "Sebastian", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Lily is a knight, Charlotte is a knave, Sebastian is a knight, and Alexander is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Charlotte is a knave\n(3) Sebastian is a knight\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Sebastian is a knave then Lily is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Alexander is a knight then Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that If Lily is a knight then Lily is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Lily is a knight then Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('->', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 3), ('lying', 1)), ('->', ('lying', 2), ('telling-truth', 0)))", "index": 452}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Scarlett, Ava, and Logan. Aria stated, \"Scarlett is a knave if and only if Ava is a knave\". In a statement by Scarlett: \"Aria is not a knight\". Ava commented, \"Scarlett is not a knight\". Logan said, \"Scarlett is not a knave.\" So who is a knight and who is a knave?", "names": ["Aria", "Scarlett", "Ava", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Aria is a knave, Scarlett is a knight, Ava is a knave, and Logan is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Scarlett is a knight\n(3) Ava is a knave\n(4) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Ava is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Aria is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Aria is not a knight.", "Ava cannot be a knight, because this would contradict the claim of Aria that Scarlett is a knave if and only if Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Scarlett is not a knight.", "We have exhausted all possibilities for Ava and Scarlett, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Ava is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Aria is not a knight.", "Ava cannot be a knight, because this would contradict the false claim of Aria that Scarlett is a knave if and only if Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Scarlett is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 1)), ('not', ('lying', 1)))", "index": 453}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Evelyn, Aria, and Lucas. \"Lucas is a knight and Evelyn is a knave,\" Ethan declared. Evelyn expressed that Lucas is a knave if and only if Ethan is a knight. Aria asserted: \"Evelyn is a knight or Evelyn is a knave\". Lucas remarked, \"Evelyn is not a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Evelyn", "Aria", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Ethan is a knight, Evelyn is a knave, Aria is a knight, and Lucas is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Evelyn is a knave\n(3) Aria is a knight\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Lucas is a knight and Evelyn is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Evelyn is not a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Ethan that Lucas is a knight and Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Ethan is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Evelyn is a knight or Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 1)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 1)), ('not', ('telling-truth', 1)))", "index": 454}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, David, Samuel, and Scarlett. \"Scarlett is a knight\" - Avery. \"Samuel is a knight and Scarlett is a knight,\" David claimed. Samuel said, \"Avery is a knave or Scarlett is a knight.\" \"If Avery is a knight then Scarlett is a knight,\" Scarlett declared. So who is a knight and who is a knave?", "names": ["Avery", "David", "Samuel", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Avery is a knight, David is a knight, Samuel is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) David is a knight\n(3) Samuel is a knight\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Avery is a knight then Scarlett is a knight.", "Assume David is a knight. No contradiction is found in their claim that Samuel is a knight and Scarlett is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Avery is a knave or Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('lying', 0), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('telling-truth', 3)))", "index": 455}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aurora, Mason, Mia, and Victoria. According to Aurora, \"Mason is a knave and Aurora is a knight\". Mason expressed that Mia is not a knave. Mia asserted: \"If Victoria is a knave then Mason is a knight\". \"Mason is a knave,\" Victoria mentioned. So who is a knight and who is a knave?", "names": ["Aurora", "Mason", "Mia", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Aurora is a knave, Mason is a knight, Mia is a knight, and Victoria is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) Mason is a knight\n(3) Mia is a knight\n(4) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Mason is a knave and Aurora is a knight.", "Mason cannot be a knight, because this would contradict the claim of Aurora that Mason is a knave and Aurora is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Mia is not a knave.", "Mia cannot be a knight, because this would contradict the false claim of Mason that Mia is not a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that If Victoria is a knave then Mason is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Mia that If Victoria is a knave then Mason is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Mason is a knave.", "We have exhausted all possibilities for Victoria, Mia, and Mason, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Mason is a knave and Aurora is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Mia is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If Victoria is a knave then Mason is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Mason is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('not', ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 1)), ('lying', 1))", "index": 456}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Logan, Owen, and Jacob. Penelope told you that Logan is a knight and Logan is a knave. Logan remarked, \"Penelope is not a knight\". Owen stated, \"Penelope is a knave or Logan is a knight\". According to Jacob, \"If Logan is a knave then Owen is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Logan", "Owen", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Penelope is a knave, Logan is a knight, Owen is a knight, and Jacob is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Logan is a knight\n(3) Owen is a knight\n(4) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Penelope cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Logan is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Logan is a knight and Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Penelope is not a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Penelope is a knave or Logan is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Logan is a knave then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('not', ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 457}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, Victoria, Olivia, and Emily. Avery said, \"Olivia is not a knight.\" Victoria expressed that Emily is a knave and Olivia is a knave. According to Olivia, \"If Emily is a knave then Victoria is a knave\". Emily stated, \"Olivia is a knave or Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Victoria", "Olivia", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Avery is a knave, Victoria is a knave, Olivia is a knight, and Emily is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Victoria is a knave\n(3) Olivia is a knight\n(4) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Olivia is not a knight.", "Olivia cannot be a knight, because this would contradict the claim of Avery that Olivia is not a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Emily is a knave then Victoria is a knave.", "Emily cannot be a knight, because this would contradict the false claim of Olivia that If Emily is a knave then Victoria is a knave.", "Emily cannot be a knave, because this would contradict the false claim of their own that Olivia is a knave or Olivia is a knight.", "We have exhausted all possibilities for Emily and Olivia, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Olivia is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Emily is a knave then Victoria is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Olivia is a knave or Olivia is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Emily is a knave and Olivia is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Emily is a knave and Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('and', ('lying', 3), ('lying', 2)), ('->', ('lying', 3), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 2)))", "index": 458}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Noah, Evelyn, and Riley. In a statement by Elizabeth: \"If Noah is a knight then Riley is a knight\". In Noah's words: \"Riley is a knight or Riley is a knave\". Evelyn said, \"Noah is not a knave.\" In Riley's words: \"Evelyn is a knave and Noah is a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Noah", "Evelyn", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Elizabeth is a knave, Noah is a knight, Evelyn is a knight, and Riley is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Noah is a knight\n(3) Evelyn is a knight\n(4) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that If Noah is a knight then Riley is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Riley is a knight or Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave and Noah is a knave.", "Riley cannot be a knave, because this would contradict the claim of Elizabeth that If Noah is a knight then Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the false claim of their own that Riley is a knight or Riley is a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Noah is a knight then Riley is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Riley is a knight or Riley is a knave.", "Riley cannot be a knight, because this would contradict the false claim of Elizabeth that If Noah is a knight then Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Evelyn is a knave and Noah is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Noah is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 3), ('lying', 3)), ('not', ('lying', 1)), ('and', ('lying', 2), ('lying', 1)))", "index": 459}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Avery, Riley, and William. Isabella told you that William is a knave or Riley is a knave. Avery said, \"William is not a knave.\" \"Riley is a knight and William is a knave,\" Riley declared. \"If William is a knight then Riley is a knave,\" William mentioned. So who is a knight and who is a knave?", "names": ["Isabella", "Avery", "Riley", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Isabella is a knight, Avery is a knight, Riley is a knave, and William is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Avery is a knight\n(3) Riley is a knave\n(4) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that William is a knave or Riley is a knave.", "Assume William is a knight. No contradiction is found in their claim that If William is a knight then Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Isabella that William is a knave or Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Riley is a knight and William is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that William is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 2)), ('not', ('lying', 3)), ('and', ('telling-truth', 2), ('lying', 3)), ('->', ('telling-truth', 3), ('lying', 2)))", "index": 460}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Sophia, Victoria, and Logan. Harper said, \"If Logan is a knave then Sophia is a knight.\" \"Logan is a knave or Harper is a knight,\" Sophia declared. Victoria commented, \"Harper is a knave\". In Logan's words: \"Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Sophia", "Victoria", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Harper is a knight, Sophia is a knight, Victoria is a knave, and Logan is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Sophia is a knight\n(3) Victoria is a knave\n(4) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that If Logan is a knave then Sophia is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Logan is a knave or Harper is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Harper is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 1)), ('or', ('lying', 3), ('telling-truth', 0)), ('lying', 0), ('telling-truth', 1))", "index": 461}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Lily, Penelope, and Chloe. As James put it, \"If Lily is a knight then Penelope is a knight\". In Lily's words: \"James is a knight and Penelope is a knight\". Penelope remarked, \"If Chloe is a knight then Lily is a knight\". In Chloe's words: \"Penelope is a knave if and only if Penelope is a knight\". So who is a knight and who is a knave?", "names": ["James", "Lily", "Penelope", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "James is a knight, Lily is a knight, Penelope is a knight, and Chloe is a knave.", "solution_text_format": "(1) James is a knight\n(2) Lily is a knight\n(3) Penelope is a knight\n(4) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that If Lily is a knight then Penelope is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that James is a knight and Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Chloe is a knight then Lily is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Penelope is a knave if and only if Penelope is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Penelope is a knave if and only if Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 2)))", "index": 462}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Jack, Henry, and Owen. \"If Zoey is a knight then Henry is a knave,\" Zoey declared. In a statement by Jack: \"Zoey is a knight\". Henry expressed that Henry is a knight if and only if Zoey is a knight. \"Henry is a knight or Jack is a knave,\" Owen declared. So who is a knight and who is a knave?", "names": ["Zoey", "Jack", "Henry", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Zoey is a knight, Jack is a knight, Henry is a knave, and Owen is a knave.", "solution_text_format": "(1) Zoey is a knight\n(2) Jack is a knight\n(3) Henry is a knave\n(4) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that If Zoey is a knight then Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Zoey that If Zoey is a knight then Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Zoey is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Zoey is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Henry is a knight or Jack is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Henry is a knight or Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 0), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 1)))", "index": 463}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Scarlett, Mia, and Noah. Charlotte remarked, \"If Noah is a knight then Scarlett is a knight\". Scarlett noted, \"Noah is a knave and Mia is a knave\". As Mia put it, \"Scarlett is a knight if and only if Charlotte is a knave\". \"Mia is not a knave\" - Noah. So who is a knight and who is a knave?", "names": ["Charlotte", "Scarlett", "Mia", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Charlotte is a knight, Scarlett is a knight, Mia is a knave, and Noah is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Scarlett is a knight\n(3) Mia is a knave\n(4) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that If Noah is a knight then Scarlett is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Mia is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Charlotte is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Mia is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Charlotte that If Noah is a knight then Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Noah that Mia is not a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Mia is not a knave.", "Mia cannot be a knight, because this would contradict the false claim of Noah that Mia is not a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Charlotte is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Noah is a knave and Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('lying', 3), ('lying', 2)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('not', ('lying', 2)))", "index": 464}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Mia, Joseph, and Avery. \"If Avery is a knave then Avery is a knight\" - Isabella. Mia remarked, \"Avery is a knight and Isabella is a knight\". Joseph told you that Mia is not a knave. \"If Joseph is a knave then Isabella is a knave\" - Avery. So who is a knight and who is a knave?", "names": ["Isabella", "Mia", "Joseph", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Isabella is a knight, Mia is a knight, Joseph is a knight, and Avery is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Mia is a knight\n(3) Joseph is a knight\n(4) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that If Avery is a knave then Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Joseph is a knave then Isabella is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Mia is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Avery is a knight and Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('not', ('lying', 1)), ('->', ('lying', 2), ('lying', 0)))", "index": 465}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Emma, Owen, and Ava. In Aria's words: \"Emma is a knave\". As Emma put it, \"Owen is a knave\". Owen said that Owen is a knight if and only if Emma is a knave. Ava remarked, \"Emma is a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Emma", "Owen", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Aria is a knight, Emma is a knave, Owen is a knight, and Ava is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Emma is a knave\n(3) Owen is a knight\n(4) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Aria that Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight if and only if Emma is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('lying', 2), ('<=>', ('telling-truth', 2), ('lying', 1)), ('lying', 1))", "index": 466}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Joseph, Ava, and Lucas. Alexander said, \"Joseph is a knight.\" Joseph remarked, \"Ava is a knave if and only if Lucas is a knave\". Ava commented, \"Joseph is not a knave\". \"Alexander is a knight or Ava is a knight,\" Lucas declared. So who is a knight and who is a knave?", "names": ["Alexander", "Joseph", "Ava", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Alexander is a knight, Joseph is a knight, Ava is a knight, and Lucas is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Joseph is a knight\n(3) Ava is a knight\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Ava is a knave if and only if Lucas is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Alexander is a knight or Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('lying', 2), ('lying', 3)), ('not', ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 2)))", "index": 467}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, William, Amelia, and Olivia. Jack stated, \"If William is a knave then Amelia is a knave\". As William put it, \"If William is a knight then Jack is a knight\". Amelia stated, \"Olivia is a knight if and only if Olivia is a knave\". Olivia remarked, \"Amelia is a knight or Jack is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "William", "Amelia", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Jack is a knight, William is a knight, Amelia is a knave, and Olivia is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) William is a knight\n(3) Amelia is a knave\n(4) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that If William is a knave then Amelia is a knave.", "Assume William is a knight. No contradiction is found in their claim that If William is a knight then Jack is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Olivia is a knight if and only if Olivia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Amelia is a knight or Jack is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Amelia is a knight or Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('or', ('telling-truth', 2), ('lying', 0)))", "index": 468}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Owen, Penelope, and Alexander. According to Lily, \"Penelope is not a knave\". \"Lily is a knave,\" Owen mentioned. According to Penelope, \"Lily is a knave if and only if Owen is a knight\". \"If Lily is a knave then Penelope is a knave,\" Alexander declared. So who is a knight and who is a knave?", "names": ["Lily", "Owen", "Penelope", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Lily is a knight, Owen is a knave, Penelope is a knight, and Alexander is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Owen is a knave\n(3) Penelope is a knight\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Penelope is not a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Lily is a knave if and only if Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Lily is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Lily is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Lily is a knave then Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('lying', 0), ('<=>', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 0), ('lying', 2)))", "index": 469}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Jacob, Daniel, and Lily. Emma told you that Daniel is not a knave. Jacob remarked, \"Lily is a knave and Lily is a knight\". Daniel said that Emma is a knave if and only if Daniel is a knight. Lily said that Jacob is a knave. So who is a knight and who is a knave?", "names": ["Emma", "Jacob", "Daniel", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Emma is a knave, Jacob is a knave, Daniel is a knave, and Lily is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) Jacob is a knave\n(3) Daniel is a knave\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Daniel is not a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Emma is a knave if and only if Daniel is a knight.", "Daniel cannot be a knave, because this would contradict the claim of Emma that Daniel is not a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Daniel is not a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Emma that Daniel is not a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Daniel is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Lily is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Lily is a knave and Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('and', ('lying', 3), ('telling-truth', 3)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('lying', 1))", "index": 470}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, Joseph, Sofia, and Penelope. \"Sofia is not a knave,\" Abigail claimed. Joseph remarked, \"If Penelope is a knight then Sofia is a knave\". \"If Joseph is a knave then Penelope is a knave,\" Sofia claimed. \"Abigail is a knave,\" Penelope claimed. So who is a knight and who is a knave?", "names": ["Abigail", "Joseph", "Sofia", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Abigail is a knight, Joseph is a knight, Sofia is a knight, and Penelope is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Joseph is a knight\n(3) Sofia is a knight\n(4) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Sofia is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Joseph is a knave then Penelope is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that If Penelope is a knight then Sofia is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Joseph that If Penelope is a knight then Sofia is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('->', ('telling-truth', 3), ('lying', 2)), ('->', ('lying', 1), ('lying', 3)), ('lying', 0))", "index": 471}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Charlotte, Emma, and David. \"Charlotte is a knave or Aria is a knight,\" Aria claimed. \"Emma is not a knave,\" Charlotte claimed. In a statement by Emma: \"Aria is not a knave\". David told you that Emma is a knave. So who is a knight and who is a knave?", "names": ["Aria", "Charlotte", "Emma", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Aria is a knight, Charlotte is a knight, Emma is a knight, and David is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Charlotte is a knight\n(3) Emma is a knight\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Charlotte is a knave or Aria is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Emma is not a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Aria is not a knave.", "David cannot be a knight, because this would contradict the claim of their own that Emma is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('not', ('lying', 2)), ('not', ('lying', 0)), ('lying', 2))", "index": 472}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Sebastian, Aria, and Daniel. In a statement by Isabella: \"Aria is a knight and Sebastian is a knight\". Sebastian expressed that Daniel is not a knave. Aria said, \"Sebastian is a knave or Sebastian is a knight.\" Daniel told you that Isabella is a knight and Aria is a knave. So who is a knight and who is a knave?", "names": ["Isabella", "Sebastian", "Aria", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Isabella is a knave, Sebastian is a knave, Aria is a knight, and Daniel is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) Sebastian is a knave\n(3) Aria is a knight\n(4) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Aria is a knight and Sebastian is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Sebastian is a knave or Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Daniel is not a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and Aria is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Sebastian that Daniel is not a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the claim of Isabella that Aria is a knight and Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Isabella that Aria is a knight and Sebastian is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Aria is a knight and Sebastian is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Sebastian is a knave or Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Isabella that Aria is a knight and Sebastian is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Daniel is not a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Sebastian that Daniel is not a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Isabella is a knight and Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('lying', 3)), ('or', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 2)))", "index": 473}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Charlotte, Chloe, and Ava. According to Evelyn, \"Charlotte is not a knight\". \"Evelyn is a knave if and only if Charlotte is a knight\" - Charlotte. \"Evelyn is a knight or Charlotte is a knave\" - Chloe. \"If Charlotte is a knight then Charlotte is a knave,\" Ava declared. So who is a knight and who is a knave?", "names": ["Evelyn", "Charlotte", "Chloe", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Evelyn is a knave, Charlotte is a knight, Chloe is a knave, and Ava is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Charlotte is a knight\n(3) Chloe is a knave\n(4) Ava is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Charlotte is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Evelyn that Charlotte is not a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knave if and only if Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Charlotte is not a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Evelyn is a knave if and only if Charlotte is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight or Charlotte is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Evelyn is a knight or Charlotte is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that If Charlotte is a knight then Charlotte is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that If Charlotte is a knight then Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 474}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Sebastian, Ethan, and Olivia. \"If Sebastian is a knight then Olivia is a knave\" - Noah. Sebastian expressed that Noah is a knave. Ethan stated, \"If Noah is a knight then Sebastian is a knight\". According to Olivia, \"Sebastian is a knave if and only if Noah is a knave\". So who is a knight and who is a knave?", "names": ["Noah", "Sebastian", "Ethan", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Noah is a knight, Sebastian is a knave, Ethan is a knave, and Olivia is a knave.", "solution_text_format": "(1) Noah is a knight\n(2) Sebastian is a knave\n(3) Ethan is a knave\n(4) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that If Sebastian is a knight then Olivia is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Noah is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Noah is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave if and only if Noah is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Sebastian is a knave if and only if Noah is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that If Noah is a knight then Sebastian is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Noah is a knight then Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 3)), ('lying', 0), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 1), ('lying', 0)))", "index": 475}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, David, Sebastian, and Owen. Benjamin told you that Benjamin is a knight if and only if David is a knight. David said, \"Owen is a knave if and only if Sebastian is a knave.\" Sebastian said that Owen is a knight and Benjamin is a knight. Owen said that Benjamin is a knight or Benjamin is a knave. So who is a knight and who is a knave?", "names": ["Benjamin", "David", "Sebastian", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Benjamin is a knight, David is a knight, Sebastian is a knight, and Owen is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) David is a knight\n(3) Sebastian is a knight\n(4) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Owen is a knave if and only if Sebastian is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Benjamin is a knight or Benjamin is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Owen is a knight and Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 3), ('lying', 2)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 476}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Evelyn, Joseph, and Liam. In James's words: \"If Liam is a knight then Liam is a knave\". Evelyn said, \"Liam is not a knight.\" Joseph told you that If Evelyn is a knight then Liam is a knight. Liam asserted: \"Evelyn is a knave if and only if Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["James", "Evelyn", "Joseph", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "James is a knight, Evelyn is a knight, Joseph is a knave, and Liam is a knave.", "solution_text_format": "(1) James is a knight\n(2) Evelyn is a knight\n(3) Joseph is a knave\n(4) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that If Liam is a knight then Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of James that If Liam is a knight then Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Liam is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that If Evelyn is a knight then Liam is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 3)), ('not', ('telling-truth', 3)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "index": 477}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Daniel, Evelyn, and Joseph. Michael said that Evelyn is a knight. Daniel told you that Joseph is a knave or Michael is a knight. Evelyn commented, \"Daniel is a knight or Joseph is a knave\". Joseph remarked, \"If Joseph is a knight then Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Daniel", "Evelyn", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Michael is a knight, Daniel is a knight, Evelyn is a knight, and Joseph is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Daniel is a knight\n(3) Evelyn is a knight\n(4) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Daniel is a knight or Joseph is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Joseph is a knave or Michael is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Joseph is a knight then Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('or', ('lying', 3), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 3)), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 478}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Amelia, Abigail, and William. In a statement by Sofia: \"Abigail is a knave or William is a knight\". \"Sofia is a knight,\" Amelia mentioned. Abigail said, \"If William is a knave then Sofia is a knight.\" \"William is a knight or Amelia is a knight,\" William declared. So who is a knight and who is a knave?", "names": ["Sofia", "Amelia", "Abigail", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Sofia is a knight, Amelia is a knight, Abigail is a knight, and William is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Amelia is a knight\n(3) Abigail is a knight\n(4) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Abigail is a knave or William is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If William is a knave then Sofia is a knight.", "Assume William is a knight. No contradiction is found in their claim that William is a knight or Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 3)), ('telling-truth', 0), ('->', ('lying', 3), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('telling-truth', 1)))", "index": 479}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Ava, Lucas, and Aurora. Olivia stated, \"Aurora is a knight or Ava is a knight\". \"If Lucas is a knight then Olivia is a knave,\" Ava claimed. Lucas said, \"Aurora is not a knave.\" Aurora said that Lucas is a knight or Lucas is a knave. So who is a knight and who is a knave?", "names": ["Olivia", "Ava", "Lucas", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Olivia is a knight, Ava is a knave, Lucas is a knight, and Aurora is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Ava is a knave\n(3) Lucas is a knight\n(4) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Aurora is a knight or Ava is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Lucas is a knight or Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that If Lucas is a knight then Olivia is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that If Lucas is a knight then Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 0)), ('not', ('lying', 3)), ('or', ('telling-truth', 2), ('lying', 2)))", "index": 480}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Ethan, Emily, and Victoria. \"Victoria is a knight if and only if Emily is a knave,\" David declared. According to Ethan, \"David is not a knight\". Emily expressed that Emily is a knight and Ethan is a knave. In Victoria's words: \"Emily is a knight\". So who is a knight and who is a knave?", "names": ["David", "Ethan", "Emily", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "David is a knave, Ethan is a knight, Emily is a knave, and Victoria is a knave.", "solution_text_format": "(1) David is a knave\n(2) Ethan is a knight\n(3) Emily is a knave\n(4) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Emily is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Emily is a knight.", "Emily cannot be a knight, because this would contradict the claim of David that Victoria is a knight if and only if Emily is a knave.", "Emily cannot be a knave, because this would contradict the claim of Victoria that Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Emily is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Victoria that Emily is a knight.", "Emily cannot be a knave, because this would contradict the claim of David that Victoria is a knight if and only if Emily is a knave.", "We have exhausted all possibilities for Emily and Victoria, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Emily is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight and Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Emily that Emily is a knight and Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of their own that David is not a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the false claim of David that Victoria is a knight if and only if Emily is a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Emily is a knight.", "Emily cannot be a knight, because this would contradict the false claim of David that Victoria is a knight if and only if Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Emily is a knight and Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that David is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 2), ('lying', 1)), ('telling-truth', 2))", "index": 481}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Evelyn, Emily, and Noah. Chloe noted, \"Noah is a knight and Evelyn is a knave\". In Evelyn's words: \"Noah is a knight\". \"Chloe is a knave if and only if Chloe is a knight,\" Emily mentioned. \"Emily is not a knave,\" Noah claimed. So who is a knight and who is a knave?", "names": ["Chloe", "Evelyn", "Emily", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Chloe is a knave, Evelyn is a knave, Emily is a knave, and Noah is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Evelyn is a knave\n(3) Emily is a knave\n(4) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Noah is a knight and Evelyn is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Emily is not a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Chloe is a knight.", "Emily cannot be a knave, because this would contradict the claim of Noah that Emily is not a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the claim of Chloe that Noah is a knight and Evelyn is a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Noah is a knight and Evelyn is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Emily is not a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Chloe is a knight.", "Emily cannot be a knave, because this would contradict the claim of Noah that Emily is not a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Emily is not a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Chloe is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Chloe is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Noah is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 1)), ('telling-truth', 3), ('<=>', ('lying', 0), ('telling-truth', 0)), ('not', ('lying', 2)))", "index": 482}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Sophia, Isabella, and Liam. Chloe asserted: \"If Sophia is a knight then Liam is a knight\". Sophia stated, \"Chloe is a knave and Isabella is a knight\". Isabella remarked, \"Sophia is a knave or Chloe is a knight\". Liam stated, \"Isabella is a knight and Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Sophia", "Isabella", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Chloe is a knight, Sophia is a knave, Isabella is a knight, and Liam is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Sophia is a knave\n(3) Isabella is a knight\n(4) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that If Sophia is a knight then Liam is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Chloe is a knave and Isabella is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Chloe is a knave and Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Sophia is a knave or Chloe is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Isabella is a knight and Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('lying', 0), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('lying', 1)))", "index": 483}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Oliver, Jack, and Grace. Sofia said, \"Grace is not a knave.\" In a statement by Oliver: \"Grace is a knave if and only if Jack is a knave\". Jack was heard saying, \"Jack is a knight if and only if Oliver is a knight\". Grace stated, \"Oliver is a knave and Jack is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Oliver", "Jack", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Sofia is a knave, Oliver is a knight, Jack is a knave, and Grace is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Oliver is a knight\n(3) Jack is a knave\n(4) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Oliver is a knave and Jack is a knight.", "Oliver cannot be a knight, because this would contradict the claim of Grace that Oliver is a knave and Jack is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Jack is a knave.", "Jack cannot be a knight, because this would contradict the false claim of Oliver that Grace is a knave if and only if Jack is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that Jack is a knight if and only if Oliver is a knight.", "We have exhausted all possibilities for Jack and Oliver, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the claim of Sofia that Grace is not a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Grace is not a knave.", "Grace cannot be a knight, because this would contradict the false claim of Sofia that Grace is not a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Oliver is a knave and Jack is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Grace is a knave if and only if Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Oliver that Grace is a knave if and only if Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('<=>', ('lying', 3), ('lying', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 2)))", "index": 484}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Sebastian, Luke, and Lily. \"Luke is a knave or Luke is a knight\" - Penelope. Sebastian noted, \"If Lily is a knight then Luke is a knight\". Luke told you that If Penelope is a knave then Penelope is a knight. Lily remarked, \"Luke is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Sebastian", "Luke", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Penelope is a knight, Sebastian is a knight, Luke is a knight, and Lily is a knave.", "solution_text_format": "(1) Penelope is a knight\n(2) Sebastian is a knight\n(3) Luke is a knight\n(4) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Luke is a knave or Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Penelope is a knave then Penelope is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Lily is a knight then Luke is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Luke is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 0)), ('lying', 2))", "index": 485}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Liam, Elizabeth, and Ava. \"Elizabeth is not a knight,\" Charlotte declared. Liam asserted: \"Elizabeth is a knight if and only if Ava is a knight\". In a statement by Elizabeth: \"If Charlotte is a knave then Liam is a knight\". Ava said that Ava is a knight or Charlotte is a knight. So who is a knight and who is a knave?", "names": ["Charlotte", "Liam", "Elizabeth", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Charlotte is a knave, Liam is a knight, Elizabeth is a knight, and Ava is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Liam is a knight\n(3) Elizabeth is a knight\n(4) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Charlotte that Elizabeth is not a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Charlotte is a knave then Liam is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Charlotte is a knave then Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight or Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('telling-truth', 0)))", "index": 486}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jackson, Henry, David, and Aurora. According to Jackson, \"David is a knave if and only if Henry is a knave\". Henry told you that Jackson is a knight. David said, \"If Jackson is a knight then Jackson is a knave.\" Aurora remarked, \"Jackson is a knave or Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Henry", "David", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Jackson is a knave, Henry is a knave, David is a knight, and Aurora is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Henry is a knave\n(3) David is a knight\n(4) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that David is a knave if and only if Henry is a knave.", "David cannot be a knight, because this would contradict the claim of their own that If Jackson is a knight then Jackson is a knave.", "Assume David is a knave. No contradiction is found in their false claim that If Jackson is a knight then Jackson is a knave.", "Henry cannot be a knight, because this would contradict the claim of Jackson that David is a knave if and only if Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight.", "We have exhausted all possibilities for Henry and David, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that David is a knave if and only if Henry is a knave.", "Assume David is a knight. No contradiction is found in their claim that If Jackson is a knight then Jackson is a knave.", "Henry cannot be a knight, because this would contradict the false claim of Jackson that David is a knave if and only if Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Jackson is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Jackson is a knave or Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('telling-truth', 0), ('->', ('telling-truth', 0), ('lying', 0)), ('or', ('lying', 0), ('telling-truth', 3)))", "index": 487}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Lucas, Olivia, and Luke. Amelia said that Luke is a knave if and only if Lucas is a knave. Lucas told you that Olivia is a knight and Olivia is a knave. Olivia commented, \"Amelia is a knave or Lucas is a knave\". As Luke put it, \"Amelia is a knave or Lucas is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Lucas", "Olivia", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Amelia is a knave, Lucas is a knave, Olivia is a knight, and Luke is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Lucas is a knave\n(3) Olivia is a knight\n(4) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Luke is a knave if and only if Lucas is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Amelia is a knave or Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Olivia is a knight and Olivia is a knave.", "Lucas cannot be a knave, because this would contradict the claim of Amelia that Luke is a knave if and only if Lucas is a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Amelia is a knave or Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Amelia that Luke is a knave if and only if Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of Luke that Amelia is a knave or Lucas is a knave.", "We have exhausted all possibilities for Lucas and Luke, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Lucas is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Amelia is a knave or Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the false claim of Amelia that Luke is a knave if and only if Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Olivia is a knight and Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Amelia is a knave or Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 1)), ('and', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 0), ('lying', 1)), ('or', ('lying', 0), ('lying', 1)))", "index": 488}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Avery, Harper, and Mason. According to Chloe, \"Mason is not a knight\". Avery remarked, \"Chloe is a knave or Mason is a knight\". Harper stated, \"Mason is a knave or Avery is a knight\". Mason said that Chloe is a knave and Avery is a knave. So who is a knight and who is a knave?", "names": ["Chloe", "Avery", "Harper", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Chloe is a knight, Avery is a knave, Harper is a knight, and Mason is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Avery is a knave\n(3) Harper is a knight\n(4) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Mason is not a knight.", "Mason cannot be a knight, because this would contradict the claim of Chloe that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Chloe is a knave and Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Chloe is a knave or Mason is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Chloe is a knave or Mason is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Mason is a knave or Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('or', ('lying', 0), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 1)), ('and', ('lying', 0), ('lying', 1)))", "index": 489}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Riley, Chloe, and Owen. \"Chloe is a knave and Chloe is a knight,\" Liam mentioned. Riley stated, \"Liam is not a knave\". \"If Chloe is a knight then Riley is a knave,\" Chloe mentioned. Owen noted, \"Riley is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Riley", "Chloe", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Liam is a knave, Riley is a knave, Chloe is a knight, and Owen is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Riley is a knave\n(3) Chloe is a knight\n(4) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Liam cannot be a knight, because this would contradict the claim of their own that Chloe is a knave and Chloe is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Chloe is a knave and Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Chloe is a knight then Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Liam is not a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Liam is not a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Riley is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 0)), ('->', ('telling-truth', 2), ('lying', 1)), ('telling-truth', 1))", "index": 490}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Chloe, Benjamin, and Isabella. Mason asserted: \"Isabella is a knave or Benjamin is a knave\". \"Isabella is a knave,\" Chloe declared. Benjamin noted, \"Mason is not a knave\". In Isabella's words: \"Benjamin is not a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Chloe", "Benjamin", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Mason is a knight, Chloe is a knight, Benjamin is a knight, and Isabella is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Chloe is a knight\n(3) Benjamin is a knight\n(4) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Isabella is a knave or Benjamin is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Mason that Isabella is a knave or Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Mason is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Mason is not a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 2)), ('lying', 3), ('not', ('lying', 0)), ('not', ('telling-truth', 2)))", "index": 491}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Abigail, Evelyn, and Ava. Amelia asserted: \"Amelia is a knight and Abigail is a knight\". Abigail expressed that Amelia is a knave. \"Amelia is a knight and Evelyn is a knight,\" Evelyn claimed. Ava commented, \"If Amelia is a knight then Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Abigail", "Evelyn", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Amelia is a knave, Abigail is a knight, Evelyn is a knave, and Ava is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Abigail is a knight\n(3) Evelyn is a knave\n(4) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight and Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Amelia is a knave.", "Abigail cannot be a knave, because this would contradict the claim of Amelia that Amelia is a knight and Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Amelia is a knight and Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Amelia is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Evelyn is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Amelia is a knight and Evelyn is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Amelia is a knight then Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 0), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "index": 492}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Zoey, Jacob, and Mia. Emma remarked, \"Jacob is not a knight\". Zoey was heard saying, \"Mia is a knight if and only if Jacob is a knight\". \"Mia is a knave if and only if Emma is a knave,\" Jacob mentioned. \"Emma is a knight,\" Mia claimed. So who is a knight and who is a knave?", "names": ["Emma", "Zoey", "Jacob", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Emma is a knave, Zoey is a knave, Jacob is a knight, and Mia is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Zoey is a knave\n(3) Jacob is a knight\n(4) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of Emma that Jacob is not a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Emma is a knave.", "Mia cannot be a knight, because this would contradict the false claim of Jacob that Mia is a knave if and only if Emma is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that Emma is a knight.", "We have exhausted all possibilities for Mia and Jacob, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Jacob is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Mia is a knave if and only if Emma is a knave.", "Mia cannot be a knight, because this would contradict the claim of Jacob that Mia is a knave if and only if Emma is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Emma is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Mia is a knight if and only if Jacob is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('lying', 3), ('lying', 0)), ('telling-truth', 0))", "index": 493}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Owen, Aiden, and Lucas. Sophia asserted: \"Aiden is a knight and Owen is a knight\". According to Owen, \"If Sophia is a knave then Lucas is a knight\". In a statement by Aiden: \"Owen is a knight or Sophia is a knave\". \"Owen is not a knight,\" Lucas claimed. So who is a knight and who is a knave?", "names": ["Sophia", "Owen", "Aiden", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Sophia is a knight, Owen is a knight, Aiden is a knight, and Lucas is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) Owen is a knight\n(3) Aiden is a knight\n(4) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Aiden is a knight and Owen is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Owen is a knight or Sophia is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Sophia is a knave then Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Owen is not a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Owen is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('lying', 0)), ('not', ('telling-truth', 1)))", "index": 494}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Isabella, Chloe, and Henry. \"Chloe is a knave\" - Liam. Isabella expressed that Isabella is a knight and Chloe is a knave. Chloe commented, \"Isabella is a knight or Isabella is a knave\". Henry was heard saying, \"Isabella is not a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Isabella", "Chloe", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Liam is a knave, Isabella is a knave, Chloe is a knight, and Henry is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Isabella is a knave\n(3) Chloe is a knight\n(4) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Liam that Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Isabella is a knight or Isabella is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Isabella is a knight or Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and Chloe is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight and Chloe is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Isabella is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('and', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 1)), ('not', ('telling-truth', 1)))", "index": 495}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Emily, Oliver, and Scarlett. Emma asserted: \"Emily is a knave if and only if Oliver is a knight\". Emily noted, \"Oliver is a knave\". Oliver asserted: \"If Emma is a knight then Scarlett is a knave\". Scarlett commented, \"Emily is a knight if and only if Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Emily", "Oliver", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Emma is a knight, Emily is a knight, Oliver is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Emily is a knight\n(3) Oliver is a knave\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Emily is a knave if and only if Oliver is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Emma that Emily is a knave if and only if Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Emma is a knight then Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Emily is a knight if and only if Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('lying', 2), ('->', ('telling-truth', 0), ('lying', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)))", "index": 496}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Zoey, Henry, and James. Sofia expressed that Zoey is a knave or James is a knight. \"Sofia is a knave,\" Zoey mentioned. In Henry's words: \"James is a knight\". James told you that Zoey is a knave or Henry is a knave. So who is a knight and who is a knave?", "names": ["Sofia", "Zoey", "Henry", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Sofia is a knight, Zoey is a knave, Henry is a knight, and James is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Zoey is a knave\n(3) Henry is a knight\n(4) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Zoey is a knave or James is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Sofia is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Sofia is a knave.", "Assume James is a knight. No contradiction is found in their claim that Zoey is a knave or Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 3)), ('lying', 0), ('telling-truth', 3), ('or', ('lying', 1), ('lying', 2)))", "index": 497}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Noah, Joseph, and Grace. \"Grace is a knight\" - Harper. Noah remarked, \"Joseph is a knave\". In a statement by Joseph: \"Noah is a knave and Harper is a knight\". According to Grace, \"If Joseph is a knave then Harper is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Noah", "Joseph", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Harper is a knight, Noah is a knave, Joseph is a knight, and Grace is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Noah is a knave\n(3) Joseph is a knight\n(4) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Joseph is a knave then Harper is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Noah is a knave and Harper is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Joseph is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('lying', 2), ('and', ('lying', 1), ('telling-truth', 0)), ('->', ('lying', 2), ('lying', 0)))", "index": 498}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Charlotte, Zoey, and Sophia. \"Zoey is not a knight,\" Mason mentioned. Charlotte was heard saying, \"Sophia is not a knight\". \"Sophia is not a knight\" - Zoey. Sophia told you that Mason is a knight or Charlotte is a knight. So who is a knight and who is a knave?", "names": ["Mason", "Charlotte", "Zoey", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Mason is a knight, Charlotte is a knave, Zoey is a knave, and Sophia is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Charlotte is a knave\n(3) Zoey is a knave\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Mason that Zoey is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Sophia is not a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Mason is a knight or Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Sophia is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sophia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "index": 499}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Aiden, Sophia, and Henry. William was heard saying, \"Aiden is a knave and Henry is a knave\". \"Sophia is a knave if and only if Henry is a knave\" - Aiden. As Sophia put it, \"William is a knight or Henry is a knave\". In a statement by Henry: \"Sophia is a knave or Sophia is a knight\". So who is a knight and who is a knave?", "names": ["William", "Aiden", "Sophia", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "William is a knave, Aiden is a knave, Sophia is a knave, and Henry is a knight.", "solution_text_format": "(1) William is a knave\n(2) Aiden is a knave\n(3) Sophia is a knave\n(4) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Aiden is a knave and Henry is a knave.", "Aiden cannot be a knight, because this would contradict the claim of William that Aiden is a knave and Henry is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Henry is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that William is a knight or Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of William that Aiden is a knave and Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Sophia is a knave or Sophia is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the false claim of their own that William is a knight or Henry is a knave.", "We have exhausted all possibilities for Sophia and Aiden, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Aiden is a knave and Henry is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Henry is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that William is a knight or Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Sophia that William is a knight or Henry is a knave.", "Henry cannot be a knave, because this would contradict the claim of Aiden that Sophia is a knave if and only if Henry is a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that William is a knight or Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Aiden that Sophia is a knave if and only if Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of Sophia that William is a knight or Henry is a knave.", "We have exhausted all possibilities for Henry and Sophia, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Henry is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that William is a knight or Henry is a knave.", "Henry cannot be a knight, because this would contradict the false claim of Aiden that Sophia is a knave if and only if Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of William that Aiden is a knave and Henry is a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that William is a knight or Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Sophia is a knave or Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 3)), ('<=>', ('lying', 2), ('lying', 3)), ('or', ('telling-truth', 0), ('lying', 3)), ('or', ('lying', 2), ('telling-truth', 2)))", "index": 500}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Owen, Ella, and Aiden. In Zoey's words: \"Owen is a knave or Ella is a knight\". Owen told you that Aiden is a knave if and only if Zoey is a knave. In Ella's words: \"Aiden is not a knight\". Aiden commented, \"Ella is a knave and Owen is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Owen", "Ella", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Zoey is a knight, Owen is a knave, Ella is a knight, and Aiden is a knave.", "solution_text_format": "(1) Zoey is a knight\n(2) Owen is a knave\n(3) Ella is a knight\n(4) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Owen is a knave or Ella is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Zoey is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Ella is a knave and Owen is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Aiden is not a knight.", "Ella cannot be a knave, because this would contradict the claim of Zoey that Owen is a knave or Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Owen that Aiden is a knave if and only if Zoey is a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Aiden is a knave if and only if Zoey is a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Owen that Aiden is a knave if and only if Zoey is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Ella is a knave and Owen is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Aiden is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 2)), ('<=>', ('lying', 3), ('lying', 0)), ('not', ('telling-truth', 3)), ('and', ('lying', 2), ('telling-truth', 1)))", "index": 501}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Elizabeth, Sophia, and Evelyn. In Lucas's words: \"Sophia is a knave or Elizabeth is a knave\". As Elizabeth put it, \"Evelyn is a knave if and only if Sophia is a knight\". \"Lucas is a knight,\" Sophia claimed. \"Lucas is not a knave,\" Evelyn declared. So who is a knight and who is a knave?", "names": ["Lucas", "Elizabeth", "Sophia", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Lucas is a knight, Elizabeth is a knave, Sophia is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Elizabeth is a knave\n(3) Sophia is a knight\n(4) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Sophia is a knave or Elizabeth is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Lucas is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Lucas that Sophia is a knave or Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Sophia is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Lucas is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('<=>', ('lying', 3), ('telling-truth', 2)), ('telling-truth', 0), ('not', ('lying', 0)))", "index": 502}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, David, Grace, and William. \"David is a knave or David is a knight\" - Jack. According to David, \"William is not a knave\". In Grace's words: \"If Jack is a knight then William is a knight\". \"David is a knight and Jack is a knave,\" William claimed. So who is a knight and who is a knave?", "names": ["Jack", "David", "Grace", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Jack is a knight, David is a knave, Grace is a knave, and William is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) David is a knave\n(3) Grace is a knave\n(4) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that David is a knave or David is a knight.", "Assume David is a knight. No contradiction is found in their claim that William is not a knave.", "William cannot be a knight, because this would contradict the claim of their own that David is a knight and Jack is a knave.", "William cannot be a knave, because this would contradict the claim of David that William is not a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that William is not a knave.", "William cannot be a knight, because this would contradict the false claim of David that William is not a knave.", "Assume William is a knave. No contradiction is found in their false claim that David is a knight and Jack is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that If Jack is a knight then William is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that If Jack is a knight then William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 3)), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 503}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, David, Luke, and Olivia. \"David is a knight if and only if Olivia is a knave,\" Riley claimed. According to David, \"If David is a knight then Olivia is a knight\". Luke said that David is a knight if and only if Olivia is a knave. Olivia told you that Olivia is a knight. So who is a knight and who is a knave?", "names": ["Riley", "David", "Luke", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Riley is a knave, David is a knight, Luke is a knave, and Olivia is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) David is a knight\n(3) Luke is a knave\n(4) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that David is a knight if and only if Olivia is a knave.", "Assume David is a knight. No contradiction is found in their claim that If David is a knight then Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Riley that David is a knight if and only if Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the claim of David that If David is a knight then Olivia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the false claim of their own that If David is a knight then Olivia is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that David is a knight if and only if Olivia is a knave.", "Assume David is a knight. No contradiction is found in their claim that If David is a knight then Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that David is a knight if and only if Olivia is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that David is a knight if and only if Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 3)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('lying', 3)), ('telling-truth', 3))", "index": 504}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Avery, Evelyn, and Aria. According to Ethan, \"Avery is not a knight\". Avery noted, \"Ethan is a knave if and only if Evelyn is a knave\". Evelyn was heard saying, \"Aria is a knight\". Aria expressed that Avery is a knight or Ethan is a knave. So who is a knight and who is a knave?", "names": ["Ethan", "Avery", "Evelyn", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Ethan is a knight, Avery is a knave, Evelyn is a knave, and Aria is a knave.", "solution_text_format": "(1) Ethan is a knight\n(2) Avery is a knave\n(3) Evelyn is a knave\n(4) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Avery is not a knight.", "Avery cannot be a knight, because this would contradict the claim of Ethan that Avery is not a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the false claim of Avery that Ethan is a knave if and only if Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Aria is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Evelyn that Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Avery is a knight or Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('lying', 0), ('lying', 2)), ('telling-truth', 3), ('or', ('telling-truth', 1), ('lying', 0)))", "index": 505}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, Riley, Mason, and Evelyn. \"If Mason is a knave then Evelyn is a knave\" - Abigail. Riley said, \"If Mason is a knave then Mason is a knight.\" According to Mason, \"Evelyn is a knight\". Evelyn said that If Evelyn is a knight then Riley is a knight. So who is a knight and who is a knave?", "names": ["Abigail", "Riley", "Mason", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Abigail is a knight, Riley is a knight, Mason is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Riley is a knight\n(3) Mason is a knight\n(4) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that If Mason is a knave then Evelyn is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Evelyn is a knight then Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Mason is a knave then Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 3)), ('->', ('lying', 2), ('telling-truth', 2)), ('telling-truth', 3), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 506}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Zoey, Liam, and Henry. \"Liam is a knave if and only if Zoey is a knave,\" Harper claimed. Zoey commented, \"If Henry is a knave then Liam is a knight\". According to Liam, \"If Liam is a knight then Henry is a knight\". \"Liam is a knight\" - Henry. So who is a knight and who is a knave?", "names": ["Harper", "Zoey", "Liam", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Harper is a knight, Zoey is a knight, Liam is a knight, and Henry is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Zoey is a knight\n(3) Liam is a knight\n(4) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Liam is a knave if and only if Zoey is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Liam is a knight then Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Henry is a knave then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('->', ('lying', 3), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('telling-truth', 2))", "index": 507}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Joseph, Victoria, and Sofia. As Oliver put it, \"Victoria is a knight if and only if Sofia is a knight\". \"Victoria is a knight,\" Joseph claimed. Victoria said, \"Oliver is a knight and Sofia is a knight.\" According to Sofia, \"Victoria is not a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Joseph", "Victoria", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Oliver is a knave, Joseph is a knave, Victoria is a knave, and Sofia is a knight.", "solution_text_format": "(1) Oliver is a knave\n(2) Joseph is a knave\n(3) Victoria is a knave\n(4) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Sofia is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Oliver is a knight and Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Sofia cannot be a knave, because this would contradict the claim of Oliver that Victoria is a knight if and only if Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Oliver is a knight and Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Oliver that Victoria is a knight if and only if Sofia is a knight.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Victoria is not a knight.", "We have exhausted all possibilities for Sofia and Victoria, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Sofia is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Sofia is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Oliver is a knight and Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Victoria is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('telling-truth', 2), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('telling-truth', 2)))", "index": 508}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Michael, Abigail, and Amelia. Chloe remarked, \"Abigail is a knight or Michael is a knave\". Michael stated, \"Amelia is a knight or Amelia is a knave\". Abigail expressed that Amelia is a knave and Chloe is a knight. \"Chloe is a knave if and only if Michael is a knave\" - Amelia. So who is a knight and who is a knave?", "names": ["Chloe", "Michael", "Abigail", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Chloe is a knave, Michael is a knight, Abigail is a knave, and Amelia is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Michael is a knight\n(3) Abigail is a knave\n(4) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Abigail is a knight or Michael is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Amelia is a knave and Chloe is a knight.", "Amelia cannot be a knight, because this would contradict the claim of Abigail that Amelia is a knave and Chloe is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Michael is a knave.", "Michael cannot be a knight, because this would contradict the false claim of Amelia that Chloe is a knave if and only if Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight or Amelia is a knave.", "We have exhausted all possibilities for Michael and Amelia, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Amelia is a knave and Chloe is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Chloe that Abigail is a knight or Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight or Amelia is a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the false claim of Abigail that Amelia is a knave and Chloe is a knight.", "We have exhausted all possibilities for Amelia and Abigail, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Abigail is a knight or Michael is a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Chloe that Abigail is a knight or Michael is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Amelia is a knave and Chloe is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Amelia that Chloe is a knave if and only if Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of Chloe that Abigail is a knight or Michael is a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Amelia is a knight or Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('or', ('telling-truth', 3), ('lying', 3)), ('and', ('lying', 3), ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 1)))", "index": 509}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Sophia, William, and Michael. Amelia noted, \"If William is a knave then Sophia is a knave\". \"Amelia is a knave if and only if Sophia is a knight,\" Sophia mentioned. \"Amelia is a knight,\" William declared. Michael remarked, \"William is a knave and Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Sophia", "William", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Amelia is a knave, Sophia is a knight, William is a knave, and Michael is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Sophia is a knight\n(3) William is a knave\n(4) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that If William is a knave then Sophia is a knave.", "Assume William is a knight. No contradiction is found in their claim that Amelia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Amelia is a knave if and only if Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Amelia is a knave if and only if Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that If William is a knave then Sophia is a knave.", "William cannot be a knight, because this would contradict the false claim of Amelia that If William is a knave then Sophia is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Amelia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Sophia is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that William is a knave and Amelia is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that William is a knave and Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('telling-truth', 0), ('and', ('lying', 2), ('telling-truth', 0)))", "index": 510}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Noah, Oliver, and Lily. In a statement by Jack: \"Oliver is a knave\". Noah said that Oliver is a knight. As Oliver put it, \"Lily is a knight or Jack is a knave\". Lily said, \"Jack is not a knave.\" So who is a knight and who is a knave?", "names": ["Jack", "Noah", "Oliver", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Jack is a knave, Noah is a knight, Oliver is a knight, and Lily is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Noah is a knight\n(3) Oliver is a knight\n(4) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Jack that Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Lily is a knight or Jack is a knave.", "Lily cannot be a knight, because this would contradict the false claim of Oliver that Lily is a knight or Jack is a knave.", "Lily cannot be a knave, because this would contradict the false claim of their own that Jack is not a knave.", "We have exhausted all possibilities for Lily and Oliver, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Lily is a knight or Jack is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Jack is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Jack is not a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('telling-truth', 2), ('or', ('telling-truth', 3), ('lying', 0)), ('not', ('lying', 0)))", "index": 511}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Luke, Harper, and Chloe. Emma expressed that Luke is not a knave. Luke commented, \"Harper is a knight and Emma is a knight\". Harper told you that Emma is not a knight. \"If Luke is a knave then Luke is a knight,\" Chloe mentioned. So who is a knight and who is a knave?", "names": ["Emma", "Luke", "Harper", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Emma is a knave, Luke is a knave, Harper is a knight, and Chloe is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Luke is a knave\n(3) Harper is a knight\n(4) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Luke is not a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Harper is a knight and Emma is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Emma is not a knight.", "Harper cannot be a knave, because this would contradict the claim of Luke that Harper is a knight and Emma is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Emma that Luke is not a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Luke is not a knave.", "Luke cannot be a knight, because this would contradict the false claim of Emma that Luke is not a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Harper is a knight and Emma is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Emma is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that If Luke is a knave then Luke is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Luke is a knave then Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 1)))", "index": 512}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Noah, Joseph, and Ava. In a statement by Jack: \"If Ava is a knave then Noah is a knight\". Noah stated, \"Joseph is a knight if and only if Joseph is a knave\". As Joseph put it, \"Ava is a knight or Noah is a knight\". Ava stated, \"Noah is not a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Noah", "Joseph", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Jack is a knight, Noah is a knave, Joseph is a knight, and Ava is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Noah is a knave\n(3) Joseph is a knight\n(4) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that If Ava is a knave then Noah is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Noah is not a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Joseph is a knight if and only if Joseph is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Ava is a knight or Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('telling-truth', 1)))", "index": 513}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Grace, Charlotte, and Oliver. \"Grace is not a knave,\" Amelia mentioned. \"If Grace is a knight then Charlotte is a knight,\" Grace mentioned. \"Grace is a knight,\" Charlotte mentioned. In a statement by Oliver: \"Grace is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Grace", "Charlotte", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Amelia is a knight, Grace is a knight, Charlotte is a knight, and Oliver is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Grace is a knight\n(3) Charlotte is a knight\n(4) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Grace is a knight then Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Grace is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 1), ('telling-truth', 1))", "index": 514}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Emily, Mia, and Lucas. In a statement by Samuel: \"Lucas is not a knave\". Emily expressed that Samuel is not a knave. \"If Emily is a knight then Lucas is a knight\" - Mia. \"Mia is a knight,\" Lucas declared. So who is a knight and who is a knave?", "names": ["Samuel", "Emily", "Mia", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Samuel is a knight, Emily is a knight, Mia is a knight, and Lucas is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Emily is a knight\n(3) Mia is a knight\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Lucas is not a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Emily is a knight then Lucas is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Samuel is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('not', ('lying', 0)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('telling-truth', 2))", "index": 515}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Scarlett, Daniel, and Henry. Joseph commented, \"Henry is a knight and Henry is a knave\". Scarlett said, \"Joseph is a knave.\" Daniel stated, \"Henry is not a knave\". Henry was heard saying, \"Scarlett is a knight if and only if Joseph is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Scarlett", "Daniel", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Joseph is a knave, Scarlett is a knight, Daniel is a knight, and Henry is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Scarlett is a knight\n(3) Daniel is a knight\n(4) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Joseph cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Henry is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Henry is a knight and Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Joseph is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Joseph is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Henry is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 3)), ('lying', 0), ('not', ('lying', 3)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 516}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Matthew, Logan, and Penelope. As Emma put it, \"Logan is a knave\". In Matthew's words: \"If Matthew is a knight then Logan is a knave\". In Logan's words: \"Matthew is a knave\". Penelope noted, \"If Matthew is a knave then Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Matthew", "Logan", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Emma is a knight, Matthew is a knight, Logan is a knave, and Penelope is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Matthew is a knight\n(3) Logan is a knave\n(4) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Emma that Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Matthew is a knight then Logan is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Matthew is a knave then Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('->', ('telling-truth', 1), ('lying', 2)), ('lying', 1), ('->', ('lying', 1), ('telling-truth', 1)))", "index": 517}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Owen, Grace, and Evelyn. Ella said, \"Owen is a knight if and only if Evelyn is a knight.\" Owen noted, \"Ella is a knight\". Grace remarked, \"Ella is a knave and Owen is a knave\". \"If Owen is a knight then Owen is a knave,\" Evelyn declared. So who is a knight and who is a knave?", "names": ["Ella", "Owen", "Grace", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Ella is a knave, Owen is a knave, Grace is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Owen is a knave\n(3) Grace is a knight\n(4) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Owen is a knight if and only if Evelyn is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Ella is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that If Owen is a knight then Owen is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Ella that Owen is a knight if and only if Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the false claim of their own that Ella is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Evelyn is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Ella is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Ella is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Owen is a knight then Owen is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Ella is a knave and Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('telling-truth', 0), ('and', ('lying', 0), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 518}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Owen, Mia, and Scarlett. \"Owen is not a knave\" - Lucas. \"Lucas is a knave or Lucas is a knight\" - Owen. Mia told you that Owen is a knave. Scarlett asserted: \"Mia is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Owen", "Mia", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Lucas is a knight, Owen is a knight, Mia is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Owen is a knight\n(3) Mia is a knave\n(4) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Lucas is a knave or Lucas is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Owen is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Mia is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 0)), ('lying', 1), ('telling-truth', 2))", "index": 519}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Jackson, Aria, and William. Owen said, \"William is a knight and Jackson is a knight.\" Jackson told you that If William is a knight then Aria is a knave. Aria remarked, \"Jackson is a knave if and only if Jackson is a knight\". William noted, \"If William is a knight then Jackson is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Jackson", "Aria", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Owen is a knight, Jackson is a knight, Aria is a knave, and William is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Jackson is a knight\n(3) Aria is a knave\n(4) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that William is a knight and Jackson is a knight.", "Assume William is a knight. No contradiction is found in their claim that If William is a knight then Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If William is a knight then Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Jackson that If William is a knight then Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('lying', 2)), ('<=>', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 520}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Alexander, Mia, and Avery. In Lily's words: \"Lily is a knight and Mia is a knave\". Alexander was heard saying, \"If Avery is a knave then Lily is a knave\". Mia expressed that Alexander is a knight and Avery is a knave. Avery expressed that Mia is a knight or Lily is a knight. So who is a knight and who is a knave?", "names": ["Lily", "Alexander", "Mia", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Lily is a knight, Alexander is a knight, Mia is a knave, and Avery is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Alexander is a knight\n(3) Mia is a knave\n(4) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight and Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Lily that Lily is a knight and Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Alexander is a knight and Avery is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Avery is a knave then Lily is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Mia is a knight or Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 2)), ('->', ('lying', 3), ('lying', 0)), ('and', ('telling-truth', 1), ('lying', 3)), ('or', ('telling-truth', 2), ('telling-truth', 0)))", "index": 521}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Grace, Riley, and Jackson. In a statement by Sophia: \"Riley is a knight or Grace is a knight\". Grace expressed that Sophia is a knave if and only if Jackson is a knight. Riley stated, \"If Riley is a knight then Sophia is a knight\". As Jackson put it, \"Grace is a knight and Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Grace", "Riley", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Sophia is a knight, Grace is a knight, Riley is a knight, and Jackson is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) Grace is a knight\n(3) Riley is a knight\n(4) Jackson is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Riley is a knight or Grace is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Riley is a knight then Sophia is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Grace that Sophia is a knave if and only if Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Grace is a knight and Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 522}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Jack, Oliver, and Olivia. In a statement by Daniel: \"If Olivia is a knave then Jack is a knave\". Jack stated, \"If Oliver is a knave then Daniel is a knave\". \"Olivia is a knight if and only if Jack is a knave,\" Oliver claimed. According to Olivia, \"Oliver is a knave or Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Jack", "Oliver", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Daniel is a knave, Jack is a knight, Oliver is a knight, and Olivia is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Jack is a knight\n(3) Oliver is a knight\n(4) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that If Olivia is a knave then Jack is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Oliver is a knave or Olivia is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Oliver that Olivia is a knight if and only if Jack is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that If Oliver is a knave then Daniel is a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that If Oliver is a knave then Daniel is a knave.", "Jack cannot be a knave, because this would contradict the false claim of Oliver that Olivia is a knight if and only if Jack is a knave.", "We have exhausted all possibilities for Jack and Oliver, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Oliver is a knave or Olivia is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Daniel that If Olivia is a knave then Jack is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that If Oliver is a knave then Daniel is a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the false claim of Olivia that Oliver is a knave or Olivia is a knight.", "We have exhausted all possibilities for Oliver and Olivia, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Olivia is a knave then Jack is a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Daniel that If Olivia is a knave then Jack is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Oliver is a knave or Olivia is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Oliver is a knave then Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 1)), ('->', ('lying', 2), ('lying', 0)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 3)))", "index": 523}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Olivia, Owen, and James. \"James is a knave and Olivia is a knight\" - Oliver. In a statement by Olivia: \"Owen is not a knight\". Owen noted, \"Olivia is a knave or James is a knave\". James said, \"Owen is a knave and Owen is a knight.\" So who is a knight and who is a knave?", "names": ["Oliver", "Olivia", "Owen", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Oliver is a knave, Olivia is a knave, Owen is a knight, and James is a knave.", "solution_text_format": "(1) Oliver is a knave\n(2) Olivia is a knave\n(3) Owen is a knight\n(4) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that James is a knave and Olivia is a knight.", "James cannot be a knight, because this would contradict the claim of Oliver that James is a knave and Olivia is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Owen is a knave and Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Olivia is a knave or James is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Owen is not a knight.", "Olivia cannot be a knave, because this would contradict the claim of Oliver that James is a knave and Olivia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the false claim of their own that Olivia is a knave or James is a knave.", "We have exhausted all possibilities for Owen and James, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that James is a knave and Olivia is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Owen is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Owen is a knave and Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Olivia is a knave or James is a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Oliver that James is a knave and Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Owen is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('or', ('lying', 1), ('lying', 3)), ('and', ('lying', 2), ('telling-truth', 2)))", "index": 524}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Elizabeth, Benjamin, and Emily. In Jacob's words: \"Elizabeth is a knave and Benjamin is a knave\". In a statement by Elizabeth: \"Jacob is a knave and Jacob is a knight\". \"If Emily is a knight then Elizabeth is a knave,\" Benjamin claimed. Emily told you that Elizabeth is a knight or Benjamin is a knave. So who is a knight and who is a knave?", "names": ["Jacob", "Elizabeth", "Benjamin", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Jacob is a knave, Elizabeth is a knave, Benjamin is a knight, and Emily is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Elizabeth is a knave\n(3) Benjamin is a knight\n(4) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Elizabeth is a knave and Benjamin is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Jacob that Elizabeth is a knave and Benjamin is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Jacob is a knave and Jacob is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of Jacob that Elizabeth is a knave and Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that If Emily is a knight then Elizabeth is a knave.", "We have exhausted all possibilities for Benjamin and Elizabeth, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Benjamin is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Jacob is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Jacob is a knave and Jacob is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Emily is a knight then Elizabeth is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight or Benjamin is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Elizabeth is a knight or Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('and', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 2)))", "index": 525}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Abigail, Alexander, and Owen. Charlotte said that Owen is a knight if and only if Alexander is a knight. Abigail said, \"Alexander is a knight.\" According to Alexander, \"Charlotte is not a knight\". \"Abigail is not a knave,\" Owen declared. So who is a knight and who is a knave?", "names": ["Charlotte", "Abigail", "Alexander", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Charlotte is a knight, Abigail is a knave, Alexander is a knave, and Owen is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Abigail is a knave\n(3) Alexander is a knave\n(4) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Owen is a knight if and only if Alexander is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Abigail is not a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knight.", "Alexander cannot be a knave, because this would contradict the claim of Charlotte that Owen is a knight if and only if Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Owen that Abigail is not a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Abigail is not a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Owen that Abigail is not a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of Charlotte that Owen is a knight if and only if Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Charlotte is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('telling-truth', 2), ('not', ('telling-truth', 0)), ('not', ('lying', 1)))", "index": 526}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Noah, Victoria, and Mia. Scarlett asserted: \"Victoria is a knight if and only if Noah is a knight\". Noah said that Victoria is a knave and Scarlett is a knave. \"Mia is a knave\" - Victoria. \"Scarlett is a knave and Scarlett is a knight,\" Mia declared. So who is a knight and who is a knave?", "names": ["Scarlett", "Noah", "Victoria", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Scarlett is a knave, Noah is a knave, Victoria is a knight, and Mia is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Noah is a knave\n(3) Victoria is a knight\n(4) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Noah is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Victoria that Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Scarlett is a knave and Scarlett is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Scarlett is a knave.", "Noah cannot be a knave, because this would contradict the claim of Scarlett that Victoria is a knight if and only if Noah is a knight.", "We have exhausted all possibilities for Noah and Mia, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave and Scarlett is a knight.", "Mia cannot be a knave, because this would contradict the false claim of Victoria that Mia is a knave.", "We have exhausted all possibilities for Mia and Victoria, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Noah is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Victoria that Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Scarlett is a knave and Scarlett is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Scarlett that Victoria is a knight if and only if Noah is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Victoria is a knave and Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('lying', 2), ('lying', 0)), ('lying', 3), ('and', ('lying', 0), ('telling-truth', 0)))", "index": 527}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Harper, Avery, and Noah. Jacob noted, \"Harper is a knave and Avery is a knave\". As Harper put it, \"Jacob is not a knave\". As Avery put it, \"If Harper is a knave then Jacob is a knave\". As Noah put it, \"Harper is a knight and Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Harper", "Avery", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Jacob is a knave, Harper is a knave, Avery is a knight, and Noah is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Harper is a knave\n(3) Avery is a knight\n(4) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Harper is a knave and Avery is a knave.", "Harper cannot be a knight, because this would contradict the claim of Jacob that Harper is a knave and Avery is a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that Jacob is not a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Harper is a knave and Avery is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Jacob is not a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Jacob is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Harper is a knave then Jacob is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Harper is a knight and Jacob is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Harper is a knight and Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('not', ('lying', 0)), ('->', ('lying', 1), ('lying', 0)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 528}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Mason, Chloe, and Sebastian. \"Chloe is a knave or Mason is a knave,\" Penelope mentioned. According to Mason, \"Penelope is a knave and Chloe is a knave\". In Chloe's words: \"Mason is not a knave\". Sebastian commented, \"If Mason is a knight then Penelope is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Mason", "Chloe", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Penelope is a knight, Mason is a knave, Chloe is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Mason is a knave\n(3) Chloe is a knave\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Chloe is a knave or Mason is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the claim of Penelope that Chloe is a knave or Mason is a knave.", "Mason cannot be a knave, because this would contradict the claim of Chloe that Mason is not a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Chloe is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Penelope is a knave and Chloe is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Mason is a knight then Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('and', ('lying', 0), ('lying', 2)), ('not', ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 529}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Owen, Ava, and Henry. \"If Henry is a knave then Ava is a knave\" - Charlotte. Owen said that Ava is a knave and Charlotte is a knave. Ava stated, \"Ava is a knight and Charlotte is a knight\". According to Henry, \"Owen is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Owen", "Ava", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Charlotte is a knight, Owen is a knave, Ava is a knave, and Henry is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Owen is a knave\n(3) Ava is a knave\n(4) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that If Henry is a knave then Ava is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Charlotte is a knave.", "Owen cannot be a knave, because this would contradict the claim of Henry that Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Charlotte is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Ava is a knave and Charlotte is a knave.", "Ava cannot be a knight, because this would contradict the claim of Charlotte that If Henry is a knave then Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight and Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 2)), ('and', ('lying', 2), ('lying', 0)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 1))", "index": 530}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Emma, Riley, and Logan. Benjamin said, \"Riley is a knave or Benjamin is a knight.\" Emma told you that Benjamin is not a knight. Riley remarked, \"Benjamin is a knave and Benjamin is a knight\". As Logan put it, \"Logan is a knight or Riley is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Emma", "Riley", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Benjamin is a knight, Emma is a knave, Riley is a knave, and Logan is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Emma is a knave\n(3) Riley is a knave\n(4) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Riley is a knave or Benjamin is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave and Benjamin is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Benjamin is a knave and Benjamin is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight or Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('lying', 2)))", "index": 531}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Isabella, Sebastian, and Penelope. Amelia asserted: \"If Isabella is a knave then Penelope is a knave\". As Isabella put it, \"Amelia is not a knave\". In Sebastian's words: \"Amelia is a knave if and only if Isabella is a knight\". In a statement by Penelope: \"Sebastian is a knight if and only if Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Isabella", "Sebastian", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Amelia is a knight, Isabella is a knight, Sebastian is a knave, and Penelope is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Isabella is a knight\n(3) Sebastian is a knave\n(4) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that If Isabella is a knave then Penelope is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Amelia is not a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Amelia is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Amelia is a knave if and only if Isabella is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 3)), ('not', ('lying', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 0)))", "index": 532}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Jack, Jacob, and David. \"If Jack is a knave then David is a knave\" - Benjamin. In Jack's words: \"David is a knight and Benjamin is a knave\". \"Jack is a knave or Jacob is a knight,\" Jacob mentioned. David asserted: \"David is a knight and Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Jack", "Jacob", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Benjamin is a knight, Jack is a knave, Jacob is a knight, and David is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Jack is a knave\n(3) Jacob is a knight\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that If Jack is a knave then David is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that David is a knight and Benjamin is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that David is a knight and Benjamin is a knave.", "David cannot be a knight, because this would contradict the claim of Benjamin that If Jack is a knave then David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight and Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Jack is a knave or Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 3)), ('and', ('telling-truth', 3), ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('lying', 2)))", "index": 533}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Matthew, Noah, and Victoria. In Benjamin's words: \"Matthew is a knight if and only if Victoria is a knight\". Matthew stated, \"Noah is a knave if and only if Benjamin is a knight\". Noah noted, \"Benjamin is not a knight\". \"Matthew is not a knave,\" Victoria claimed. So who is a knight and who is a knave?", "names": ["Benjamin", "Matthew", "Noah", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Benjamin is a knight, Matthew is a knight, Noah is a knave, and Victoria is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Matthew is a knight\n(3) Noah is a knave\n(4) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Victoria is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Noah is a knave if and only if Benjamin is a knight.", "Noah cannot be a knight, because this would contradict the claim of Matthew that Noah is a knave if and only if Benjamin is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Matthew is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('not', ('lying', 1)))", "index": 534}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Zoey, Avery, and Scarlett. \"If Sophia is a knight then Scarlett is a knave,\" Sophia declared. Zoey told you that Sophia is not a knave. Avery expressed that Sophia is a knight and Avery is a knight. In Scarlett's words: \"Avery is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Zoey", "Avery", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Sophia is a knight, Zoey is a knight, Avery is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) Zoey is a knight\n(3) Avery is a knight\n(4) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that If Sophia is a knight then Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Sophia that If Sophia is a knight then Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Sophia is a knight and Avery is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Sophia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 3)), ('not', ('lying', 0)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 2))", "index": 535}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Abigail, Luke, and Jacob. Aiden told you that Jacob is a knight and Abigail is a knight. Abigail commented, \"Aiden is a knight\". In a statement by Luke: \"Aiden is a knave or Abigail is a knave\". Jacob commented, \"If Aiden is a knight then Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Abigail", "Luke", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Aiden is a knave, Abigail is a knave, Luke is a knight, and Jacob is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Abigail is a knave\n(3) Luke is a knight\n(4) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Jacob is a knight and Abigail is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that If Aiden is a knight then Aiden is a knave.", "Jacob cannot be a knave, because this would contradict the claim of Aiden that Jacob is a knight and Abigail is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jacob is a knight and Abigail is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Aiden is a knight then Aiden is a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Aiden that Jacob is a knight and Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Aiden is a knave or Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 1)), ('telling-truth', 0), ('or', ('lying', 0), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 0)))", "index": 536}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, Victoria, Liam, and Scarlett. \"Scarlett is a knave if and only if Victoria is a knave,\" Abigail declared. \"Abigail is a knave,\" Victoria claimed. Liam asserted: \"Scarlett is a knight if and only if Victoria is a knight\". Scarlett said, \"Liam is not a knave.\" So who is a knight and who is a knave?", "names": ["Abigail", "Victoria", "Liam", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Abigail is a knave, Victoria is a knight, Liam is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) Victoria is a knight\n(3) Liam is a knave\n(4) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Victoria is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Abigail that Scarlett is a knave if and only if Victoria is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Scarlett that Liam is not a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Liam is not a knave.", "Liam cannot be a knight, because this would contradict the false claim of Scarlett that Liam is not a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Abigail that Scarlett is a knave if and only if Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of Liam that Scarlett is a knight if and only if Victoria is a knight.", "We have exhausted all possibilities for Victoria, Liam, and Scarlett, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Victoria is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Abigail that Scarlett is a knave if and only if Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Abigail is a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Scarlett that Liam is not a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Liam is not a knave.", "Liam cannot be a knight, because this would contradict the false claim of Scarlett that Liam is not a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Abigail is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 1)), ('lying', 0), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('lying', 2)))", "index": 537}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, Jacob, Mason, and Michael. In a statement by Avery: \"Jacob is a knave and Mason is a knight\". \"Jacob is a knight or Avery is a knight,\" Jacob claimed. \"Jacob is a knave,\" Mason mentioned. Michael noted, \"Avery is a knight if and only if Mason is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Jacob", "Mason", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Avery is a knave, Jacob is a knight, Mason is a knave, and Michael is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Jacob is a knight\n(3) Mason is a knave\n(4) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Jacob is a knave and Mason is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Avery that Jacob is a knave and Mason is a knight.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Jacob is a knight or Avery is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Jacob is a knave and Mason is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight or Avery is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Jacob is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Avery is a knight if and only if Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('lying', 1), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "index": 538}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Mason, Ava, and Michael. Mia remarked, \"Ava is a knight and Mason is a knight\". In a statement by Mason: \"Michael is not a knave\". \"Ava is a knight and Mia is a knave\" - Ava. As Michael put it, \"If Mia is a knight then Mason is a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Mason", "Ava", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Mia is a knave, Mason is a knight, Ava is a knave, and Michael is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Mason is a knight\n(3) Ava is a knave\n(4) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Ava is a knight and Mason is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Ava is a knight and Mia is a knave.", "Ava cannot be a knave, because this would contradict the claim of Mia that Ava is a knight and Mason is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Ava is a knight and Mason is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight and Mia is a knave.", "Mason cannot be a knight, because this would contradict the false claim of Mia that Ava is a knight and Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Michael is not a knave.", "Michael cannot be a knight, because this would contradict the false claim of Mason that Michael is not a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Mia is a knight then Mason is a knight.", "We have exhausted all possibilities for Michael and Mason, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight and Mia is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Michael is not a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Mia is a knight then Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('lying', 3)), ('and', ('telling-truth', 2), ('lying', 0)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "index": 539}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Jackson, Aiden, and Elizabeth. In a statement by Emily: \"Jackson is a knight\". Jackson noted, \"If Aiden is a knave then Emily is a knight\". Aiden stated, \"Emily is not a knight\". Elizabeth was heard saying, \"Jackson is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Jackson", "Aiden", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Emily is a knight, Jackson is a knight, Aiden is a knave, and Elizabeth is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Jackson is a knight\n(3) Aiden is a knave\n(4) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Aiden is a knave then Emily is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Emily is not a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Jackson is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('lying', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('lying', 1))", "index": 540}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Daniel, Jackson, and Harper. Amelia stated, \"If Daniel is a knave then Harper is a knight\". In Daniel's words: \"Jackson is a knave if and only if Jackson is a knight\". Jackson noted, \"Amelia is a knight or Daniel is a knight\". In Harper's words: \"Jackson is a knight if and only if Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Daniel", "Jackson", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Amelia is a knight, Daniel is a knave, Jackson is a knight, and Harper is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Daniel is a knave\n(3) Jackson is a knight\n(4) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that If Daniel is a knave then Harper is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Jackson is a knave if and only if Jackson is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Amelia is a knight or Daniel is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 3)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "index": 541}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Sophia, Jack, and Mia. Noah stated, \"Jack is a knave\". Sophia noted, \"Mia is a knave if and only if Noah is a knave\". According to Jack, \"Mia is not a knave\". \"Sophia is a knave or Jack is a knight,\" Mia declared. So who is a knight and who is a knave?", "names": ["Noah", "Sophia", "Jack", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Noah is a knave, Sophia is a knave, Jack is a knight, and Mia is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Sophia is a knave\n(3) Jack is a knight\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Noah that Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Mia is not a knave.", "Mia cannot be a knight, because this would contradict the false claim of Jack that Mia is not a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Sophia is a knave or Jack is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Mia is a knave if and only if Noah is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of Mia that Sophia is a knave or Jack is a knight.", "We have exhausted all possibilities for Sophia, Mia, and Jack, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Mia is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Sophia is a knave or Jack is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Mia is a knave if and only if Noah is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('lying', 3), ('lying', 0)), ('not', ('lying', 3)), ('or', ('lying', 1), ('telling-truth', 2)))", "index": 542}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Aria, Jack, and Jacob. According to Oliver, \"Jacob is a knight\". Aria told you that If Oliver is a knight then Jacob is a knave. Jack said that If Jacob is a knight then Jacob is a knave. According to Jacob, \"Jacob is a knight if and only if Aria is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Aria", "Jack", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Oliver is a knight, Aria is a knave, Jack is a knave, and Jacob is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Aria is a knave\n(3) Jack is a knave\n(4) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that If Oliver is a knight then Jacob is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that If Oliver is a knight then Jacob is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that If Jacob is a knight then Jacob is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that If Jacob is a knight then Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('->', ('telling-truth', 0), ('lying', 3)), ('->', ('telling-truth', 3), ('lying', 3)), ('<=>', ('telling-truth', 3), ('lying', 1)))", "index": 543}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Riley, Abigail, and Charlotte. Luke stated, \"Charlotte is not a knight\". \"Luke is a knight or Abigail is a knight,\" Riley declared. Abigail noted, \"Luke is a knave and Charlotte is a knave\". Charlotte said, \"Charlotte is a knight if and only if Riley is a knight.\" So who is a knight and who is a knave?", "names": ["Luke", "Riley", "Abigail", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Luke is a knight, Riley is a knight, Abigail is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) Riley is a knight\n(3) Abigail is a knave\n(4) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Charlotte is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Luke that Charlotte is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Luke is a knight or Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Luke is a knave and Charlotte is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Luke is a knave and Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('lying', 0), ('lying', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)))", "index": 544}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Sophia, Aurora, and Sebastian. \"Sebastian is a knave and Aurora is a knight,\" Jack claimed. \"Jack is not a knave,\" Sophia declared. \"If Jack is a knight then Sebastian is a knight,\" Aurora claimed. Sebastian said, \"Sebastian is a knight if and only if Aurora is a knight.\" So who is a knight and who is a knave?", "names": ["Jack", "Sophia", "Aurora", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Jack is a knave, Sophia is a knave, Aurora is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Sophia is a knave\n(3) Aurora is a knight\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Sebastian is a knave and Aurora is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Jack that Sebastian is a knave and Aurora is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that If Jack is a knight then Sebastian is a knight.", "Aurora cannot be a knave, because this would contradict the claim of Jack that Sebastian is a knave and Aurora is a knight.", "We have exhausted all possibilities for Aurora and Sebastian, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Sebastian is a knave and Aurora is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Jack is a knight then Sebastian is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Jack is not a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Jack is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 2)), ('not', ('lying', 0)), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)))", "index": 545}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Benjamin, Jacob, and Ethan. Riley told you that Jacob is a knave if and only if Benjamin is a knave. Benjamin was heard saying, \"Jacob is not a knave\". Jacob remarked, \"Jacob is a knight or Riley is a knight\". Ethan asserted: \"Ethan is a knight or Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Benjamin", "Jacob", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Riley is a knight, Benjamin is a knight, Jacob is a knight, and Ethan is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Benjamin is a knight\n(3) Jacob is a knight\n(4) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Benjamin is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight or Riley is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight or Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('not', ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('telling-truth', 1)))", "index": 546}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Lucas, Luke, and Amelia. Riley asserted: \"Luke is not a knight\". Lucas noted, \"Luke is not a knight\". \"Riley is a knight or Riley is a knave,\" Luke mentioned. \"Luke is a knave and Amelia is a knight\" - Amelia. So who is a knight and who is a knave?", "names": ["Riley", "Lucas", "Luke", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Riley is a knave, Lucas is a knave, Luke is a knight, and Amelia is a knave.", "solution_text_format": "(1) Riley is a knave\n(2) Lucas is a knave\n(3) Luke is a knight\n(4) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of Riley that Luke is not a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that Riley is a knight or Riley is a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Riley is a knight or Riley is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Luke is not a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Luke is a knave and Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Luke is a knave and Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 0)), ('and', ('lying', 2), ('telling-truth', 3)))", "index": 547}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Joseph, Benjamin, and Elizabeth. Aiden expressed that Benjamin is a knight if and only if Elizabeth is a knave. In Joseph's words: \"Benjamin is a knight or Elizabeth is a knave\". Benjamin said that Elizabeth is a knave and Joseph is a knight. \"If Joseph is a knight then Aiden is a knight,\" Elizabeth claimed. So who is a knight and who is a knave?", "names": ["Aiden", "Joseph", "Benjamin", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Aiden is a knight, Joseph is a knave, Benjamin is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Joseph is a knave\n(3) Benjamin is a knave\n(4) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Elizabeth is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Elizabeth is a knave and Joseph is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Aiden that Benjamin is a knight if and only if Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knight then Aiden is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Joseph is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Joseph is a knight then Aiden is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight or Elizabeth is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Benjamin is a knight or Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 3)), ('or', ('telling-truth', 2), ('lying', 3)), ('and', ('lying', 3), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 548}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Isabella, Oliver, and Victoria. In Logan's words: \"Victoria is a knight if and only if Isabella is a knave\". Isabella told you that Oliver is a knave or Victoria is a knave. Oliver said, \"If Isabella is a knight then Victoria is a knave.\" As Victoria put it, \"Logan is not a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Isabella", "Oliver", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Logan is a knight, Isabella is a knave, Oliver is a knight, and Victoria is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Isabella is a knave\n(3) Oliver is a knight\n(4) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Isabella is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Logan is not a knave.", "Isabella cannot be a knight, because this would contradict the claim of Logan that Victoria is a knight if and only if Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Oliver is a knave or Victoria is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Isabella is a knight then Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 1)), ('or', ('lying', 2), ('lying', 3)), ('->', ('telling-truth', 1), ('lying', 3)), ('not', ('lying', 0)))", "index": 549}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Victoria, Ava, and Lucas. \"If Victoria is a knave then Ava is a knave,\" Aria declared. As Victoria put it, \"Aria is a knight and Victoria is a knight\". \"Victoria is a knave and Aria is a knight,\" Ava declared. Lucas said, \"Victoria is a knight and Aria is a knight.\" So who is a knight and who is a knave?", "names": ["Aria", "Victoria", "Ava", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Aria is a knight, Victoria is a knight, Ava is a knave, and Lucas is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Victoria is a knight\n(3) Ava is a knave\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that If Victoria is a knave then Ava is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Aria is a knight and Victoria is a knight.", "Ava cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Aria is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Victoria is a knave and Aria is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Victoria is a knight and Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 550}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Evelyn, Liam, and Sebastian. Olivia was heard saying, \"Liam is a knave or Liam is a knight\". In Evelyn's words: \"If Olivia is a knight then Olivia is a knave\". Liam remarked, \"Sebastian is a knave if and only if Olivia is a knight\". Sebastian said that Evelyn is a knight or Evelyn is a knave. So who is a knight and who is a knave?", "names": ["Olivia", "Evelyn", "Liam", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Olivia is a knight, Evelyn is a knave, Liam is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Evelyn is a knave\n(3) Liam is a knave\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Liam is a knave or Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if Olivia is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Liam that Sebastian is a knave if and only if Olivia is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight or Evelyn is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Sebastian is a knave if and only if Olivia is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Evelyn is a knight or Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that If Olivia is a knight then Olivia is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that If Olivia is a knight then Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 0)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 1)))", "index": 551}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Henry, Riley, and Mia. In Samuel's words: \"Henry is a knave\". \"Henry is a knight if and only if Riley is a knight\" - Henry. \"Henry is a knight,\" Riley mentioned. Mia expressed that Samuel is a knight and Samuel is a knave. So who is a knight and who is a knave?", "names": ["Samuel", "Henry", "Riley", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Samuel is a knave, Henry is a knight, Riley is a knight, and Mia is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Henry is a knight\n(3) Riley is a knight\n(4) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Samuel that Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Henry is a knight.", "Riley cannot be a knave, because this would contradict the false claim of Henry that Henry is a knight if and only if Riley is a knight.", "We have exhausted all possibilities for Riley and Henry, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Henry is a knight if and only if Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Henry is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Samuel is a knight and Samuel is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Samuel is a knight and Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 1), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 552}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Joseph, Aiden, and Alexander. Mia asserted: \"If Aiden is a knight then Alexander is a knave\". In a statement by Joseph: \"Mia is not a knave\". Aiden asserted: \"Mia is not a knight\". Alexander said, \"Mia is a knight and Mia is a knave.\" So who is a knight and who is a knave?", "names": ["Mia", "Joseph", "Aiden", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Mia is a knight, Joseph is a knight, Aiden is a knave, and Alexander is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Joseph is a knight\n(3) Aiden is a knave\n(4) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that If Aiden is a knight then Alexander is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Mia is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Mia is a knight and Mia is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Mia is a knight and Mia is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Mia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 3)), ('not', ('lying', 0)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 553}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Noah, Charlotte, and Grace. \"Charlotte is a knight if and only if Charlotte is a knave,\" Harper mentioned. Noah asserted: \"Charlotte is a knight if and only if Grace is a knave\". \"Harper is not a knight,\" Charlotte claimed. Grace said that If Harper is a knight then Charlotte is a knight. So who is a knight and who is a knave?", "names": ["Harper", "Noah", "Charlotte", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Harper is a knave, Noah is a knave, Charlotte is a knight, and Grace is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Noah is a knave\n(3) Charlotte is a knight\n(4) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Harper cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight if and only if Charlotte is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Harper is not a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Noah that Charlotte is a knight if and only if Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of their own that If Harper is a knight then Charlotte is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that If Harper is a knight then Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "index": 554}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Scarlett, Michael, and Aria. Joseph was heard saying, \"Michael is not a knave\". Scarlett asserted: \"If Michael is a knight then Aria is a knight\". Michael noted, \"Joseph is a knight if and only if Michael is a knight\". Aria said that Michael is a knave. So who is a knight and who is a knave?", "names": ["Joseph", "Scarlett", "Michael", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Joseph is a knight, Scarlett is a knave, Michael is a knight, and Aria is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Scarlett is a knave\n(3) Michael is a knight\n(4) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Michael is not a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Michael is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Michael is a knight then Aria is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Michael is a knave.", "Aria cannot be a knave, because this would contradict the claim of Scarlett that If Michael is a knight then Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Michael is a knight then Aria is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Scarlett that If Michael is a knight then Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 2))", "index": 555}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Sebastian, Alexander, and Aiden. In a statement by Lucas: \"Sebastian is a knave and Alexander is a knight\". According to Sebastian, \"Aiden is a knight or Lucas is a knight\". \"Aiden is a knight and Sebastian is a knight\" - Alexander. Aiden told you that Lucas is a knight and Lucas is a knave. So who is a knight and who is a knave?", "names": ["Lucas", "Sebastian", "Alexander", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Lucas is a knave, Sebastian is a knave, Alexander is a knave, and Aiden is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Sebastian is a knave\n(3) Alexander is a knave\n(4) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Sebastian is a knave and Alexander is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Lucas that Sebastian is a knave and Alexander is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight or Lucas is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sebastian is a knave and Alexander is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Aiden is a knight or Lucas is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Lucas is a knight and Lucas is a knave.", "Aiden cannot be a knave, because this would contradict the claim of Sebastian that Aiden is a knight or Lucas is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Aiden is a knight or Lucas is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Sebastian that Aiden is a knight or Lucas is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Lucas is a knight and Lucas is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Lucas that Sebastian is a knave and Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Aiden is a knight and Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('and', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 556}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Abigail, Oliver, and Sophia. In Olivia's words: \"If Abigail is a knight then Abigail is a knave\". Abigail told you that Sophia is a knight or Oliver is a knave. Oliver said, \"Sophia is not a knave.\" Sophia was heard saying, \"If Abigail is a knave then Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Abigail", "Oliver", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Olivia is a knave, Abigail is a knight, Oliver is a knight, and Sophia is a knight.", "solution_text_format": "(1) Olivia is a knave\n(2) Abigail is a knight\n(3) Oliver is a knight\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that If Abigail is a knight then Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Olivia that If Abigail is a knight then Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Sophia is a knight or Oliver is a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Abigail that Sophia is a knight or Oliver is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Abigail is a knave then Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Sophia is not a knave.", "Oliver cannot be a knave, because this would contradict the false claim of Abigail that Sophia is a knight or Oliver is a knave.", "We have exhausted all possibilities for Oliver, Sophia, and Abigail, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Abigail is a knight then Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Sophia is a knight or Oliver is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Abigail is a knave then Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Sophia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 3), ('lying', 2)), ('not', ('lying', 3)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 557}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Chloe, Grace, and William. As Harper put it, \"Grace is a knave and William is a knave\". Chloe asserted: \"Harper is a knave or William is a knight\". Grace commented, \"Chloe is not a knight\". William expressed that Harper is a knight or Chloe is a knight. So who is a knight and who is a knave?", "names": ["Harper", "Chloe", "Grace", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Harper is a knave, Chloe is a knight, Grace is a knave, and William is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Chloe is a knight\n(3) Grace is a knave\n(4) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Grace is a knave and William is a knave.", "Grace cannot be a knight, because this would contradict the claim of Harper that Grace is a knave and William is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Chloe is not a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Harper is a knave or William is a knight.", "William cannot be a knight, because this would contradict the claim of Harper that Grace is a knave and William is a knave.", "William cannot be a knave, because this would contradict the claim of Chloe that Harper is a knave or William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the false claim of Grace that Chloe is not a knight.", "We have exhausted all possibilities for Chloe and Grace, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Grace is a knave and William is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Chloe is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of Grace that Chloe is not a knight.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Harper is a knave or William is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Chloe is not a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Harper is a knave or William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Harper is a knight or Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 3)), ('not', ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "index": 558}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Scarlett, Logan, and Owen. \"If Scarlett is a knave then Owen is a knight,\" Oliver mentioned. According to Scarlett, \"If Logan is a knight then Scarlett is a knight\". Logan stated, \"If Oliver is a knave then Oliver is a knight\". Owen commented, \"Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Scarlett", "Logan", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Oliver is a knight, Scarlett is a knight, Logan is a knight, and Owen is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Scarlett is a knight\n(3) Logan is a knight\n(4) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that If Scarlett is a knave then Owen is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Logan is a knight then Scarlett is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Oliver is a knave then Oliver is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Oliver is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 0)), ('lying', 0))", "index": 559}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Grace, Olivia, and Charlotte. Matthew commented, \"If Charlotte is a knave then Grace is a knight\". In Grace's words: \"Matthew is a knave\". Olivia asserted: \"Matthew is a knave\". According to Charlotte, \"If Olivia is a knight then Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Grace", "Olivia", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Matthew is a knight, Grace is a knave, Olivia is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Grace is a knave\n(3) Olivia is a knave\n(4) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that If Charlotte is a knave then Grace is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Olivia is a knight then Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Matthew is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Matthew is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Matthew is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 1)), ('lying', 0), ('lying', 0), ('->', ('telling-truth', 2), ('lying', 2)))", "index": 560}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Harper, Mia, and William. \"William is a knave or Mia is a knight\" - Jack. \"If Harper is a knight then William is a knave,\" Harper claimed. In a statement by Mia: \"William is a knave\". In a statement by William: \"William is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Harper", "Mia", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Jack is a knight, Harper is a knight, Mia is a knight, and William is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Harper is a knight\n(3) Mia is a knight\n(4) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that William is a knave or Mia is a knight.", "Assume William is a knight. No contradiction is found in their claim that William is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Mia cannot be a knave, because this would contradict the claim of Jack that William is a knave or Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that William is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that William is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Harper is a knight then William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 3)), ('lying', 3), ('telling-truth', 3))", "index": 561}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Jacob, Evelyn, and Liam. Chloe told you that Evelyn is a knight. \"Liam is a knight or Evelyn is a knight,\" Jacob mentioned. Evelyn asserted: \"Chloe is a knave or Liam is a knave\". Liam commented, \"Chloe is a knave if and only if Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Jacob", "Evelyn", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Chloe is a knight, Jacob is a knight, Evelyn is a knight, and Liam is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Jacob is a knight\n(3) Evelyn is a knight\n(4) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Chloe is a knave or Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Evelyn that Chloe is a knave or Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Evelyn is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Liam is a knight or Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "index": 562}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Daniel, Lily, and Michael. Victoria expressed that If Lily is a knave then Daniel is a knight. Daniel was heard saying, \"Michael is a knight or Lily is a knave\". Lily noted, \"Daniel is not a knight\". \"Victoria is not a knave,\" Michael claimed. So who is a knight and who is a knave?", "names": ["Victoria", "Daniel", "Lily", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Victoria is a knight, Daniel is a knight, Lily is a knave, and Michael is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) Daniel is a knight\n(3) Lily is a knave\n(4) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that If Lily is a knave then Daniel is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Daniel cannot be a knight, because this would contradict the claim of Lily that Daniel is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Michael is a knight or Lily is a knave.", "Michael cannot be a knight, because this would contradict the false claim of Daniel that Michael is a knight or Lily is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that Victoria is not a knave.", "We have exhausted all possibilities for Michael and Daniel, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Daniel is not a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Michael is a knight or Lily is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Victoria is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('lying', 2)), ('not', ('telling-truth', 1)), ('not', ('lying', 0)))", "index": 563}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Jackson, Michael, and Daniel. In Logan's words: \"If Jackson is a knave then Jackson is a knight\". Jackson was heard saying, \"Michael is a knave if and only if Michael is a knight\". Michael noted, \"If Logan is a knave then Daniel is a knight\". According to Daniel, \"Logan is a knight if and only if Jackson is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Jackson", "Michael", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Logan is a knave, Jackson is a knave, Michael is a knight, and Daniel is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Jackson is a knave\n(3) Michael is a knight\n(4) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that If Jackson is a knave then Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Michael is a knave if and only if Michael is a knight.", "Jackson cannot be a knave, because this would contradict the claim of Logan that If Jackson is a knave then Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that If Jackson is a knave then Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Logan that If Jackson is a knave then Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Logan is a knave then Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Logan is a knight if and only if Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 564}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Sebastian, Elizabeth, and Daniel. Logan said that If Daniel is a knave then Logan is a knight. Sebastian was heard saying, \"Logan is a knight and Elizabeth is a knight\". Elizabeth was heard saying, \"Logan is not a knight\". Daniel was heard saying, \"Elizabeth is a knight or Logan is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Sebastian", "Elizabeth", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Logan is a knight, Sebastian is a knave, Elizabeth is a knave, and Daniel is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Sebastian is a knave\n(3) Elizabeth is a knave\n(4) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that If Daniel is a knave then Logan is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Elizabeth is a knight or Logan is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Logan is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Logan is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Elizabeth is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Logan is a knight and Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 0)))", "index": 565}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Chloe, Jacob, and Penelope. Aria expressed that Chloe is a knave and Jacob is a knight. Chloe stated, \"Aria is not a knave\". According to Jacob, \"If Chloe is a knave then Chloe is a knight\". Penelope remarked, \"Chloe is a knight if and only if Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Chloe", "Jacob", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Aria is a knave, Chloe is a knave, Jacob is a knave, and Penelope is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Chloe is a knave\n(3) Jacob is a knave\n(4) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Chloe is a knave and Jacob is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Aria that Chloe is a knave and Jacob is a knight.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Aria is not a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Chloe is a knave and Jacob is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Aria is not a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Aria is not a knave.", "Jacob cannot be a knight, because this would contradict the false claim of Aria that Chloe is a knave and Jacob is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Chloe is a knave then Chloe is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Chloe is a knight if and only if Jacob is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('not', ('lying', 0)), ('->', ('lying', 1), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 2)))", "index": 566}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, Noah, Riley, and Daniel. Sebastian said, \"Riley is a knave if and only if Riley is a knight.\" Noah noted, \"Sebastian is a knight or Sebastian is a knave\". Riley said, \"If Sebastian is a knave then Daniel is a knight.\" \"If Sebastian is a knight then Riley is a knight,\" Daniel mentioned. So who is a knight and who is a knave?", "names": ["Sebastian", "Noah", "Riley", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Sebastian is a knave, Noah is a knight, Riley is a knight, and Daniel is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Noah is a knight\n(3) Riley is a knight\n(4) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Sebastian cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Riley is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Sebastian is a knave then Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Sebastian is a knight then Riley is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Sebastian is a knight or Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 0)), ('->', ('lying', 0), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "index": 567}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, James, Luke, and Samuel. \"Luke is a knight or James is a knight\" - Daniel. James expressed that Daniel is a knight and Luke is a knave. Luke said, \"James is not a knave.\" As Samuel put it, \"If Daniel is a knave then Luke is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "James", "Luke", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Daniel is a knave, James is a knave, Luke is a knave, and Samuel is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) James is a knave\n(3) Luke is a knave\n(4) Samuel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Luke is a knight or James is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that James is not a knave.", "James cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Luke is a knave.", "James cannot be a knave, because this would contradict the claim of Luke that James is not a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that James is not a knave.", "James cannot be a knight, because this would contradict the false claim of Luke that James is not a knave.", "James cannot be a knave, because this would contradict the claim of Daniel that Luke is a knight or James is a knight.", "We have exhausted all possibilities for James and Luke, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Luke is a knight or James is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Daniel that Luke is a knight or James is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that James is not a knave.", "James cannot be a knight, because this would contradict the false claim of Daniel that Luke is a knight or James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Daniel is a knight and Luke is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that If Daniel is a knave then Luke is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Daniel is a knave then Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 2)), ('not', ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 2)))", "index": 568}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Victoria, Aurora, and Abigail. According to Scarlett, \"Abigail is a knight if and only if Abigail is a knave\". Victoria said that Aurora is a knight if and only if Scarlett is a knave. Aurora said, \"Victoria is a knave and Victoria is a knight.\" Abigail said that If Scarlett is a knave then Aurora is a knight. So who is a knight and who is a knave?", "names": ["Scarlett", "Victoria", "Aurora", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Scarlett is a knave, Victoria is a knave, Aurora is a knave, and Abigail is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Victoria is a knave\n(3) Aurora is a knave\n(4) Abigail is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Scarlett cannot be a knight, because this would contradict the claim of their own that Abigail is a knight if and only if Abigail is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Scarlett is a knave then Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Victoria is a knight.", "Aurora cannot be a knave, because this would contradict the claim of Abigail that If Scarlett is a knave then Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Scarlett is a knave then Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Victoria is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Victoria is a knave and Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Aurora is a knight if and only if Scarlett is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 3)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 2)))", "index": 569}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Luke, Ethan, and Joseph. Charlotte asserted: \"Joseph is a knave\". \"Ethan is a knave if and only if Luke is a knight,\" Luke mentioned. Ethan was heard saying, \"Charlotte is a knave\". In Joseph's words: \"Luke is not a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Luke", "Ethan", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Charlotte is a knight, Luke is a knave, Ethan is a knave, and Joseph is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Luke is a knave\n(3) Ethan is a knave\n(4) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Charlotte that Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Luke is not a knave.", "Luke cannot be a knight, because this would contradict the false claim of Joseph that Luke is not a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Luke is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Luke that Ethan is a knave if and only if Luke is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('<=>', ('lying', 2), ('telling-truth', 1)), ('lying', 0), ('not', ('lying', 1)))", "index": 570}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Sofia, Aria, and Luke. \"Aria is a knave,\" Harper mentioned. In Sofia's words: \"Aria is not a knave\". Aria stated, \"Luke is a knave\". \"Sofia is a knight or Sofia is a knave,\" Luke declared. So who is a knight and who is a knave?", "names": ["Harper", "Sofia", "Aria", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Harper is a knight, Sofia is a knave, Aria is a knave, and Luke is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Sofia is a knave\n(3) Aria is a knave\n(4) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Harper that Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Sofia is a knight or Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that Aria is not a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Aria is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('not', ('lying', 2)), ('lying', 3), ('or', ('telling-truth', 1), ('lying', 1)))", "index": 571}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Olivia, Avery, and Mia. In Alexander's words: \"If Mia is a knave then Avery is a knave\". \"Alexander is a knave if and only if Avery is a knight,\" Olivia claimed. As Avery put it, \"Avery is a knight\". Mia expressed that Alexander is a knave and Olivia is a knight. So who is a knight and who is a knave?", "names": ["Alexander", "Olivia", "Avery", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Alexander is a knight, Olivia is a knight, Avery is a knave, and Mia is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Olivia is a knight\n(3) Avery is a knave\n(4) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that If Mia is a knave then Avery is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Olivia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Alexander is a knave and Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Avery is a knight.", "Avery cannot be a knight, because this would contradict the claim of Alexander that If Mia is a knave then Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('telling-truth', 2), ('and', ('lying', 0), ('telling-truth', 1)))", "index": 572}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Jacob, Alexander, and Emma. Lucas told you that Alexander is a knight or Lucas is a knight. According to Jacob, \"Emma is not a knight\". Alexander noted, \"Emma is a knave and Lucas is a knight\". Emma was heard saying, \"Alexander is a knight and Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Jacob", "Alexander", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Lucas is a knave, Jacob is a knight, Alexander is a knave, and Emma is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Jacob is a knight\n(3) Alexander is a knave\n(4) Emma is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Alexander is a knight or Lucas is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Emma is a knave and Lucas is a knight.", "Emma cannot be a knight, because this would contradict the claim of Alexander that Emma is a knave and Lucas is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight and Lucas is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Emma is a knave and Lucas is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Lucas is a knight.", "Emma cannot be a knave, because this would contradict the false claim of Alexander that Emma is a knave and Lucas is a knight.", "We have exhausted all possibilities for Emma and Alexander, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Alexander is a knight or Lucas is a knight.", "Alexander cannot be a knight, because this would contradict the false claim of Lucas that Alexander is a knight or Lucas is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Emma is a knave and Lucas is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Lucas is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Alexander is a knight and Lucas is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Emma is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 3)), ('and', ('lying', 3), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 0)))", "index": 573}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, James, Victoria, and Elizabeth. In a statement by Owen: \"James is a knight\". James was heard saying, \"Victoria is not a knave\". In Victoria's words: \"Elizabeth is a knight and James is a knave\". Elizabeth stated, \"Owen is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "James", "Victoria", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Owen is a knave, James is a knave, Victoria is a knave, and Elizabeth is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) James is a knave\n(3) Victoria is a knave\n(4) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and James is a knave.", "Victoria cannot be a knave, because this would contradict the claim of James that Victoria is not a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Owen that James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that James is a knight.", "James cannot be a knight, because this would contradict the false claim of Owen that James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Victoria is not a knave.", "Victoria cannot be a knight, because this would contradict the false claim of James that Victoria is not a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Elizabeth is a knight and James is a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Victoria that Elizabeth is a knight and James is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('not', ('lying', 2)), ('and', ('telling-truth', 3), ('lying', 1)), ('telling-truth', 0))", "index": 574}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Riley, James, and Lily. As David put it, \"Riley is a knight if and only if Lily is a knave\". Riley commented, \"Riley is a knight if and only if James is a knave\". In James's words: \"Lily is a knave or David is a knave\". Lily said that Lily is a knight or Riley is a knave. So who is a knight and who is a knave?", "names": ["David", "Riley", "James", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "David is a knight, Riley is a knave, James is a knave, and Lily is a knight.", "solution_text_format": "(1) David is a knight\n(2) Riley is a knave\n(3) James is a knave\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Riley is a knight if and only if Lily is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Riley is a knight if and only if James is a knave.", "James cannot be a knight, because this would contradict the claim of Riley that Riley is a knight if and only if James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Lily is a knave or David is a knave.", "Lily cannot be a knight, because this would contradict the claim of David that Riley is a knight if and only if Lily is a knave.", "Lily cannot be a knave, because this would contradict the false claim of James that Lily is a knave or David is a knave.", "We have exhausted all possibilities for Lily and James, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Riley is a knight if and only if James is a knave.", "James cannot be a knight, because this would contradict the false claim of Riley that Riley is a knight if and only if James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Lily is a knave or David is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight or Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 3)), ('<=>', ('telling-truth', 1), ('lying', 2)), ('or', ('lying', 3), ('lying', 0)), ('or', ('telling-truth', 3), ('lying', 1)))", "index": 575}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Zoey, Alexander, and Abigail. \"Zoey is a knight,\" Daniel claimed. Zoey said that Daniel is a knight if and only if Zoey is a knight. Alexander expressed that Abigail is a knight if and only if Abigail is a knave. In Abigail's words: \"Alexander is not a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Zoey", "Alexander", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Daniel is a knight, Zoey is a knight, Alexander is a knave, and Abigail is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Zoey is a knight\n(3) Alexander is a knave\n(4) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Zoey is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Abigail is a knight if and only if Abigail is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Alexander is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('not', ('telling-truth', 2)))", "index": 576}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Aria, Scarlett, and Lucas. Lily was heard saying, \"Scarlett is a knight and Scarlett is a knave\". Aria expressed that Lucas is a knave or Scarlett is a knight. Scarlett was heard saying, \"If Aria is a knave then Scarlett is a knight\". In a statement by Lucas: \"Aria is a knight or Lily is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Aria", "Scarlett", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Lily is a knave, Aria is a knight, Scarlett is a knight, and Lucas is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Aria is a knight\n(3) Scarlett is a knight\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Lily cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight and Scarlett is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Scarlett is a knight and Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Aria is a knave then Scarlett is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Lucas is a knave or Scarlett is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Aria is a knight or Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 3), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('telling-truth', 0)))", "index": 577}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Evelyn, Matthew, and Sebastian. Logan noted, \"Evelyn is a knight or Logan is a knight\". Evelyn was heard saying, \"Sebastian is a knight or Matthew is a knave\". Matthew remarked, \"Sebastian is a knave or Logan is a knave\". \"Logan is a knave and Matthew is a knight,\" Sebastian claimed. So who is a knight and who is a knave?", "names": ["Logan", "Evelyn", "Matthew", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Logan is a knight, Evelyn is a knave, Matthew is a knight, and Sebastian is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Evelyn is a knave\n(3) Matthew is a knight\n(4) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Evelyn is a knight or Logan is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Sebastian is a knight or Matthew is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Logan is a knave and Matthew is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Logan is a knave and Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Evelyn that Sebastian is a knight or Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knave or Logan is a knave.", "We have exhausted all possibilities for Matthew and Sebastian, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Sebastian is a knight or Matthew is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Evelyn that Sebastian is a knight or Matthew is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Logan is a knave and Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Sebastian is a knave or Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('lying', 2)), ('or', ('lying', 3), ('lying', 0)), ('and', ('lying', 0), ('telling-truth', 2)))", "index": 578}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Evelyn, Lucas, and Michael. In James's words: \"Evelyn is a knight\". Evelyn asserted: \"Lucas is a knight if and only if James is a knight\". Lucas expressed that James is not a knight. Michael said that Michael is a knight or Lucas is a knight. So who is a knight and who is a knave?", "names": ["James", "Evelyn", "Lucas", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "James is a knave, Evelyn is a knave, Lucas is a knight, and Michael is a knight.", "solution_text_format": "(1) James is a knave\n(2) Evelyn is a knave\n(3) Lucas is a knight\n(4) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Lucas is a knight if and only if James is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that James is not a knight.", "Lucas cannot be a knave, because this would contradict the claim of Evelyn that Lucas is a knight if and only if James is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Evelyn.", "Evelyn cannot be a knave, because this would contradict the claim of James that Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the false claim of James that Evelyn is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if James is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that James is not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight or Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 3), ('telling-truth', 2)))", "index": 579}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Sofia, Harper, and Henry. \"Harper is a knave and Victoria is a knight\" - Victoria. In a statement by Sofia: \"Victoria is a knight or Harper is a knave\". Harper noted, \"Victoria is not a knave\". \"Harper is a knave and Sofia is a knave,\" Henry mentioned. So who is a knight and who is a knave?", "names": ["Victoria", "Sofia", "Harper", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Victoria is a knave, Sofia is a knight, Harper is a knave, and Henry is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Sofia is a knight\n(3) Harper is a knave\n(4) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Harper is a knave and Victoria is a knight.", "Harper cannot be a knight, because this would contradict the claim of Victoria that Harper is a knave and Victoria is a knight.", "Harper cannot be a knave, because this would contradict the false claim of their own that Victoria is not a knave.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Harper is a knave and Victoria is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Victoria is not a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Victoria is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Victoria is a knight or Harper is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Sofia is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Harper is a knave and Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 2)), ('not', ('lying', 0)), ('and', ('lying', 2), ('lying', 1)))", "index": 580}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Ella, Sebastian, and Noah. Mason noted, \"Sebastian is not a knave\". Ella told you that Sebastian is a knave. Sebastian said that Ella is a knight or Mason is a knight. \"Ella is a knight and Ella is a knave\" - Noah. So who is a knight and who is a knave?", "names": ["Mason", "Ella", "Sebastian", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Mason is a knight, Ella is a knave, Sebastian is a knight, and Noah is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Ella is a knave\n(3) Sebastian is a knight\n(4) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Ella is a knight or Mason is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Ella is a knight and Ella is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Ella is a knight and Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('lying', 2), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 1)))", "index": 581}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Emily, Aurora, and Olivia. Aria expressed that Emily is not a knight. Emily told you that Aurora is not a knave. As Aurora put it, \"Emily is a knave and Olivia is a knight\". Olivia noted, \"Aurora is a knight and Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Emily", "Aurora", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Aria is a knight, Emily is a knave, Aurora is a knave, and Olivia is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Emily is a knave\n(3) Aurora is a knave\n(4) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Emily is not a knight.", "Emily cannot be a knight, because this would contradict the claim of Aria that Emily is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Aurora is not a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Emily that Aurora is not a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Emily is a knave and Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Aurora that Emily is a knave and Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Aurora is a knight and Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('not', ('lying', 2)), ('and', ('lying', 1), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 3)))", "index": 582}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, Oliver, Victoria, and Ethan. \"Victoria is not a knave\" - Sebastian. Oliver remarked, \"Victoria is a knave or Sebastian is a knight\". As Victoria put it, \"Oliver is a knave\". In a statement by Ethan: \"Victoria is a knave and Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Oliver", "Victoria", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Sebastian is a knave, Oliver is a knight, Victoria is a knave, and Ethan is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Oliver is a knight\n(3) Victoria is a knave\n(4) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Victoria that Oliver is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Victoria is a knave or Sebastian is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Sebastian that Victoria is not a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Victoria is not a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Sebastian that Victoria is not a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Victoria is a knave or Sebastian is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Victoria is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Victoria is a knave and Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('lying', 2), ('telling-truth', 0)), ('lying', 1), ('and', ('lying', 2), ('telling-truth', 2)))", "index": 583}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Samuel, William, and Olivia. Ella remarked, \"William is a knight if and only if William is a knave\". In Samuel's words: \"Ella is a knight or William is a knight\". According to William, \"Ella is a knave\". Olivia asserted: \"Ella is a knight if and only if Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Samuel", "William", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Ella is a knave, Samuel is a knight, William is a knight, and Olivia is a knave.", "solution_text_format": "(1) Ella is a knave\n(2) Samuel is a knight\n(3) William is a knight\n(4) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Ella cannot be a knight, because this would contradict the claim of their own that William is a knight if and only if William is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that William is a knight if and only if William is a knave.", "Assume William is a knight. No contradiction is found in their claim that Ella is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Ella is a knight or William is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Ella is a knight if and only if Samuel is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 0), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 584}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, James, Oliver, and Jacob. Olivia remarked, \"Jacob is a knight and Jacob is a knave\". According to James, \"Oliver is a knave if and only if Olivia is a knave\". Oliver noted, \"James is a knave or Olivia is a knave\". \"Olivia is a knight,\" Jacob mentioned. So who is a knight and who is a knave?", "names": ["Olivia", "James", "Oliver", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Olivia is a knave, James is a knave, Oliver is a knight, and Jacob is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) James is a knave\n(3) Oliver is a knight\n(4) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Olivia cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Jacob is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Jacob is a knight and Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Olivia is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Olivia is a knight.", "Assume James is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Olivia is a knave.", "Oliver cannot be a knight, because this would contradict the claim of James that Oliver is a knave if and only if Olivia is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that James is a knave or Olivia is a knave.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Olivia is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that James is a knave or Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 3)), ('<=>', ('lying', 2), ('lying', 0)), ('or', ('lying', 1), ('lying', 0)), ('telling-truth', 0))", "index": 585}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Ethan, Owen, and Emily. Ella noted, \"Emily is a knight or Owen is a knight\". Ethan said that Owen is a knight or Ella is a knight. As Owen put it, \"Owen is a knight if and only if Ella is a knave\". Emily commented, \"Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Ethan", "Owen", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Ella is a knave, Ethan is a knave, Owen is a knave, and Emily is a knave.", "solution_text_format": "(1) Ella is a knave\n(2) Ethan is a knave\n(3) Owen is a knave\n(4) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Emily is a knight or Owen is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Owen is a knight or Ella is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Owen is a knight if and only if Ella is a knave.", "Owen cannot be a knave, because this would contradict the false claim of their own that Owen is a knight if and only if Ella is a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Owen is a knight or Ella is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Emily that Ethan is a knight.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Owen is a knight or Ella is a knight.", "We have exhausted all possibilities for Ethan and Emily, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Emily is a knight or Owen is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Ella that Emily is a knight or Owen is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Emily that Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Owen is a knight or Ella is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Ella that Emily is a knight or Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('telling-truth', 1))", "index": 586}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Logan, Aria, and Lucas. In Evelyn's words: \"Aria is a knight and Aria is a knave\". In a statement by Logan: \"Aria is a knight\". Aria remarked, \"Evelyn is a knight\". Lucas told you that Logan is not a knave. So who is a knight and who is a knave?", "names": ["Evelyn", "Logan", "Aria", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Evelyn is a knave, Logan is a knave, Aria is a knave, and Lucas is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Logan is a knave\n(3) Aria is a knave\n(4) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Evelyn cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Aria is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Aria is a knight and Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Evelyn is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Aria is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Aria is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Logan is not a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Logan is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 2), ('telling-truth', 0), ('not', ('lying', 1)))", "index": 587}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Grace, Benjamin, and Lucas. Scarlett commented, \"Grace is not a knave\". \"Scarlett is a knight or Scarlett is a knave,\" Grace declared. Benjamin told you that Lucas is a knight if and only if Lucas is a knave. Lucas stated, \"Benjamin is a knave if and only if Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Grace", "Benjamin", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Scarlett is a knight, Grace is a knight, Benjamin is a knave, and Lucas is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Grace is a knight\n(3) Benjamin is a knave\n(4) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Scarlett is a knight or Scarlett is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Lucas is a knight if and only if Lucas is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave if and only if Benjamin is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 0)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('<=>', ('lying', 2), ('telling-truth', 2)))", "index": 588}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Ethan, Charlotte, and James. \"Charlotte is a knight or Ethan is a knight\" - Michael. \"Charlotte is not a knave,\" Ethan claimed. In Charlotte's words: \"If James is a knave then Charlotte is a knight\". According to James, \"Charlotte is a knave if and only if Ethan is a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Ethan", "Charlotte", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Michael is a knight, Ethan is a knight, Charlotte is a knight, and James is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Ethan is a knight\n(3) Charlotte is a knight\n(4) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Charlotte is a knight or Ethan is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If James is a knave then Charlotte is a knight.", "Assume James is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Charlotte is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 2)), ('<=>', ('lying', 2), ('lying', 1)))", "index": 589}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Elizabeth, Noah, and Scarlett. \"Noah is not a knight\" - William. Elizabeth said that William is a knight or Noah is a knave. Noah was heard saying, \"Noah is a knight and William is a knight\". \"Elizabeth is a knave if and only if William is a knave,\" Scarlett mentioned. So who is a knight and who is a knave?", "names": ["William", "Elizabeth", "Noah", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "William is a knight, Elizabeth is a knight, Noah is a knave, and Scarlett is a knight.", "solution_text_format": "(1) William is a knight\n(2) Elizabeth is a knight\n(3) Noah is a knave\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Noah is not a knight.", "Noah cannot be a knight, because this would contradict the claim of William that Noah is not a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Noah is a knight and William is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that William is a knight or Noah is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Elizabeth is a knave if and only if William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('lying', 1), ('lying', 0)))", "index": 590}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Jacob, David, and Lucas. Samuel commented, \"Jacob is not a knave\". Jacob commented, \"Lucas is a knight if and only if Lucas is a knave\". In a statement by David: \"Jacob is a knave if and only if Jacob is a knight\". In a statement by Lucas: \"Jacob is a knight if and only if David is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Jacob", "David", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Samuel is a knave, Jacob is a knave, David is a knave, and Lucas is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Jacob is a knave\n(3) David is a knave\n(4) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Jacob is not a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Lucas is a knight if and only if Lucas is a knave.", "Jacob cannot be a knave, because this would contradict the claim of Samuel that Jacob is not a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Jacob is not a knave.", "Jacob cannot be a knight, because this would contradict the false claim of Samuel that Jacob is not a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Jacob is a knight if and only if David is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Jacob is a knave if and only if Jacob is a knight.", "David cannot be a knave, because this would contradict the claim of Lucas that Jacob is a knight if and only if David is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if David is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Jacob is a knave if and only if Jacob is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('<=>', ('lying', 1), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 2)))", "index": 591}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Liam, Matthew, and Ella. \"Ella is a knave\" - Luke. As Liam put it, \"Liam is a knight if and only if Luke is a knave\". Matthew said, \"Liam is a knave if and only if Ella is a knight.\" Ella was heard saying, \"Matthew is not a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Liam", "Matthew", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Luke is a knave, Liam is a knight, Matthew is a knave, and Ella is a knight.", "solution_text_format": "(1) Luke is a knave\n(2) Liam is a knight\n(3) Matthew is a knave\n(4) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Luke that Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Liam is a knave if and only if Ella is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if Luke is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that Liam is a knight if and only if Luke is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the false claim of Ella that Matthew is not a knight.", "We have exhausted all possibilities for Matthew and Ella, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Matthew is not a knight.", "Matthew cannot be a knight, because this would contradict the claim of Ella that Matthew is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Ella is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Liam is a knight if and only if Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('<=>', ('telling-truth', 1), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('not', ('telling-truth', 2)))", "index": 592}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Zoey, Mason, and Emma. \"Mason is a knave and Emma is a knight,\" Liam claimed. Zoey expressed that Mason is a knave or Liam is a knave. Mason commented, \"Zoey is a knight if and only if Zoey is a knave\". Emma stated, \"If Zoey is a knight then Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Zoey", "Mason", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Liam is a knave, Zoey is a knight, Mason is a knave, and Emma is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Zoey is a knight\n(3) Mason is a knave\n(4) Emma is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Mason is a knave and Emma is a knight.", "Mason cannot be a knight, because this would contradict the claim of Liam that Mason is a knave and Emma is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Mason is a knave or Liam is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that If Zoey is a knight then Zoey is a knave.", "Emma cannot be a knave, because this would contradict the claim of Liam that Mason is a knave and Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Mason is a knave or Liam is a knave.", "We have exhausted all possibilities for Zoey and Mason, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Mason is a knave and Emma is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Zoey is a knight if and only if Zoey is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Mason is a knave or Liam is a knave.", "Emma cannot be a knight, because this would contradict the false claim of Liam that Mason is a knave and Emma is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that If Zoey is a knight then Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('or', ('lying', 2), ('lying', 0)), ('<=>', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 593}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Jacob, Chloe, and Grace. Matthew noted, \"If Grace is a knave then Jacob is a knave\". Jacob stated, \"Matthew is a knight if and only if Grace is a knave\". According to Chloe, \"Chloe is a knight or Jacob is a knave\". Grace was heard saying, \"Grace is a knight and Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Jacob", "Chloe", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Matthew is a knight, Jacob is a knave, Chloe is a knight, and Grace is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Jacob is a knave\n(3) Chloe is a knight\n(4) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that If Grace is a knave then Jacob is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight and Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Matthew is a knight if and only if Grace is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Grace is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight or Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('or', ('telling-truth', 2), ('lying', 1)), ('and', ('telling-truth', 3), ('lying', 1)))", "index": 594}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Henry, Logan, and Mia. In Riley's words: \"If Mia is a knave then Henry is a knave\". In a statement by Henry: \"Mia is a knave or Henry is a knight\". Logan stated, \"If Henry is a knight then Mia is a knave\". Mia noted, \"Logan is a knight or Riley is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Henry", "Logan", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Riley is a knight, Henry is a knave, Logan is a knight, and Mia is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Henry is a knave\n(3) Logan is a knight\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that If Mia is a knave then Henry is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Logan is a knight or Riley is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Henry is a knight then Mia is a knave.", "Henry cannot be a knight, because this would contradict the claim of Logan that If Henry is a knight then Mia is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Mia is a knave or Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 1)), ('or', ('lying', 3), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 3)), ('or', ('telling-truth', 2), ('lying', 0)))", "index": 595}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Aiden, Joseph, and Mia. Noah expressed that Noah is a knight if and only if Joseph is a knight. Aiden said, \"If Noah is a knight then Noah is a knave.\" In Joseph's words: \"Joseph is a knight and Aiden is a knave\". Mia remarked, \"Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Noah", "Aiden", "Joseph", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Noah is a knight, Aiden is a knave, Joseph is a knight, and Mia is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Aiden is a knave\n(3) Joseph is a knight\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Noah is a knight if and only if Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Joseph is a knight and Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that If Noah is a knight then Noah is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Noah is a knight then Noah is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 0)), ('and', ('telling-truth', 2), ('lying', 1)), ('lying', 1))", "index": 596}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Grace, Luke, and William. Owen noted, \"Grace is a knave or William is a knave\". Grace told you that William is a knight and Grace is a knight. Luke asserted: \"Grace is a knave\". William was heard saying, \"Grace is a knave and Luke is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Grace", "Luke", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Owen is a knight, Grace is a knave, Luke is a knight, and William is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Grace is a knave\n(3) Luke is a knight\n(4) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Grace is a knave or William is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that William is a knight and Grace is a knight.", "William cannot be a knight, because this would contradict the claim of Owen that Grace is a knave or William is a knave.", "William cannot be a knave, because this would contradict the claim of Grace that William is a knight and Grace is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that William is a knight and Grace is a knight.", "Assume William is a knight. No contradiction is found in their claim that Grace is a knave and Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('and', ('telling-truth', 3), ('telling-truth', 1)), ('lying', 1), ('and', ('lying', 1), ('telling-truth', 2)))", "index": 597}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Jacob, Matthew, and Mia. \"Mia is a knave or Ella is a knight,\" Ella mentioned. Jacob said, \"Matthew is a knight and Ella is a knave.\" Matthew noted, \"Mia is a knave if and only if Ella is a knave\". \"Matthew is a knight or Ella is a knight,\" Mia declared. So who is a knight and who is a knave?", "names": ["Ella", "Jacob", "Matthew", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Ella is a knight, Jacob is a knave, Matthew is a knight, and Mia is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Jacob is a knave\n(3) Matthew is a knight\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Mia is a knave or Ella is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Matthew is a knight or Ella is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Mia is a knave if and only if Ella is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Ella is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Matthew is a knight and Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('lying', 0)), ('<=>', ('lying', 3), ('lying', 0)), ('or', ('telling-truth', 2), ('telling-truth', 0)))", "index": 598}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, Evelyn, Sophia, and Charlotte. According to Sebastian, \"Evelyn is not a knight\". Evelyn remarked, \"Sebastian is a knave or Sophia is a knight\". According to Sophia, \"Charlotte is a knight or Evelyn is a knave\". Charlotte was heard saying, \"Charlotte is a knight if and only if Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Evelyn", "Sophia", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Sebastian is a knave, Evelyn is a knight, Sophia is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Evelyn is a knight\n(3) Sophia is a knave\n(4) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Evelyn is not a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Sebastian that Evelyn is not a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Sebastian is a knave or Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Evelyn that Sebastian is a knave or Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight or Evelyn is a knave.", "We have exhausted all possibilities for Sophia and Evelyn, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Evelyn is not a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Sebastian is a knave or Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Charlotte is a knight or Evelyn is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight if and only if Sophia is a knave.", "Charlotte cannot be a knave, because this would contradict the claim of Sophia that Charlotte is a knight or Evelyn is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Charlotte is a knight or Evelyn is a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Sophia that Charlotte is a knight or Evelyn is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 2)), ('or', ('telling-truth', 3), ('lying', 1)), ('<=>', ('telling-truth', 3), ('lying', 2)))", "index": 599}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Emily, Luke, and Chloe. Henry stated, \"Emily is a knight if and only if Luke is a knight\". \"Chloe is a knight,\" Emily declared. \"Emily is a knave or Luke is a knight\" - Luke. \"Henry is a knave\" - Chloe. So who is a knight and who is a knave?", "names": ["Henry", "Emily", "Luke", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Henry is a knave, Emily is a knight, Luke is a knave, and Chloe is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Emily is a knight\n(3) Luke is a knave\n(4) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Emily is a knight if and only if Luke is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Chloe cannot be a knave, because this would contradict the claim of Emily that Chloe is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Emily that Chloe is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Henry is a knave.", "Luke cannot be a knight, because this would contradict the claim of Henry that Emily is a knight if and only if Luke is a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that Emily is a knave or Luke is a knight.", "We have exhausted all possibilities for Luke, Chloe, and Emily, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Luke is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Henry is a knave.", "Luke cannot be a knight, because this would contradict the false claim of Henry that Emily is a knight if and only if Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Emily is a knave or Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 3), ('or', ('lying', 1), ('telling-truth', 2)), ('lying', 0))", "index": 600}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Elizabeth, Michael, and James. Alexander was heard saying, \"If Michael is a knight then Elizabeth is a knight\". Elizabeth told you that If James is a knight then James is a knave. Michael expressed that Alexander is not a knave. James commented, \"Elizabeth is a knave and Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Elizabeth", "Michael", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Alexander is a knight, Elizabeth is a knight, Michael is a knight, and James is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Elizabeth is a knight\n(3) Michael is a knight\n(4) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that If Michael is a knight then Elizabeth is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If James is a knight then James is a knave.", "James cannot be a knight, because this would contradict the claim of Elizabeth that If James is a knight then James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('lying', 3)), ('not', ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 1)))", "index": 601}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Scarlett, Samuel, and Elizabeth. \"If Scarlett is a knave then Samuel is a knave\" - Joseph. \"Joseph is not a knave,\" Scarlett mentioned. Samuel commented, \"Scarlett is a knave if and only if Elizabeth is a knight\". According to Elizabeth, \"Joseph is a knight and Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Scarlett", "Samuel", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Joseph is a knight, Scarlett is a knight, Samuel is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Scarlett is a knight\n(3) Samuel is a knave\n(4) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that If Scarlett is a knave then Samuel is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Samuel that Scarlett is a knave if and only if Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Joseph is a knight and Scarlett is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Joseph is a knight and Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('not', ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 602}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aurora, Luke, James, and Zoey. Aurora remarked, \"James is a knave\". In a statement by Luke: \"Aurora is a knight if and only if Zoey is a knight\". James remarked, \"Aurora is a knave and Aurora is a knight\". \"Luke is a knight if and only if Luke is a knave,\" Zoey mentioned. So who is a knight and who is a knave?", "names": ["Aurora", "Luke", "James", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Aurora is a knight, Luke is a knave, James is a knave, and Zoey is a knave.", "solution_text_format": "(1) Aurora is a knight\n(2) Luke is a knave\n(3) James is a knave\n(4) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of Aurora that James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Aurora is a knave and Aurora is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Luke is a knight if and only if Luke is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Luke that Aurora is a knight if and only if Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Luke that Aurora is a knight if and only if Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('and', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "index": 603}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Harper, Mason, and Aurora. Ava expressed that Aurora is a knight or Mason is a knave. Harper was heard saying, \"If Aurora is a knight then Ava is a knave\". Mason noted, \"Ava is not a knave\". \"If Harper is a knight then Harper is a knave\" - Aurora. So who is a knight and who is a knave?", "names": ["Ava", "Harper", "Mason", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Ava is a knight, Harper is a knave, Mason is a knight, and Aurora is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Harper is a knave\n(3) Mason is a knight\n(4) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Aurora is a knight or Mason is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that If Harper is a knight then Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that If Aurora is a knight then Ava is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that If Aurora is a knight then Ava is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Ava is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 2)), ('->', ('telling-truth', 3), ('lying', 0)), ('not', ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 604}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, David, Emily, and Evelyn. \"Emily is a knight if and only if David is a knave\" - Ella. David remarked, \"Emily is a knave\". Emily said that Ella is not a knave. Evelyn was heard saying, \"David is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "David", "Emily", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Ella is a knight, David is a knave, Emily is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) David is a knave\n(3) Emily is a knight\n(4) Evelyn is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Emily is a knight if and only if David is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Ella is not a knave.", "David cannot be a knight, because this would contradict the claim of Ella that Emily is a knight if and only if David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Emily is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that David is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('lying', 2), ('not', ('lying', 0)), ('telling-truth', 1))", "index": 605}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Joseph, Abigail, and Daniel. In a statement by Harper: \"Abigail is a knight or Daniel is a knight\". Joseph asserted: \"Daniel is a knave or Harper is a knave\". Abigail stated, \"Daniel is a knight or Joseph is a knight\". Daniel was heard saying, \"If Harper is a knave then Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Joseph", "Abigail", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Harper is a knight, Joseph is a knave, Abigail is a knight, and Daniel is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Joseph is a knave\n(3) Abigail is a knight\n(4) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Abigail is a knight or Daniel is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Daniel is a knight or Joseph is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Harper is a knave then Daniel is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Daniel is a knave or Harper is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Daniel is a knave or Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('lying', 3), ('lying', 0)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 3)))", "index": 606}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Liam, Jacob, and Noah. \"Jacob is a knight or Liam is a knave\" - Michael. Liam stated, \"Noah is a knave\". Jacob asserted: \"Liam is a knight and Noah is a knave\". As Noah put it, \"Liam is a knight and Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Liam", "Jacob", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Michael is a knight, Liam is a knight, Jacob is a knight, and Noah is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Liam is a knight\n(3) Jacob is a knight\n(4) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Jacob is a knight or Liam is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Liam is a knight and Noah is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Liam that Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Liam is a knight and Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('lying', 3), ('and', ('telling-truth', 1), ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 2)))", "index": 607}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Liam, Sebastian, and Elizabeth. Victoria asserted: \"Victoria is a knight if and only if Liam is a knight\". \"Victoria is a knave,\" Liam claimed. \"Victoria is a knave and Elizabeth is a knight,\" Sebastian claimed. Elizabeth asserted: \"Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "Liam", "Sebastian", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Victoria is a knave, Liam is a knight, Sebastian is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Liam is a knight\n(3) Sebastian is a knight\n(4) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Victoria is a knave.", "Liam cannot be a knave, because this would contradict the claim of Victoria that Victoria is a knight if and only if Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Victoria is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Victoria is a knave and Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 0), ('and', ('lying', 0), ('telling-truth', 3)), ('lying', 0))", "index": 608}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Jacob, Owen, and Scarlett. \"Jacob is not a knight,\" Michael mentioned. Jacob noted, \"Michael is a knight and Owen is a knave\". \"Scarlett is a knight or Scarlett is a knave,\" Owen mentioned. \"Michael is a knight if and only if Jacob is a knight,\" Scarlett declared. So who is a knight and who is a knave?", "names": ["Michael", "Jacob", "Owen", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Michael is a knight, Jacob is a knave, Owen is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Jacob is a knave\n(3) Owen is a knight\n(4) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of Michael that Jacob is not a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Michael is a knight and Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Scarlett is a knight or Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Michael is a knight if and only if Jacob is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 2)), ('or', ('telling-truth', 3), ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 609}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Aurora, David, and Penelope. \"Penelope is a knight and Aurora is a knight\" - Elizabeth. Aurora said that Elizabeth is a knave or Elizabeth is a knight. As David put it, \"If David is a knight then Penelope is a knave\". \"Aurora is a knight and Elizabeth is a knight,\" Penelope claimed. So who is a knight and who is a knave?", "names": ["Elizabeth", "Aurora", "David", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Elizabeth is a knave, Aurora is a knight, David is a knight, and Penelope is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Aurora is a knight\n(3) David is a knight\n(4) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Penelope is a knight and Aurora is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Aurora is a knight and Elizabeth is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Elizabeth is a knave or Elizabeth is a knight.", "David cannot be a knight, because this would contradict the claim of their own that If David is a knight then Penelope is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that If David is a knight then Penelope is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Elizabeth that Penelope is a knight and Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the claim of Elizabeth that Penelope is a knight and Aurora is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Penelope is a knight and Aurora is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Elizabeth is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Aurora is a knight and Elizabeth is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Elizabeth is a knave or Elizabeth is a knight.", "Assume David is a knight. No contradiction is found in their claim that If David is a knight then Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('lying', 3)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 610}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Mia, Grace, and Liam. Elizabeth said that Liam is a knight. Mia said, \"Grace is not a knight.\" Grace stated, \"Elizabeth is a knight and Mia is a knight\". As Liam put it, \"Mia is a knave if and only if Grace is a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Mia", "Grace", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Elizabeth is a knave, Mia is a knight, Grace is a knave, and Liam is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Mia is a knight\n(3) Grace is a knave\n(4) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Mia is a knave if and only if Grace is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of Mia that Grace is not a knight.", "Grace cannot be a knave, because this would contradict the false claim of their own that Elizabeth is a knight and Mia is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and Mia is a knight.", "Grace cannot be a knave, because this would contradict the false claim of Mia that Grace is not a knight.", "We have exhausted all possibilities for Grace and Mia, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Elizabeth that Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Elizabeth that Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Grace is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of Mia that Grace is not a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 1), ('lying', 2)))", "index": 611}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Samuel, Sebastian, and Aria. Penelope commented, \"If Samuel is a knight then Samuel is a knave\". Samuel said, \"Aria is a knave if and only if Penelope is a knave.\" \"Penelope is a knave,\" Sebastian claimed. \"Samuel is not a knight,\" Aria declared. So who is a knight and who is a knave?", "names": ["Penelope", "Samuel", "Sebastian", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Penelope is a knave, Samuel is a knight, Sebastian is a knight, and Aria is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Samuel is a knight\n(3) Sebastian is a knight\n(4) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that If Samuel is a knight then Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Penelope that If Samuel is a knight then Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Penelope is a knave.", "Aria cannot be a knight, because this would contradict the false claim of Samuel that Aria is a knave if and only if Penelope is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that Samuel is not a knight.", "We have exhausted all possibilities for Aria and Samuel, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that If Samuel is a knight then Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Aria is a knave if and only if Penelope is a knave.", "Aria cannot be a knight, because this would contradict the claim of Samuel that Aria is a knave if and only if Penelope is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Samuel is not a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('lying', 3), ('lying', 0)), ('lying', 0), ('not', ('telling-truth', 1)))", "index": 612}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Penelope, Harper, and Aria. Scarlett expressed that Harper is a knave or Harper is a knight. In Penelope's words: \"If Scarlett is a knave then Aria is a knave\". In a statement by Harper: \"Penelope is a knight if and only if Scarlett is a knight\". In Aria's words: \"If Penelope is a knight then Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Penelope", "Harper", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Scarlett is a knight, Penelope is a knight, Harper is a knight, and Aria is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Penelope is a knight\n(3) Harper is a knight\n(4) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Harper is a knave or Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Scarlett is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Scarlett is a knave then Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Penelope is a knight then Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 613}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Luke, Alexander, and Olivia. Aria said, \"If Luke is a knight then Alexander is a knight.\" \"Luke is a knight if and only if Olivia is a knight,\" Luke mentioned. In a statement by Alexander: \"Alexander is a knight or Aria is a knave\". According to Olivia, \"Olivia is a knight if and only if Luke is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Luke", "Alexander", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Aria is a knight, Luke is a knight, Alexander is a knight, and Olivia is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Luke is a knight\n(3) Alexander is a knight\n(4) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that If Luke is a knight then Alexander is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Luke is a knight if and only if Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Luke is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Alexander is a knight or Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 0)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)))", "index": 614}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, David, Jacob, and Oliver. \"Oliver is a knave if and only if David is a knight,\" Mia mentioned. David commented, \"If Mia is a knight then Jacob is a knave\". \"Jacob is a knight and Mia is a knight,\" Jacob mentioned. Oliver said that Jacob is a knave and David is a knight. So who is a knight and who is a knave?", "names": ["Mia", "David", "Jacob", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Mia is a knave, David is a knight, Jacob is a knave, and Oliver is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) David is a knight\n(3) Jacob is a knave\n(4) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Oliver is a knave if and only if David is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Jacob is a knave and David is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Oliver that Jacob is a knave and David is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight and Mia is a knight.", "David cannot be a knight, because this would contradict the claim of Mia that Oliver is a knave if and only if David is a knight.", "David cannot be a knave, because this would contradict the false claim of their own that If Mia is a knight then Jacob is a knave.", "We have exhausted all possibilities for David and Jacob, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Jacob is a knave and David is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight and Mia is a knight.", "David cannot be a knight, because this would contradict the claim of their own that If Mia is a knight then Jacob is a knave.", "David cannot be a knave, because this would contradict the claim of Mia that Oliver is a knave if and only if David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight and Mia is a knight.", "David cannot be a knight, because this would contradict the false claim of Oliver that Jacob is a knave and David is a knight.", "David cannot be a knave, because this would contradict the claim of Mia that Oliver is a knave if and only if David is a knight.", "We have exhausted all possibilities for David, Jacob, and Oliver, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if David is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Jacob is a knave and David is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Mia is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight and Mia is a knight.", "Assume David is a knight. No contradiction is found in their claim that If Mia is a knight then Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('lying', 2), ('telling-truth', 1)))", "index": 615}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Lily, Victoria, and Daniel. Isabella stated, \"Daniel is a knight\". Lily commented, \"Isabella is not a knave\". \"Victoria is a knight,\" Victoria declared. \"Isabella is a knave or Victoria is a knave,\" Daniel declared. So who is a knight and who is a knave?", "names": ["Isabella", "Lily", "Victoria", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Isabella is a knight, Lily is a knight, Victoria is a knave, and Daniel is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Lily is a knight\n(3) Victoria is a knave\n(4) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Isabella is a knave or Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Daniel that Isabella is a knave or Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Isabella is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('not', ('lying', 0)), ('telling-truth', 2), ('or', ('lying', 0), ('lying', 2)))", "index": 616}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Isabella, Aria, and Jackson. Samuel said that Samuel is a knight if and only if Isabella is a knave. Isabella said, \"Samuel is not a knave.\" \"Samuel is a knight or Samuel is a knave,\" Aria claimed. \"If Samuel is a knight then Isabella is a knave,\" Jackson claimed. So who is a knight and who is a knave?", "names": ["Samuel", "Isabella", "Aria", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Samuel is a knave, Isabella is a knave, Aria is a knight, and Jackson is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Isabella is a knave\n(3) Aria is a knight\n(4) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Samuel that Samuel is a knight if and only if Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Samuel is not a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the false claim of Samuel that Samuel is a knight if and only if Isabella is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Samuel is not a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Samuel is a knight or Samuel is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Samuel is a knight then Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('not', ('lying', 0)), ('or', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 0), ('lying', 1)))", "index": 617}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Joseph, Charlotte, and Henry. William commented, \"Joseph is a knight or Henry is a knight\". Joseph said, \"If Joseph is a knight then Charlotte is a knight.\" According to Charlotte, \"William is a knight if and only if Henry is a knave\". Henry said, \"Joseph is a knight and Henry is a knight.\" So who is a knight and who is a knave?", "names": ["William", "Joseph", "Charlotte", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "William is a knight, Joseph is a knight, Charlotte is a knight, and Henry is a knave.", "solution_text_format": "(1) William is a knight\n(2) Joseph is a knight\n(3) Charlotte is a knight\n(4) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Joseph is a knight or Henry is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Joseph is a knight then Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that William is a knight if and only if Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Charlotte that William is a knight if and only if Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Joseph is a knight and Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('and', ('telling-truth', 1), ('telling-truth', 3)))", "index": 618}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, Noah, Charlotte, and Sophia. Abigail was heard saying, \"Sophia is a knight if and only if Noah is a knave\". \"Sophia is a knave\" - Noah. Charlotte commented, \"Noah is not a knave\". Sophia was heard saying, \"Charlotte is a knight and Noah is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Noah", "Charlotte", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Abigail is a knight, Noah is a knight, Charlotte is a knight, and Sophia is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Noah is a knight\n(3) Charlotte is a knight\n(4) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Noah is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Charlotte is a knight and Noah is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Noah is not a knave.", "Noah cannot be a knight, because this would contradict the claim of Abigail that Sophia is a knight if and only if Noah is a knave.", "Noah cannot be a knave, because this would contradict the claim of Charlotte that Noah is not a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Sophia that Charlotte is a knight and Noah is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Charlotte is a knight and Noah is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Noah is not a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 1)), ('lying', 3), ('not', ('lying', 1)), ('and', ('telling-truth', 2), ('lying', 1)))", "index": 619}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Emily, Lily, and Penelope. \"If Emily is a knave then Penelope is a knight,\" Victoria mentioned. Emily expressed that Victoria is a knave. In a statement by Lily: \"Emily is a knave\". Penelope asserted: \"Lily is a knave or Penelope is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Emily", "Lily", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Victoria is a knight, Emily is a knave, Lily is a knight, and Penelope is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) Emily is a knave\n(3) Lily is a knight\n(4) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that If Emily is a knave then Penelope is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Victoria is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Lily is a knave or Penelope is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 3)), ('lying', 0), ('lying', 1), ('or', ('lying', 2), ('telling-truth', 3)))", "index": 620}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, Aurora, Emily, and Owen. Abigail told you that Aurora is a knight or Emily is a knave. Aurora asserted: \"Owen is a knight or Aurora is a knight\". Emily stated, \"Aurora is a knave and Abigail is a knight\". In a statement by Owen: \"Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Aurora", "Emily", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Abigail is a knight, Aurora is a knight, Emily is a knave, and Owen is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Aurora is a knight\n(3) Emily is a knave\n(4) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Aurora is a knight or Emily is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Owen is a knight or Aurora is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Aurora is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Aurora is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Aurora is a knave and Abigail is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Aurora is a knave and Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 0)), ('lying', 1))", "index": 621}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Jackson, Aurora, and Riley. \"Ethan is a knight or Aurora is a knight,\" Ethan claimed. Jackson asserted: \"If Riley is a knight then Aurora is a knave\". Aurora said that If Jackson is a knave then Jackson is a knight. Riley said that Ethan is not a knight. So who is a knight and who is a knave?", "names": ["Ethan", "Jackson", "Aurora", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Ethan is a knight, Jackson is a knight, Aurora is a knight, and Riley is a knave.", "solution_text_format": "(1) Ethan is a knight\n(2) Jackson is a knight\n(3) Aurora is a knight\n(4) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight or Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Jackson is a knave then Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Riley is a knight then Aurora is a knave.", "Riley cannot be a knight, because this would contradict the claim of Jackson that If Riley is a knight then Aurora is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Ethan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('lying', 2)), ('->', ('lying', 1), ('telling-truth', 1)), ('not', ('telling-truth', 0)))", "index": 622}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Alexander, Sofia, and Avery. Amelia remarked, \"If Alexander is a knave then Avery is a knight\". In a statement by Alexander: \"Avery is a knave\". Sofia expressed that If Amelia is a knave then Alexander is a knight. Avery told you that Amelia is a knight if and only if Sofia is a knight. So who is a knight and who is a knave?", "names": ["Amelia", "Alexander", "Sofia", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Amelia is a knight, Alexander is a knave, Sofia is a knight, and Avery is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Alexander is a knave\n(3) Sofia is a knight\n(4) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that If Alexander is a knave then Avery is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Alexander that Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Avery that Amelia is a knight if and only if Sofia is a knight.", "Sofia cannot be a knave, because this would contradict the false claim of their own that If Amelia is a knave then Alexander is a knight.", "We have exhausted all possibilities for Sofia and Avery, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Amelia is a knave then Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 3)), ('lying', 3), ('->', ('lying', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))", "index": 623}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Michael, Amelia, and Joseph. \"If Joseph is a knave then Amelia is a knight,\" Benjamin declared. Michael was heard saying, \"Benjamin is a knight\". As Amelia put it, \"Benjamin is a knave if and only if Michael is a knave\". Joseph told you that Michael is a knight and Benjamin is a knight. So who is a knight and who is a knave?", "names": ["Benjamin", "Michael", "Amelia", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Benjamin is a knight, Michael is a knight, Amelia is a knight, and Joseph is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Michael is a knight\n(3) Amelia is a knight\n(4) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that If Joseph is a knave then Amelia is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Michael is a knight and Benjamin is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 2)), ('telling-truth', 0), ('<=>', ('lying', 0), ('lying', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 624}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Isabella, Owen, and Daniel. According to Emily, \"If Daniel is a knight then Owen is a knave\". In a statement by Isabella: \"If Isabella is a knight then Daniel is a knight\". In Owen's words: \"Emily is not a knight\". \"Owen is not a knave\" - Daniel. So who is a knight and who is a knave?", "names": ["Emily", "Isabella", "Owen", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Emily is a knave, Isabella is a knight, Owen is a knight, and Daniel is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Isabella is a knight\n(3) Owen is a knight\n(4) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that If Daniel is a knight then Owen is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Owen is not a knave.", "Owen cannot be a knight, because this would contradict the claim of Emily that If Daniel is a knight then Owen is a knave.", "Owen cannot be a knave, because this would contradict the claim of Daniel that Owen is not a knave.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Owen is not a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Emily is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Emily is not a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that If Isabella is a knight then Daniel is a knight.", "Isabella cannot be a knave, because this would contradict the false claim of their own that If Isabella is a knight then Daniel is a knight.", "We have exhausted all possibilities for Isabella, Owen, and Daniel, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that If Daniel is a knight then Owen is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Emily is not a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Isabella is a knight then Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('telling-truth', 0)), ('not', ('lying', 2)))", "index": 625}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Aria, Jacob, and Victoria. Charlotte told you that Aria is a knight or Jacob is a knave. \"Victoria is a knave if and only if Charlotte is a knight,\" Aria declared. \"Victoria is a knight,\" Jacob claimed. Victoria noted, \"Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Aria", "Jacob", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Charlotte is a knight, Aria is a knight, Jacob is a knave, and Victoria is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Aria is a knight\n(3) Jacob is a knave\n(4) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Aria is a knight or Jacob is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Charlotte is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Aria that Victoria is a knave if and only if Charlotte is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Victoria is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 2)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('telling-truth', 3), ('lying', 0))", "index": 626}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Jack, Mason, and Sofia. According to Harper, \"Harper is a knight or Mason is a knight\". In Jack's words: \"Harper is a knave\". Mason said that Harper is a knave and Jack is a knight. Sofia commented, \"If Mason is a knave then Jack is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Jack", "Mason", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Harper is a knight, Jack is a knave, Mason is a knave, and Sofia is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Jack is a knave\n(3) Mason is a knave\n(4) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Harper is a knight or Mason is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Jack is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Harper is a knave and Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Harper is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Harper is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that If Mason is a knave then Jack is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that If Mason is a knave then Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 0), ('and', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 1)))", "index": 627}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Mia, Amelia, and Jackson. Benjamin said, \"If Jackson is a knave then Mia is a knight.\" Mia stated, \"Amelia is a knave\". Amelia expressed that Jackson is a knight or Jackson is a knave. \"Benjamin is a knight or Mia is a knave,\" Jackson declared. So who is a knight and who is a knave?", "names": ["Benjamin", "Mia", "Amelia", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Benjamin is a knight, Mia is a knave, Amelia is a knight, and Jackson is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Mia is a knave\n(3) Amelia is a knight\n(4) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that If Jackson is a knave then Mia is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Benjamin is a knight or Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Mia that Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight or Jackson is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Jackson is a knight or Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 1)), ('lying', 2), ('or', ('telling-truth', 3), ('lying', 3)), ('or', ('telling-truth', 0), ('lying', 1)))", "index": 628}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Abigail, Oliver, and Lily. Penelope asserted: \"Abigail is a knight\". \"If Abigail is a knight then Penelope is a knight\" - Abigail. Oliver told you that Penelope is a knave and Lily is a knight. Lily expressed that Oliver is a knave. So who is a knight and who is a knave?", "names": ["Penelope", "Abigail", "Oliver", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Penelope is a knight, Abigail is a knight, Oliver is a knave, and Lily is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Abigail is a knight\n(3) Oliver is a knave\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Abigail is a knight then Penelope is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Lily is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Penelope is a knave and Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 3)), ('lying', 2))", "index": 629}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Sebastian, Lily, and Sophia. Ethan asserted: \"Lily is a knave and Sebastian is a knight\". In a statement by Sebastian: \"Lily is a knave\". Lily said that If Ethan is a knave then Sebastian is a knave. Sophia expressed that Ethan is a knave and Sebastian is a knave. So who is a knight and who is a knave?", "names": ["Ethan", "Sebastian", "Lily", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Ethan is a knave, Sebastian is a knave, Lily is a knight, and Sophia is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Sebastian is a knave\n(3) Lily is a knight\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Lily is a knave and Sebastian is a knight.", "Lily cannot be a knight, because this would contradict the claim of Ethan that Lily is a knave and Sebastian is a knight.", "Lily cannot be a knave, because this would contradict the false claim of their own that If Ethan is a knave then Sebastian is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Lily is a knave and Sebastian is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Ethan is a knave then Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Lily is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Lily is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Ethan is a knave and Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('lying', 2), ('->', ('lying', 0), ('lying', 1)), ('and', ('lying', 0), ('lying', 1)))", "index": 630}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Penelope, Charlotte, and Aurora. In David's words: \"Aurora is a knave or David is a knight\". Penelope asserted: \"If Penelope is a knight then David is a knight\". In a statement by Charlotte: \"David is a knight or Aurora is a knave\". \"David is a knave if and only if Charlotte is a knight,\" Aurora declared. So who is a knight and who is a knave?", "names": ["David", "Penelope", "Charlotte", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "David is a knight, Penelope is a knight, Charlotte is a knight, and Aurora is a knave.", "solution_text_format": "(1) David is a knight\n(2) Penelope is a knight\n(3) Charlotte is a knight\n(4) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Aurora is a knave or David is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that David is a knave if and only if Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Aurora that David is a knave if and only if Charlotte is a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that David is a knight or Aurora is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that David is a knave if and only if Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that David is a knight or Aurora is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Penelope is a knight then David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "index": 631}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, Victoria, Ella, and Riley. In a statement by Avery: \"If Riley is a knave then Victoria is a knight\". Victoria said that Ella is a knave and Avery is a knave. In a statement by Ella: \"If Victoria is a knight then Avery is a knight\". \"Victoria is a knight and Avery is a knight,\" Riley declared. So who is a knight and who is a knave?", "names": ["Avery", "Victoria", "Ella", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Avery is a knave, Victoria is a knave, Ella is a knight, and Riley is a knave.", "solution_text_format": "(1) Avery is a knave\n(2) Victoria is a knave\n(3) Ella is a knight\n(4) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that If Riley is a knave then Victoria is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Victoria is a knight and Avery is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Avery is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Riley that Victoria is a knight and Avery is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Victoria is a knight and Avery is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Avery is a knave.", "Victoria cannot be a knave, because this would contradict the claim of Avery that If Riley is a knave then Victoria is a knight.", "We have exhausted all possibilities for Victoria and Riley, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that If Riley is a knave then Victoria is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Avery that If Riley is a knave then Victoria is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Victoria is a knight and Avery is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Avery that If Riley is a knave then Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Ella is a knave and Avery is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Victoria is a knight then Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 1)), ('and', ('lying', 2), ('lying', 0)), ('->', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 632}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Scarlett, Aurora, and Aiden. \"Aurora is a knave if and only if Aiden is a knight,\" Liam mentioned. Scarlett said, \"Aiden is a knave.\" According to Aurora, \"Scarlett is a knave and Aurora is a knight\". Aiden expressed that Aiden is a knight and Scarlett is a knight. So who is a knight and who is a knave?", "names": ["Liam", "Scarlett", "Aurora", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Liam is a knave, Scarlett is a knight, Aurora is a knave, and Aiden is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Scarlett is a knight\n(3) Aurora is a knave\n(4) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Aiden is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Scarlett is a knave and Aurora is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Aurora that Scarlett is a knave and Aurora is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Liam that Aurora is a knave if and only if Aiden is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of Scarlett that Aiden is a knave.", "We have exhausted all possibilities for Aiden and Scarlett, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Scarlett is a knave and Aurora is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Scarlett that Aiden is a knave.", "Aiden cannot be a knave, because this would contradict the claim of Liam that Aurora is a knave if and only if Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Scarlett is a knight.", "Aiden cannot be a knave, because this would contradict the claim of Liam that Aurora is a knave if and only if Aiden is a knight.", "We have exhausted all possibilities for Aiden, Scarlett, and Aurora, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Aiden is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Scarlett is a knave and Aurora is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Aurora that Scarlett is a knave and Aurora is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Scarlett is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of Liam that Aurora is a knave if and only if Aiden is a knight.", "We have exhausted all possibilities for Aiden and Scarlett, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Scarlett is a knave and Aurora is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the false claim of Liam that Aurora is a knave if and only if Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Aiden is a knight and Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 3)), ('lying', 3), ('and', ('lying', 1), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('telling-truth', 1)))", "index": 633}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Noah, Emma, and Elizabeth. Owen remarked, \"Noah is not a knave\". \"Owen is a knight if and only if Owen is a knave\" - Noah. Emma said, \"If Elizabeth is a knight then Elizabeth is a knave.\" \"Owen is a knave or Noah is a knight,\" Elizabeth declared. So who is a knight and who is a knave?", "names": ["Owen", "Noah", "Emma", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Owen is a knave, Noah is a knave, Emma is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Noah is a knave\n(3) Emma is a knave\n(4) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Noah is not a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Owen is a knight if and only if Owen is a knave.", "Noah cannot be a knave, because this would contradict the claim of Owen that Noah is not a knave.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Noah is not a knave.", "Noah cannot be a knight, because this would contradict the false claim of Owen that Noah is not a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Owen is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Emma that If Elizabeth is a knight then Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Owen is a knave or Noah is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that If Elizabeth is a knight then Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Owen is a knave or Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 3), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 1)))", "index": 634}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Zoey, Lily, and Ethan. In Joseph's words: \"Zoey is not a knave\". In a statement by Zoey: \"Joseph is a knave if and only if Ethan is a knave\". As Lily put it, \"Zoey is a knave and Ethan is a knave\". \"Zoey is a knave or Lily is a knight,\" Ethan claimed. So who is a knight and who is a knave?", "names": ["Joseph", "Zoey", "Lily", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Joseph is a knave, Zoey is a knave, Lily is a knave, and Ethan is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Zoey is a knave\n(3) Lily is a knave\n(4) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Zoey is a knave or Lily is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Zoey is a knave and Ethan is a knave.", "Lily cannot be a knave, because this would contradict the claim of Ethan that Zoey is a knave or Lily is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the claim of Zoey that Joseph is a knave if and only if Ethan is a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the claim of Joseph that Zoey is not a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the false claim of Joseph that Zoey is not a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Joseph is a knave if and only if Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Zoey is a knave or Lily is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Zoey is a knave and Ethan is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Zoey is a knave and Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('lying', 0), ('lying', 3)), ('and', ('lying', 1), ('lying', 3)), ('or', ('lying', 1), ('telling-truth', 2)))", "index": 635}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Benjamin, Avery, and William. Samuel told you that If William is a knight then Samuel is a knight. Benjamin asserted: \"Samuel is a knight\". \"Samuel is a knave or Benjamin is a knave\" - Avery. \"Avery is a knave or Samuel is a knight,\" William mentioned. So who is a knight and who is a knave?", "names": ["Samuel", "Benjamin", "Avery", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Samuel is a knight, Benjamin is a knight, Avery is a knave, and William is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Benjamin is a knight\n(3) Avery is a knave\n(4) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that If William is a knight then Samuel is a knight.", "Assume William is a knight. No contradiction is found in their claim that Avery is a knave or Samuel is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Samuel is a knave or Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Avery that Samuel is a knave or Benjamin is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Samuel is a knave or Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 0)), ('telling-truth', 0), ('or', ('lying', 0), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 0)))", "index": 636}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, Charlotte, Jackson, and Alexander. Abigail commented, \"Abigail is a knight or Charlotte is a knight\". Charlotte told you that If Abigail is a knight then Jackson is a knave. As Jackson put it, \"Alexander is a knight or Abigail is a knight\". \"If Jackson is a knave then Charlotte is a knight,\" Alexander declared. So who is a knight and who is a knave?", "names": ["Abigail", "Charlotte", "Jackson", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Abigail is a knight, Charlotte is a knave, Jackson is a knight, and Alexander is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Charlotte is a knave\n(3) Jackson is a knight\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight or Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Abigail is a knight then Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Charlotte that If Abigail is a knight then Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight or Abigail is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Abigail is a knight then Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Alexander is a knight or Abigail is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Jackson is a knave then Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 2)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('lying', 2), ('telling-truth', 1)))", "index": 637}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Liam, Ella, and Joseph. Matthew was heard saying, \"Ella is a knight and Joseph is a knave\". Liam commented, \"Matthew is a knave or Joseph is a knave\". Ella expressed that Joseph is a knight if and only if Liam is a knave. Joseph said that Matthew is a knight if and only if Matthew is a knave. So who is a knight and who is a knave?", "names": ["Matthew", "Liam", "Ella", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Matthew is a knight, Liam is a knight, Ella is a knight, and Joseph is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Liam is a knight\n(3) Ella is a knight\n(4) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Ella is a knight and Joseph is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Liam is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Matthew that Ella is a knight and Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Matthew is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Matthew is a knave or Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 3)), ('or', ('lying', 0), ('lying', 3)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 638}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, Matthew, Sophia, and David. \"If Sophia is a knight then Sebastian is a knight,\" Sebastian declared. Matthew commented, \"David is not a knave\". Sophia remarked, \"David is not a knight\". David asserted: \"If Matthew is a knight then Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Matthew", "Sophia", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Sebastian is a knight, Matthew is a knight, Sophia is a knave, and David is a knight.", "solution_text_format": "(1) Sebastian is a knight\n(2) Matthew is a knight\n(3) Sophia is a knave\n(4) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that If Sophia is a knight then Sebastian is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that David is not a knight.", "David cannot be a knight, because this would contradict the claim of Sophia that David is not a knight.", "Assume David is a knave. No contradiction is found in their false claim that If Matthew is a knight then Sophia is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that David is not a knave.", "Matthew cannot be a knave, because this would contradict the false claim of David that If Matthew is a knight then Sophia is a knave.", "We have exhausted all possibilities for Matthew and David, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that David is not a knight.", "Assume David is a knight. No contradiction is found in their claim that If Matthew is a knight then Sophia is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that David is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('lying', 3)), ('not', ('telling-truth', 3)), ('->', ('telling-truth', 1), ('lying', 2)))", "index": 639}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Abigail, Michael, and Jack. \"Michael is a knight\" - Ella. Abigail said that Michael is not a knave. Michael told you that If Ella is a knight then Michael is a knight. Jack commented, \"Ella is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Abigail", "Michael", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Ella is a knight, Abigail is a knight, Michael is a knight, and Jack is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Abigail is a knight\n(3) Michael is a knight\n(4) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Ella is a knight then Michael is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Michael is not a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Ella is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('not', ('lying', 2)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 0))", "index": 640}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Logan, Sofia, and Riley. Liam remarked, \"Sofia is not a knight\". Logan remarked, \"Liam is a knave\". \"Logan is a knave if and only if Liam is a knight,\" Sofia claimed. Riley commented, \"If Sofia is a knave then Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Logan", "Sofia", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Liam is a knave, Logan is a knight, Sofia is a knight, and Riley is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Logan is a knight\n(3) Sofia is a knight\n(4) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Sofia is not a knight.", "Sofia cannot be a knight, because this would contradict the claim of Liam that Sofia is not a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Liam is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Liam is a knave.", "Logan cannot be a knave, because this would contradict the false claim of Sofia that Logan is a knave if and only if Liam is a knight.", "We have exhausted all possibilities for Logan and Sofia, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Sofia is not a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Logan is a knave if and only if Liam is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Liam is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Sofia is a knave then Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('lying', 0), ('<=>', ('lying', 1), ('telling-truth', 0)), ('->', ('lying', 2), ('telling-truth', 2)))", "index": 641}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, James, Samuel, and William. Sebastian said that If William is a knight then William is a knave. James was heard saying, \"If Samuel is a knight then Sebastian is a knave\". Samuel commented, \"William is a knave or Sebastian is a knave\". \"James is a knave and James is a knight,\" William declared. So who is a knight and who is a knave?", "names": ["Sebastian", "James", "Samuel", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Sebastian is a knight, James is a knave, Samuel is a knight, and William is a knave.", "solution_text_format": "(1) Sebastian is a knight\n(2) James is a knave\n(3) Samuel is a knight\n(4) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that If William is a knight then William is a knave.", "William cannot be a knight, because this would contradict the claim of Sebastian that If William is a knight then William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that James is a knave and James is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Samuel is a knight then Sebastian is a knave.", "Samuel cannot be a knight, because this would contradict the claim of James that If Samuel is a knight then Sebastian is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of their own that William is a knave or Sebastian is a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that If Samuel is a knight then Sebastian is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that William is a knave or Sebastian is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 3)), ('->', ('telling-truth', 2), ('lying', 0)), ('or', ('lying', 3), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 1)))", "index": 642}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Emily, Sophia, and Amelia. Mason commented, \"Emily is not a knave\". Emily asserted: \"Amelia is a knave and Mason is a knave\". As Sophia put it, \"Emily is a knave and Sophia is a knight\". In a statement by Amelia: \"If Emily is a knave then Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Emily", "Sophia", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Mason is a knave, Emily is a knave, Sophia is a knight, and Amelia is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Emily is a knave\n(3) Sophia is a knight\n(4) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Emily is not a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Mason is a knave.", "Emily cannot be a knave, because this would contradict the claim of Mason that Emily is not a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Emily is not a knave.", "Emily cannot be a knight, because this would contradict the false claim of Mason that Emily is not a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Amelia is a knave and Mason is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Emily is a knave then Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Emily is a knave and Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('lying', 3), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 643}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Jack, Scarlett, and Lily. Luke said, \"If Jack is a knave then Scarlett is a knave.\" In Jack's words: \"Luke is not a knight\". \"Scarlett is a knight and Luke is a knave,\" Scarlett mentioned. \"If Jack is a knight then Jack is a knave,\" Lily declared. So who is a knight and who is a knave?", "names": ["Luke", "Jack", "Scarlett", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Luke is a knight, Jack is a knave, Scarlett is a knave, and Lily is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Jack is a knave\n(3) Scarlett is a knave\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that If Jack is a knave then Scarlett is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Luke is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Luke that If Jack is a knave then Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Scarlett is a knight and Luke is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Jack is a knight then Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 2), ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 644}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Benjamin, Abigail, and Oliver. Daniel expressed that If Oliver is a knave then Benjamin is a knight. Benjamin said, \"If Abigail is a knight then Benjamin is a knight.\" As Abigail put it, \"Benjamin is a knight\". In Oliver's words: \"Abigail is a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "Benjamin", "Abigail", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Daniel is a knight, Benjamin is a knight, Abigail is a knight, and Oliver is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) Benjamin is a knight\n(3) Abigail is a knight\n(4) Oliver is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that If Oliver is a knave then Benjamin is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Oliver that Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Abigail that Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that If Abigail is a knight then Benjamin is a knight.", "We have exhausted all possibilities for Benjamin and Abigail, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Abigail is a knight then Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 1), ('lying', 2))", "index": 645}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Oliver, Sophia, and Henry. Aiden told you that Henry is a knight if and only if Henry is a knave. Oliver said, \"Sophia is a knave and Henry is a knight.\" Sophia expressed that Henry is a knight. Henry was heard saying, \"Oliver is a knave if and only if Oliver is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Oliver", "Sophia", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Aiden is a knave, Oliver is a knave, Sophia is a knave, and Henry is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Oliver is a knave\n(3) Sophia is a knave\n(4) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Aiden cannot be a knight, because this would contradict the claim of their own that Henry is a knight if and only if Henry is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Oliver is a knave if and only if Oliver is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Henry is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Sophia is a knave and Henry is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Henry is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 3)), ('and', ('lying', 2), ('telling-truth', 3)), ('telling-truth', 3), ('<=>', ('lying', 1), ('telling-truth', 1)))", "index": 646}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Emma, Benjamin, and Chloe. Luke stated, \"If Benjamin is a knave then Emma is a knave\". Emma said that If Chloe is a knave then Benjamin is a knave. As Benjamin put it, \"Chloe is a knave if and only if Chloe is a knight\". \"Benjamin is a knight,\" Chloe claimed. So who is a knight and who is a knave?", "names": ["Luke", "Emma", "Benjamin", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Luke is a knave, Emma is a knight, Benjamin is a knave, and Chloe is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Emma is a knight\n(3) Benjamin is a knave\n(4) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that If Benjamin is a knave then Emma is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Chloe is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Emma cannot be a knight, because this would contradict the claim of Luke that If Benjamin is a knave then Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knave then Benjamin is a knave.", "We have exhausted all possibilities for Emma, Chloe, and Benjamin, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that If Benjamin is a knave then Emma is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Luke that If Benjamin is a knave then Emma is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Chloe is a knave then Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 1)), ('->', ('lying', 3), ('lying', 2)), ('<=>', ('lying', 3), ('telling-truth', 3)), ('telling-truth', 2))", "index": 647}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Elizabeth, Victoria, and James. \"Victoria is a knave or James is a knight,\" Evelyn claimed. Elizabeth asserted: \"Evelyn is a knave if and only if Victoria is a knave\". Victoria said that James is a knight if and only if Evelyn is a knave. According to James, \"Elizabeth is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Elizabeth", "Victoria", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Evelyn is a knight, Elizabeth is a knave, Victoria is a knave, and James is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Elizabeth is a knave\n(3) Victoria is a knave\n(4) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Victoria is a knave or James is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that James is a knight if and only if Evelyn is a knave.", "James cannot be a knight, because this would contradict the claim of Victoria that James is a knight if and only if Evelyn is a knave.", "James cannot be a knave, because this would contradict the claim of Evelyn that Victoria is a knave or James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that James is a knight if and only if Evelyn is a knave.", "Assume James is a knight. No contradiction is found in their claim that Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave if and only if Victoria is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 3)), ('<=>', ('lying', 0), ('lying', 2)), ('<=>', ('telling-truth', 3), ('lying', 0)), ('lying', 1))", "index": 648}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, David, Alexander, and Luke. Abigail said, \"Alexander is a knave if and only if Abigail is a knight.\" According to David, \"Abigail is a knight and Alexander is a knave\". Alexander commented, \"David is not a knave\". \"David is not a knave\" - Luke. So who is a knight and who is a knave?", "names": ["Abigail", "David", "Alexander", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Abigail is a knave, David is a knave, Alexander is a knave, and Luke is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) David is a knave\n(3) Alexander is a knave\n(4) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Abigail is a knight.", "Alexander cannot be a knight, because this would contradict the claim of Abigail that Alexander is a knave if and only if Abigail is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that David is not a knave.", "David cannot be a knight, because this would contradict the false claim of Alexander that David is not a knave.", "David cannot be a knave, because this would contradict the false claim of their own that Abigail is a knight and Alexander is a knave.", "We have exhausted all possibilities for David and Alexander, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if Abigail is a knight.", "Alexander cannot be a knight, because this would contradict the false claim of Abigail that Alexander is a knave if and only if Abigail is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that David is not a knave.", "David cannot be a knight, because this would contradict the claim of their own that Abigail is a knight and Alexander is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Abigail is a knight and Alexander is a knave.", "Luke cannot be a knight, because this would contradict the claim of their own that David is not a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that David is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 2)), ('not', ('lying', 1)), ('not', ('lying', 1)))", "index": 649}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Isabella, Noah, and Lucas. Riley stated, \"Isabella is not a knight\". \"Lucas is a knave or Riley is a knight\" - Isabella. \"Lucas is not a knave,\" Noah mentioned. Lucas commented, \"Noah is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Isabella", "Noah", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Riley is a knave, Isabella is a knight, Noah is a knave, and Lucas is a knave.", "solution_text_format": "(1) Riley is a knave\n(2) Isabella is a knight\n(3) Noah is a knave\n(4) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Isabella is not a knight.", "Isabella cannot be a knight, because this would contradict the claim of Riley that Isabella is not a knight.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Lucas is a knave or Riley is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Isabella is not a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Lucas is a knave or Riley is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Isabella that Lucas is a knave or Riley is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Noah is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Lucas is not a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Lucas is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('lying', 3), ('telling-truth', 0)), ('not', ('lying', 3)), ('telling-truth', 2))", "index": 650}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Riley, Daniel, and Logan. William was heard saying, \"Riley is a knight and William is a knight\". Riley said, \"If Riley is a knight then Logan is a knight.\" \"Riley is a knave if and only if William is a knight,\" Daniel claimed. \"William is a knight,\" Logan declared. So who is a knight and who is a knave?", "names": ["William", "Riley", "Daniel", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "William is a knight, Riley is a knight, Daniel is a knave, and Logan is a knight.", "solution_text_format": "(1) William is a knight\n(2) Riley is a knight\n(3) Daniel is a knave\n(4) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Riley is a knight and William is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Riley is a knight then Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that William is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if William is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Riley is a knave if and only if William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('lying', 1), ('telling-truth', 0)), ('telling-truth', 0))", "index": 651}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Olivia, Mason, and Harper. Ella expressed that Mason is a knave and Olivia is a knave. In a statement by Olivia: \"Harper is a knave or Ella is a knight\". Mason told you that Olivia is a knave and Olivia is a knight. \"Olivia is not a knight,\" Harper mentioned. So who is a knight and who is a knave?", "names": ["Ella", "Olivia", "Mason", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Ella is a knave, Olivia is a knight, Mason is a knave, and Harper is a knave.", "solution_text_format": "(1) Ella is a knave\n(2) Olivia is a knight\n(3) Mason is a knave\n(4) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Mason is a knave and Olivia is a knave.", "Mason cannot be a knight, because this would contradict the claim of Ella that Mason is a knave and Olivia is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Olivia is a knave and Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Ella that Mason is a knave and Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Harper is a knave or Ella is a knight.", "We have exhausted all possibilities for Olivia and Mason, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Mason is a knave and Olivia is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Olivia is a knave and Olivia is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Olivia is a knave and Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Harper is a knave or Ella is a knight.", "Harper cannot be a knight, because this would contradict the claim of Olivia that Harper is a knave or Ella is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Olivia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('or', ('lying', 3), ('telling-truth', 0)), ('and', ('lying', 1), ('telling-truth', 1)), ('not', ('telling-truth', 1)))", "index": 652}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Emily, Aiden, and Jack. Penelope said, \"Penelope is a knight or Jack is a knave.\" \"Aiden is a knight\" - Emily. Aiden remarked, \"If Emily is a knight then Penelope is a knave\". Jack stated, \"Emily is a knight or Jack is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Emily", "Aiden", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Penelope is a knave, Emily is a knight, Aiden is a knight, and Jack is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Emily is a knight\n(3) Aiden is a knight\n(4) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Penelope is a knight or Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Emily is a knight or Jack is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that If Emily is a knight then Penelope is a knave.", "Aiden cannot be a knave, because this would contradict the claim of Emily that Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Emily that Aiden is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Emily is a knight then Penelope is a knave.", "We have exhausted all possibilities for Aiden and Emily, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Emily is a knight or Jack is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Jack that Emily is a knight or Jack is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Emily that Aiden is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Emily is a knight then Penelope is a knave.", "We have exhausted all possibilities for Aiden, Emily, and Jack, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight or Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Emily is a knight or Jack is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Emily is a knight then Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 3)), ('telling-truth', 2), ('->', ('telling-truth', 1), ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 3)))", "index": 653}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Elizabeth, Grace, and Lucas. According to Riley, \"Grace is a knave\". Elizabeth noted, \"Lucas is a knight or Grace is a knave\". Grace was heard saying, \"Elizabeth is a knave and Lucas is a knight\". \"If Riley is a knave then Lucas is a knight,\" Lucas claimed. So who is a knight and who is a knave?", "names": ["Riley", "Elizabeth", "Grace", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Riley is a knight, Elizabeth is a knight, Grace is a knave, and Lucas is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Elizabeth is a knight\n(3) Grace is a knave\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Riley that Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Lucas is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Lucas is a knight or Grace is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Riley is a knave then Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('telling-truth', 3), ('lying', 2)), ('and', ('lying', 1), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 3)))", "index": 654}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Charlotte, Matthew, and Jack. Aiden said, \"Jack is a knight or Charlotte is a knight.\" Charlotte commented, \"Matthew is a knave if and only if Aiden is a knight\". \"Aiden is a knave,\" Matthew declared. Jack commented, \"Charlotte is a knight or Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Charlotte", "Matthew", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Aiden is a knight, Charlotte is a knight, Matthew is a knave, and Jack is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Charlotte is a knight\n(3) Matthew is a knave\n(4) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Jack is a knight or Charlotte is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Charlotte is a knight or Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Aiden is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Charlotte that Matthew is a knave if and only if Aiden is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('lying', 0), ('or', ('telling-truth', 1), ('lying', 1)))", "index": 655}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, William, Sebastian, and Aurora. Emma stated, \"If Aurora is a knave then Sebastian is a knave\". \"Sebastian is a knight,\" William mentioned. Sebastian was heard saying, \"If Aurora is a knave then William is a knight\". Aurora stated, \"Emma is not a knight\". So who is a knight and who is a knave?", "names": ["Emma", "William", "Sebastian", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Emma is a knight, William is a knave, Sebastian is a knave, and Aurora is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) William is a knave\n(3) Sebastian is a knave\n(4) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that If Aurora is a knave then Sebastian is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Emma is not a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Emma is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Emma that If Aurora is a knave then Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Aurora is a knave then William is a knight.", "William cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 2)), ('telling-truth', 2), ('->', ('lying', 3), ('telling-truth', 1)), ('not', ('telling-truth', 0)))", "index": 656}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Ava, Riley, and Ella. In Harper's words: \"Ella is a knight\". In a statement by Ava: \"Ella is not a knave\". \"If Harper is a knight then Ava is a knight,\" Riley claimed. Ella stated, \"If Harper is a knave then Riley is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Ava", "Riley", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Harper is a knight, Ava is a knight, Riley is a knight, and Ella is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Ava is a knight\n(3) Riley is a knight\n(4) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Harper is a knave then Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Harper is a knight then Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Ella is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('not', ('lying', 3)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 2)))", "index": 657}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Penelope, Logan, and Harper. \"Harper is a knight or Logan is a knight,\" Jacob declared. \"Harper is a knave and Jacob is a knight,\" Penelope declared. Logan remarked, \"Harper is a knave\". \"Penelope is a knight or Logan is a knave\" - Harper. So who is a knight and who is a knave?", "names": ["Jacob", "Penelope", "Logan", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Jacob is a knight, Penelope is a knave, Logan is a knave, and Harper is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Penelope is a knave\n(3) Logan is a knave\n(4) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Harper is a knight or Logan is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Penelope is a knight or Logan is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Jacob is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Harper is a knave and Jacob is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Harper is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('lying', 3), ('telling-truth', 0)), ('lying', 3), ('or', ('telling-truth', 1), ('lying', 2)))", "index": 658}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Emily, Logan, and Chloe. \"If Chloe is a knave then Emily is a knight,\" Emma mentioned. Emily told you that Emily is a knight or Logan is a knight. Logan stated, \"Logan is a knight if and only if Emily is a knave\". Chloe said, \"Emily is a knave or Emma is a knight.\" So who is a knight and who is a knave?", "names": ["Emma", "Emily", "Logan", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Emma is a knight, Emily is a knave, Logan is a knave, and Chloe is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Emily is a knave\n(3) Logan is a knave\n(4) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that If Chloe is a knave then Emily is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Emily is a knave or Emma is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight or Logan is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Logan is a knight if and only if Emily is a knave.", "Logan cannot be a knave, because this would contradict the false claim of their own that Logan is a knight if and only if Emily is a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Emily is a knight or Logan is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Emily that Emily is a knight or Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 1), ('telling-truth', 0)))", "index": 659}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Evelyn, Ethan, and Grace. \"Aiden is a knight or Grace is a knave,\" Aiden claimed. Evelyn said that Aiden is a knave. Ethan was heard saying, \"Aiden is a knight or Evelyn is a knave\". \"Aiden is a knight\" - Grace. So who is a knight and who is a knave?", "names": ["Aiden", "Evelyn", "Ethan", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Aiden is a knight, Evelyn is a knave, Ethan is a knight, and Grace is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Evelyn is a knave\n(3) Ethan is a knight\n(4) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight or Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Aiden is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Aiden is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Aiden is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Aiden is a knight or Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 3)), ('lying', 0), ('or', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 0))", "index": 660}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, David, Samuel, and Grace. \"If Samuel is a knight then Grace is a knave\" - Harper. David asserted: \"Samuel is a knight if and only if David is a knight\". Samuel stated, \"Harper is not a knight\". Grace said that David is a knight. So who is a knight and who is a knave?", "names": ["Harper", "David", "Samuel", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Harper is a knave, David is a knight, Samuel is a knight, and Grace is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) David is a knight\n(3) Samuel is a knight\n(4) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that If Samuel is a knight then Grace is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Harper is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Harper is not a knight.", "Assume Grace is a knight. No contradiction is found in their claim that David is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Samuel is a knight if and only if David is a knight.", "David cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight if and only if David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that David is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Samuel is a knight if and only if David is a knight.", "David cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight if and only if David is a knight.", "We have exhausted all possibilities for David, Grace, and Samuel, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that If Samuel is a knight then Grace is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Harper is not a knight.", "Assume Grace is a knight. No contradiction is found in their claim that David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Samuel is a knight if and only if David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('telling-truth', 1))", "index": 661}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Ethan, Grace, and Avery. \"Avery is a knight if and only if Avery is a knave,\" Joseph declared. Ethan asserted: \"Joseph is a knave and Grace is a knave\". Grace remarked, \"Ethan is a knave or Avery is a knight\". Avery stated, \"Joseph is a knave or Ethan is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Ethan", "Grace", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Joseph is a knave, Ethan is a knave, Grace is a knight, and Avery is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Ethan is a knave\n(3) Grace is a knight\n(4) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Joseph cannot be a knight, because this would contradict the claim of their own that Avery is a knight if and only if Avery is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Joseph is a knave or Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Joseph is a knave and Grace is a knave.", "Grace cannot be a knight, because this would contradict the claim of Ethan that Joseph is a knave and Grace is a knave.", "Grace cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave or Avery is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Joseph is a knave and Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Ethan is a knave or Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 3)), ('and', ('lying', 0), ('lying', 2)), ('or', ('lying', 1), ('telling-truth', 3)), ('or', ('lying', 0), ('lying', 1)))", "index": 662}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Jacob, Ava, and Scarlett. Lily noted, \"Ava is a knight or Scarlett is a knight\". In Jacob's words: \"Scarlett is a knave\". Ava said that Jacob is a knight. Scarlett commented, \"If Jacob is a knight then Lily is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Jacob", "Ava", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Lily is a knight, Jacob is a knave, Ava is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Jacob is a knave\n(3) Ava is a knave\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Ava is a knight or Scarlett is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Jacob that Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that If Jacob is a knight then Lily is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Ava that Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the false claim of Ava that Jacob is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Jacob is a knight then Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 3)), ('lying', 3), ('telling-truth', 1), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 663}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Scarlett, Mason, and Victoria. \"Scarlett is not a knight\" - Amelia. \"Amelia is a knave or Mason is a knight,\" Scarlett mentioned. Mason said, \"Victoria is a knight.\" \"Amelia is a knight,\" Victoria claimed. So who is a knight and who is a knave?", "names": ["Amelia", "Scarlett", "Mason", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Amelia is a knave, Scarlett is a knight, Mason is a knave, and Victoria is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Scarlett is a knight\n(3) Mason is a knave\n(4) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Amelia that Scarlett is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Amelia is a knave or Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Scarlett that Amelia is a knave or Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Mason that Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight.", "We have exhausted all possibilities for Victoria, Mason, and Scarlett, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Amelia is a knave or Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Amelia is a knight.", "Victoria cannot be a knave, because this would contradict the claim of Mason that Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Mason that Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 2)), ('telling-truth', 3), ('telling-truth', 0))", "index": 664}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Oliver, Lily, and Evelyn. Lucas asserted: \"Lily is not a knight\". Oliver said, \"Lucas is a knave and Lily is a knight.\" Lily was heard saying, \"Evelyn is a knight or Oliver is a knight\". In a statement by Evelyn: \"If Lily is a knave then Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Oliver", "Lily", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Lucas is a knave, Oliver is a knight, Lily is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Oliver is a knight\n(3) Lily is a knight\n(4) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Lucas that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Evelyn is a knight or Oliver is a knight.", "Evelyn cannot be a knight, because this would contradict the false claim of Lily that Evelyn is a knight or Oliver is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that If Lily is a knave then Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Lily is a knight.", "Oliver cannot be a knave, because this would contradict the false claim of Evelyn that If Lily is a knave then Oliver is a knave.", "We have exhausted all possibilities for Oliver, Evelyn, and Lily, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Evelyn is a knight or Oliver is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Lily is a knave then Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Lucas is a knave and Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('and', ('lying', 0), ('telling-truth', 2)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('lying', 2), ('lying', 1)))", "index": 665}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Mason, Jack, and Mia. Owen expressed that Mason is not a knave. \"Mason is a knight if and only if Owen is a knave\" - Mason. Jack stated, \"Owen is not a knave\". \"Owen is a knave and Jack is a knave,\" Mia declared. So who is a knight and who is a knave?", "names": ["Owen", "Mason", "Jack", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Owen is a knave, Mason is a knave, Jack is a knave, and Mia is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Mason is a knave\n(3) Jack is a knave\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that Mason is a knight if and only if Owen is a knave.", "Mason cannot be a knave, because this would contradict the claim of Owen that Mason is not a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Mason is not a knave.", "Mason cannot be a knight, because this would contradict the false claim of Owen that Mason is not a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Owen is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Owen is not a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Owen is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Owen is a knave and Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('not', ('lying', 0)), ('and', ('lying', 0), ('lying', 2)))", "index": 666}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Jacob, Zoey, and Ethan. \"Ethan is a knight if and only if Zoey is a knight,\" Grace mentioned. According to Jacob, \"Ethan is a knight if and only if Zoey is a knight\". Zoey said, \"Ethan is a knave and Ethan is a knight.\" \"If Jacob is a knave then Grace is a knave,\" Ethan declared. So who is a knight and who is a knave?", "names": ["Grace", "Jacob", "Zoey", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Grace is a knave, Jacob is a knave, Zoey is a knave, and Ethan is a knight.", "solution_text_format": "(1) Grace is a knave\n(2) Jacob is a knave\n(3) Zoey is a knave\n(4) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Zoey is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Jacob is a knave then Grace is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Ethan is a knight.", "Zoey cannot be a knave, because this would contradict the claim of Grace that Ethan is a knight if and only if Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Ethan that If Jacob is a knave then Grace is a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Jacob is a knave then Grace is a knave.", "Jacob cannot be a knight, because this would contradict the false claim of Ethan that If Jacob is a knave then Grace is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Grace that Ethan is a knight if and only if Zoey is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of Jacob that Ethan is a knight if and only if Zoey is a knight.", "We have exhausted all possibilities for Zoey, Jacob, and Ethan, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Zoey is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Jacob is a knave then Grace is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Grace that Ethan is a knight if and only if Zoey is a knight.", "Zoey cannot be a knave, because this would contradict the claim of Jacob that Ethan is a knight if and only if Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Grace that Ethan is a knight if and only if Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Ethan is a knave and Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('lying', 3), ('telling-truth', 3)), ('->', ('lying', 1), ('lying', 0)))", "index": 667}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Daniel, Riley, and Lucas. In Elizabeth's words: \"Lucas is a knave\". Daniel stated, \"Elizabeth is a knight if and only if Daniel is a knight\". Riley stated, \"Elizabeth is a knight\". In a statement by Lucas: \"Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Daniel", "Riley", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Elizabeth is a knight, Daniel is a knight, Riley is a knight, and Lucas is a knave.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Daniel is a knight\n(3) Riley is a knight\n(4) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Elizabeth that Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Daniel is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 0), ('lying', 1))", "index": 668}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Mia, Oliver, and Mason. In a statement by Jacob: \"Oliver is a knave or Oliver is a knight\". In a statement by Mia: \"Oliver is a knight and Mason is a knave\". Oliver noted, \"Mason is a knave or Mia is a knight\". In Mason's words: \"Oliver is a knight if and only if Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Mia", "Oliver", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Jacob is a knight, Mia is a knight, Oliver is a knight, and Mason is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Mia is a knight\n(3) Oliver is a knight\n(4) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Oliver is a knave or Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Mason is a knave or Mia is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Oliver is a knight if and only if Oliver is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Oliver is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Oliver is a knight and Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('lying', 3)), ('or', ('lying', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 669}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Chloe, Liam, and Jack. Charlotte was heard saying, \"If Jack is a knight then Liam is a knave\". Chloe said that Jack is a knight or Liam is a knave. \"Jack is a knave and Liam is a knight\" - Liam. Jack said, \"Chloe is a knave and Charlotte is a knight.\" So who is a knight and who is a knave?", "names": ["Charlotte", "Chloe", "Liam", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Charlotte is a knight, Chloe is a knight, Liam is a knave, and Jack is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Chloe is a knight\n(3) Liam is a knave\n(4) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that If Jack is a knight then Liam is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Chloe is a knave and Charlotte is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Jack that Chloe is a knave and Charlotte is a knight.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Jack is a knight or Liam is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Chloe is a knave and Charlotte is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Jack is a knight or Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Chloe that Jack is a knight or Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Jack is a knave and Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 2)), ('or', ('telling-truth', 3), ('lying', 2)), ('and', ('lying', 3), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 0)))", "index": 670}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jackson, Harper, Noah, and Samuel. Jackson noted, \"Harper is a knave or Noah is a knight\". Harper said, \"Jackson is not a knight.\" Noah commented, \"Samuel is a knave or Harper is a knave\". Samuel said, \"Samuel is a knight if and only if Jackson is a knave.\" So who is a knight and who is a knave?", "names": ["Jackson", "Harper", "Noah", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Jackson is a knave, Harper is a knight, Noah is a knave, and Samuel is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Harper is a knight\n(3) Noah is a knave\n(4) Samuel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Harper is a knave or Noah is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Jackson is not a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Samuel is a knave or Harper is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Samuel is a knight if and only if Jackson is a knave.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight if and only if Jackson is a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Noah.", "Noah cannot be a knave, because this would contradict the false claim of their own that Samuel is a knave or Harper is a knave.", "We have exhausted all possibilities for Noah and Harper, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Harper is a knave or Noah is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Noah cannot be a knight, because this would contradict the false claim of Jackson that Harper is a knave or Noah is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Samuel is a knave or Harper is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('or', ('lying', 3), ('lying', 1)), ('<=>', ('telling-truth', 3), ('lying', 0)))", "index": 671}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Ava, Abigail, and Lucas. As Daniel put it, \"Abigail is a knight or Ava is a knave\". \"Lucas is a knight,\" Ava declared. Abigail noted, \"If Ava is a knight then Abigail is a knight\". Lucas said, \"Abigail is a knight.\" So who is a knight and who is a knave?", "names": ["Daniel", "Ava", "Abigail", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Daniel is a knight, Ava is a knight, Abigail is a knight, and Lucas is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Ava is a knight\n(3) Abigail is a knight\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Abigail is a knight or Ava is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Ava is a knight then Abigail is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('telling-truth', 3), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 2))", "index": 672}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Matthew, Penelope, and Grace. Mason noted, \"Penelope is a knight and Mason is a knight\". Matthew said that Mason is a knight if and only if Grace is a knight. \"Mason is not a knave,\" Penelope mentioned. Grace commented, \"If Penelope is a knave then Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Matthew", "Penelope", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Mason is a knight, Matthew is a knight, Penelope is a knight, and Grace is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Matthew is a knight\n(3) Penelope is a knight\n(4) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Penelope is a knight and Mason is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Mason is not a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Mason is a knight if and only if Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Penelope is a knave then Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('lying', 0)), ('->', ('lying', 2), ('telling-truth', 1)))", "index": 673}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Olivia, Benjamin, and Noah. Aiden told you that If Noah is a knight then Olivia is a knight. Olivia told you that Noah is a knave or Benjamin is a knight. Benjamin noted, \"Noah is a knight or Noah is a knave\". Noah was heard saying, \"Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Olivia", "Benjamin", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Aiden is a knight, Olivia is a knight, Benjamin is a knight, and Noah is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Olivia is a knight\n(3) Benjamin is a knight\n(4) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that If Noah is a knight then Olivia is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Aiden is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Aiden is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Noah is a knave or Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Noah is a knight or Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('lying', 3), ('telling-truth', 2)), ('or', ('telling-truth', 3), ('lying', 3)), ('lying', 0))", "index": 674}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Evelyn, Lucas, and Daniel. As Oliver put it, \"Oliver is a knight if and only if Lucas is a knave\". Evelyn stated, \"Oliver is a knave and Lucas is a knave\". \"Evelyn is not a knave\" - Lucas. In Daniel's words: \"Evelyn is not a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Evelyn", "Lucas", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Oliver is a knight, Evelyn is a knave, Lucas is a knave, and Daniel is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Evelyn is a knave\n(3) Lucas is a knave\n(4) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Oliver that Oliver is a knight if and only if Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Evelyn is not a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Oliver is a knave and Lucas is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Oliver is a knave and Lucas is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Evelyn is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 2)), ('and', ('lying', 0), ('lying', 2)), ('not', ('lying', 1)), ('not', ('telling-truth', 1)))", "index": 675}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Elizabeth, Samuel, and Evelyn. As Matthew put it, \"Elizabeth is a knight if and only if Evelyn is a knave\". Elizabeth said, \"Evelyn is not a knave.\" Samuel was heard saying, \"Evelyn is not a knight\". \"If Elizabeth is a knight then Matthew is a knave,\" Evelyn declared. So who is a knight and who is a knave?", "names": ["Matthew", "Elizabeth", "Samuel", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Matthew is a knave, Elizabeth is a knight, Samuel is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Elizabeth is a knight\n(3) Samuel is a knave\n(4) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Evelyn is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Matthew that Elizabeth is a knight if and only if Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Elizabeth that Evelyn is not a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Evelyn is not a knave.", "Evelyn cannot be a knight, because this would contradict the false claim of Elizabeth that Evelyn is not a knave.", "Evelyn cannot be a knave, because this would contradict the claim of Matthew that Elizabeth is a knight if and only if Evelyn is a knave.", "We have exhausted all possibilities for Evelyn and Elizabeth, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Evelyn is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Matthew is a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Evelyn is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Evelyn is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 3)), ('not', ('lying', 3)), ('not', ('telling-truth', 3)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 676}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Mia, Noah, and Sophia. In a statement by Jacob: \"If Mia is a knave then Sophia is a knight\". Mia asserted: \"If Noah is a knave then Sophia is a knave\". Noah said that If Sophia is a knave then Mia is a knave. Sophia remarked, \"If Jacob is a knave then Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Mia", "Noah", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Jacob is a knight, Mia is a knight, Noah is a knight, and Sophia is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Mia is a knight\n(3) Noah is a knight\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that If Mia is a knave then Sophia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Noah is a knave then Sophia is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Sophia is a knave then Mia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Jacob is a knave then Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 3)), ('->', ('lying', 2), ('lying', 3)), ('->', ('lying', 3), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 3)))", "index": 677}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aurora, Sebastian, Emma, and Charlotte. Aurora remarked, \"Charlotte is a knave if and only if Emma is a knight\". In a statement by Sebastian: \"Charlotte is a knave if and only if Emma is a knight\". Emma asserted: \"Aurora is a knave\". Charlotte stated, \"If Aurora is a knight then Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Sebastian", "Emma", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Aurora is a knave, Sebastian is a knave, Emma is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Sebastian is a knave\n(3) Emma is a knight\n(4) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Emma is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Aurora is a knight then Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Charlotte that If Aurora is a knight then Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of Aurora that Charlotte is a knave if and only if Emma is a knight.", "Emma cannot be a knave, because this would contradict the false claim of Sebastian that Charlotte is a knave if and only if Emma is a knight.", "We have exhausted all possibilities for Emma and Sebastian, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Aurora is a knight then Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Aurora is a knave.", "Emma cannot be a knave, because this would contradict the claim of Aurora that Charlotte is a knave if and only if Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of Charlotte that If Aurora is a knight then Sebastian is a knave.", "We have exhausted all possibilities for Sebastian and Charlotte, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Emma is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Aurora is a knight then Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of Sebastian that Charlotte is a knave if and only if Emma is a knight.", "Emma cannot be a knave, because this would contradict the false claim of Aurora that Charlotte is a knave if and only if Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Charlotte is a knave if and only if Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 2)), ('<=>', ('lying', 3), ('telling-truth', 2)), ('lying', 0), ('->', ('telling-truth', 0), ('lying', 1)))", "index": 678}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Noah, Mia, and Charlotte. Sofia stated, \"Noah is a knave or Mia is a knave\". Noah remarked, \"Noah is a knight or Charlotte is a knight\". Mia expressed that Sofia is not a knave. In a statement by Charlotte: \"Sofia is a knight and Mia is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Noah", "Mia", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Sofia is a knight, Noah is a knave, Mia is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Noah is a knave\n(3) Mia is a knight\n(4) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Noah is a knave or Mia is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Noah is a knight or Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Sofia is a knight and Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Sofia that Noah is a knave or Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that Sofia is not a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sofia is a knight and Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Sofia that Noah is a knave or Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that Sofia is not a knave.", "We have exhausted all possibilities for Mia and Charlotte, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Noah is a knight or Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Noah that Noah is a knight or Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Sofia is a knight and Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Sofia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('lying', 0)), ('and', ('telling-truth', 0), ('lying', 2)))", "index": 679}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Jackson, Victoria, and Owen. Samuel said that Victoria is a knight and Jackson is a knight. Jackson expressed that If Victoria is a knave then Owen is a knave. In Victoria's words: \"Jackson is a knight or Owen is a knave\". Owen asserted: \"Victoria is a knight if and only if Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Jackson", "Victoria", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Samuel is a knight, Jackson is a knight, Victoria is a knight, and Owen is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Jackson is a knight\n(3) Victoria is a knight\n(4) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Victoria is a knight and Jackson is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Jackson is a knight or Owen is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Victoria is a knave then Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Victoria is a knight if and only if Victoria is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 2), ('lying', 3)), ('or', ('telling-truth', 1), ('lying', 3)), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 680}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Zoey, Jackson, and Luke. \"Luke is a knight,\" Ava declared. According to Zoey, \"Ava is a knight and Luke is a knight\". \"Zoey is a knight or Zoey is a knave,\" Jackson declared. According to Luke, \"Jackson is not a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Zoey", "Jackson", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Ava is a knave, Zoey is a knave, Jackson is a knight, and Luke is a knave.", "solution_text_format": "(1) Ava is a knave\n(2) Zoey is a knave\n(3) Jackson is a knight\n(4) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Luke that Jackson is not a knight.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Zoey is a knight or Zoey is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the claim of Ava that Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Ava that Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Zoey is a knight or Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Ava is a knight and Luke is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Ava is a knight and Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('lying', 1)), ('not', ('telling-truth', 2)))", "index": 681}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Jackson, Chloe, and Ava. Jacob said, \"Ava is a knave and Jackson is a knave.\" Jackson said that Jacob is a knave if and only if Ava is a knave. \"Jackson is not a knave,\" Chloe claimed. Ava commented, \"Ava is a knight if and only if Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Jackson", "Chloe", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Jacob is a knight, Jackson is a knave, Chloe is a knave, and Ava is a knave.", "solution_text_format": "(1) Jacob is a knight\n(2) Jackson is a knave\n(3) Chloe is a knave\n(4) Ava is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Ava is a knave and Jackson is a knave.", "Ava cannot be a knight, because this would contradict the claim of Jacob that Ava is a knave and Jackson is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Jacob is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Jacob that Ava is a knave and Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Ava is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Jackson is not a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Jackson is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 1)), ('<=>', ('lying', 0), ('lying', 3)), ('not', ('lying', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)))", "index": 682}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Scarlett, Jacob, and Oliver. Olivia said, \"Oliver is not a knave.\" In Scarlett's words: \"Oliver is not a knave\". Jacob asserted: \"Olivia is a knight if and only if Oliver is a knight\". Oliver was heard saying, \"Olivia is a knave or Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Scarlett", "Jacob", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Olivia is a knight, Scarlett is a knight, Jacob is a knight, and Oliver is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Scarlett is a knight\n(3) Jacob is a knight\n(4) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Oliver is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Olivia is a knave or Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Oliver is not a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('not', ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('lying', 0), ('telling-truth', 1)))", "index": 683}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Logan, Liam, and Sophia. In James's words: \"Logan is not a knave\". Logan asserted: \"Liam is a knight\". \"James is a knight if and only if Logan is a knave,\" Liam mentioned. Sophia said that Logan is not a knight. So who is a knight and who is a knave?", "names": ["James", "Logan", "Liam", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "James is a knave, Logan is a knave, Liam is a knave, and Sophia is a knight.", "solution_text_format": "(1) James is a knave\n(2) Logan is a knave\n(3) Liam is a knave\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that James is a knight if and only if Logan is a knave.", "Liam cannot be a knave, because this would contradict the claim of Logan that Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the claim of James that Logan is not a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Logan is not a knave.", "Logan cannot be a knight, because this would contradict the false claim of James that Logan is not a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Liam is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Logan that Liam is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that James is a knight if and only if Logan is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Logan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('telling-truth', 2), ('<=>', ('telling-truth', 0), ('lying', 1)), ('not', ('telling-truth', 1)))", "index": 684}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Michael, William, and Zoey. As Luke put it, \"Michael is not a knight\". Michael stated, \"Michael is a knight and Zoey is a knave\". In a statement by William: \"Michael is not a knight\". Zoey stated, \"William is a knave if and only if Luke is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Michael", "William", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Luke is a knight, Michael is a knave, William is a knight, and Zoey is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Michael is a knave\n(3) William is a knight\n(4) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Michael is not a knight.", "Michael cannot be a knight, because this would contradict the claim of Luke that Michael is not a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Michael is a knight and Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that William is a knave if and only if Luke is a knave.", "Assume William is a knight. No contradiction is found in their claim that Michael is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 3)), ('not', ('telling-truth', 1)), ('<=>', ('lying', 2), ('lying', 0)))", "index": 685}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Harper, Oliver, and Scarlett. Zoey was heard saying, \"Scarlett is a knave\". Harper said that Zoey is a knave or Harper is a knight. As Oliver put it, \"Zoey is a knave\". Scarlett stated, \"Zoey is a knight if and only if Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Harper", "Oliver", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Zoey is a knave, Harper is a knight, Oliver is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Harper is a knight\n(3) Oliver is a knight\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Zoey that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Zoey is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of Scarlett that Zoey is a knight if and only if Oliver is a knave.", "We have exhausted all possibilities for Oliver and Scarlett, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Zoey is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Zoey is a knave or Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('or', ('lying', 0), ('telling-truth', 1)), ('lying', 0), ('<=>', ('telling-truth', 0), ('lying', 2)))", "index": 686}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Sofia, Penelope, and Daniel. Aria asserted: \"Penelope is a knight if and only if Sofia is a knave\". Sofia asserted: \"Daniel is a knave or Aria is a knave\". \"Sofia is a knave if and only if Daniel is a knave,\" Penelope claimed. \"Penelope is a knight and Aria is a knight,\" Daniel declared. So who is a knight and who is a knave?", "names": ["Aria", "Sofia", "Penelope", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Aria is a knight, Sofia is a knight, Penelope is a knave, and Daniel is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Sofia is a knight\n(3) Penelope is a knave\n(4) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Sofia is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Sofia is a knave if and only if Daniel is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Aria that Penelope is a knight if and only if Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Daniel is a knave or Aria is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Penelope that Sofia is a knave if and only if Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of Sofia that Daniel is a knave or Aria is a knave.", "We have exhausted all possibilities for Daniel and Sofia, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Daniel is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Daniel is a knave or Aria is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Sofia that Daniel is a knave or Aria is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Penelope is a knight and Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 3), ('lying', 0)), ('<=>', ('lying', 1), ('lying', 3)), ('and', ('telling-truth', 2), ('telling-truth', 0)))", "index": 687}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Jackson, James, and Ella. Henry said, \"James is a knave.\" Jackson said, \"James is a knave and James is a knight.\" \"Jackson is a knave\" - James. \"Jackson is a knight\" - Ella. So who is a knight and who is a knave?", "names": ["Henry", "Jackson", "James", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Henry is a knave, Jackson is a knave, James is a knight, and Ella is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) Jackson is a knave\n(3) James is a knight\n(4) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that James is a knave.", "James cannot be a knight, because this would contradict the claim of Henry that James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that James is a knave and James is a knight.", "Jackson cannot be a knave, because this would contradict the false claim of James that Jackson is a knave.", "We have exhausted all possibilities for Jackson and James, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that James is a knave and James is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that James is a knave and James is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Jackson is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('and', ('lying', 2), ('telling-truth', 2)), ('lying', 1), ('telling-truth', 1))", "index": 688}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Evelyn, Penelope, and Aurora. Samuel commented, \"Aurora is a knight if and only if Samuel is a knight\". Evelyn said, \"If Samuel is a knave then Aurora is a knave.\" Penelope said that Samuel is a knight. \"If Penelope is a knight then Evelyn is a knave\" - Aurora. So who is a knight and who is a knave?", "names": ["Samuel", "Evelyn", "Penelope", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Samuel is a knave, Evelyn is a knave, Penelope is a knave, and Aurora is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Evelyn is a knave\n(3) Penelope is a knave\n(4) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Samuel is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Penelope is a knight then Evelyn is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Samuel is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of Aurora that If Penelope is a knight then Evelyn is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that If Samuel is a knave then Aurora is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Samuel that Aurora is a knight if and only if Samuel is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Samuel is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Penelope is a knight then Evelyn is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Samuel is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Samuel is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that If Samuel is a knave then Aurora is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that If Samuel is a knave then Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('lying', 0), ('lying', 3)), ('telling-truth', 0), ('->', ('telling-truth', 2), ('lying', 1)))", "index": 689}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Abigail, Daniel, and David. According to Sofia, \"David is a knight or Sofia is a knight\". \"Abigail is a knight or Sofia is a knight\" - Abigail. Daniel told you that Abigail is a knight if and only if David is a knight. In a statement by David: \"Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Abigail", "Daniel", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Sofia is a knave, Abigail is a knave, Daniel is a knight, and David is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Abigail is a knave\n(3) Daniel is a knight\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that David is a knight or Sofia is a knight.", "Assume David is a knight. No contradiction is found in their claim that Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of David that Daniel is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if David is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Daniel that Abigail is a knight if and only if David is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Abigail is a knight or Sofia is a knight.", "We have exhausted all possibilities for Abigail and Daniel, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Abigail is a knight if and only if David is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Daniel that Abigail is a knight if and only if David is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Abigail is a knight or Sofia is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the false claim of David that Daniel is a knave.", "We have exhausted all possibilities for Daniel and David, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that David is a knight or Sofia is a knight.", "David cannot be a knight, because this would contradict the false claim of Sofia that David is a knight or Sofia is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Abigail is a knight if and only if David is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Daniel that Abigail is a knight if and only if David is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Abigail is a knight or Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('lying', 2))", "index": 690}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Logan, Mia, and Henry. \"If Mia is a knight then Henry is a knave,\" Grace claimed. Logan stated, \"Henry is a knight\". \"Logan is a knight and Grace is a knave\" - Mia. \"Logan is a knave if and only if Mia is a knave,\" Henry mentioned. So who is a knight and who is a knave?", "names": ["Grace", "Logan", "Mia", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Grace is a knave, Logan is a knight, Mia is a knight, and Henry is a knight.", "solution_text_format": "(1) Grace is a knave\n(2) Logan is a knight\n(3) Mia is a knight\n(4) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that If Mia is a knight then Henry is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Grace is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Logan is a knight and Grace is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Logan is a knave if and only if Mia is a knave.", "Henry cannot be a knave, because this would contradict the claim of Logan that Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Logan that Henry is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that Logan is a knave if and only if Mia is a knave.", "We have exhausted all possibilities for Henry, Logan, and Mia, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that If Mia is a knight then Henry is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Logan is a knight and Grace is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Logan is a knave if and only if Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 3)), ('telling-truth', 3), ('and', ('telling-truth', 1), ('lying', 0)), ('<=>', ('lying', 1), ('lying', 2)))", "index": 691}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Jacob, Sophia, and Liam. Matthew was heard saying, \"Liam is not a knave\". \"Liam is a knight if and only if Matthew is a knave,\" Jacob declared. Sophia remarked, \"If Jacob is a knight then Matthew is a knave\". As Liam put it, \"Sophia is a knave and Liam is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Jacob", "Sophia", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Matthew is a knave, Jacob is a knave, Sophia is a knight, and Liam is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Jacob is a knave\n(3) Sophia is a knight\n(4) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Liam is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Sophia is a knave and Liam is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Liam that Sophia is a knave and Liam is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Jacob is a knight then Matthew is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if Matthew is a knave.", "Jacob cannot be a knave, because this would contradict the false claim of Sophia that If Jacob is a knight then Matthew is a knave.", "We have exhausted all possibilities for Jacob and Sophia, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Matthew that Liam is not a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Liam is not a knave.", "Liam cannot be a knight, because this would contradict the false claim of Matthew that Liam is not a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Sophia is a knave and Liam is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Jacob is a knight then Matthew is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if Matthew is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('<=>', ('telling-truth', 3), ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 0)), ('and', ('lying', 2), ('telling-truth', 3)))", "index": 692}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Mia, Sophia, and Avery. David was heard saying, \"Avery is not a knave\". Mia told you that Sophia is not a knight. In Sophia's words: \"Sophia is a knight if and only if Mia is a knave\". Avery remarked, \"Sophia is a knight and Mia is a knight\". So who is a knight and who is a knave?", "names": ["David", "Mia", "Sophia", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "David is a knave, Mia is a knave, Sophia is a knight, and Avery is a knave.", "solution_text_format": "(1) David is a knave\n(2) Mia is a knave\n(3) Sophia is a knight\n(4) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Sophia is a knight and Mia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Sophia is not a knight.", "Mia cannot be a knave, because this would contradict the claim of Avery that Sophia is a knight and Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the claim of Avery that Sophia is a knight and Mia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of David that Avery is not a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of David that Avery is not a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Sophia is a knight and Mia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Sophia is not a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Sophia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('and', ('telling-truth', 2), ('telling-truth', 1)))", "index": 693}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jackson, Owen, Grace, and James. Jackson commented, \"James is a knight if and only if James is a knave\". As Owen put it, \"If Grace is a knave then Owen is a knight\". In Grace's words: \"James is not a knave\". James said, \"Owen is a knave.\" So who is a knight and who is a knave?", "names": ["Jackson", "Owen", "Grace", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Jackson is a knave, Owen is a knight, Grace is a knave, and James is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Owen is a knight\n(3) Grace is a knave\n(4) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Jackson cannot be a knight, because this would contradict the claim of their own that James is a knight if and only if James is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that James is a knight if and only if James is a knave.", "Assume James is a knight. No contradiction is found in their claim that Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of James that Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that If Grace is a knave then Owen is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Owen that If Grace is a knave then Owen is a knight.", "Grace cannot be a knave, because this would contradict the false claim of their own that James is not a knave.", "We have exhausted all possibilities for Grace and Owen, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Grace is a knave then Owen is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that James is not a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that James is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 3)), ('->', ('lying', 2), ('telling-truth', 1)), ('not', ('lying', 3)), ('lying', 1))", "index": 694}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Liam, Benjamin, and Michael. As Ava put it, \"Liam is a knight if and only if Liam is a knave\". As Liam put it, \"Benjamin is a knight and Benjamin is a knave\". \"Liam is a knave or Michael is a knight,\" Benjamin mentioned. Michael expressed that Ava is a knave. So who is a knight and who is a knave?", "names": ["Ava", "Liam", "Benjamin", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Ava is a knave, Liam is a knave, Benjamin is a knight, and Michael is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Liam is a knave\n(3) Benjamin is a knight\n(4) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Ava cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if Liam is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Benjamin is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Benjamin is a knight and Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Liam is a knave or Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 1), ('telling-truth', 3)), ('lying', 0))", "index": 695}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Olivia, Benjamin, and Aria. Owen expressed that If Owen is a knight then Olivia is a knight. Olivia commented, \"Aria is not a knight\". Benjamin noted, \"If Owen is a knave then Aria is a knight\". \"Olivia is a knave,\" Aria mentioned. So who is a knight and who is a knave?", "names": ["Owen", "Olivia", "Benjamin", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Owen is a knight, Olivia is a knight, Benjamin is a knight, and Aria is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Olivia is a knight\n(3) Benjamin is a knight\n(4) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that If Owen is a knight then Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Olivia that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Olivia is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Owen is a knave then Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 3)), ('lying', 1))", "index": 696}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, David, Alexander, and Luke. Aiden said, \"David is a knave if and only if Aiden is a knight.\" David remarked, \"Luke is not a knight\". \"David is a knight if and only if Luke is a knave,\" Alexander claimed. Luke expressed that If Aiden is a knave then Aiden is a knight. So who is a knight and who is a knave?", "names": ["Aiden", "David", "Alexander", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Aiden is a knight, David is a knave, Alexander is a knight, and Luke is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) David is a knave\n(3) Alexander is a knight\n(4) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that David is a knave if and only if Aiden is a knight.", "David cannot be a knight, because this would contradict the claim of Aiden that David is a knave if and only if Aiden is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Aiden is a knave then Aiden is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that David is a knight if and only if Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 0)))", "index": 697}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Harper, Emily, and Mia. Henry stated, \"Mia is a knave if and only if Emily is a knave\". Harper asserted: \"Emily is a knave\". Emily said, \"Henry is not a knave.\" In a statement by Mia: \"If Emily is a knave then Henry is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Harper", "Emily", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Henry is a knight, Harper is a knave, Emily is a knight, and Mia is a knight.", "solution_text_format": "(1) Henry is a knight\n(2) Harper is a knave\n(3) Emily is a knight\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Mia is a knave if and only if Emily is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If Emily is a knave then Henry is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Henry is not a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Emily is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 2)), ('lying', 2), ('not', ('lying', 0)), ('->', ('lying', 2), ('telling-truth', 0)))", "index": 698}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, James, Michael, and Lily. \"James is a knight or Lily is a knight\" - Mason. James stated, \"Lily is a knight and Mason is a knight\". Michael stated, \"James is a knave if and only if Lily is a knight\". \"Lily is a knight if and only if James is a knight\" - Lily. So who is a knight and who is a knave?", "names": ["Mason", "James", "Michael", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Mason is a knight, James is a knight, Michael is a knave, and Lily is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) James is a knight\n(3) Michael is a knave\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that James is a knight or Lily is a knight.", "Assume James is a knight. No contradiction is found in their claim that Lily is a knight and Mason is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight if and only if James is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that James is a knave if and only if Lily is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that James is a knave if and only if Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)))", "index": 699}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Zoey, Matthew, and Ethan. In a statement by Elizabeth: \"Matthew is a knave and Ethan is a knight\". Zoey commented, \"Elizabeth is a knave or Matthew is a knight\". Matthew was heard saying, \"If Zoey is a knave then Ethan is a knight\". Ethan said, \"If Elizabeth is a knight then Zoey is a knave.\" So who is a knight and who is a knave?", "names": ["Elizabeth", "Zoey", "Matthew", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Elizabeth is a knave, Zoey is a knight, Matthew is a knight, and Ethan is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Zoey is a knight\n(3) Matthew is a knight\n(4) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Matthew is a knave and Ethan is a knight.", "Matthew cannot be a knight, because this would contradict the claim of Elizabeth that Matthew is a knave and Ethan is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Zoey is a knave then Ethan is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave or Matthew is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Elizabeth is a knave or Matthew is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Matthew that If Zoey is a knave then Ethan is a knight.", "Ethan cannot be a knave, because this would contradict the claim of Elizabeth that Matthew is a knave and Ethan is a knight.", "We have exhausted all possibilities for Ethan, Zoey, and Matthew, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Matthew is a knave and Ethan is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Zoey is a knave then Ethan is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Elizabeth is a knave or Matthew is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('or', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('lying', 1)))", "index": 700}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, Grace, Matthew, and Mia. As Abigail put it, \"Matthew is a knight and Matthew is a knave\". \"Abigail is a knave if and only if Matthew is a knight\" - Grace. In a statement by Matthew: \"If Mia is a knave then Abigail is a knave\". Mia expressed that Grace is a knight and Abigail is a knight. So who is a knight and who is a knave?", "names": ["Abigail", "Grace", "Matthew", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Abigail is a knave, Grace is a knight, Matthew is a knight, and Mia is a knave.", "solution_text_format": "(1) Abigail is a knave\n(2) Grace is a knight\n(3) Matthew is a knight\n(4) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Abigail cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Matthew is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Matthew is a knight and Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Mia is a knave then Abigail is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Grace is a knight and Abigail is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Grace is a knight and Abigail is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 3), ('lying', 0)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 701}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Ethan, Harper, and Isabella. In a statement by Mia: \"If Ethan is a knave then Mia is a knight\". \"Mia is not a knave\" - Ethan. According to Harper, \"Mia is a knave or Isabella is a knave\". Isabella commented, \"If Harper is a knave then Ethan is a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Ethan", "Harper", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Mia is a knave, Ethan is a knave, Harper is a knight, and Isabella is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Ethan is a knave\n(3) Harper is a knight\n(4) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that If Ethan is a knave then Mia is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Mia is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Mia is a knave or Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Harper that Mia is a knave or Isabella is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of their own that If Harper is a knave then Ethan is a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Mia is a knave or Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that If Harper is a knave then Ethan is a knave.", "Isabella cannot be a knave, because this would contradict the false claim of Harper that Mia is a knave or Isabella is a knave.", "We have exhausted all possibilities for Isabella and Harper, so let us go back and reconsider Ethan.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Mia is not a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that If Ethan is a knave then Mia is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Mia that If Ethan is a knave then Mia is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Mia is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Mia is a knave or Isabella is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Harper is a knave then Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('not', ('lying', 0)), ('or', ('lying', 0), ('lying', 3)), ('->', ('lying', 2), ('lying', 1)))", "index": 702}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Aiden, Charlotte, and Ethan. James said that Ethan is a knight or James is a knight. As Aiden put it, \"James is a knave\". Charlotte told you that James is a knave if and only if James is a knight. \"Aiden is a knight if and only if Charlotte is a knave,\" Ethan mentioned. So who is a knight and who is a knave?", "names": ["James", "Aiden", "Charlotte", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "James is a knight, Aiden is a knave, Charlotte is a knave, and Ethan is a knave.", "solution_text_format": "(1) James is a knight\n(2) Aiden is a knave\n(3) Charlotte is a knave\n(4) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Ethan is a knight or James is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Charlotte is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that James is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that James is a knave if and only if James is a knight.", "Charlotte cannot be a knave, because this would contradict the claim of Ethan that Aiden is a knight if and only if Charlotte is a knave.", "We have exhausted all possibilities for Charlotte and Aiden, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Charlotte is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that James is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that James is a knave if and only if James is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that James is a knave if and only if James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 0), ('<=>', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 2)))", "index": 703}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Samuel, Riley, and Ella. Lily said that Riley is a knight and Lily is a knight. Samuel expressed that Riley is not a knave. \"Lily is not a knight\" - Riley. Ella said, \"Lily is a knave.\" So who is a knight and who is a knave?", "names": ["Lily", "Samuel", "Riley", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Lily is a knave, Samuel is a knight, Riley is a knight, and Ella is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Samuel is a knight\n(3) Riley is a knight\n(4) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Riley is a knight and Lily is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Lily is not a knight.", "Riley cannot be a knave, because this would contradict the claim of Lily that Riley is a knight and Lily is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Riley is a knight and Lily is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Lily is not a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Riley is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('lying', 2)), ('not', ('telling-truth', 0)), ('lying', 0))", "index": 704}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Liam, Matthew, and Riley. Scarlett asserted: \"Scarlett is a knight or Matthew is a knave\". Liam asserted: \"Riley is a knave and Liam is a knight\". Matthew stated, \"Liam is a knave and Scarlett is a knave\". In Riley's words: \"Riley is a knight if and only if Liam is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Liam", "Matthew", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Scarlett is a knight, Liam is a knight, Matthew is a knave, and Riley is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Liam is a knight\n(3) Matthew is a knave\n(4) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight or Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Liam is a knave and Scarlett is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Liam is a knave and Scarlett is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Riley is a knave and Liam is a knight.", "Riley cannot be a knight, because this would contradict the claim of Liam that Riley is a knave and Liam is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 2)), ('and', ('lying', 3), ('telling-truth', 1)), ('and', ('lying', 1), ('lying', 0)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)))", "index": 705}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Emily, Sofia, and Samuel. Matthew commented, \"Sofia is a knight or Matthew is a knight\". Emily said, \"Emily is a knight or Sofia is a knave.\" In a statement by Sofia: \"Matthew is not a knight\". Samuel expressed that Emily is not a knave. So who is a knight and who is a knave?", "names": ["Matthew", "Emily", "Sofia", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Matthew is a knight, Emily is a knight, Sofia is a knave, and Samuel is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Emily is a knight\n(3) Sofia is a knave\n(4) Samuel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Sofia is a knight or Matthew is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Matthew is not a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight or Sofia is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Emily is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 0)), ('not', ('lying', 1)))", "index": 706}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Elizabeth, Logan, and Penelope. Victoria told you that Logan is a knight if and only if Victoria is a knight. \"Penelope is a knave and Logan is a knave,\" Elizabeth declared. \"Victoria is a knight and Elizabeth is a knave,\" Logan claimed. Penelope said that Victoria is a knave and Elizabeth is a knave. So who is a knight and who is a knave?", "names": ["Victoria", "Elizabeth", "Logan", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Victoria is a knight, Elizabeth is a knave, Logan is a knight, and Penelope is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Elizabeth is a knave\n(3) Logan is a knight\n(4) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Logan is a knight if and only if Victoria is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Victoria is a knight and Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Logan is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Penelope is a knave and Logan is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Elizabeth is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Victoria is a knave and Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('lying', 3), ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 1)), ('and', ('lying', 0), ('lying', 1)))", "index": 707}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Olivia, Henry, and Benjamin. \"Henry is a knave or Henry is a knight,\" Emily mentioned. Olivia said, \"Henry is a knight and Emily is a knave.\" Henry said that Olivia is a knight and Henry is a knight. Benjamin said, \"Henry is a knight.\" So who is a knight and who is a knave?", "names": ["Emily", "Olivia", "Henry", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Emily is a knight, Olivia is a knave, Henry is a knave, and Benjamin is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Olivia is a knave\n(3) Henry is a knave\n(4) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Henry is a knave or Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Olivia is a knight and Henry is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Emily is a knave.", "Olivia cannot be a knave, because this would contradict the claim of Henry that Olivia is a knight and Henry is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Olivia is a knight and Henry is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Henry is a knight and Emily is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Henry is a knight and Emily is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Henry is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('lying', 0)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 2))", "index": 708}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Grace, Chloe, and Ava. Emma told you that Grace is a knave and Grace is a knight. In a statement by Grace: \"Chloe is a knave and Emma is a knave\". \"Ava is a knave if and only if Grace is a knave,\" Chloe declared. Ava told you that If Chloe is a knight then Emma is a knight. So who is a knight and who is a knave?", "names": ["Emma", "Grace", "Chloe", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Emma is a knave, Grace is a knave, Chloe is a knight, and Ava is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Grace is a knave\n(3) Chloe is a knight\n(4) Ava is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Emma cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Grace is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Grace is a knave and Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Chloe is a knave and Emma is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Grace that Chloe is a knave and Emma is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Grace is a knave.", "Ava cannot be a knight, because this would contradict the false claim of Chloe that Ava is a knave if and only if Grace is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knight then Emma is a knight.", "We have exhausted all possibilities for Ava and Chloe, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Chloe is a knave and Emma is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Ava is a knave if and only if Grace is a knave.", "Ava cannot be a knight, because this would contradict the claim of Chloe that Ava is a knave if and only if Grace is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that If Chloe is a knight then Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('and', ('lying', 2), ('lying', 0)), ('<=>', ('lying', 3), ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 0)))", "index": 709}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Oliver, Lucas, and Sebastian. According to Olivia, \"Oliver is a knight\". Oliver expressed that Lucas is a knave and Sebastian is a knight. Lucas stated, \"Sebastian is not a knight\". Sebastian commented, \"Oliver is a knight and Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Oliver", "Lucas", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Olivia is a knave, Oliver is a knave, Lucas is a knight, and Sebastian is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) Oliver is a knave\n(3) Lucas is a knight\n(4) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Lucas is a knave and Sebastian is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Oliver that Lucas is a knave and Sebastian is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Lucas is a knight.", "Sebastian cannot be a knave, because this would contradict the claim of Oliver that Lucas is a knave and Sebastian is a knight.", "We have exhausted all possibilities for Sebastian and Lucas, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Olivia that Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Olivia that Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Lucas is a knave and Sebastian is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Lucas that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Oliver is a knight and Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('lying', 2), ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 1), ('telling-truth', 2)))", "index": 710}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Emma, Grace, and Zoey. Joseph asserted: \"Emma is a knight or Zoey is a knight\". Emma was heard saying, \"If Zoey is a knave then Grace is a knight\". \"Zoey is not a knight,\" Grace claimed. \"Joseph is not a knight\" - Zoey. So who is a knight and who is a knave?", "names": ["Joseph", "Emma", "Grace", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Joseph is a knight, Emma is a knight, Grace is a knight, and Zoey is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Emma is a knight\n(3) Grace is a knight\n(4) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Emma is a knight or Zoey is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Zoey is a knave then Grace is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Joseph is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Joseph is not a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Zoey is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('lying', 3), ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 0)))", "index": 711}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Henry, Grace, and Joseph. Sofia commented, \"Grace is a knave and Henry is a knight\". Henry said that Joseph is a knight and Sofia is a knave. \"If Sofia is a knave then Joseph is a knave,\" Grace declared. \"Grace is not a knight,\" Joseph declared. So who is a knight and who is a knave?", "names": ["Sofia", "Henry", "Grace", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Sofia is a knave, Henry is a knave, Grace is a knight, and Joseph is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Henry is a knave\n(3) Grace is a knight\n(4) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Grace is a knave and Henry is a knight.", "Grace cannot be a knight, because this would contradict the claim of Sofia that Grace is a knave and Henry is a knight.", "Grace cannot be a knave, because this would contradict the false claim of their own that If Sofia is a knave then Joseph is a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Grace is a knave and Henry is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Sofia is a knave then Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Grace that If Sofia is a knave then Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Sofia is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Joseph is a knight and Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('lying', 0)), ('->', ('lying', 0), ('lying', 3)), ('not', ('telling-truth', 2)))", "index": 712}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Jack, Elizabeth, and Lucas. As Amelia put it, \"Lucas is a knave\". Jack stated, \"Lucas is a knight\". Elizabeth asserted: \"If Amelia is a knave then Lucas is a knave\". Lucas asserted: \"Amelia is a knight if and only if Jack is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Jack", "Elizabeth", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Amelia is a knave, Jack is a knight, Elizabeth is a knave, and Lucas is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Jack is a knight\n(3) Elizabeth is a knave\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Amelia that Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Lucas is a knight.", "Jack cannot be a knave, because this would contradict the false claim of Lucas that Amelia is a knight if and only if Jack is a knave.", "We have exhausted all possibilities for Jack and Lucas, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Lucas is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that If Amelia is a knave then Lucas is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Amelia is a knave then Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('telling-truth', 3), ('->', ('lying', 0), ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 1)))", "index": 713}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, David, Jack, and Jackson. \"Jackson is a knave if and only if Jackson is a knight,\" Liam claimed. In a statement by David: \"Jack is a knave if and only if Jackson is a knight\". Jack said, \"David is a knight or Liam is a knave.\" Jackson was heard saying, \"Jack is not a knight\". So who is a knight and who is a knave?", "names": ["Liam", "David", "Jack", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Liam is a knave, David is a knight, Jack is a knight, and Jackson is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) David is a knight\n(3) Jack is a knight\n(4) Jackson is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Liam cannot be a knight, because this would contradict the claim of their own that Jackson is a knave if and only if Jackson is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Jack is not a knight.", "Jack cannot be a knight, because this would contradict the claim of Jackson that Jack is not a knight.", "Jack cannot be a knave, because this would contradict the false claim of their own that David is a knight or Liam is a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jack is not a knight.", "Assume Jack is a knight. No contradiction is found in their claim that David is a knight or Liam is a knave.", "Assume David is a knight. No contradiction is found in their claim that Jack is a knave if and only if Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 3)), ('<=>', ('lying', 2), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('lying', 0)), ('not', ('telling-truth', 2)))", "index": 714}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Aria, Matthew, and Aurora. \"Aurora is a knight or Chloe is a knight,\" Chloe claimed. In Aria's words: \"Chloe is a knight\". Matthew said that If Chloe is a knave then Aurora is a knight. Aurora stated, \"Aria is not a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Aria", "Matthew", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Chloe is a knight, Aria is a knight, Matthew is a knight, and Aurora is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Aria is a knight\n(3) Matthew is a knight\n(4) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Aurora is a knight or Chloe is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Aurora that Aria is not a knight.", "Aria cannot be a knave, because this would contradict the false claim of their own that Chloe is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aria is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Chloe is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Chloe is a knave then Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 0)), ('telling-truth', 0), ('->', ('lying', 0), ('telling-truth', 3)), ('not', ('telling-truth', 1)))", "index": 715}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Oliver, Chloe, and James. Henry said that Oliver is a knight. \"Chloe is not a knight\" - Oliver. Chloe said, \"James is a knight and Oliver is a knight.\" \"James is a knight and Chloe is a knight,\" James mentioned. So who is a knight and who is a knave?", "names": ["Henry", "Oliver", "Chloe", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Henry is a knight, Oliver is a knight, Chloe is a knave, and James is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Oliver is a knight\n(3) Chloe is a knave\n(4) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Chloe is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of Oliver that Chloe is not a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that James is a knight and Oliver is a knight.", "James cannot be a knight, because this would contradict the false claim of Chloe that James is a knight and Oliver is a knight.", "Assume James is a knave. No contradiction is found in their false claim that James is a knight and Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('telling-truth', 2)))", "index": 716}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Oliver, Alexander, and Sebastian. Luke commented, \"Sebastian is a knave if and only if Alexander is a knave\". Oliver said, \"Luke is a knave.\" \"If Oliver is a knave then Sebastian is a knight\" - Alexander. Sebastian noted, \"If Alexander is a knave then Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Oliver", "Alexander", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Luke is a knight, Oliver is a knave, Alexander is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Oliver is a knave\n(3) Alexander is a knight\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Sebastian is a knave if and only if Alexander is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Alexander is a knave then Oliver is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Oliver is a knave then Sebastian is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Luke is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 2)), ('lying', 0), ('->', ('lying', 1), ('telling-truth', 3)), ('->', ('lying', 2), ('lying', 1)))", "index": 717}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, Joseph, Aurora, and Owen. Sebastian stated, \"Joseph is not a knight\". \"Owen is a knave and Sebastian is a knave,\" Joseph claimed. Aurora was heard saying, \"Sebastian is not a knight\". Owen noted, \"If Aurora is a knave then Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Sebastian", "Joseph", "Aurora", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Sebastian is a knight, Joseph is a knave, Aurora is a knave, and Owen is a knave.", "solution_text_format": "(1) Sebastian is a knight\n(2) Joseph is a knave\n(3) Aurora is a knave\n(4) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Sebastian that Joseph is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Owen is a knave and Sebastian is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Aurora is a knave then Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knight.", "Aurora cannot be a knave, because this would contradict the claim of Owen that If Aurora is a knave then Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that If Aurora is a knave then Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Sebastian is not a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Sebastian is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('lying', 3), ('lying', 0)), ('not', ('telling-truth', 0)), ('->', ('lying', 2), ('telling-truth', 2)))", "index": 718}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Ella, Mason, and Samuel. Matthew asserted: \"Samuel is a knave if and only if Ella is a knave\". Ella asserted: \"Samuel is not a knight\". \"Matthew is a knight\" - Mason. As Samuel put it, \"If Matthew is a knight then Mason is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Ella", "Mason", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Matthew is a knave, Ella is a knave, Mason is a knave, and Samuel is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Ella is a knave\n(3) Mason is a knave\n(4) Samuel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Ella is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Matthew is a knight then Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Matthew is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Samuel is not a knight.", "Ella cannot be a knave, because this would contradict the claim of Matthew that Samuel is a knave if and only if Ella is a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Matthew is a knight then Mason is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Samuel that If Matthew is a knight then Mason is a knight.", "Mason cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight.", "We have exhausted all possibilities for Mason and Samuel, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Samuel is a knave if and only if Ella is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Matthew is a knight then Mason is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Matthew is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Matthew is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Matthew that Samuel is a knave if and only if Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Samuel is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('lying', 1)), ('not', ('telling-truth', 3)), ('telling-truth', 0), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "index": 719}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Joseph, Sophia, and Elizabeth. Aria remarked, \"Sophia is not a knight\". Joseph said that If Joseph is a knight then Elizabeth is a knave. In Sophia's words: \"Elizabeth is a knight and Joseph is a knave\". Elizabeth was heard saying, \"Sophia is a knight if and only if Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Joseph", "Sophia", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Aria is a knight, Joseph is a knight, Sophia is a knave, and Elizabeth is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Joseph is a knight\n(3) Sophia is a knave\n(4) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Sophia is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of Aria that Sophia is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Joseph is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that If Joseph is a knight then Elizabeth is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knight then Elizabeth is a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Joseph is a knight then Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('->', ('telling-truth', 1), ('lying', 3)), ('and', ('telling-truth', 3), ('lying', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)))", "index": 720}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Samuel, Aurora, and Logan. \"Logan is not a knave,\" Isabella claimed. Samuel noted, \"If Logan is a knight then Samuel is a knight\". \"Logan is a knave and Aurora is a knight,\" Aurora declared. Logan said that Aurora is a knight and Isabella is a knave. So who is a knight and who is a knave?", "names": ["Isabella", "Samuel", "Aurora", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Isabella is a knave, Samuel is a knight, Aurora is a knave, and Logan is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) Samuel is a knight\n(3) Aurora is a knave\n(4) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Logan is not a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Isabella is a knave.", "Logan cannot be a knave, because this would contradict the claim of Isabella that Logan is not a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Logan is not a knave.", "Logan cannot be a knight, because this would contradict the false claim of Isabella that Logan is not a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Aurora is a knight and Isabella is a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Logan that Aurora is a knight and Isabella is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Logan is a knave and Aurora is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Logan is a knight then Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('lying', 3), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('lying', 0)))", "index": 721}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, Ava, Alexander, and David. Abigail noted, \"David is a knave or Alexander is a knight\". Ava was heard saying, \"Abigail is a knave if and only if Alexander is a knave\". As Alexander put it, \"If Ava is a knight then Ava is a knave\". David remarked, \"Ava is not a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Ava", "Alexander", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Abigail is a knave, Ava is a knight, Alexander is a knave, and David is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Ava is a knight\n(3) Alexander is a knave\n(4) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that David is a knave or Alexander is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ava is not a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that If Ava is a knight then Ava is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Abigail that David is a knave or Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the claim of David that Ava is not a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Ava is not a knave.", "Ava cannot be a knight, because this would contradict the false claim of David that Ava is not a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Ava that Abigail is a knave if and only if Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of their own that If Ava is a knight then Ava is a knave.", "We have exhausted all possibilities for Alexander, Ava, and David, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that David is a knave or Alexander is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ava is not a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Abigail that David is a knave or Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Ava is a knight then Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 2)), ('<=>', ('lying', 0), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 1)))", "index": 722}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Riley, Zoey, and Scarlett. Aiden said that Zoey is a knave if and only if Riley is a knight. In Riley's words: \"If Aiden is a knight then Riley is a knight\". Zoey asserted: \"Scarlett is not a knave\". Scarlett remarked, \"Aiden is a knave and Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Riley", "Zoey", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Aiden is a knight, Riley is a knight, Zoey is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Riley is a knight\n(3) Zoey is a knave\n(4) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Riley is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Zoey is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Zoey that Scarlett is not a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Scarlett is not a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Zoey that Scarlett is not a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Aiden is a knave and Zoey is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Aiden is a knight then Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 3)), ('and', ('lying', 0), ('lying', 2)))", "index": 723}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aurora, Ava, Chloe, and Penelope. Aurora expressed that Ava is not a knave. Ava said, \"Chloe is a knave if and only if Chloe is a knight.\" As Chloe put it, \"Penelope is not a knave\". Penelope said, \"Ava is not a knight.\" So who is a knight and who is a knave?", "names": ["Aurora", "Ava", "Chloe", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Aurora is a knave, Ava is a knave, Chloe is a knight, and Penelope is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Ava is a knave\n(3) Chloe is a knight\n(4) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Ava is not a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Chloe is a knight.", "Ava cannot be a knave, because this would contradict the claim of Aurora that Ava is not a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Ava is not a knave.", "Ava cannot be a knight, because this would contradict the false claim of Aurora that Ava is not a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Penelope is not a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that Ava is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 3)), ('not', ('telling-truth', 1)))", "index": 724}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Amelia, Alexander, and Henry. In Sofia's words: \"Amelia is a knave\". Amelia commented, \"Alexander is a knave\". Alexander remarked, \"Henry is a knight or Sofia is a knave\". Henry told you that Sofia is a knight. So who is a knight and who is a knave?", "names": ["Sofia", "Amelia", "Alexander", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Sofia is a knight, Amelia is a knave, Alexander is a knight, and Henry is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Amelia is a knave\n(3) Alexander is a knight\n(4) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Sofia that Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Alexander is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Henry is a knight or Sofia is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('lying', 2), ('or', ('telling-truth', 3), ('lying', 0)), ('telling-truth', 0))", "index": 725}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, James, Jacob, and Lily. In Amelia's words: \"Jacob is not a knight\". James noted, \"If Lily is a knight then Jacob is a knave\". Jacob said that If James is a knave then Jacob is a knight. According to Lily, \"Amelia is a knave or Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "James", "Jacob", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Amelia is a knave, James is a knave, Jacob is a knight, and Lily is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) James is a knave\n(3) Jacob is a knight\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of Amelia that Jacob is not a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that If James is a knave then Jacob is a knight.", "James cannot be a knight, because this would contradict the false claim of Jacob that If James is a knave then Jacob is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that If Lily is a knight then Jacob is a knave.", "We have exhausted all possibilities for James and Jacob, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jacob is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If James is a knave then Jacob is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Lily is a knight then Jacob is a knave.", "Lily cannot be a knight, because this would contradict the claim of James that If Lily is a knight then Jacob is a knave.", "Lily cannot be a knave, because this would contradict the false claim of their own that Amelia is a knave or Amelia is a knight.", "We have exhausted all possibilities for Lily, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that If Lily is a knight then Jacob is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Amelia is a knave or Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('->', ('telling-truth', 3), ('lying', 2)), ('->', ('lying', 1), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 726}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Avery, Michael, and Victoria. \"If Avery is a knave then Emma is a knight,\" Emma claimed. \"Michael is a knave or Victoria is a knight\" - Avery. \"Avery is not a knave,\" Michael mentioned. Victoria stated, \"If Avery is a knave then Emma is a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Avery", "Michael", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Emma is a knight, Avery is a knight, Michael is a knight, and Victoria is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Avery is a knight\n(3) Michael is a knight\n(4) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that If Avery is a knave then Emma is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Michael is a knave or Victoria is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Avery is a knave then Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('or', ('lying', 2), ('telling-truth', 3)), ('not', ('lying', 1)), ('->', ('lying', 1), ('lying', 0)))", "index": 727}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Sophia, Mason, and Avery. According to Lucas, \"Lucas is a knight and Avery is a knight\". \"Avery is a knave and Mason is a knave,\" Sophia claimed. Mason said, \"Avery is a knave or Lucas is a knave.\" Avery said, \"Mason is a knave if and only if Sophia is a knight.\" So who is a knight and who is a knave?", "names": ["Lucas", "Sophia", "Mason", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Lucas is a knave, Sophia is a knave, Mason is a knight, and Avery is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Sophia is a knave\n(3) Mason is a knight\n(4) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Lucas is a knight and Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Mason is a knave if and only if Sophia is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Avery is a knave or Lucas is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Avery is a knave or Lucas is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Mason is a knave.", "Sophia cannot be a knave, because this would contradict the claim of Avery that Mason is a knave if and only if Sophia is a knight.", "We have exhausted all possibilities for Sophia and Mason, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Lucas that Lucas is a knight and Avery is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Lucas is a knight and Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Mason is a knave if and only if Sophia is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Avery is a knave or Lucas is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Avery is a knave and Mason is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Avery is a knave and Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 3)), ('and', ('lying', 3), ('lying', 2)), ('or', ('lying', 3), ('lying', 0)), ('<=>', ('lying', 2), ('telling-truth', 1)))", "index": 728}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Isabella, Chloe, and Joseph. Alexander said that Isabella is a knave if and only if Chloe is a knave. According to Isabella, \"Alexander is a knight and Alexander is a knave\". Chloe said, \"If Isabella is a knight then Alexander is a knave.\" Joseph stated, \"Alexander is a knight and Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Isabella", "Chloe", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Alexander is a knave, Isabella is a knave, Chloe is a knight, and Joseph is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) Isabella is a knave\n(3) Chloe is a knight\n(4) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Chloe is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Alexander is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Alexander is a knight and Alexander is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Alexander that Isabella is a knave if and only if Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that If Isabella is a knight then Alexander is a knave.", "We have exhausted all possibilities for Chloe and Isabella, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Chloe is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Alexander is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Alexander is a knight and Alexander is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that If Isabella is a knight then Alexander is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Chloe is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Alexander is a knight and Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 0), ('lying', 2)))", "index": 729}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Ella, Liam, and Oliver. Ethan was heard saying, \"Ethan is a knight\". \"Ethan is a knight if and only if Liam is a knave\" - Ella. \"If Liam is a knight then Oliver is a knight,\" Liam claimed. \"Ethan is a knight and Ella is a knave,\" Oliver mentioned. So who is a knight and who is a knave?", "names": ["Ethan", "Ella", "Liam", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Ethan is a knight, Ella is a knave, Liam is a knight, and Oliver is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Ella is a knave\n(3) Liam is a knight\n(4) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Ella that Ethan is a knight if and only if Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that If Liam is a knight then Oliver is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Liam is a knight then Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Ethan is a knight and Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('<=>', ('telling-truth', 0), ('lying', 2)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('lying', 1)))", "index": 730}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Abigail, Jackson, and Elizabeth. Sophia asserted: \"Jackson is a knave and Abigail is a knave\". Abigail remarked, \"Abigail is a knight\". Jackson asserted: \"Elizabeth is not a knight\". According to Elizabeth, \"Sophia is a knight if and only if Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Abigail", "Jackson", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Sophia is a knave, Abigail is a knight, Jackson is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Sophia is a knave\n(2) Abigail is a knight\n(3) Jackson is a knight\n(4) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Jackson is a knave and Abigail is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Sophia that Jackson is a knave and Abigail is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the claim of Sophia that Jackson is a knave and Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the claim of Elizabeth that Sophia is a knight if and only if Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the false claim of Jackson that Elizabeth is not a knight.", "We have exhausted all possibilities for Elizabeth and Jackson, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Jackson is a knave and Abigail is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Jackson that Elizabeth is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('telling-truth', 1), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 731}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Aurora, Sofia, and Avery. Owen remarked, \"Avery is a knave or Sofia is a knave\". Aurora told you that Owen is a knight. \"Avery is not a knight,\" Sofia declared. Avery noted, \"If Sofia is a knave then Avery is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Aurora", "Sofia", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Owen is a knight, Aurora is a knight, Sofia is a knave, and Avery is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Aurora is a knight\n(3) Sofia is a knave\n(4) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Avery is a knave or Sofia is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Sofia is a knave then Avery is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Owen that Avery is a knave or Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Avery is not a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 2)), ('telling-truth', 0), ('not', ('telling-truth', 3)), ('->', ('lying', 2), ('telling-truth', 3)))", "index": 732}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Chloe, Scarlett, and Zoey. Victoria remarked, \"Chloe is a knight if and only if Chloe is a knave\". Chloe was heard saying, \"Victoria is not a knight\". Scarlett said that If Victoria is a knight then Zoey is a knave. Zoey expressed that If Chloe is a knight then Victoria is a knave. So who is a knight and who is a knave?", "names": ["Victoria", "Chloe", "Scarlett", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Victoria is a knave, Chloe is a knight, Scarlett is a knight, and Zoey is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Chloe is a knight\n(3) Scarlett is a knight\n(4) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Victoria cannot be a knight, because this would contradict the claim of their own that Chloe is a knight if and only if Chloe is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Victoria is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Victoria is a knight then Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Chloe is a knight then Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 0), ('lying', 3)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 733}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, Joseph, Riley, and Harper. Avery said that Riley is a knight if and only if Harper is a knave. Joseph said that Joseph is a knight or Riley is a knave. \"Avery is a knight or Harper is a knave,\" Riley declared. Harper commented, \"If Riley is a knight then Joseph is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Joseph", "Riley", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Avery is a knight, Joseph is a knight, Riley is a knight, and Harper is a knave.", "solution_text_format": "(1) Avery is a knight\n(2) Joseph is a knight\n(3) Riley is a knight\n(4) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Riley is a knight if and only if Harper is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Avery is a knight or Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Avery that Riley is a knight if and only if Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that If Riley is a knight then Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Joseph is a knight or Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 3)), ('or', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 3)), ('->', ('telling-truth', 2), ('lying', 1)))", "index": 734}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Daniel, Olivia, and Liam. In Matthew's words: \"Liam is a knave or Daniel is a knight\". \"Olivia is a knight or Matthew is a knave\" - Daniel. Olivia stated, \"Matthew is a knave\". Liam remarked, \"If Matthew is a knight then Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Daniel", "Olivia", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Matthew is a knight, Daniel is a knave, Olivia is a knave, and Liam is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Daniel is a knave\n(3) Olivia is a knave\n(4) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Liam is a knave or Daniel is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that If Matthew is a knight then Matthew is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that If Matthew is a knight then Matthew is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Olivia is a knight or Matthew is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Matthew is a knave.", "Olivia cannot be a knave, because this would contradict the claim of Daniel that Olivia is a knight or Matthew is a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Olivia is a knight or Matthew is a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Daniel that Olivia is a knight or Matthew is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 0)), ('lying', 0), ('->', ('telling-truth', 0), ('lying', 0)))", "index": 735}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Evelyn, Logan, and Mia. \"Logan is not a knave\" - Benjamin. Evelyn asserted: \"Logan is a knave or Logan is a knight\". Logan asserted: \"Evelyn is a knight and Evelyn is a knave\". According to Mia, \"If Evelyn is a knight then Benjamin is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Evelyn", "Logan", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Benjamin is a knave, Evelyn is a knight, Logan is a knave, and Mia is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Evelyn is a knight\n(3) Logan is a knave\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Logan is not a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight and Evelyn is a knave.", "Logan cannot be a knave, because this would contradict the claim of Benjamin that Logan is not a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Logan is not a knave.", "Logan cannot be a knight, because this would contradict the false claim of Benjamin that Logan is not a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Evelyn is a knight and Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Logan is a knave or Logan is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that If Evelyn is a knight then Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 736}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Mia, Aurora, and Logan. \"Logan is not a knight\" - Luke. Mia commented, \"Logan is not a knight\". In a statement by Aurora: \"If Logan is a knave then Mia is a knave\". Logan stated, \"Aurora is a knave if and only if Mia is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Mia", "Aurora", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Luke is a knight, Mia is a knight, Aurora is a knave, and Logan is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) Mia is a knight\n(3) Aurora is a knave\n(4) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of Luke that Logan is not a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Mia is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that If Logan is a knave then Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Aurora that If Logan is a knave then Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that Logan is not a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that If Logan is a knave then Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Logan is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('->', ('lying', 3), ('lying', 1)), ('<=>', ('lying', 2), ('lying', 1)))", "index": 737}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Owen, Charlotte, and Lily. Aria said that Owen is a knave and Charlotte is a knight. Owen commented, \"Owen is a knight or Aria is a knight\". \"Aria is a knave if and only if Lily is a knave,\" Charlotte declared. \"Owen is a knight and Aria is a knave\" - Lily. So who is a knight and who is a knave?", "names": ["Aria", "Owen", "Charlotte", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Aria is a knave, Owen is a knight, Charlotte is a knave, and Lily is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Owen is a knight\n(3) Charlotte is a knave\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Owen is a knave and Charlotte is a knight.", "Owen cannot be a knight, because this would contradict the claim of Aria that Owen is a knave and Charlotte is a knight.", "Owen cannot be a knave, because this would contradict the false claim of their own that Owen is a knight or Aria is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Owen is a knave and Charlotte is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Owen is a knight or Aria is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Aria is a knave if and only if Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Charlotte that Aria is a knave if and only if Lily is a knave.", "Lily cannot be a knave, because this would contradict the false claim of their own that Owen is a knight and Aria is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Owen is a knight and Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 738}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Jacob, Michael, and Mia. \"Mia is a knight if and only if Mia is a knave,\" Sofia declared. Jacob expressed that Mia is a knave. Michael told you that If Sofia is a knight then Jacob is a knave. \"Jacob is a knave or Sofia is a knave,\" Mia declared. So who is a knight and who is a knave?", "names": ["Sofia", "Jacob", "Michael", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Sofia is a knave, Jacob is a knave, Michael is a knight, and Mia is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Jacob is a knave\n(3) Michael is a knight\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Sofia cannot be a knight, because this would contradict the claim of their own that Mia is a knight if and only if Mia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Jacob is a knave or Sofia is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Mia is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Mia is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Sofia is a knight then Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 3)), ('lying', 3), ('->', ('telling-truth', 0), ('lying', 1)), ('or', ('lying', 1), ('lying', 0)))", "index": 739}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Lily, Jack, and David. Aiden was heard saying, \"Jack is not a knave\". Lily said that If David is a knave then Lily is a knight. Jack said that Lily is a knight or David is a knight. In David's words: \"Lily is not a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Lily", "Jack", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Aiden is a knight, Lily is a knight, Jack is a knight, and David is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Lily is a knight\n(3) Jack is a knight\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Jack is not a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Lily is a knight or David is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If David is a knave then Lily is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Lily is not a knight.", "Assume David is a knave. No contradiction is found in their false claim that Lily is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('telling-truth', 1)))", "index": 740}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Aiden, Emma, and Sebastian. Jack said, \"Aiden is not a knight.\" Aiden expressed that Sebastian is a knight if and only if Sebastian is a knave. In Emma's words: \"Jack is not a knave\". \"If Emma is a knave then Jack is a knight,\" Sebastian mentioned. So who is a knight and who is a knave?", "names": ["Jack", "Aiden", "Emma", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Jack is a knight, Aiden is a knave, Emma is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Aiden is a knave\n(3) Emma is a knight\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Aiden cannot be a knight, because this would contradict the claim of Jack that Aiden is not a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Emma is a knave then Jack is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Jack is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('not', ('lying', 0)), ('->', ('lying', 2), ('telling-truth', 0)))", "index": 741}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Luke, Samuel, and Elizabeth. Aiden expressed that Elizabeth is a knave or Aiden is a knight. Luke expressed that Luke is a knight or Aiden is a knight. \"If Luke is a knave then Luke is a knight,\" Samuel mentioned. Elizabeth told you that Samuel is a knight if and only if Luke is a knave. So who is a knight and who is a knave?", "names": ["Aiden", "Luke", "Samuel", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Aiden is a knight, Luke is a knight, Samuel is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Luke is a knight\n(3) Samuel is a knight\n(4) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Elizabeth is a knave or Aiden is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Luke is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Luke is a knave then Luke is a knight.", "Luke cannot be a knight, because this would contradict the claim of Elizabeth that Samuel is a knight if and only if Luke is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that Luke is a knight or Aiden is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Luke is a knave then Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Samuel that If Luke is a knave then Luke is a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that Luke is a knight or Aiden is a knight.", "We have exhausted all possibilities for Luke and Samuel, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Luke is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Luke is a knave then Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Luke is a knight or Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "index": 742}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Mason, Emma, and Ethan. According to Aiden, \"If Aiden is a knight then Ethan is a knight\". Mason said that Mason is a knight. Emma commented, \"If Emma is a knight then Ethan is a knight\". According to Ethan, \"Mason is a knave and Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Mason", "Emma", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Aiden is a knight, Mason is a knave, Emma is a knight, and Ethan is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Mason is a knave\n(3) Emma is a knight\n(4) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Mason is a knave and Aiden is a knight.", "Mason cannot be a knight, because this would contradict the claim of Ethan that Mason is a knave and Aiden is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Mason is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Emma is a knight then Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 3)), ('telling-truth', 1), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('lying', 1), ('telling-truth', 0)))", "index": 743}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Luke, Victoria, and Noah. Penelope noted, \"If Penelope is a knight then Luke is a knight\". \"If Victoria is a knight then Luke is a knight\" - Luke. \"Penelope is a knave,\" Victoria mentioned. Noah remarked, \"Luke is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Luke", "Victoria", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Penelope is a knight, Luke is a knight, Victoria is a knave, and Noah is a knight.", "solution_text_format": "(1) Penelope is a knight\n(2) Luke is a knight\n(3) Victoria is a knave\n(4) Noah is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that If Penelope is a knight then Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Victoria is a knight then Luke is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Penelope is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Penelope is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('lying', 0), ('telling-truth', 1))", "index": 744}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jackson, Victoria, Emma, and Luke. Jackson told you that Victoria is a knave. According to Victoria, \"Victoria is a knight and Jackson is a knight\". \"Luke is a knave or Victoria is a knight,\" Emma mentioned. Luke asserted: \"Jackson is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Victoria", "Emma", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Jackson is a knight, Victoria is a knave, Emma is a knave, and Luke is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Victoria is a knave\n(3) Emma is a knave\n(4) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Jackson that Victoria is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight and Jackson is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Luke is a knave or Victoria is a knight.", "Luke cannot be a knight, because this would contradict the claim of Emma that Luke is a knave or Victoria is a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Luke is a knave or Victoria is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('lying', 3), ('telling-truth', 1)), ('telling-truth', 0))", "index": 745}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Benjamin, Joseph, and Harper. Ethan said, \"Joseph is a knight.\" As Benjamin put it, \"If Harper is a knave then Joseph is a knave\". Joseph said, \"Joseph is a knight if and only if Ethan is a knight.\" Harper noted, \"Joseph is a knight if and only if Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Benjamin", "Joseph", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Ethan is a knight, Benjamin is a knight, Joseph is a knight, and Harper is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Benjamin is a knight\n(3) Joseph is a knight\n(4) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Ethan is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Harper is a knave then Joseph is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('lying', 3), ('lying', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "index": 746}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Noah, Sophia, and Henry. \"If Sophia is a knight then Henry is a knight,\" Daniel claimed. According to Noah, \"Sophia is a knight if and only if Sophia is a knave\". Sophia told you that Daniel is a knave or Noah is a knave. Henry commented, \"Noah is a knave or Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Noah", "Sophia", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Daniel is a knight, Noah is a knave, Sophia is a knight, and Henry is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Noah is a knave\n(3) Sophia is a knight\n(4) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that If Sophia is a knight then Henry is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Daniel is a knave or Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Sophia is a knight if and only if Sophia is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Sophia is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Noah is a knave or Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 0), ('lying', 1)), ('or', ('lying', 1), ('telling-truth', 0)))", "index": 747}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Liam, Chloe, and Emily. \"Liam is a knight and Emily is a knight,\" Samuel mentioned. Liam told you that Chloe is a knight and Samuel is a knight. Chloe told you that Liam is a knave if and only if Samuel is a knave. Emily noted, \"Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Liam", "Chloe", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Samuel is a knave, Liam is a knave, Chloe is a knight, and Emily is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Liam is a knave\n(3) Chloe is a knight\n(4) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Liam is a knight and Emily is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Chloe is a knight and Samuel is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Liam is a knave if and only if Samuel is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Chloe is a knave.", "Emily cannot be a knave, because this would contradict the claim of Samuel that Liam is a knight and Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the claim of Liam that Chloe is a knight and Samuel is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Liam.", "Liam cannot be a knave, because this would contradict the claim of Samuel that Liam is a knight and Emily is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Liam is a knight and Emily is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and Samuel is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Chloe is a knight and Samuel is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Liam is a knave if and only if Samuel is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Chloe is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('lying', 1), ('lying', 0)), ('lying', 2))", "index": 748}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, Penelope, Harper, and Mia. Sebastian stated, \"Penelope is a knave and Mia is a knight\". As Penelope put it, \"Harper is a knave if and only if Penelope is a knight\". In a statement by Harper: \"If Mia is a knight then Sebastian is a knight\". In Mia's words: \"Mia is a knight if and only if Harper is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Penelope", "Harper", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Sebastian is a knave, Penelope is a knight, Harper is a knave, and Mia is a knight.", "solution_text_format": "(1) Sebastian is a knave\n(2) Penelope is a knight\n(3) Harper is a knave\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Penelope is a knave and Mia is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Sebastian that Penelope is a knave and Mia is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Harper is a knave if and only if Penelope is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Penelope that Harper is a knave if and only if Penelope is a knight.", "Harper cannot be a knave, because this would contradict the false claim of their own that If Mia is a knight then Sebastian is a knight.", "We have exhausted all possibilities for Harper and Penelope, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Penelope is a knave and Mia is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Harper is a knave if and only if Penelope is a knight.", "Harper cannot be a knight, because this would contradict the claim of Penelope that Harper is a knave if and only if Penelope is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that If Mia is a knight then Sebastian is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight if and only if Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 3)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 3), ('lying', 2)))", "index": 749}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, William, Victoria, and James. Emma told you that Victoria is a knave if and only if Victoria is a knight. William remarked, \"Victoria is not a knight\". Victoria expressed that Emma is a knight and James is a knave. In a statement by James: \"William is not a knave\". So who is a knight and who is a knave?", "names": ["Emma", "William", "Victoria", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Emma is a knave, William is a knight, Victoria is a knave, and James is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) William is a knight\n(3) Victoria is a knave\n(4) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Emma cannot be a knight, because this would contradict the claim of their own that Victoria is a knave if and only if Victoria is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Emma is a knight and James is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Emma is a knight and James is a knave.", "Assume James is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that Victoria is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 3)), ('not', ('lying', 1)))", "index": 750}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Sophia, Elizabeth, and Mia. Evelyn said that Elizabeth is a knight if and only if Sophia is a knave. Sophia was heard saying, \"Elizabeth is a knight if and only if Sophia is a knight\". Elizabeth remarked, \"Sophia is not a knave\". Mia said that Evelyn is not a knight. So who is a knight and who is a knave?", "names": ["Evelyn", "Sophia", "Elizabeth", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Evelyn is a knave, Sophia is a knight, Elizabeth is a knight, and Mia is a knight.", "solution_text_format": "(1) Evelyn is a knave\n(2) Sophia is a knight\n(3) Elizabeth is a knight\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Sophia is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Sophia cannot be a knight, because this would contradict the claim of Evelyn that Elizabeth is a knight if and only if Sophia is a knave.", "Sophia cannot be a knave, because this would contradict the claim of Elizabeth that Sophia is not a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Sophia is not a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight if and only if Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the claim of Evelyn that Elizabeth is a knight if and only if Sophia is a knave.", "We have exhausted all possibilities for Sophia and Elizabeth, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Sophia is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Sophia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Evelyn is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('lying', 1)), ('not', ('telling-truth', 0)))", "index": 751}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Avery, Riley, and Isabella. As Amelia put it, \"Isabella is a knave and Riley is a knight\". As Avery put it, \"Isabella is a knight and Isabella is a knave\". Riley commented, \"Amelia is a knight or Isabella is a knight\". \"Avery is a knave or Avery is a knight\" - Isabella. So who is a knight and who is a knave?", "names": ["Amelia", "Avery", "Riley", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Amelia is a knave, Avery is a knave, Riley is a knight, and Isabella is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Avery is a knave\n(3) Riley is a knight\n(4) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Isabella is a knave and Riley is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Amelia that Isabella is a knave and Riley is a knight.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Avery is a knave or Avery is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Isabella is a knave and Riley is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Avery is a knave or Avery is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and Isabella is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Isabella is a knight and Isabella is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Amelia is a knight or Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('lying', 3)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('lying', 1), ('telling-truth', 1)))", "index": 752}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Benjamin, Harper, and Scarlett. Chloe expressed that Harper is a knight and Harper is a knave. Benjamin remarked, \"Chloe is a knave\". Harper noted, \"Chloe is a knight if and only if Scarlett is a knight\". Scarlett asserted: \"Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Benjamin", "Harper", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Chloe is a knave, Benjamin is a knight, Harper is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Benjamin is a knight\n(3) Harper is a knave\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Chloe cannot be a knight, because this would contradict the claim of their own that Harper is a knight and Harper is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Harper is a knight and Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Harper that Chloe is a knight if and only if Scarlett is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Chloe is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Chloe is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 2)), ('lying', 0), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('lying', 0))", "index": 753}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Grace, Amelia, and Michael. In Jack's words: \"Amelia is a knave or Jack is a knight\". Grace said that Jack is not a knight. Amelia commented, \"Grace is not a knight\". Michael asserted: \"Jack is a knave if and only if Jack is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Grace", "Amelia", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Jack is a knight, Grace is a knave, Amelia is a knight, and Michael is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Grace is a knave\n(3) Amelia is a knight\n(4) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Amelia is a knave or Jack is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Jack is not a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Jack is not a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Jack is a knave if and only if Jack is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 754}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Sophia, Aiden, and Ava. Aria asserted: \"If Ava is a knave then Sophia is a knave\". Sophia said, \"Aria is a knave and Ava is a knight.\" Aiden said that Sophia is a knight and Aria is a knight. \"Aiden is a knight\" - Ava. So who is a knight and who is a knave?", "names": ["Aria", "Sophia", "Aiden", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Aria is a knight, Sophia is a knave, Aiden is a knave, and Ava is a knave.", "solution_text_format": "(1) Aria is a knight\n(2) Sophia is a knave\n(3) Aiden is a knave\n(4) Ava is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that If Ava is a knave then Sophia is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Sophia is a knight and Aria is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Aria is a knave and Ava is a knight.", "Sophia cannot be a knave, because this would contradict the claim of Aiden that Sophia is a knight and Aria is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Ava that Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Ava that Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Sophia is a knight and Aria is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Aria that If Ava is a knave then Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Aria is a knave and Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('telling-truth', 2))", "index": 755}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, Victoria, Sofia, and Sebastian. \"If Sofia is a knight then Victoria is a knave\" - Avery. Victoria stated, \"Sebastian is not a knight\". \"Sebastian is a knave\" - Sofia. According to Sebastian, \"Avery is a knight if and only if Avery is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Victoria", "Sofia", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Avery is a knave, Victoria is a knight, Sofia is a knight, and Sebastian is a knave.", "solution_text_format": "(1) Avery is a knave\n(2) Victoria is a knight\n(3) Sofia is a knight\n(4) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that If Sofia is a knight then Victoria is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Sofia that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Avery is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Avery that If Sofia is a knight then Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Sebastian is not a knight.", "We have exhausted all possibilities for Victoria and Sebastian, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Avery is a knight if and only if Avery is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of Sofia that Sebastian is a knave.", "We have exhausted all possibilities for Sebastian and Sofia, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that If Sofia is a knight then Victoria is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Sofia that Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Avery is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Sebastian is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('not', ('telling-truth', 3)), ('lying', 3), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 756}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Samuel, Daniel, and Zoey. Scarlett asserted: \"Samuel is a knave or Zoey is a knave\". Samuel noted, \"Scarlett is a knave or Zoey is a knight\". Daniel noted, \"If Daniel is a knight then Zoey is a knave\". \"Scarlett is a knave if and only if Scarlett is a knight,\" Zoey claimed. So who is a knight and who is a knave?", "names": ["Scarlett", "Samuel", "Daniel", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Scarlett is a knight, Samuel is a knave, Daniel is a knight, and Zoey is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Samuel is a knave\n(3) Daniel is a knight\n(4) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Samuel is a knave or Zoey is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Scarlett is a knave or Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of Scarlett that Samuel is a knave or Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Samuel that Scarlett is a knave or Zoey is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Scarlett is a knave or Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Samuel that Scarlett is a knave or Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Scarlett is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Daniel is a knight then Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 757}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Mason, Noah, and Sofia. William expressed that Mason is a knight and Noah is a knight. Mason stated, \"Sofia is not a knave\". According to Noah, \"If Mason is a knight then Sofia is a knight\". \"If Noah is a knight then Noah is a knave,\" Sofia claimed. So who is a knight and who is a knave?", "names": ["William", "Mason", "Noah", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "William is a knave, Mason is a knave, Noah is a knight, and Sofia is a knave.", "solution_text_format": "(1) William is a knave\n(2) Mason is a knave\n(3) Noah is a knight\n(4) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Mason is a knight and Noah is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Sofia is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Noah is a knight then Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Sofia that If Noah is a knight then Noah is a knave.", "Noah cannot be a knave, because this would contradict the claim of William that Mason is a knight and Noah is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Mason that Sofia is not a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the claim of William that Mason is a knight and Noah is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Mason is a knight and Noah is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Sofia is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that If Noah is a knight then Noah is a knave.", "Noah cannot be a knight, because this would contradict the false claim of William that Mason is a knight and Noah is a knight.", "Noah cannot be a knave, because this would contradict the false claim of their own that If Mason is a knight then Sofia is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Mason that Sofia is not a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Sofia is not a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Mason that Sofia is not a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that If Noah is a knight then Noah is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Mason is a knight then Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('lying', 3)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 2)))", "index": 758}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Ava, Lucas, and Sebastian. In William's words: \"Ava is a knight and Lucas is a knave\". In a statement by Ava: \"William is a knight and William is a knave\". As Lucas put it, \"If Ava is a knave then William is a knave\". In a statement by Sebastian: \"Lucas is a knave if and only if William is a knight\". So who is a knight and who is a knave?", "names": ["William", "Ava", "Lucas", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "William is a knave, Ava is a knave, Lucas is a knight, and Sebastian is a knight.", "solution_text_format": "(1) William is a knave\n(2) Ava is a knave\n(3) Lucas is a knight\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Ava is a knight and Lucas is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that William is a knight and William is a knave.", "Ava cannot be a knave, because this would contradict the claim of William that Ava is a knight and Lucas is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Ava is a knight and Lucas is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that William is a knight and William is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that William is a knight and William is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Ava is a knave then William is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Lucas is a knave if and only if William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 0)), ('->', ('lying', 1), ('lying', 0)), ('<=>', ('lying', 2), ('telling-truth', 0)))", "index": 759}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Aria, Emma, and Scarlett. Ella noted, \"Ella is a knight or Emma is a knight\". Aria noted, \"Ella is a knave\". According to Emma, \"Ella is not a knight\". \"Aria is not a knave\" - Scarlett. So who is a knight and who is a knave?", "names": ["Ella", "Aria", "Emma", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Ella is a knight, Aria is a knave, Emma is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Aria is a knave\n(3) Emma is a knave\n(4) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Ella is a knight or Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Ella is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Ella is not a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Ella is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Ella is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Aria is not a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Aria is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 2)), ('lying', 0), ('not', ('telling-truth', 0)), ('not', ('lying', 1)))", "index": 760}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Sofia, Logan, and Mason. Mia commented, \"Logan is a knight if and only if Sofia is a knight\". In Sofia's words: \"Mia is a knave\". As Logan put it, \"Mason is a knave if and only if Logan is a knight\". \"Logan is a knave and Sofia is a knight,\" Mason declared. So who is a knight and who is a knave?", "names": ["Mia", "Sofia", "Logan", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Mia is a knight, Sofia is a knave, Logan is a knave, and Mason is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Sofia is a knave\n(3) Logan is a knave\n(4) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Logan is a knight if and only if Sofia is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Mason is a knave if and only if Logan is a knight.", "Mason cannot be a knight, because this would contradict the claim of Logan that Mason is a knave if and only if Logan is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Logan is a knave and Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Mia is a knave.", "Sofia cannot be a knave, because this would contradict the claim of Mia that Logan is a knight if and only if Sofia is a knight.", "We have exhausted all possibilities for Sofia and Mason, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Logan is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Logan that Mason is a knave if and only if Logan is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Logan is a knave and Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Mia that Logan is a knight if and only if Sofia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('lying', 0), ('<=>', ('lying', 3), ('telling-truth', 2)), ('and', ('lying', 2), ('telling-truth', 1)))", "index": 761}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Oliver, James, and Aiden. Matthew commented, \"Aiden is a knight\". According to Oliver, \"James is not a knight\". James told you that If Aiden is a knight then Matthew is a knave. Aiden expressed that Matthew is a knight and Oliver is a knave. So who is a knight and who is a knave?", "names": ["Matthew", "Oliver", "James", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Matthew is a knave, Oliver is a knave, James is a knight, and Aiden is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Oliver is a knave\n(3) James is a knight\n(4) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Matthew is a knight and Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Aiden that Matthew is a knight and Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of their own that If Aiden is a knight then Matthew is a knave.", "James cannot be a knave, because this would contradict the false claim of Oliver that James is not a knight.", "We have exhausted all possibilities for James and Oliver, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Matthew that Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Matthew that Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Matthew is a knight and Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of Oliver that James is not a knight.", "James cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knight then Matthew is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that James is not a knight.", "Assume James is a knight. No contradiction is found in their claim that If Aiden is a knight then Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 3), ('lying', 0)), ('and', ('telling-truth', 0), ('lying', 1)))", "index": 762}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Michael, Owen, and Jack. Alexander said that Owen is a knave. In Michael's words: \"Owen is a knave and Michael is a knight\". According to Owen, \"Michael is a knave or Jack is a knight\". In Jack's words: \"Michael is a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Michael", "Owen", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Alexander is a knave, Michael is a knave, Owen is a knight, and Jack is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) Michael is a knave\n(3) Owen is a knight\n(4) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of Alexander that Owen is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Michael is a knave or Jack is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Owen is a knave and Michael is a knight.", "Jack cannot be a knight, because this would contradict the false claim of Owen that Michael is a knave or Jack is a knight.", "Jack cannot be a knave, because this would contradict the false claim of their own that Michael is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the false claim of Owen that Michael is a knave or Jack is a knight.", "We have exhausted all possibilities for Michael and Owen, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Michael is a knave or Jack is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Michael is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Owen is a knave and Michael is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Michael is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('and', ('lying', 2), ('telling-truth', 1)), ('or', ('lying', 1), ('telling-truth', 3)), ('telling-truth', 1))", "index": 763}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Jacob, Amelia, and Sofia. Mason asserted: \"Amelia is a knave or Amelia is a knight\". Jacob stated, \"Sofia is a knight and Amelia is a knight\". Amelia told you that Jacob is a knave and Jacob is a knight. Sofia told you that Jacob is a knave if and only if Amelia is a knight. So who is a knight and who is a knave?", "names": ["Mason", "Jacob", "Amelia", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Mason is a knight, Jacob is a knave, Amelia is a knave, and Sofia is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) Jacob is a knave\n(3) Amelia is a knave\n(4) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Amelia is a knave or Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Jacob is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jacob is a knave and Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Sofia is a knight and Amelia is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Sofia is a knight and Amelia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Jacob is a knave if and only if Amelia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Jacob is a knave if and only if Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 2)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 2)))", "index": 764}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Avery, Zoey, and Ella. As Daniel put it, \"Zoey is a knight or Avery is a knight\". Avery commented, \"Zoey is a knave and Avery is a knight\". Zoey expressed that Daniel is a knight if and only if Daniel is a knave. Ella noted, \"If Ella is a knight then Avery is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Avery", "Zoey", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Daniel is a knight, Avery is a knight, Zoey is a knave, and Ella is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Avery is a knight\n(3) Zoey is a knave\n(4) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Zoey is a knight or Avery is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Daniel is a knight if and only if Daniel is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Daniel is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Zoey is a knave and Avery is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Ella is a knight then Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('lying', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 765}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, Mia, Jack, and James. Avery expressed that James is a knight if and only if Jack is a knave. Mia was heard saying, \"James is a knight if and only if Mia is a knight\". As Jack put it, \"If Mia is a knight then James is a knight\". James expressed that Mia is a knave if and only if Jack is a knight. So who is a knight and who is a knave?", "names": ["Avery", "Mia", "Jack", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Avery is a knave, Mia is a knave, Jack is a knight, and James is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Mia is a knave\n(3) Jack is a knight\n(4) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that James is a knight if and only if Jack is a knave.", "Assume James is a knight. No contradiction is found in their claim that Mia is a knave if and only if Jack is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that James is a knight if and only if Mia is a knight.", "Jack cannot be a knight, because this would contradict the claim of Avery that James is a knight if and only if Jack is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that If Mia is a knight then James is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that James is a knight if and only if Mia is a knight.", "Jack cannot be a knight, because this would contradict the claim of Avery that James is a knight if and only if Jack is a knave.", "Jack cannot be a knave, because this would contradict the false claim of their own that If Mia is a knight then James is a knight.", "We have exhausted all possibilities for Jack and Mia, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Jack is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that James is a knight if and only if Mia is a knight.", "Mia cannot be a knave, because this would contradict the false claim of their own that James is a knight if and only if Mia is a knight.", "We have exhausted all possibilities for Mia and James, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that James is a knight if and only if Jack is a knave.", "Assume James is a knight. No contradiction is found in their claim that Mia is a knave if and only if Jack is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that James is a knight if and only if Mia is a knight.", "Jack cannot be a knight, because this would contradict the claim of James that Mia is a knave if and only if Jack is a knight.", "Jack cannot be a knave, because this would contradict the false claim of Avery that James is a knight if and only if Jack is a knave.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that James is a knight if and only if Mia is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Mia is a knight then James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('lying', 1), ('telling-truth', 2)))", "index": 766}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Emma, Mia, and Abigail. \"Abigail is a knight if and only if Mia is a knave,\" James claimed. In Emma's words: \"Mia is a knave\". \"James is a knight or James is a knave,\" Mia declared. Abigail said that If James is a knight then Mia is a knight. So who is a knight and who is a knave?", "names": ["James", "Emma", "Mia", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "James is a knave, Emma is a knave, Mia is a knight, and Abigail is a knight.", "solution_text_format": "(1) James is a knave\n(2) Emma is a knave\n(3) Mia is a knight\n(4) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Abigail is a knight if and only if Mia is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If James is a knight then Mia is a knight.", "Mia cannot be a knight, because this would contradict the claim of James that Abigail is a knight if and only if Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that James is a knight or James is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that If James is a knight then Mia is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Abigail that If James is a knight then Mia is a knight.", "Mia cannot be a knave, because this would contradict the claim of James that Abigail is a knight if and only if Mia is a knave.", "We have exhausted all possibilities for Mia and Abigail, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Mia is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If James is a knight then Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that James is a knight or James is a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Mia is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('lying', 2), ('or', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "index": 767}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Riley, Joseph, and Zoey. Mason said, \"Riley is a knight and Joseph is a knight.\" \"If Joseph is a knight then Joseph is a knave\" - Riley. Joseph asserted: \"Mason is not a knave\". Zoey told you that Joseph is not a knight. So who is a knight and who is a knave?", "names": ["Mason", "Riley", "Joseph", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Mason is a knave, Riley is a knight, Joseph is a knave, and Zoey is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Riley is a knight\n(3) Joseph is a knave\n(4) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Riley is a knight and Joseph is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Joseph is a knight then Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Riley that If Joseph is a knight then Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the claim of Mason that Riley is a knight and Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of Mason that Riley is a knight and Joseph is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Riley is a knight and Joseph is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Joseph is a knight then Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Mason that Riley is a knight and Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Mason is not a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Joseph is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 2)), ('not', ('lying', 0)), ('not', ('telling-truth', 2)))", "index": 768}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Lily, Amelia, and David. \"If Amelia is a knave then Amelia is a knight,\" Victoria claimed. According to Lily, \"Amelia is not a knight\". \"Lily is a knave and Victoria is a knave,\" Amelia claimed. In a statement by David: \"Victoria is a knave and Lily is a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "Lily", "Amelia", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Victoria is a knave, Lily is a knight, Amelia is a knave, and David is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Lily is a knight\n(3) Amelia is a knave\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that If Amelia is a knave then Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Victoria is a knave.", "Amelia cannot be a knave, because this would contradict the claim of Victoria that If Amelia is a knave then Amelia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Amelia is a knave then Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Victoria that If Amelia is a knave then Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Lily is a knave and Victoria is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Amelia is not a knight.", "David cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Lily is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Victoria is a knave and Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('and', ('lying', 1), ('lying', 0)), ('and', ('lying', 0), ('lying', 1)))", "index": 769}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Sebastian, Elizabeth, and Amelia. As Grace put it, \"Elizabeth is a knight or Amelia is a knave\". Sebastian asserted: \"Grace is a knave and Elizabeth is a knave\". Elizabeth expressed that If Amelia is a knave then Elizabeth is a knight. Amelia said that Sebastian is not a knight. So who is a knight and who is a knave?", "names": ["Grace", "Sebastian", "Elizabeth", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Grace is a knight, Sebastian is a knave, Elizabeth is a knight, and Amelia is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Sebastian is a knave\n(3) Elizabeth is a knight\n(4) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Elizabeth is a knight or Amelia is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Amelia is a knave then Elizabeth is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Grace is a knave and Elizabeth is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Grace is a knave and Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 3)), ('and', ('lying', 0), ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 2)), ('not', ('telling-truth', 1)))", "index": 770}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Aiden, Logan, and Elizabeth. Amelia noted, \"Elizabeth is a knave or Logan is a knight\". According to Aiden, \"Logan is a knave\". Logan said that Amelia is a knight if and only if Elizabeth is a knave. Elizabeth said that Aiden is a knight. So who is a knight and who is a knave?", "names": ["Amelia", "Aiden", "Logan", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Amelia is a knight, Aiden is a knave, Logan is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) Aiden is a knave\n(3) Logan is a knight\n(4) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Elizabeth is a knave or Logan is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Aiden that Logan is a knave.", "Logan cannot be a knave, because this would contradict the claim of Amelia that Elizabeth is a knave or Logan is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the claim of Elizabeth that Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Elizabeth that Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 2)), ('lying', 2), ('<=>', ('telling-truth', 0), ('lying', 3)), ('telling-truth', 1))", "index": 771}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Sebastian, Avery, and Mason. Aria remarked, \"Aria is a knight and Sebastian is a knight\". Sebastian noted, \"Avery is a knave and Mason is a knave\". In Avery's words: \"Aria is a knight if and only if Mason is a knave\". Mason asserted: \"Avery is a knight and Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Sebastian", "Avery", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Aria is a knave, Sebastian is a knight, Avery is a knave, and Mason is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Sebastian is a knight\n(3) Avery is a knave\n(4) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Aria is a knight and Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Avery is a knave and Mason is a knave.", "Avery cannot be a knight, because this would contradict the claim of Sebastian that Avery is a knave and Mason is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Sebastian that Avery is a knave and Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of Avery that Aria is a knight if and only if Mason is a knave.", "We have exhausted all possibilities for Mason and Avery, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the claim of Aria that Aria is a knight and Sebastian is a knight.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Aria is a knight and Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Avery is a knave and Mason is a knave.", "Avery cannot be a knight, because this would contradict the claim of Sebastian that Avery is a knave and Mason is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Sebastian that Avery is a knave and Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Avery is a knight and Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 2), ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('and', ('telling-truth', 2), ('telling-truth', 1)))", "index": 772}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Elizabeth, Evelyn, and Owen. As Emma put it, \"Owen is a knave and Owen is a knight\". In Elizabeth's words: \"Emma is not a knight\". In Evelyn's words: \"If Emma is a knight then Emma is a knave\". In Owen's words: \"Evelyn is a knave and Elizabeth is a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Elizabeth", "Evelyn", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Emma is a knave, Elizabeth is a knight, Evelyn is a knight, and Owen is a knave.", "solution_text_format": "(1) Emma is a knave\n(2) Elizabeth is a knight\n(3) Evelyn is a knight\n(4) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Emma cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Owen is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Owen is a knave and Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Evelyn is a knave and Elizabeth is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Owen that Evelyn is a knave and Elizabeth is a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that If Emma is a knight then Emma is a knave.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Evelyn is a knave and Elizabeth is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Emma is a knight then Emma is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Emma is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 3)), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 0), ('lying', 0)), ('and', ('lying', 2), ('lying', 1)))", "index": 773}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Scarlett, Owen, and Joseph. Grace said that Owen is not a knave. Scarlett told you that Grace is not a knight. According to Owen, \"If Scarlett is a knave then Grace is a knight\". In Joseph's words: \"If Scarlett is a knight then Grace is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Scarlett", "Owen", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Grace is a knight, Scarlett is a knave, Owen is a knight, and Joseph is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Scarlett is a knave\n(3) Owen is a knight\n(4) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Owen is a knight. No contradiction is found in their claim that If Scarlett is a knave then Grace is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Grace is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that If Scarlett is a knight then Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('not', ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 774}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Joseph, Alexander, and Ella. \"Ella is a knight and Joseph is a knight,\" Mia declared. Joseph said that Alexander is not a knave. Alexander remarked, \"Mia is a knight\". Ella said, \"Ella is a knight if and only if Joseph is a knight.\" So who is a knight and who is a knave?", "names": ["Mia", "Joseph", "Alexander", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Mia is a knight, Joseph is a knight, Alexander is a knight, and Ella is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Joseph is a knight\n(3) Alexander is a knight\n(4) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Ella is a knight and Joseph is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Ella is a knight if and only if Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('lying', 2)), ('telling-truth', 0), ('<=>', ('telling-truth', 3), ('telling-truth', 1)))", "index": 775}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, James, Chloe, and Jackson. According to Owen, \"Jackson is a knight or Jackson is a knave\". James was heard saying, \"James is a knight and Chloe is a knave\". In a statement by Chloe: \"If Jackson is a knight then Owen is a knight\". Jackson remarked, \"Owen is a knave if and only if Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "James", "Chloe", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Owen is a knight, James is a knave, Chloe is a knight, and Jackson is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) James is a knave\n(3) Chloe is a knight\n(4) Jackson is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Jackson is a knight or Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Owen is a knave if and only if Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Jackson that Owen is a knave if and only if Chloe is a knight.", "Chloe cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knight then Owen is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Jackson is a knight then Owen is a knight.", "James cannot be a knight, because this would contradict the claim of their own that James is a knight and Chloe is a knave.", "Assume James is a knave. No contradiction is found in their false claim that James is a knight and Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 2)))", "index": 776}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Chloe, Sebastian, and Charlotte. According to Jack, \"If Sebastian is a knight then Sebastian is a knave\". Chloe remarked, \"Jack is not a knight\". As Sebastian put it, \"Jack is a knave if and only if Charlotte is a knave\". Charlotte asserted: \"Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Chloe", "Sebastian", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Jack is a knave, Chloe is a knight, Sebastian is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Chloe is a knight\n(3) Sebastian is a knight\n(4) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that If Sebastian is a knight then Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Jack that If Sebastian is a knight then Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jack is a knave if and only if Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Sebastian that Jack is a knave if and only if Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Jack is not a knight.", "Chloe cannot be a knave, because this would contradict the false claim of Charlotte that Chloe is a knave.", "We have exhausted all possibilities for Chloe, Charlotte, and Sebastian, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that If Sebastian is a knight then Sebastian is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jack is a knave if and only if Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Sebastian that Jack is a knave if and only if Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Jack is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('not', ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 3)), ('lying', 1))", "index": 777}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Noah, James, and Matthew. In Emily's words: \"If Emily is a knight then Noah is a knave\". Noah was heard saying, \"James is a knave if and only if James is a knight\". In a statement by James: \"James is a knight or Noah is a knave\". \"Matthew is a knight and Noah is a knight,\" Matthew mentioned. So who is a knight and who is a knave?", "names": ["Emily", "Noah", "James", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Emily is a knight, Noah is a knave, James is a knight, and Matthew is a knave.", "solution_text_format": "(1) Emily is a knight\n(2) Noah is a knave\n(3) James is a knight\n(4) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that If Emily is a knight then Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of Emily that If Emily is a knight then Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that James is a knave if and only if James is a knight.", "Assume James is a knight. No contradiction is found in their claim that James is a knight or Noah is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Noah is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Matthew is a knight and Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('lying', 1)), ('and', ('telling-truth', 3), ('telling-truth', 1)))", "index": 778}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, Benjamin, Emily, and Penelope. Sebastian noted, \"Benjamin is a knave if and only if Emily is a knight\". According to Benjamin, \"Sebastian is a knave or Emily is a knave\". In a statement by Emily: \"Penelope is a knave\". \"Sebastian is a knave and Benjamin is a knight,\" Penelope claimed. So who is a knight and who is a knave?", "names": ["Sebastian", "Benjamin", "Emily", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Sebastian is a knight, Benjamin is a knave, Emily is a knight, and Penelope is a knave.", "solution_text_format": "(1) Sebastian is a knight\n(2) Benjamin is a knave\n(3) Emily is a knight\n(4) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Emily is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Sebastian is a knave or Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Sebastian that Benjamin is a knave if and only if Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Benjamin is a knight.", "Penelope cannot be a knave, because this would contradict the false claim of Emily that Penelope is a knave.", "We have exhausted all possibilities for Penelope and Emily, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Sebastian is a knave or Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of Emily that Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Sebastian is a knave and Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 2)), ('lying', 3), ('and', ('lying', 0), ('telling-truth', 1)))", "index": 779}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Chloe, Evelyn, and Owen. Luke expressed that Owen is a knight or Owen is a knave. Chloe expressed that Evelyn is a knave and Owen is a knight. Evelyn commented, \"Luke is a knight\". \"Luke is a knight and Chloe is a knave,\" Owen mentioned. So who is a knight and who is a knave?", "names": ["Luke", "Chloe", "Evelyn", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Luke is a knight, Chloe is a knave, Evelyn is a knight, and Owen is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Chloe is a knave\n(3) Evelyn is a knight\n(4) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Owen is a knight or Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Luke is a knight and Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Owen that Luke is a knight and Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Evelyn is a knave and Owen is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 3)), ('and', ('lying', 2), ('telling-truth', 3)), ('telling-truth', 0), ('and', ('telling-truth', 0), ('lying', 1)))", "index": 780}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, James, Emily, and Elizabeth. \"Emily is a knight if and only if Victoria is a knight,\" Victoria claimed. \"Victoria is a knight,\" James declared. Emily said, \"James is not a knight.\" Elizabeth told you that Elizabeth is a knight or Emily is a knight. So who is a knight and who is a knave?", "names": ["Victoria", "James", "Emily", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Victoria is a knave, James is a knave, Emily is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) James is a knave\n(3) Emily is a knight\n(4) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Emily is a knight if and only if Victoria is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of Emily that James is not a knight.", "James cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the claim of Victoria that Emily is a knight if and only if Victoria is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Victoria is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of their own that Victoria is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Victoria is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight or Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 0), ('not', ('telling-truth', 1)), ('or', ('telling-truth', 3), ('telling-truth', 2)))", "index": 781}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Henry, Mia, and Jack. \"Jack is a knight,\" David declared. Henry asserted: \"Mia is a knave\". Mia asserted: \"David is a knave or Jack is a knight\". Jack noted, \"Henry is a knight or Henry is a knave\". So who is a knight and who is a knave?", "names": ["David", "Henry", "Mia", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "David is a knight, Henry is a knave, Mia is a knight, and Jack is a knight.", "solution_text_format": "(1) David is a knight\n(2) Henry is a knave\n(3) Mia is a knight\n(4) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Henry is a knight or Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Henry that Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that David is a knave or Jack is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that David is a knave or Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('lying', 2), ('or', ('lying', 0), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('lying', 1)))", "index": 782}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, Logan, Ava, and Aurora. Abigail was heard saying, \"Aurora is a knight if and only if Ava is a knave\". \"If Abigail is a knight then Ava is a knave,\" Logan claimed. Ava said that Logan is a knight or Logan is a knave. \"Logan is a knight if and only if Abigail is a knave\" - Aurora. So who is a knight and who is a knave?", "names": ["Abigail", "Logan", "Ava", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Abigail is a knave, Logan is a knight, Ava is a knight, and Aurora is a knight.", "solution_text_format": "(1) Abigail is a knave\n(2) Logan is a knight\n(3) Ava is a knight\n(4) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Ava is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Logan is a knight if and only if Abigail is a knave.", "Logan cannot be a knight, because this would contradict the claim of Aurora that Logan is a knight if and only if Abigail is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that If Abigail is a knight then Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Abigail that Aurora is a knight if and only if Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of Logan that If Abigail is a knight then Ava is a knave.", "We have exhausted all possibilities for Ava and Logan, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Abigail is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Abigail is a knight then Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Logan that If Abigail is a knight then Ava is a knave.", "Ava cannot be a knave, because this would contradict the claim of Abigail that Aurora is a knight if and only if Ava is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the false claim of Aurora that Logan is a knight if and only if Abigail is a knave.", "We have exhausted all possibilities for Logan and Aurora, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Ava is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Logan is a knight if and only if Abigail is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Abigail is a knight then Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Logan is a knight or Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('->', ('telling-truth', 0), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 783}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, William, Sophia, and Amelia. \"Amelia is a knave,\" Daniel claimed. William said, \"Daniel is a knight or Amelia is a knave.\" Sophia said, \"William is a knave.\" As Amelia put it, \"William is a knave or Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "William", "Sophia", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Daniel is a knave, William is a knave, Sophia is a knight, and Amelia is a knight.", "solution_text_format": "(1) Daniel is a knave\n(2) William is a knave\n(3) Sophia is a knight\n(4) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Daniel that Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that William is a knave or Sophia is a knave.", "Assume William is a knight. No contradiction is found in their claim that Daniel is a knight or Amelia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of Amelia that William is a knave or Sophia is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider William.", "William cannot be a knave, because this would contradict the false claim of their own that Daniel is a knight or Amelia is a knave.", "We have exhausted all possibilities for William and Amelia, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that William is a knave or Sophia is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Daniel is a knight or Amelia is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Daniel is a knight or Amelia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('or', ('telling-truth', 0), ('lying', 3)), ('lying', 1), ('or', ('lying', 1), ('lying', 2)))", "index": 784}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Amelia, Mason, and Alexander. \"Emily is a knight or Alexander is a knight,\" Emily claimed. \"Mason is a knight if and only if Emily is a knight,\" Amelia mentioned. Mason stated, \"Amelia is a knave if and only if Emily is a knave\". Alexander stated, \"If Alexander is a knight then Mason is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Amelia", "Mason", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Emily is a knight, Amelia is a knave, Mason is a knave, and Alexander is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Amelia is a knave\n(3) Mason is a knave\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight or Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Alexander is a knight then Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Alexander that If Alexander is a knight then Mason is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Emily is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Mason is a knight if and only if Emily is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('lying', 1), ('lying', 0)), ('->', ('telling-truth', 3), ('lying', 2)))", "index": 785}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Liam, Sofia, and Chloe. Emily asserted: \"If Chloe is a knight then Liam is a knight\". Liam was heard saying, \"Sofia is a knight or Emily is a knave\". Sofia remarked, \"Chloe is a knight if and only if Sofia is a knight\". Chloe was heard saying, \"Emily is not a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Liam", "Sofia", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Emily is a knight, Liam is a knight, Sofia is a knight, and Chloe is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Liam is a knight\n(3) Sofia is a knight\n(4) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that If Chloe is a knight then Liam is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Emily is not a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Sofia is a knight or Emily is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Sofia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 0)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('lying', 0)))", "index": 786}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Zoey, Owen, and Elizabeth. In Chloe's words: \"Owen is a knight and Zoey is a knight\". \"Elizabeth is a knave or Zoey is a knight\" - Zoey. As Owen put it, \"If Zoey is a knave then Chloe is a knight\". \"Chloe is a knight if and only if Zoey is a knave\" - Elizabeth. So who is a knight and who is a knave?", "names": ["Chloe", "Zoey", "Owen", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Chloe is a knight, Zoey is a knight, Owen is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Zoey is a knight\n(3) Owen is a knight\n(4) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Owen is a knight and Zoey is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Zoey is a knave then Chloe is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Elizabeth is a knave or Zoey is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Chloe is a knight if and only if Zoey is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 3), ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 1)))", "index": 787}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Owen, Charlotte, and Jack. Ava told you that Jack is a knave if and only if Owen is a knight. Owen told you that Jack is a knave. As Charlotte put it, \"Jack is a knave if and only if Owen is a knight\". In a statement by Jack: \"Charlotte is not a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Owen", "Charlotte", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Ava is a knight, Owen is a knave, Charlotte is a knight, and Jack is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Owen is a knave\n(3) Charlotte is a knight\n(4) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Jack is a knave if and only if Owen is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Jack is a knave if and only if Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of Ava that Jack is a knave if and only if Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 1)), ('lying', 3), ('<=>', ('lying', 3), ('telling-truth', 1)), ('not', ('lying', 2)))", "index": 788}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, James, Emily, and Ava. \"If Emily is a knight then Ava is a knave,\" Mason declared. According to James, \"Mason is a knight and Emily is a knight\". Emily asserted: \"Mason is a knight\". Ava told you that Emily is a knave and Mason is a knight. So who is a knight and who is a knave?", "names": ["Mason", "James", "Emily", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Mason is a knight, James is a knight, Emily is a knight, and Ava is a knave.", "solution_text_format": "(1) Mason is a knight\n(2) James is a knight\n(3) Emily is a knight\n(4) Ava is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that If Emily is a knight then Ava is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Mason is a knight.", "Ava cannot be a knight, because this would contradict the claim of Mason that If Emily is a knight then Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Emily is a knave and Mason is a knight.", "Assume James is a knight. No contradiction is found in their claim that Mason is a knight and Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 3)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 0), ('and', ('lying', 2), ('telling-truth', 0)))", "index": 789}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Mia, James, and Jack. Ava commented, \"James is a knave if and only if James is a knight\". Mia noted, \"Ava is a knight\". \"Mia is a knight and Jack is a knave,\" James claimed. Jack told you that If Mia is a knight then Jack is a knight. So who is a knight and who is a knave?", "names": ["Ava", "Mia", "James", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Ava is a knave, Mia is a knave, James is a knave, and Jack is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Mia is a knave\n(3) James is a knave\n(4) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Ava cannot be a knight, because this would contradict the claim of their own that James is a knave if and only if James is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that James is a knave if and only if James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Mia is a knight and Jack is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Ava is a knight.", "Mia cannot be a knave, because this would contradict the claim of James that Mia is a knight and Jack is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Mia is a knight and Jack is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Ava is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Ava is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Mia is a knight then Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('telling-truth', 0), ('and', ('telling-truth', 1), ('lying', 3)), ('->', ('telling-truth', 1), ('telling-truth', 3)))", "index": 790}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Zoey, Oliver, and Alexander. In a statement by Michael: \"Alexander is a knight\". \"Michael is a knave,\" Zoey mentioned. \"Alexander is a knight or Alexander is a knave,\" Oliver claimed. Alexander remarked, \"Oliver is not a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Zoey", "Oliver", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Michael is a knight, Zoey is a knave, Oliver is a knight, and Alexander is a knight.", "solution_text_format": "(1) Michael is a knight\n(2) Zoey is a knave\n(3) Oliver is a knight\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Oliver is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Alexander is a knight or Alexander is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Michael is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('lying', 0), ('or', ('telling-truth', 3), ('lying', 3)), ('not', ('lying', 2)))", "index": 791}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Riley, Scarlett, and Isabella. Liam remarked, \"Riley is not a knave\". As Riley put it, \"Scarlett is a knave or Isabella is a knight\". Scarlett remarked, \"Liam is a knight if and only if Riley is a knave\". Isabella commented, \"Riley is a knight if and only if Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Riley", "Scarlett", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Liam is a knight, Riley is a knight, Scarlett is a knave, and Isabella is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Riley is a knight\n(3) Scarlett is a knave\n(4) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Riley is not a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Scarlett is a knave or Isabella is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if Riley is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Riley is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Riley is a knight if and only if Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 2)))", "index": 792}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Mason, Ella, and Emma. Alexander was heard saying, \"If Emma is a knight then Ella is a knight\". Mason noted, \"Mason is a knight and Ella is a knight\". Ella was heard saying, \"Mason is a knave if and only if Emma is a knight\". Emma asserted: \"Alexander is not a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Mason", "Ella", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Alexander is a knight, Mason is a knave, Ella is a knight, and Emma is a knight.", "solution_text_format": "(1) Alexander is a knight\n(2) Mason is a knave\n(3) Ella is a knight\n(4) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that If Emma is a knight then Ella is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Mason is a knave if and only if Emma is a knight.", "Mason cannot be a knight, because this would contradict the claim of Ella that Mason is a knave if and only if Emma is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Mason is a knight and Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('not', ('lying', 0)))", "index": 793}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Ella, Henry, and Logan. \"Ella is not a knight,\" Evelyn claimed. \"Henry is a knave and Evelyn is a knight,\" Ella claimed. In a statement by Henry: \"Logan is a knave if and only if Ella is a knave\". In Logan's words: \"Ella is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Ella", "Henry", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Evelyn is a knight, Ella is a knave, Henry is a knight, and Logan is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Ella is a knave\n(3) Henry is a knight\n(4) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Ella is not a knight.", "Ella cannot be a knight, because this would contradict the claim of Evelyn that Ella is not a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Henry is a knave and Evelyn is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Logan is a knave if and only if Ella is a knave.", "Logan cannot be a knight, because this would contradict the claim of Henry that Logan is a knave if and only if Ella is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('lying', 2), ('telling-truth', 0)), ('<=>', ('lying', 3), ('lying', 1)), ('telling-truth', 1))", "index": 794}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Liam, Samuel, and Benjamin. \"Liam is a knave and Benjamin is a knave,\" Oliver mentioned. Liam said, \"Liam is a knight if and only if Oliver is a knave.\" Samuel expressed that Oliver is a knave. Benjamin expressed that Oliver is a knave if and only if Oliver is a knight. So who is a knight and who is a knave?", "names": ["Oliver", "Liam", "Samuel", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Oliver is a knave, Liam is a knight, Samuel is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Oliver is a knave\n(2) Liam is a knight\n(3) Samuel is a knight\n(4) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Liam is a knave and Benjamin is a knave.", "Liam cannot be a knight, because this would contradict the claim of Oliver that Liam is a knave and Benjamin is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that Liam is a knight if and only if Oliver is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Liam is a knave and Benjamin is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Liam is a knight if and only if Oliver is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Oliver is a knave if and only if Oliver is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Oliver is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 3)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('lying', 0), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 795}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Alexander, Noah, and Olivia. Matthew remarked, \"Noah is a knight if and only if Noah is a knave\". \"Noah is a knave or Matthew is a knave,\" Alexander declared. Noah said, \"Matthew is not a knave.\" \"If Matthew is a knight then Olivia is a knight,\" Olivia mentioned. So who is a knight and who is a knave?", "names": ["Matthew", "Alexander", "Noah", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Matthew is a knave, Alexander is a knight, Noah is a knave, and Olivia is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Alexander is a knight\n(3) Noah is a knave\n(4) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Matthew cannot be a knight, because this would contradict the claim of their own that Noah is a knight if and only if Noah is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Noah is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Matthew is not a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Matthew is not a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Noah is a knave or Matthew is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that If Matthew is a knight then Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 2), ('lying', 0)), ('not', ('lying', 0)), ('->', ('telling-truth', 0), ('telling-truth', 3)))", "index": 796}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Avery, Lucas, and Logan. As Evelyn put it, \"Avery is a knight and Lucas is a knight\". As Avery put it, \"Lucas is a knave if and only if Avery is a knight\". Lucas expressed that Avery is a knave if and only if Evelyn is a knave. As Logan put it, \"Avery is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Avery", "Lucas", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Evelyn is a knave, Avery is a knight, Lucas is a knave, and Logan is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Avery is a knight\n(3) Lucas is a knave\n(4) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Avery is a knight and Lucas is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Avery is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Avery that Lucas is a knave if and only if Avery is a knight.", "Lucas cannot be a knave, because this would contradict the claim of Evelyn that Avery is a knight and Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Evelyn that Avery is a knight and Lucas is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Avery is a knight and Lucas is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Avery is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Evelyn that Avery is a knight and Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Evelyn is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Avery is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('lying', 2), ('telling-truth', 1)), ('<=>', ('lying', 1), ('lying', 0)), ('lying', 1))", "index": 797}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Zoey, Sebastian, and Jacob. \"Jacob is a knave or Evelyn is a knight,\" Evelyn claimed. Zoey said, \"Jacob is a knight and Jacob is a knave.\" Sebastian said, \"Zoey is not a knave.\" Jacob expressed that If Sebastian is a knave then Zoey is a knight. So who is a knight and who is a knave?", "names": ["Evelyn", "Zoey", "Sebastian", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Evelyn is a knight, Zoey is a knave, Sebastian is a knave, and Jacob is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Zoey is a knave\n(3) Sebastian is a knave\n(4) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Jacob is a knave or Evelyn is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Sebastian is a knave then Zoey is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Jacob is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Sebastian that Zoey is not a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Jacob is a knave.", "Zoey cannot be a knave, because this would contradict the claim of Jacob that If Sebastian is a knave then Zoey is a knight.", "We have exhausted all possibilities for Zoey and Sebastian, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Sebastian is a knave then Zoey is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Jacob that If Sebastian is a knave then Zoey is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Jacob is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Jacob is a knight and Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 0)), ('and', ('telling-truth', 3), ('lying', 3)), ('not', ('lying', 1)), ('->', ('lying', 2), ('telling-truth', 1)))", "index": 798}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Sophia, Ava, and Joseph. \"Sophia is not a knight\" - Grace. Sophia stated, \"Grace is a knave if and only if Grace is a knight\". Ava noted, \"Joseph is a knight\". In Joseph's words: \"Ava is a knight or Ava is a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Sophia", "Ava", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Grace is a knight, Sophia is a knave, Ava is a knight, and Joseph is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Sophia is a knave\n(3) Ava is a knight\n(4) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Sophia is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of Grace that Sophia is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Grace is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Ava is a knight or Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('telling-truth', 3), ('or', ('telling-truth', 2), ('lying', 2)))", "index": 799}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Emily, Riley, and Harper. Olivia said that If Emily is a knave then Harper is a knave. Emily was heard saying, \"Olivia is a knight if and only if Harper is a knave\". Riley told you that Olivia is a knight if and only if Emily is a knave. \"Riley is not a knave,\" Harper claimed. So who is a knight and who is a knave?", "names": ["Olivia", "Emily", "Riley", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Olivia is a knight, Emily is a knight, Riley is a knave, and Harper is a knave.", "solution_text_format": "(1) Olivia is a knight\n(2) Emily is a knight\n(3) Riley is a knave\n(4) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that If Emily is a knave then Harper is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Emily that Olivia is a knight if and only if Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Riley is not a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Olivia is a knight if and only if Emily is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 1)), ('not', ('lying', 2)))", "index": 800}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Amelia, Lucas, and Matthew. Isabella said that Matthew is a knight if and only if Matthew is a knave. As Amelia put it, \"Lucas is not a knight\". Lucas asserted: \"Matthew is not a knave\". Matthew asserted: \"Amelia is a knight if and only if Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Amelia", "Lucas", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Isabella is a knave, Amelia is a knight, Lucas is a knave, and Matthew is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) Amelia is a knight\n(3) Lucas is a knave\n(4) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Isabella cannot be a knight, because this would contradict the claim of their own that Matthew is a knight if and only if Matthew is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Lucas is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Lucas is not a knight.", "Lucas cannot be a knight, because this would contradict the claim of Amelia that Lucas is not a knight.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Matthew is not a knave.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Lucas is not a knight.", "Lucas cannot be a knight, because this would contradict the claim of Matthew that Amelia is a knight if and only if Lucas is a knight.", "Lucas cannot be a knave, because this would contradict the false claim of Amelia that Lucas is not a knight.", "We have exhausted all possibilities for Lucas and Amelia, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Lucas is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Lucas is not a knight.", "Lucas cannot be a knight, because this would contradict the claim of Amelia that Lucas is not a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Matthew is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 3)), ('not', ('telling-truth', 2)), ('not', ('lying', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "index": 801}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Emily, Abigail, and David. According to Isabella, \"Abigail is a knight or David is a knight\". In Emily's words: \"Abigail is not a knight\". Abigail was heard saying, \"Emily is a knight or David is a knave\". David was heard saying, \"David is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Emily", "Abigail", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Isabella is a knight, Emily is a knave, Abigail is a knight, and David is a knave.", "solution_text_format": "(1) Isabella is a knight\n(2) Emily is a knave\n(3) Abigail is a knight\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Abigail is a knight or David is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Emily is a knight or David is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Abigail is not a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Abigail is not a knight.", "David cannot be a knight, because this would contradict the claim of Abigail that Emily is a knight or David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 3)), ('telling-truth', 3))", "index": 802}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Lucas, Owen, and Riley. Lily said, \"If Lucas is a knave then Owen is a knave.\" Lucas expressed that If Riley is a knave then Lily is a knight. Owen asserted: \"Riley is a knight or Lily is a knave\". As Riley put it, \"Lily is a knave and Owen is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Lucas", "Owen", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Lily is a knight, Lucas is a knight, Owen is a knave, and Riley is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Lucas is a knight\n(3) Owen is a knave\n(4) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that If Lucas is a knave then Owen is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that If Riley is a knave then Lily is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Owen is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Lily is a knave and Owen is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Riley is a knight or Lily is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Riley is a knight or Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('lying', 0)), ('and', ('lying', 0), ('telling-truth', 2)))", "index": 803}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Penelope, Luke, and Lucas. Scarlett said that If Luke is a knight then Lucas is a knave. \"Scarlett is not a knight,\" Penelope claimed. In a statement by Luke: \"Lucas is a knave if and only if Scarlett is a knight\". Lucas stated, \"Penelope is a knight and Luke is a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Penelope", "Luke", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Scarlett is a knight, Penelope is a knave, Luke is a knight, and Lucas is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Penelope is a knave\n(3) Luke is a knight\n(4) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that If Luke is a knight then Lucas is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Scarlett is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Scarlett that If Luke is a knight then Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Penelope is a knight and Luke is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Scarlett is not a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Scarlett is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 3)), ('not', ('telling-truth', 0)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 2)))", "index": 804}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aurora, Aria, William, and Ella. Aurora commented, \"Ella is a knave and Aurora is a knight\". Aria expressed that Aurora is a knight and Ella is a knight. In William's words: \"If Aria is a knight then William is a knight\". Ella told you that Aria is a knave. So who is a knight and who is a knave?", "names": ["Aurora", "Aria", "William", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Aurora is a knave, Aria is a knave, William is a knight, and Ella is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Aria is a knave\n(3) William is a knight\n(4) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Ella is a knave and Aurora is a knight.", "Ella cannot be a knight, because this would contradict the claim of Aurora that Ella is a knave and Aurora is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Ella is a knight.", "Aria cannot be a knave, because this would contradict the false claim of Ella that Aria is a knave.", "We have exhausted all possibilities for Aria and Ella, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Ella is a knave and Aurora is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Ella is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Aurora is a knight and Ella is a knight.", "Assume William is a knight. No contradiction is found in their claim that If Aria is a knight then William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('lying', 1))", "index": 805}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Aurora, Jackson, and Penelope. According to Jack, \"Aurora is not a knave\". Aurora said that Jack is a knave and Jack is a knight. \"Penelope is a knight and Jackson is a knight,\" Jackson claimed. \"Aurora is not a knave,\" Penelope mentioned. So who is a knight and who is a knave?", "names": ["Jack", "Aurora", "Jackson", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Jack is a knave, Aurora is a knave, Jackson is a knave, and Penelope is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Aurora is a knave\n(3) Jackson is a knave\n(4) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Jack is a knave and Jack is a knight.", "Aurora cannot be a knave, because this would contradict the claim of Jack that Aurora is not a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Aurora is not a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Jack that Aurora is not a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Jack is a knave and Jack is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Penelope is a knight and Jackson is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Aurora is not a knave.", "Penelope cannot be a knave, because this would contradict the claim of Jackson that Penelope is a knight and Jackson is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Penelope is a knight and Jackson is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Aurora is not a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Aurora is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 0)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('lying', 1)))", "index": 806}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Avery, Joseph, and Elizabeth. As Samuel put it, \"If Samuel is a knight then Avery is a knave\". Avery asserted: \"Joseph is a knight\". As Joseph put it, \"Avery is a knight and Avery is a knave\". Elizabeth noted, \"Avery is a knave if and only if Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Avery", "Joseph", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Samuel is a knight, Avery is a knave, Joseph is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Avery is a knave\n(3) Joseph is a knave\n(4) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that If Samuel is a knight then Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Samuel that If Samuel is a knight then Avery is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Avery that Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Avery is a knight and Avery is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Avery is a knave if and only if Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 2), ('and', ('telling-truth', 1), ('lying', 1)), ('<=>', ('lying', 1), ('telling-truth', 0)))", "index": 807}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Jack, Amelia, and Aiden. Sofia said that Aiden is not a knight. Jack stated, \"Sofia is not a knight\". According to Amelia, \"Amelia is a knight if and only if Jack is a knave\". \"Amelia is a knave or Jack is a knight,\" Aiden declared. So who is a knight and who is a knave?", "names": ["Sofia", "Jack", "Amelia", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Sofia is a knight, Jack is a knave, Amelia is a knight, and Aiden is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Jack is a knave\n(3) Amelia is a knight\n(4) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Aiden cannot be a knight, because this would contradict the claim of Sofia that Aiden is not a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Amelia is a knave or Jack is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Sofia is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Sofia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 1)))", "index": 808}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Penelope, Abigail, and Zoey. As Matthew put it, \"Zoey is a knave\". Penelope noted, \"Zoey is a knight and Zoey is a knave\". Abigail remarked, \"Penelope is a knight and Zoey is a knight\". \"If Penelope is a knave then Abigail is a knave,\" Zoey mentioned. So who is a knight and who is a knave?", "names": ["Matthew", "Penelope", "Abigail", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Matthew is a knave, Penelope is a knave, Abigail is a knave, and Zoey is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Penelope is a knave\n(3) Abigail is a knave\n(4) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Matthew that Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Penelope is a knave then Abigail is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Zoey is a knight and Zoey is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Zoey is a knight and Zoey is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Penelope is a knight and Zoey is a knight.", "Abigail cannot be a knave, because this would contradict the false claim of Zoey that If Penelope is a knave then Abigail is a knave.", "We have exhausted all possibilities for Abigail, Penelope, and Zoey, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Penelope is a knave then Abigail is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Zoey is a knight and Zoey is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Zoey is a knight and Zoey is a knave.", "Abigail cannot be a knight, because this would contradict the claim of their own that Penelope is a knight and Zoey is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Penelope is a knight and Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('and', ('telling-truth', 3), ('lying', 3)), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('->', ('lying', 1), ('lying', 2)))", "index": 809}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, Emily, Michael, and Lily. Abigail expressed that If Lily is a knave then Michael is a knave. Emily commented, \"Michael is not a knight\". Michael noted, \"Abigail is not a knave\". Lily was heard saying, \"If Emily is a knight then Michael is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Emily", "Michael", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Abigail is a knight, Emily is a knave, Michael is a knight, and Lily is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Emily is a knave\n(3) Michael is a knight\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that If Lily is a knave then Michael is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Emily is a knight then Michael is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Michael is not a knight.", "Michael cannot be a knight, because this would contradict the claim of Emily that Michael is not a knight.", "Michael cannot be a knave, because this would contradict the false claim of their own that Abigail is not a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Michael is not a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Abigail is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 2)), ('not', ('telling-truth', 2)), ('not', ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 2)))", "index": 810}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Elizabeth, Lily, and Ella. \"Lily is not a knave\" - Liam. Elizabeth expressed that Ella is a knave if and only if Lily is a knave. Lily noted, \"Liam is a knight\". Ella said that Liam is a knight and Elizabeth is a knave. So who is a knight and who is a knave?", "names": ["Liam", "Elizabeth", "Lily", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Liam is a knave, Elizabeth is a knight, Lily is a knave, and Ella is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Elizabeth is a knight\n(3) Lily is a knave\n(4) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Ella is a knave if and only if Lily is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Liam is a knight and Elizabeth is a knave.", "Ella cannot be a knave, because this would contradict the claim of Elizabeth that Ella is a knave if and only if Lily is a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Ella is a knave if and only if Lily is a knave.", "Ella cannot be a knight, because this would contradict the false claim of Elizabeth that Ella is a knave if and only if Lily is a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that Liam is a knight and Elizabeth is a knave.", "We have exhausted all possibilities for Ella and Elizabeth, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Liam that Lily is not a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Lily cannot be a knight, because this would contradict the false claim of Liam that Lily is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Liam is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Ella is a knave if and only if Lily is a knave.", "Ella cannot be a knight, because this would contradict the claim of Elizabeth that Ella is a knave if and only if Lily is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Liam is a knight and Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('<=>', ('lying', 3), ('lying', 2)), ('telling-truth', 0), ('and', ('telling-truth', 0), ('lying', 1)))", "index": 811}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Charlotte, Liam, and Abigail. In a statement by Harper: \"Abigail is not a knave\". Charlotte stated, \"Harper is not a knight\". \"If Liam is a knight then Harper is a knave,\" Liam claimed. Abigail expressed that If Liam is a knight then Charlotte is a knave. So who is a knight and who is a knave?", "names": ["Harper", "Charlotte", "Liam", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Harper is a knave, Charlotte is a knight, Liam is a knight, and Abigail is a knave.", "solution_text_format": "(1) Harper is a knave\n(2) Charlotte is a knight\n(3) Liam is a knight\n(4) Abigail is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Abigail is not a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that If Liam is a knight then Charlotte is a knave.", "Liam cannot be a knight, because this would contradict the claim of their own that If Liam is a knight then Harper is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that If Liam is a knight then Harper is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Harper that Abigail is not a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Abigail is not a knave.", "Abigail cannot be a knight, because this would contradict the false claim of Harper that Abigail is not a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Liam is a knight then Charlotte is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Liam is a knight then Harper is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Harper is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('not', ('telling-truth', 0)), ('->', ('telling-truth', 2), ('lying', 0)), ('->', ('telling-truth', 2), ('lying', 1)))", "index": 812}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Daniel, James, and Logan. In Lucas's words: \"If Logan is a knight then Daniel is a knave\". Daniel said, \"Lucas is not a knight.\" James was heard saying, \"Logan is not a knave\". In a statement by Logan: \"Lucas is a knave if and only if Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Lucas", "Daniel", "James", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Lucas is a knight, Daniel is a knave, James is a knave, and Logan is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Daniel is a knave\n(3) James is a knave\n(4) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that If Logan is a knight then Daniel is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Lucas that If Logan is a knight then Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Logan that Lucas is a knave if and only if Daniel is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Lucas is not a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Lucas is not a knight.", "James cannot be a knight, because this would contradict the claim of their own that Logan is not a knave.", "Assume James is a knave. No contradiction is found in their false claim that Logan is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 1)), ('not', ('telling-truth', 0)), ('not', ('lying', 3)), ('<=>', ('lying', 0), ('lying', 1)))", "index": 813}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Victoria, Lucas, and Joseph. \"Joseph is a knight or Luke is a knight,\" Luke claimed. Victoria asserted: \"If Luke is a knave then Lucas is a knave\". \"Luke is not a knave,\" Lucas claimed. In Joseph's words: \"Luke is a knight or Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Victoria", "Lucas", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Luke is a knight, Victoria is a knight, Lucas is a knight, and Joseph is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Victoria is a knight\n(3) Lucas is a knight\n(4) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Joseph is a knight or Luke is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Luke is a knight or Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Luke is a knave then Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Luke is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('lying', 0), ('lying', 2)), ('not', ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "index": 814}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Ava, Emily, and Henry. Ethan said that If Henry is a knight then Henry is a knave. \"Emily is a knight if and only if Emily is a knave,\" Ava mentioned. \"If Henry is a knight then Henry is a knave,\" Emily mentioned. Henry expressed that Ava is not a knave. So who is a knight and who is a knave?", "names": ["Ethan", "Ava", "Emily", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Ethan is a knight, Ava is a knave, Emily is a knight, and Henry is a knave.", "solution_text_format": "(1) Ethan is a knight\n(2) Ava is a knave\n(3) Emily is a knight\n(4) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that If Henry is a knight then Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Ethan that If Henry is a knight then Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Ava is not a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Emily is a knight if and only if Emily is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Henry is a knight then Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 3)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('->', ('telling-truth', 3), ('lying', 3)), ('not', ('lying', 1)))", "index": 815}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Matthew, David, and Henry. Grace said that Matthew is a knight or Matthew is a knave. \"David is not a knave,\" Matthew declared. David remarked, \"Henry is a knave and Matthew is a knight\". Henry told you that David is not a knave. So who is a knight and who is a knave?", "names": ["Grace", "Matthew", "David", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Grace is a knight, Matthew is a knave, David is a knave, and Henry is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Matthew is a knave\n(3) David is a knave\n(4) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Matthew is a knight or Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that David is not a knave.", "Assume David is a knight. No contradiction is found in their claim that Henry is a knave and Matthew is a knight.", "Henry cannot be a knight, because this would contradict the claim of David that Henry is a knave and Matthew is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that David is not a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Matthew that David is not a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that David is not a knave.", "David cannot be a knight, because this would contradict the false claim of Matthew that David is not a knave.", "Assume David is a knave. No contradiction is found in their false claim that Henry is a knave and Matthew is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that David is not a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that David is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 2)), ('and', ('lying', 3), ('telling-truth', 1)), ('not', ('lying', 2)))", "index": 816}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Chloe, Jacob, and Logan. According to Amelia, \"Jacob is a knave\". Chloe said, \"Jacob is a knight or Logan is a knight.\" \"Chloe is a knave and Jacob is a knight,\" Jacob claimed. Logan said that Jacob is a knight or Jacob is a knave. So who is a knight and who is a knave?", "names": ["Amelia", "Chloe", "Jacob", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Amelia is a knight, Chloe is a knight, Jacob is a knave, and Logan is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Chloe is a knight\n(3) Jacob is a knave\n(4) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Amelia that Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Chloe is a knave and Jacob is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Jacob is a knight or Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Jacob is a knight or Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('lying', 2)))", "index": 817}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Mia, Evelyn, and Aiden. \"Aiden is a knave and Aiden is a knight,\" Isabella declared. In a statement by Mia: \"Aiden is a knave and Evelyn is a knave\". Evelyn noted, \"Aiden is a knight\". Aiden commented, \"Isabella is not a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Mia", "Evelyn", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Isabella is a knave, Mia is a knave, Evelyn is a knight, and Aiden is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Mia is a knave\n(3) Evelyn is a knight\n(4) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Isabella cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Aiden is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Aiden is a knave and Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Isabella is not a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Evelyn is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Aiden is a knave and Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 3)), ('and', ('lying', 3), ('lying', 2)), ('telling-truth', 3), ('not', ('telling-truth', 0)))", "index": 818}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Oliver, Aiden, and Owen. In a statement by Liam: \"Aiden is a knight if and only if Owen is a knight\". Oliver said, \"Aiden is a knight or Liam is a knave.\" According to Aiden, \"Owen is a knave if and only if Oliver is a knight\". In Owen's words: \"Liam is a knight or Oliver is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Oliver", "Aiden", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Liam is a knave, Oliver is a knight, Aiden is a knight, and Owen is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Oliver is a knight\n(3) Aiden is a knight\n(4) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Owen is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Owen is a knave if and only if Oliver is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Liam is a knight or Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Aiden that Owen is a knave if and only if Oliver is a knight.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Aiden is a knight or Liam is a knave.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the claim of Liam that Aiden is a knight if and only if Owen is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Owen is a knave if and only if Oliver is a knight.", "Owen cannot be a knight, because this would contradict the claim of Liam that Aiden is a knight if and only if Owen is a knight.", "Owen cannot be a knave, because this would contradict the false claim of their own that Liam is a knight or Oliver is a knave.", "We have exhausted all possibilities for Owen and Aiden, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Owen is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Owen is a knave if and only if Oliver is a knight.", "Owen cannot be a knight, because this would contradict the false claim of Liam that Aiden is a knight if and only if Owen is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Liam is a knight or Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Aiden is a knight or Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 0)), ('<=>', ('lying', 3), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 1)))", "index": 819}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Elizabeth, Scarlett, and Abigail. Penelope commented, \"Scarlett is a knight\". Elizabeth said, \"Penelope is a knight.\" Scarlett was heard saying, \"Elizabeth is a knight and Abigail is a knight\". Abigail noted, \"Scarlett is a knave and Penelope is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Elizabeth", "Scarlett", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Penelope is a knave, Elizabeth is a knave, Scarlett is a knave, and Abigail is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Elizabeth is a knave\n(3) Scarlett is a knave\n(4) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Elizabeth is a knight and Abigail is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Penelope is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave and Penelope is a knave.", "Abigail cannot be a knave, because this would contradict the claim of Scarlett that Elizabeth is a knight and Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Penelope is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the claim of Penelope that Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Penelope that Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Abigail is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Penelope is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Scarlett is a knave and Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('telling-truth', 0), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('lying', 2), ('lying', 0)))", "index": 820}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Elizabeth, Sophia, and Penelope. Chloe commented, \"Penelope is a knave if and only if Chloe is a knight\". Elizabeth noted, \"Penelope is a knight or Chloe is a knave\". \"Sophia is a knight if and only if Chloe is a knight,\" Sophia mentioned. Penelope said, \"If Sophia is a knave then Penelope is a knight.\" So who is a knight and who is a knave?", "names": ["Chloe", "Elizabeth", "Sophia", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Chloe is a knight, Elizabeth is a knave, Sophia is a knave, and Penelope is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Elizabeth is a knave\n(3) Sophia is a knave\n(4) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Penelope is a knave if and only if Chloe is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Chloe that Penelope is a knave if and only if Chloe is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that If Sophia is a knave then Penelope is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Penelope that If Sophia is a knave then Penelope is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Chloe is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Penelope is a knight or Chloe is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Penelope is a knight or Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('lying', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('lying', 2), ('telling-truth', 3)))", "index": 821}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Zoey, Elizabeth, and Matthew. In Jacob's words: \"Jacob is a knight if and only if Matthew is a knave\". Zoey commented, \"Elizabeth is a knight\". Elizabeth was heard saying, \"Jacob is a knight if and only if Jacob is a knave\". As Matthew put it, \"If Zoey is a knave then Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Zoey", "Elizabeth", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Jacob is a knave, Zoey is a knave, Elizabeth is a knave, and Matthew is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Zoey is a knave\n(3) Elizabeth is a knave\n(4) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Jacob that Jacob is a knight if and only if Matthew is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that If Zoey is a knave then Jacob is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the false claim of Jacob that Jacob is a knight if and only if Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Zoey is a knave then Jacob is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Matthew that If Zoey is a knave then Jacob is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Zoey that Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 3)), ('telling-truth', 2), ('<=>', ('telling-truth', 0), ('lying', 0)), ('->', ('lying', 1), ('telling-truth', 0)))", "index": 822}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Harper, Sebastian, and Aurora. Jack was heard saying, \"If Harper is a knight then Aurora is a knight\". In a statement by Harper: \"Sebastian is a knight or Jack is a knave\". \"Jack is not a knave,\" Sebastian mentioned. Aurora noted, \"Harper is not a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Harper", "Sebastian", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Jack is a knave, Harper is a knight, Sebastian is a knave, and Aurora is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Harper is a knight\n(3) Sebastian is a knave\n(4) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that If Harper is a knight then Aurora is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Sebastian is a knight or Jack is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jack is not a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Harper is not a knight.", "Aurora cannot be a knave, because this would contradict the claim of Jack that If Harper is a knight then Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the claim of Harper that Sebastian is a knight or Jack is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Sebastian is a knight or Jack is a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Harper that Sebastian is a knight or Jack is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Jack is not a knave.", "We have exhausted all possibilities for Sebastian and Harper, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that If Harper is a knight then Aurora is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Sebastian is a knight or Jack is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Jack is not a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jack is not a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Jack that If Harper is a knight then Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Harper is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 0)), ('not', ('lying', 0)), ('not', ('telling-truth', 1)))", "index": 823}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Michael, Avery, and Logan. In Amelia's words: \"Avery is a knave if and only if Michael is a knave\". Michael noted, \"Logan is a knave\". Avery told you that Amelia is a knave. In a statement by Logan: \"Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Michael", "Avery", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Amelia is a knave, Michael is a knave, Avery is a knight, and Logan is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Michael is a knave\n(3) Avery is a knight\n(4) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Avery is a knave if and only if Michael is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Amelia is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Amelia is a knave.", "Michael cannot be a knight, because this would contradict the claim of Amelia that Avery is a knave if and only if Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Amelia is a knave.", "Logan cannot be a knave, because this would contradict the false claim of Michael that Logan is a knave.", "We have exhausted all possibilities for Logan, Michael, and Avery, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Michael is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Amelia is a knave.", "Michael cannot be a knight, because this would contradict the false claim of Amelia that Avery is a knave if and only if Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('lying', 3), ('lying', 0), ('lying', 0))", "index": 824}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Benjamin, Luke, and Alexander. Ethan noted, \"Alexander is a knight\". \"If Luke is a knight then Alexander is a knave,\" Benjamin claimed. Luke commented, \"Ethan is a knave\". Alexander noted, \"Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Benjamin", "Luke", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Ethan is a knight, Benjamin is a knight, Luke is a knave, and Alexander is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Benjamin is a knight\n(3) Luke is a knave\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Luke is a knight then Alexander is a knave.", "Luke cannot be a knight, because this would contradict the claim of Benjamin that If Luke is a knight then Alexander is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('->', ('telling-truth', 2), ('lying', 3)), ('lying', 0), ('telling-truth', 1))", "index": 825}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Chloe, Zoey, and Mason. In Riley's words: \"Chloe is a knave\". \"Chloe is a knight if and only if Zoey is a knight\" - Chloe. Zoey told you that Zoey is a knight if and only if Riley is a knave. Mason told you that Zoey is a knave if and only if Chloe is a knave. So who is a knight and who is a knave?", "names": ["Riley", "Chloe", "Zoey", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Riley is a knave, Chloe is a knight, Zoey is a knight, and Mason is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Chloe is a knight\n(3) Zoey is a knight\n(4) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Riley that Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Zoey is a knight if and only if Riley is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of Chloe that Chloe is a knight if and only if Zoey is a knight.", "We have exhausted all possibilities for Zoey and Chloe, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Riley is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('<=>', ('lying', 2), ('lying', 1)))", "index": 826}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Mia, Mason, and Daniel. \"Daniel is a knight\" - Aiden. In a statement by Mia: \"Aiden is a knave if and only if Daniel is a knight\". Mason expressed that Mia is a knave. In a statement by Daniel: \"Mason is a knave if and only if Mia is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Mia", "Mason", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Aiden is a knave, Mia is a knave, Mason is a knight, and Daniel is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Mia is a knave\n(3) Mason is a knight\n(4) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Mason is a knave if and only if Mia is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Aiden is a knave if and only if Daniel is a knight.", "Mia cannot be a knave, because this would contradict the claim of Daniel that Mason is a knave if and only if Mia is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Aiden is a knave if and only if Daniel is a knight.", "Mia cannot be a knave, because this would contradict the false claim of Mason that Mia is a knave.", "We have exhausted all possibilities for Mia and Mason, so let us go back and reconsider Daniel.", "Daniel cannot be a knave, because this would contradict the claim of Aiden that Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Aiden that Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Mia is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Aiden is a knave if and only if Daniel is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Aiden is a knave if and only if Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('<=>', ('lying', 0), ('telling-truth', 3)), ('lying', 1), ('<=>', ('lying', 2), ('lying', 1)))", "index": 827}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Sebastian, Zoey, and Joseph. James was heard saying, \"Zoey is not a knight\". \"James is a knave\" - Sebastian. \"James is a knave and Joseph is a knave,\" Zoey claimed. In a statement by Joseph: \"If Zoey is a knave then James is a knave\". So who is a knight and who is a knave?", "names": ["James", "Sebastian", "Zoey", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "James is a knight, Sebastian is a knave, Zoey is a knave, and Joseph is a knave.", "solution_text_format": "(1) James is a knight\n(2) Sebastian is a knave\n(3) Zoey is a knave\n(4) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of James that Zoey is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that James is a knave and Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that If Zoey is a knave then James is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that If Zoey is a knave then James is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that James is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('lying', 0), ('and', ('lying', 0), ('lying', 3)), ('->', ('lying', 2), ('lying', 0)))", "index": 828}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Lucas, Noah, and David. Ethan stated, \"Noah is a knave if and only if Ethan is a knight\". \"Ethan is a knave if and only if Noah is a knight,\" Lucas declared. Noah asserted: \"David is a knight if and only if Noah is a knight\". In a statement by David: \"Ethan is a knave and Noah is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Lucas", "Noah", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Ethan is a knave, Lucas is a knave, Noah is a knave, and David is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Lucas is a knave\n(3) Noah is a knave\n(4) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Noah is a knave if and only if Ethan is a knight.", "Noah cannot be a knight, because this would contradict the claim of Ethan that Noah is a knave if and only if Ethan is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that David is a knight if and only if Noah is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Noah is a knave.", "David cannot be a knave, because this would contradict the false claim of Noah that David is a knight if and only if Noah is a knight.", "We have exhausted all possibilities for David and Noah, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Noah is a knave if and only if Ethan is a knight.", "Noah cannot be a knight, because this would contradict the false claim of Ethan that Noah is a knave if and only if Ethan is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that David is a knight if and only if Noah is a knight.", "Assume David is a knight. No contradiction is found in their claim that Ethan is a knave and Noah is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Ethan is a knave if and only if Noah is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('lying', 0), ('lying', 2)))", "index": 829}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, Lily, Sebastian, and Olivia. As Abigail put it, \"Olivia is a knave if and only if Sebastian is a knight\". In a statement by Lily: \"Olivia is a knight if and only if Abigail is a knave\". Sebastian told you that Lily is a knight or Abigail is a knight. \"Lily is a knave or Sebastian is a knave,\" Olivia declared. So who is a knight and who is a knave?", "names": ["Abigail", "Lily", "Sebastian", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Abigail is a knight, Lily is a knight, Sebastian is a knight, and Olivia is a knave.", "solution_text_format": "(1) Abigail is a knight\n(2) Lily is a knight\n(3) Sebastian is a knight\n(4) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Sebastian is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Lily is a knave or Sebastian is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Olivia is a knight if and only if Abigail is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Abigail is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Abigail that Olivia is a knave if and only if Sebastian is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Lily is a knight or Abigail is a knight.", "We have exhausted all possibilities for Sebastian and Lily, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Lily is a knave or Sebastian is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Abigail is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Lily is a knight or Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('lying', 1), ('lying', 2)))", "index": 830}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Benjamin, Chloe, and Sebastian. Mason was heard saying, \"Benjamin is a knight and Mason is a knight\". In Benjamin's words: \"Chloe is a knave or Mason is a knave\". \"Benjamin is a knight and Mason is a knave,\" Chloe declared. Sebastian expressed that If Sebastian is a knight then Mason is a knight. So who is a knight and who is a knave?", "names": ["Mason", "Benjamin", "Chloe", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Mason is a knight, Benjamin is a knight, Chloe is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Benjamin is a knight\n(3) Chloe is a knave\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Benjamin is a knight and Mason is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Chloe is a knave or Mason is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Benjamin that Chloe is a knave or Mason is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Benjamin is a knight and Mason is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Sebastian is a knight then Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('lying', 2), ('lying', 0)), ('and', ('telling-truth', 1), ('lying', 0)), ('->', ('telling-truth', 3), ('telling-truth', 0)))", "index": 831}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Joseph, Penelope, and David. According to Emma, \"If Joseph is a knave then Joseph is a knight\". Joseph noted, \"Penelope is a knight and Joseph is a knight\". \"Emma is a knave or David is a knave\" - Penelope. David expressed that Emma is a knight or Joseph is a knave. So who is a knight and who is a knave?", "names": ["Emma", "Joseph", "Penelope", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Emma is a knave, Joseph is a knave, Penelope is a knight, and David is a knight.", "solution_text_format": "(1) Emma is a knave\n(2) Joseph is a knave\n(3) Penelope is a knight\n(4) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that If Joseph is a knave then Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Penelope is a knight and Joseph is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Emma is a knave or David is a knave.", "David cannot be a knight, because this would contradict the claim of Penelope that Emma is a knave or David is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that Emma is a knight or Joseph is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Penelope.", "Penelope cannot be a knave, because this would contradict the claim of Joseph that Penelope is a knight and Joseph is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the claim of Emma that If Joseph is a knave then Joseph is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that If Joseph is a knave then Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Emma that If Joseph is a knave then Joseph is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Penelope is a knight and Joseph is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Emma is a knave or David is a knave.", "Assume David is a knight. No contradiction is found in their claim that Emma is a knight or Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 0), ('lying', 3)), ('or', ('telling-truth', 0), ('lying', 1)))", "index": 832}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Sebastian, Daniel, and Jacob. Riley expressed that Daniel is a knave or Jacob is a knight. Sebastian asserted: \"Daniel is a knight\". According to Daniel, \"Riley is a knave\". Jacob remarked, \"Riley is a knave if and only if Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Sebastian", "Daniel", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Riley is a knight, Sebastian is a knave, Daniel is a knave, and Jacob is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Sebastian is a knave\n(3) Daniel is a knave\n(4) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Daniel is a knave or Jacob is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Riley is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Riley is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Riley is a knave if and only if Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Daniel is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 3)), ('telling-truth', 2), ('lying', 0), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 833}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Ethan, Victoria, and Jacob. Scarlett said that Victoria is a knight or Ethan is a knight. In Ethan's words: \"Victoria is a knave or Scarlett is a knave\". According to Victoria, \"Scarlett is not a knight\". Jacob expressed that Victoria is a knave and Scarlett is a knave. So who is a knight and who is a knave?", "names": ["Scarlett", "Ethan", "Victoria", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Scarlett is a knight, Ethan is a knight, Victoria is a knave, and Jacob is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Ethan is a knight\n(3) Victoria is a knave\n(4) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Victoria is a knight or Ethan is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Scarlett is not a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Victoria is a knave or Scarlett is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Scarlett is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Victoria is a knave and Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 2), ('lying', 0)), ('not', ('telling-truth', 0)), ('and', ('lying', 2), ('lying', 0)))", "index": 834}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Henry, Lucas, and Grace. Matthew remarked, \"Lucas is a knave and Henry is a knave\". Henry was heard saying, \"Matthew is not a knave\". Lucas commented, \"Lucas is a knight or Grace is a knight\". Grace noted, \"Matthew is not a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Henry", "Lucas", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Matthew is a knave, Henry is a knave, Lucas is a knight, and Grace is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Henry is a knave\n(3) Lucas is a knight\n(4) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Lucas is a knave and Henry is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Matthew that Lucas is a knave and Henry is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Lucas is a knight or Grace is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Lucas that Lucas is a knight or Grace is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Matthew is not a knight.", "Henry cannot be a knight, because this would contradict the claim of Matthew that Lucas is a knave and Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Matthew is not a knave.", "We have exhausted all possibilities for Henry, Grace, and Lucas, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Lucas is a knave and Henry is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Lucas is a knight or Grace is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Matthew is not a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Matthew is not a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Matthew is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('not', ('lying', 0)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('telling-truth', 0)))", "index": 835}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Logan, Charlotte, and Noah. \"Logan is a knight and Noah is a knave\" - Aiden. In Logan's words: \"Charlotte is a knave\". \"Noah is a knave or Noah is a knight\" - Charlotte. Noah stated, \"Logan is not a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Logan", "Charlotte", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Aiden is a knave, Logan is a knave, Charlotte is a knight, and Noah is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Logan is a knave\n(3) Charlotte is a knight\n(4) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Logan is a knight and Noah is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Logan that Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Noah is a knave or Noah is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Logan.", "Logan cannot be a knave, because this would contradict the claim of Aiden that Logan is a knight and Noah is a knave.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Logan is a knight and Noah is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Logan that Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Noah is a knave or Noah is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Noah is a knave or Noah is a knight.", "Noah cannot be a knight, because this would contradict the claim of their own that Logan is not a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Logan is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 3)), ('lying', 2), ('or', ('lying', 3), ('telling-truth', 3)), ('not', ('lying', 1)))", "index": 836}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Elizabeth, Avery, and Lily. Lucas was heard saying, \"If Avery is a knave then Avery is a knight\". Elizabeth said that Avery is a knight or Lucas is a knave. In Avery's words: \"Elizabeth is a knight\". Lily expressed that If Avery is a knight then Elizabeth is a knave. So who is a knight and who is a knave?", "names": ["Lucas", "Elizabeth", "Avery", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Lucas is a knight, Elizabeth is a knight, Avery is a knight, and Lily is a knave.", "solution_text_format": "(1) Lucas is a knight\n(2) Elizabeth is a knight\n(3) Avery is a knight\n(4) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that If Avery is a knave then Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Avery is a knight or Lucas is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that If Avery is a knight then Elizabeth is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that If Avery is a knight then Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('lying', 0)), ('telling-truth', 1), ('->', ('telling-truth', 2), ('lying', 1)))", "index": 837}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Jack, Amelia, and Olivia. Scarlett remarked, \"Olivia is a knight and Jack is a knight\". Jack was heard saying, \"Amelia is not a knight\". Amelia expressed that Scarlett is a knave if and only if Olivia is a knave. Olivia noted, \"Amelia is a knave or Jack is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Jack", "Amelia", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Scarlett is a knave, Jack is a knave, Amelia is a knight, and Olivia is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Jack is a knave\n(3) Amelia is a knight\n(4) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Olivia is a knight and Jack is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Amelia is a knave or Jack is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Olivia is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Amelia is not a knight.", "Jack cannot be a knave, because this would contradict the claim of Scarlett that Olivia is a knight and Jack is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Scarlett is a knave if and only if Olivia is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Scarlett that Olivia is a knight and Jack is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Olivia is a knight and Jack is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Amelia is a knave or Jack is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave if and only if Olivia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Olivia is a knave.", "Jack cannot be a knight, because this would contradict the false claim of Scarlett that Olivia is a knight and Jack is a knight.", "Jack cannot be a knave, because this would contradict the false claim of their own that Amelia is not a knight.", "We have exhausted all possibilities for Jack and Amelia, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Amelia is a knave or Jack is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Olivia is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Amelia is not a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Amelia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('<=>', ('lying', 0), ('lying', 3)), ('or', ('lying', 2), ('telling-truth', 1)))", "index": 838}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Sofia, Zoey, and Lucas. Joseph said that Zoey is a knave if and only if Lucas is a knight. As Sofia put it, \"If Zoey is a knave then Zoey is a knight\". Zoey said, \"Lucas is a knave and Lucas is a knight.\" Lucas was heard saying, \"Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Sofia", "Zoey", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Joseph is a knave, Sofia is a knave, Zoey is a knave, and Lucas is a knave.", "solution_text_format": "(1) Joseph is a knave\n(2) Sofia is a knave\n(3) Zoey is a knave\n(4) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Lucas is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Lucas is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Lucas is a knave and Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Zoey is a knight.", "Lucas cannot be a knave, because this would contradict the claim of Joseph that Zoey is a knave if and only if Lucas is a knight.", "We have exhausted all possibilities for Lucas and Zoey, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Lucas is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Lucas is a knave and Lucas is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Lucas is a knave and Lucas is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Joseph that Zoey is a knave if and only if Lucas is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that If Zoey is a knave then Zoey is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that If Zoey is a knave then Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 3)), ('->', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 3), ('telling-truth', 3)), ('telling-truth', 2))", "index": 839}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Lily, Isabella, and James. \"Lily is not a knave,\" Riley declared. Lily was heard saying, \"If Isabella is a knight then James is a knave\". \"Riley is a knave if and only if James is a knave,\" Isabella mentioned. As James put it, \"Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Lily", "Isabella", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Riley is a knight, Lily is a knight, Isabella is a knave, and James is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Lily is a knight\n(3) Isabella is a knave\n(4) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Isabella is a knight then James is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Riley is a knave if and only if James is a knave.", "James cannot be a knight, because this would contradict the claim of Lily that If Isabella is a knight then James is a knave.", "James cannot be a knave, because this would contradict the claim of Isabella that Riley is a knave if and only if James is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Riley is a knave if and only if James is a knave.", "James cannot be a knight, because this would contradict the false claim of Isabella that Riley is a knave if and only if James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('->', ('telling-truth', 2), ('lying', 3)), ('<=>', ('lying', 0), ('lying', 3)), ('telling-truth', 2))", "index": 840}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Logan, Sebastian, and Zoey. Benjamin was heard saying, \"Logan is a knight or Logan is a knave\". Logan commented, \"If Benjamin is a knave then Logan is a knight\". Sebastian expressed that Logan is not a knave. Zoey told you that If Sebastian is a knight then Logan is a knight. So who is a knight and who is a knave?", "names": ["Benjamin", "Logan", "Sebastian", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Benjamin is a knight, Logan is a knight, Sebastian is a knight, and Zoey is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Logan is a knight\n(3) Sebastian is a knight\n(4) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Logan is a knight or Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Benjamin is a knave then Logan is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Logan is not a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Sebastian is a knight then Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 1)), ('not', ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 1)))", "index": 841}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Aiden, Lucas, and Sophia. Jacob noted, \"Lucas is a knight or Sophia is a knight\". Aiden commented, \"Jacob is a knight and Jacob is a knave\". \"Sophia is a knave or Jacob is a knave,\" Lucas claimed. Sophia was heard saying, \"If Jacob is a knave then Lucas is a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Aiden", "Lucas", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Jacob is a knight, Aiden is a knave, Lucas is a knave, and Sophia is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Aiden is a knave\n(3) Lucas is a knave\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Lucas is a knight or Sophia is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Sophia is a knave or Jacob is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Lucas that Sophia is a knave or Jacob is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of their own that If Jacob is a knave then Lucas is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Sophia is a knave or Jacob is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Jacob is a knave then Lucas is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Jacob is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jacob is a knight and Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('lying', 0)), ('or', ('lying', 3), ('lying', 0)), ('->', ('lying', 0), ('lying', 2)))", "index": 842}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jackson, David, Lily, and Grace. Jackson stated, \"If David is a knight then Lily is a knight\". In David's words: \"Lily is a knight\". As Lily put it, \"If Jackson is a knave then Lily is a knight\". \"David is a knave if and only if Jackson is a knave\" - Grace. So who is a knight and who is a knave?", "names": ["Jackson", "David", "Lily", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Jackson is a knight, David is a knight, Lily is a knight, and Grace is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) David is a knight\n(3) Lily is a knight\n(4) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that If David is a knight then Lily is a knight.", "Assume David is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that If Jackson is a knave then Lily is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that David is a knave if and only if Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 2), ('->', ('lying', 0), ('telling-truth', 2)), ('<=>', ('lying', 1), ('lying', 0)))", "index": 843}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Avery, William, and Elizabeth. \"William is a knight and Elizabeth is a knave,\" Scarlett claimed. In Avery's words: \"If William is a knight then Scarlett is a knight\". William said, \"Elizabeth is a knave or Scarlett is a knave.\" As Elizabeth put it, \"William is a knave and Avery is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Avery", "William", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Scarlett is a knight, Avery is a knight, William is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Avery is a knight\n(3) William is a knight\n(4) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that William is a knight and Elizabeth is a knave.", "Assume William is a knight. No contradiction is found in their claim that Elizabeth is a knave or Scarlett is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Scarlett that William is a knight and Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that William is a knave and Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If William is a knight then Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 3)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('lying', 3), ('lying', 0)), ('and', ('lying', 2), ('telling-truth', 1)))", "index": 844}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Emma, Matthew, and Logan. Jacob was heard saying, \"Emma is a knave and Matthew is a knight\". Emma asserted: \"Logan is a knight or Jacob is a knave\". Matthew commented, \"Emma is not a knave\". In a statement by Logan: \"Matthew is a knave if and only if Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Emma", "Matthew", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Jacob is a knave, Emma is a knight, Matthew is a knight, and Logan is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Emma is a knight\n(3) Matthew is a knight\n(4) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Emma is a knave and Matthew is a knight.", "Emma cannot be a knight, because this would contradict the claim of Jacob that Emma is a knave and Matthew is a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Logan is a knight or Jacob is a knave.", "Logan cannot be a knight, because this would contradict the false claim of Emma that Logan is a knight or Jacob is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Jacob is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Emma is not a knave.", "Matthew cannot be a knave, because this would contradict the claim of Jacob that Emma is a knave and Matthew is a knight.", "We have exhausted all possibilities for Matthew, Logan, and Emma, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Emma is a knave and Matthew is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Logan is a knight or Jacob is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Jacob is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Logan that Matthew is a knave if and only if Jacob is a knave.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Emma is not a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Jacob is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Emma is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 3), ('lying', 0)), ('not', ('lying', 1)), ('<=>', ('lying', 2), ('lying', 0)))", "index": 845}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Aurora, Olivia, and Ethan. As Sofia put it, \"Aurora is not a knight\". Aurora was heard saying, \"Olivia is a knight\". Olivia commented, \"Olivia is a knight or Sofia is a knight\". Ethan said that Aurora is a knave or Sofia is a knave. So who is a knight and who is a knave?", "names": ["Sofia", "Aurora", "Olivia", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Sofia is a knave, Aurora is a knight, Olivia is a knight, and Ethan is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Aurora is a knight\n(3) Olivia is a knight\n(4) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Aurora is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of Sofia that Aurora is not a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Aurora that Olivia is a knight.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Olivia is a knight or Sofia is a knight.", "We have exhausted all possibilities for Olivia and Aurora, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight or Sofia is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Aurora is a knave or Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('telling-truth', 2), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('lying', 1), ('lying', 0)))", "index": 846}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Jackson, Henry, and Sofia. \"Henry is a knave if and only if Henry is a knight,\" Charlotte declared. \"Jackson is a knight or Charlotte is a knave\" - Jackson. Henry commented, \"Jackson is a knight or Sofia is a knight\". In a statement by Sofia: \"Henry is a knave if and only if Jackson is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Jackson", "Henry", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Charlotte is a knave, Jackson is a knight, Henry is a knight, and Sofia is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Jackson is a knight\n(3) Henry is a knight\n(4) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Charlotte cannot be a knight, because this would contradict the claim of their own that Henry is a knave if and only if Henry is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Henry is a knave if and only if Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Jackson is a knight or Sofia is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Jackson is a knight or Charlotte is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Henry is a knave if and only if Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('lying', 2), ('lying', 1)))", "index": 847}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Mia, Emily, and Olivia. In Emma's words: \"Olivia is a knave if and only if Emily is a knight\". Mia noted, \"Emily is not a knight\". As Emily put it, \"Mia is a knight if and only if Olivia is a knave\". Olivia expressed that Emma is a knight or Emily is a knave. So who is a knight and who is a knave?", "names": ["Emma", "Mia", "Emily", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Emma is a knight, Mia is a knight, Emily is a knave, and Olivia is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Mia is a knight\n(3) Emily is a knave\n(4) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Emily is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Emma is a knight or Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Emma that Olivia is a knave if and only if Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Olivia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Emily is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 3)), ('or', ('telling-truth', 0), ('lying', 2)))", "index": 848}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, Evelyn, David, and Scarlett. In Abigail's words: \"Scarlett is not a knave\". According to Evelyn, \"Abigail is a knight and David is a knave\". David stated, \"Abigail is a knave or Scarlett is a knave\". Scarlett said, \"If Evelyn is a knight then Scarlett is a knight.\" So who is a knight and who is a knave?", "names": ["Abigail", "Evelyn", "David", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Abigail is a knight, Evelyn is a knight, David is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Evelyn is a knight\n(3) David is a knave\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Scarlett is not a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Evelyn is a knight then Scarlett is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Abigail is a knight and David is a knave.", "David cannot be a knight, because this would contradict the claim of Evelyn that Abigail is a knight and David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Abigail is a knave or Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('and', ('telling-truth', 0), ('lying', 2)), ('or', ('lying', 0), ('lying', 3)), ('->', ('telling-truth', 1), ('telling-truth', 3)))", "index": 849}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Jack, Avery, and David. Aria said, \"Jack is a knight and Jack is a knave.\" \"David is a knight if and only if Aria is a knave,\" Jack mentioned. Avery commented, \"Jack is a knight if and only if Aria is a knave\". \"Jack is a knave or Jack is a knight,\" David declared. So who is a knight and who is a knave?", "names": ["Aria", "Jack", "Avery", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Aria is a knave, Jack is a knight, Avery is a knight, and David is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Jack is a knight\n(3) Avery is a knight\n(4) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Aria cannot be a knight, because this would contradict the claim of their own that Jack is a knight and Jack is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Jack is a knight and Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that David is a knight if and only if Aria is a knave.", "Assume David is a knight. No contradiction is found in their claim that Jack is a knave or Jack is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Jack is a knight if and only if Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 3), ('lying', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('or', ('lying', 1), ('telling-truth', 1)))", "index": 850}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Jackson, Sophia, and Zoey. Mia stated, \"Sophia is a knave if and only if Jackson is a knave\". In Jackson's words: \"Mia is a knave\". Sophia remarked, \"Mia is a knave\". As Zoey put it, \"Jackson is a knave or Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Mia", "Jackson", "Sophia", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Mia is a knight, Jackson is a knave, Sophia is a knave, and Zoey is a knight.", "solution_text_format": "(1) Mia is a knight\n(2) Jackson is a knave\n(3) Sophia is a knave\n(4) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Sophia is a knave if and only if Jackson is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Mia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Mia is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Mia that Sophia is a knave if and only if Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Mia is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Jackson is a knave or Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('lying', 0), ('lying', 0), ('or', ('lying', 1), ('telling-truth', 3)))", "index": 851}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Ava, Penelope, and David. Evelyn told you that Penelope is a knight or David is a knave. Ava commented, \"David is a knave or Evelyn is a knave\". According to Penelope, \"David is a knave or Penelope is a knight\". David told you that If David is a knight then Ava is a knave. So who is a knight and who is a knave?", "names": ["Evelyn", "Ava", "Penelope", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Evelyn is a knight, Ava is a knave, Penelope is a knight, and David is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Ava is a knave\n(3) Penelope is a knight\n(4) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Penelope is a knight or David is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that David is a knave or Penelope is a knight.", "Assume David is a knight. No contradiction is found in their claim that If David is a knight then Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that David is a knave or Evelyn is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that David is a knave or Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 3)), ('or', ('lying', 3), ('lying', 0)), ('or', ('lying', 3), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('lying', 1)))", "index": 852}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Abigail, Jack, and Jackson. According to Samuel, \"Abigail is a knight and Samuel is a knight\". Abigail expressed that Jackson is a knave or Samuel is a knight. \"Abigail is not a knight,\" Jack declared. \"Jack is a knight if and only if Jackson is a knight\" - Jackson. So who is a knight and who is a knave?", "names": ["Samuel", "Abigail", "Jack", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Samuel is a knave, Abigail is a knave, Jack is a knight, and Jackson is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Abigail is a knave\n(3) Jack is a knight\n(4) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Abigail is a knight and Samuel is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Jackson is a knave or Samuel is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Jack is a knight if and only if Jackson is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Abigail is not a knight.", "Jack cannot be a knave, because this would contradict the claim of Jackson that Jack is a knight if and only if Jackson is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Jackson is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Abigail is not a knight.", "Jack cannot be a knave, because this would contradict the false claim of Jackson that Jack is a knight if and only if Jackson is a knight.", "We have exhausted all possibilities for Jack and Jackson, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Samuel that Abigail is a knight and Samuel is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Abigail is a knight and Samuel is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Jackson is a knave or Samuel is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Abigail that Jackson is a knave or Samuel is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Jackson is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Abigail is not a knight.", "Jack cannot be a knave, because this would contradict the false claim of Jackson that Jack is a knight if and only if Jackson is a knight.", "We have exhausted all possibilities for Jack and Jackson, so let us go back and reconsider Abigail.", "Assume Abigail is a knave. No contradiction is found in their false claim that Jackson is a knave or Samuel is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Jack is a knight if and only if Jackson is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Abigail is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('lying', 3), ('telling-truth', 0)), ('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)))", "index": 853}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Isabella, Samuel, and Amelia. \"Isabella is a knave if and only if Amelia is a knave,\" Victoria mentioned. In Isabella's words: \"Samuel is a knight if and only if Amelia is a knight\". Samuel expressed that Amelia is a knave and Isabella is a knave. According to Amelia, \"Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Isabella", "Samuel", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Victoria is a knave, Isabella is a knight, Samuel is a knave, and Amelia is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Isabella is a knight\n(3) Samuel is a knave\n(4) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Amelia is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Amelia is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Isabella is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Amelia is a knave and Isabella is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Isabella that Samuel is a knight if and only if Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the claim of Victoria that Isabella is a knave if and only if Amelia is a knave.", "We have exhausted all possibilities for Amelia and Samuel, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Amelia is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Amelia is a knave and Isabella is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Victoria that Isabella is a knave if and only if Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Amelia is a knave and Isabella is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Victoria that Isabella is a knave if and only if Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of Isabella that Samuel is a knight if and only if Amelia is a knight.", "We have exhausted all possibilities for Amelia, Samuel, and Isabella, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Amelia is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Amelia is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Isabella is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Amelia is a knave and Isabella is a knave.", "Amelia cannot be a knight, because this would contradict the false claim of Victoria that Isabella is a knave if and only if Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('lying', 3), ('lying', 1)), ('telling-truth', 0))", "index": 854}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Mason, Lily, and Ava. According to James, \"Mason is a knight\". \"Lily is a knave if and only if Ava is a knave,\" Mason claimed. Lily asserted: \"Mason is a knight\". As Ava put it, \"James is a knight\". So who is a knight and who is a knave?", "names": ["James", "Mason", "Lily", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "James is a knight, Mason is a knight, Lily is a knight, and Ava is a knight.", "solution_text_format": "(1) James is a knight\n(2) Mason is a knight\n(3) Lily is a knight\n(4) Ava is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Lily is a knave if and only if Ava is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Mason is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that James is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('lying', 2), ('lying', 3)), ('telling-truth', 1), ('telling-truth', 0))", "index": 855}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Elizabeth, William, and Zoey. In a statement by Samuel: \"William is a knave and Zoey is a knight\". Elizabeth remarked, \"Samuel is a knight if and only if William is a knave\". In a statement by William: \"If William is a knight then Zoey is a knight\". Zoey said, \"If Zoey is a knight then Elizabeth is a knight.\" So who is a knight and who is a knave?", "names": ["Samuel", "Elizabeth", "William", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Samuel is a knave, Elizabeth is a knight, William is a knight, and Zoey is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Elizabeth is a knight\n(3) William is a knight\n(4) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that William is a knave and Zoey is a knight.", "William cannot be a knight, because this would contradict the claim of Samuel that William is a knave and Zoey is a knight.", "William cannot be a knave, because this would contradict the false claim of their own that If William is a knight then Zoey is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that William is a knave and Zoey is a knight.", "Assume William is a knight. No contradiction is found in their claim that If William is a knight then Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Zoey is a knight then Elizabeth is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Samuel is a knight if and only if William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 856}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Isabella, Logan, and Liam. \"If Aria is a knight then Isabella is a knight,\" Aria declared. In a statement by Isabella: \"Aria is a knight if and only if Isabella is a knight\". Logan told you that Aria is a knave or Isabella is a knave. \"If Logan is a knight then Liam is a knight,\" Liam mentioned. So who is a knight and who is a knave?", "names": ["Aria", "Isabella", "Logan", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Aria is a knight, Isabella is a knight, Logan is a knave, and Liam is a knight.", "solution_text_format": "(1) Aria is a knight\n(2) Isabella is a knight\n(3) Logan is a knave\n(4) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that If Aria is a knight then Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Aria is a knight if and only if Isabella is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Aria is a knave or Isabella is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Aria is a knave or Isabella is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Logan is a knight then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 0), ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 3)))", "index": 857}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Lily, Chloe, and Michael. Penelope said, \"Lily is a knave.\" Lily stated, \"Chloe is a knave or Michael is a knave\". Chloe noted, \"Lily is a knight if and only if Lily is a knave\". According to Michael, \"If Lily is a knave then Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Penelope", "Lily", "Chloe", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Penelope is a knave, Lily is a knight, Chloe is a knave, and Michael is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Lily is a knight\n(3) Chloe is a knave\n(4) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Penelope that Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Chloe is a knave or Michael is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Lily is a knight if and only if Lily is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of Lily that Chloe is a knave or Michael is a knave.", "We have exhausted all possibilities for Chloe and Lily, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Lily is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Chloe is a knave or Michael is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that Lily is a knight if and only if Lily is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Lily is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Lily is a knave then Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('or', ('lying', 2), ('lying', 3)), ('<=>', ('telling-truth', 1), ('lying', 1)), ('->', ('lying', 1), ('telling-truth', 2)))", "index": 858}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Olivia, Lily, and Charlotte. David asserted: \"If Olivia is a knight then Olivia is a knave\". In Olivia's words: \"Lily is not a knight\". Lily noted, \"Olivia is a knave and Charlotte is a knight\". \"If Olivia is a knave then Olivia is a knight,\" Charlotte mentioned. So who is a knight and who is a knave?", "names": ["David", "Olivia", "Lily", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "David is a knave, Olivia is a knight, Lily is a knave, and Charlotte is a knight.", "solution_text_format": "(1) David is a knave\n(2) Olivia is a knight\n(3) Lily is a knave\n(4) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that If Olivia is a knight then Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of David that If Olivia is a knight then Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Lily is not a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Olivia is a knave and Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that If Olivia is a knave then Olivia is a knight.", "Charlotte cannot be a knave, because this would contradict the claim of Lily that Olivia is a knave and Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the false claim of Olivia that Lily is not a knight.", "We have exhausted all possibilities for Lily and Olivia, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that If Olivia is a knight then Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Olivia that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Olivia is a knave and Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Olivia is a knave then Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('not', ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 3)), ('->', ('lying', 1), ('telling-truth', 1)))", "index": 859}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Jacob, Ethan, and Olivia. According to Victoria, \"Olivia is a knave\". Jacob asserted: \"Victoria is a knave and Ethan is a knight\". Ethan expressed that If Jacob is a knave then Victoria is a knight. Olivia remarked, \"Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "Jacob", "Ethan", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Victoria is a knave, Jacob is a knave, Ethan is a knave, and Olivia is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Jacob is a knave\n(3) Ethan is a knave\n(4) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Victoria that Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Ethan is a knight.", "Jacob cannot be a knave, because this would contradict the false claim of Olivia that Jacob is a knave.", "We have exhausted all possibilities for Jacob and Olivia, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Olivia that Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Victoria is a knave and Ethan is a knight.", "Ethan cannot be a knight, because this would contradict the false claim of Jacob that Victoria is a knave and Ethan is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Jacob is a knave then Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('and', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 0)), ('lying', 1))", "index": 860}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Oliver, Joseph, and Aiden. William asserted: \"Joseph is a knave if and only if Oliver is a knave\". Oliver stated, \"Aiden is a knight\". Joseph commented, \"William is not a knight\". \"Oliver is a knight if and only if William is a knave,\" Aiden claimed. So who is a knight and who is a knave?", "names": ["William", "Oliver", "Joseph", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "William is a knave, Oliver is a knave, Joseph is a knight, and Aiden is a knave.", "solution_text_format": "(1) William is a knave\n(2) Oliver is a knave\n(3) Joseph is a knight\n(4) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Joseph is a knave if and only if Oliver is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that William is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that William is not a knight.", "Oliver cannot be a knight, because this would contradict the claim of William that Joseph is a knave if and only if Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Oliver that Aiden is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that Oliver is a knight if and only if William is a knave.", "We have exhausted all possibilities for Aiden, Oliver, and Joseph, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Joseph is a knave if and only if Oliver is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that William is not a knight.", "Oliver cannot be a knight, because this would contradict the false claim of William that Joseph is a knave if and only if Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Oliver that Aiden is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('telling-truth', 3), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 861}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Zoey, Mason, and David. \"Zoey is a knight if and only if Mason is a knight,\" Oliver declared. \"Oliver is a knave and Mason is a knave,\" Zoey mentioned. Mason told you that Oliver is a knave and David is a knave. According to David, \"David is a knight if and only if Mason is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Zoey", "Mason", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Oliver is a knave, Zoey is a knave, Mason is a knight, and David is a knave.", "solution_text_format": "(1) Oliver is a knave\n(2) Zoey is a knave\n(3) Mason is a knight\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Mason is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Oliver is a knave and Mason is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Oliver is a knave and Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Oliver that Zoey is a knight if and only if Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Oliver is a knave and David is a knave.", "David cannot be a knight, because this would contradict the claim of their own that David is a knight if and only if Mason is a knight.", "David cannot be a knave, because this would contradict the false claim of their own that David is a knight if and only if Mason is a knight.", "We have exhausted all possibilities for David, Mason, and Zoey, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Mason is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Oliver is a knave and Mason is a knave.", "Mason cannot be a knight, because this would contradict the false claim of Oliver that Zoey is a knight if and only if Mason is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Oliver is a knave and David is a knave.", "David cannot be a knight, because this would contradict the claim of their own that David is a knight if and only if Mason is a knight.", "David cannot be a knave, because this would contradict the false claim of Mason that Oliver is a knave and David is a knave.", "We have exhausted all possibilities for David and Mason, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Oliver is a knave and Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Oliver is a knave and David is a knave.", "David cannot be a knight, because this would contradict the claim of Mason that Oliver is a knave and David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight if and only if Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('lying', 0), ('lying', 2)), ('and', ('lying', 0), ('lying', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)))", "index": 862}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Ethan, Mason, and Scarlett. According to Chloe, \"Scarlett is a knave or Scarlett is a knight\". \"Scarlett is a knave,\" Ethan mentioned. Mason remarked, \"Scarlett is a knave\". As Scarlett put it, \"Ethan is a knave and Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Ethan", "Mason", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Chloe is a knight, Ethan is a knight, Mason is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Ethan is a knight\n(3) Mason is a knight\n(4) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Scarlett is a knave or Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Ethan is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Ethan is a knave and Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 3)), ('lying', 3), ('lying', 3), ('and', ('lying', 1), ('telling-truth', 1)))", "index": 863}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Ethan, Charlotte, and Zoey. Michael said, \"Michael is a knight and Ethan is a knave.\" Ethan said, \"Michael is a knight.\" \"Ethan is not a knight,\" Charlotte claimed. \"Ethan is a knight and Ethan is a knave\" - Zoey. So who is a knight and who is a knave?", "names": ["Michael", "Ethan", "Charlotte", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Michael is a knave, Ethan is a knave, Charlotte is a knight, and Zoey is a knave.", "solution_text_format": "(1) Michael is a knave\n(2) Ethan is a knave\n(3) Charlotte is a knight\n(4) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight and Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Michael that Michael is a knight and Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Michael is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Michael is a knight and Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Michael is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Michael is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Ethan is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Ethan is a knight and Ethan is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Ethan is a knight and Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 0), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 1)))", "index": 864}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Riley, Avery, and Jack. Daniel stated, \"Jack is a knight and Daniel is a knight\". Riley asserted: \"Avery is a knave or Jack is a knight\". Avery remarked, \"Daniel is not a knave\". \"Riley is a knave and Daniel is a knight,\" Jack mentioned. So who is a knight and who is a knave?", "names": ["Daniel", "Riley", "Avery", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Daniel is a knave, Riley is a knight, Avery is a knave, and Jack is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Riley is a knight\n(3) Avery is a knave\n(4) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Jack is a knight and Daniel is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Riley is a knave and Daniel is a knight.", "Riley cannot be a knight, because this would contradict the claim of Jack that Riley is a knave and Daniel is a knight.", "Riley cannot be a knave, because this would contradict the false claim of their own that Avery is a knave or Jack is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Jack.", "Jack cannot be a knave, because this would contradict the claim of Daniel that Jack is a knight and Daniel is a knight.", "We have exhausted all possibilities for Jack, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Jack is a knight and Daniel is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Riley is a knave and Daniel is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Riley is a knave and Daniel is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Avery is a knave or Jack is a knight.", "Avery cannot be a knight, because this would contradict the claim of Riley that Avery is a knave or Jack is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Daniel is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 2), ('telling-truth', 3)), ('not', ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 0)))", "index": 865}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Zoey, David, and Matthew. \"David is a knave or Zoey is a knight\" - Amelia. According to Zoey, \"Matthew is a knight or Amelia is a knight\". David said that Zoey is a knave or Amelia is a knight. As Matthew put it, \"Zoey is not a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Zoey", "David", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Amelia is a knight, Zoey is a knight, David is a knight, and Matthew is a knave.", "solution_text_format": "(1) Amelia is a knight\n(2) Zoey is a knight\n(3) David is a knight\n(4) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that David is a knave or Zoey is a knight.", "Assume David is a knight. No contradiction is found in their claim that Zoey is a knave or Amelia is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Matthew is a knight or Amelia is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Zoey is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Zoey is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 1), ('telling-truth', 0)), ('not', ('telling-truth', 1)))", "index": 866}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Daniel, Aurora, and Alexander. Ethan was heard saying, \"Daniel is a knight and Daniel is a knave\". Daniel was heard saying, \"Alexander is a knave or Alexander is a knight\". In Aurora's words: \"Daniel is not a knight\". \"Aurora is a knave,\" Alexander claimed. So who is a knight and who is a knave?", "names": ["Ethan", "Daniel", "Aurora", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Ethan is a knave, Daniel is a knight, Aurora is a knave, and Alexander is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Daniel is a knight\n(3) Aurora is a knave\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Ethan cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and Daniel is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Daniel is a knight and Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Alexander is a knave or Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Daniel is not a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Daniel is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('or', ('lying', 3), ('telling-truth', 3)), ('not', ('telling-truth', 1)), ('lying', 2))", "index": 867}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Emma, Jacob, and Mason. Liam asserted: \"Jacob is a knight or Jacob is a knave\". \"If Mason is a knave then Mason is a knight,\" Emma claimed. Jacob remarked, \"Mason is a knave or Emma is a knight\". Mason commented, \"Emma is a knave or Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Emma", "Jacob", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Liam is a knight, Emma is a knight, Jacob is a knight, and Mason is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Emma is a knight\n(3) Jacob is a knight\n(4) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Jacob is a knight or Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Mason is a knave or Emma is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Emma is a knave or Jacob is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Mason is a knave then Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 1)), ('or', ('lying', 1), ('telling-truth', 2)))", "index": 868}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aurora, Jackson, Daniel, and Scarlett. Aurora expressed that Jackson is a knight. Jackson commented, \"Scarlett is a knave if and only if Aurora is a knave\". Daniel remarked, \"Jackson is a knight or Scarlett is a knave\". According to Scarlett, \"If Aurora is a knight then Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Jackson", "Daniel", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Aurora is a knave, Jackson is a knave, Daniel is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Jackson is a knave\n(3) Daniel is a knave\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Aurora is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that If Aurora is a knight then Aurora is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Jackson that Scarlett is a knave if and only if Aurora is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Aurora that Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Aurora that Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Aurora is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Aurora is a knight then Aurora is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Jackson is a knight or Scarlett is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Jackson is a knight or Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('lying', 3), ('lying', 0)), ('or', ('telling-truth', 1), ('lying', 3)), ('->', ('telling-truth', 0), ('lying', 0)))", "index": 869}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Scarlett, Oliver, and Jack. \"If Oliver is a knight then Scarlett is a knight,\" Ethan claimed. Scarlett was heard saying, \"Oliver is a knight if and only if Jack is a knave\". In Oliver's words: \"Scarlett is not a knight\". Jack asserted: \"Ethan is not a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Scarlett", "Oliver", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Ethan is a knight, Scarlett is a knight, Oliver is a knave, and Jack is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Scarlett is a knight\n(3) Oliver is a knave\n(4) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that If Oliver is a knight then Scarlett is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Scarlett is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Oliver that Scarlett is not a knight.", "Scarlett cannot be a knave, because this would contradict the claim of Ethan that If Oliver is a knight then Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Jack is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Ethan is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('not', ('telling-truth', 1)), ('not', ('lying', 0)))", "index": 870}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Mason, Logan, and Elizabeth. \"Mason is a knight or Elizabeth is a knave,\" Luke mentioned. \"Logan is a knight\" - Mason. \"Luke is a knave and Logan is a knight,\" Logan declared. Elizabeth commented, \"Mason is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "Mason", "Logan", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Luke is a knave, Mason is a knave, Logan is a knave, and Elizabeth is a knight.", "solution_text_format": "(1) Luke is a knave\n(2) Mason is a knave\n(3) Logan is a knave\n(4) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Mason is a knight or Elizabeth is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Logan is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Luke is a knave and Logan is a knight.", "Logan cannot be a knave, because this would contradict the claim of Mason that Logan is a knight.", "We have exhausted all possibilities for Logan, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Logan is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Mason that Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Luke is a knave and Logan is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Luke that Mason is a knight or Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Mason is a knave.", "We have exhausted all possibilities for Elizabeth, Logan, and Mason, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Mason is a knight or Elizabeth is a knave.", "Mason cannot be a knight, because this would contradict the false claim of Luke that Mason is a knight or Elizabeth is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Logan is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Mason that Logan is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Luke is a knave and Logan is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 3)), ('telling-truth', 2), ('and', ('lying', 0), ('telling-truth', 2)), ('lying', 1))", "index": 871}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Henry, Emily, and Benjamin. Daniel asserted: \"Daniel is a knight and Emily is a knight\". Henry asserted: \"Emily is a knight and Emily is a knave\". Emily said that Daniel is not a knight. Benjamin expressed that Henry is not a knave. So who is a knight and who is a knave?", "names": ["Daniel", "Henry", "Emily", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Daniel is a knave, Henry is a knave, Emily is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Henry is a knave\n(3) Emily is a knight\n(4) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Daniel is a knight and Emily is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Daniel is not a knight.", "Emily cannot be a knave, because this would contradict the claim of Daniel that Daniel is a knight and Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Daniel is a knight and Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Daniel is not a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Emily is a knight and Emily is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Emily is a knight and Emily is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Henry is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Henry is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 2), ('lying', 2)), ('not', ('telling-truth', 0)), ('not', ('lying', 1)))", "index": 872}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Jackson, Henry, and Mia. In a statement by William: \"Jackson is a knave and Jackson is a knight\". \"Mia is a knight or William is a knight\" - Jackson. Henry was heard saying, \"Mia is a knave\". Mia noted, \"Henry is a knight and William is a knight\". So who is a knight and who is a knave?", "names": ["William", "Jackson", "Henry", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "William is a knave, Jackson is a knave, Henry is a knight, and Mia is a knave.", "solution_text_format": "(1) William is a knave\n(2) Jackson is a knave\n(3) Henry is a knight\n(4) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["William cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Jackson is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Jackson is a knave and Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Mia is a knight or William is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Henry is a knight and William is a knight.", "Mia cannot be a knave, because this would contradict the claim of Jackson that Mia is a knight or William is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Mia is a knight or William is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Jackson that Mia is a knight or William is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Henry is a knight and William is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 3), ('and', ('telling-truth', 2), ('telling-truth', 0)))", "index": 873}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Aurora, Emily, and Mia. Samuel asserted: \"If Emily is a knight then Mia is a knave\". Aurora said, \"Samuel is a knave.\" Emily stated, \"Aurora is a knight\". As Mia put it, \"Samuel is not a knave\". So who is a knight and who is a knave?", "names": ["Samuel", "Aurora", "Emily", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Samuel is a knight, Aurora is a knave, Emily is a knave, and Mia is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Aurora is a knave\n(3) Emily is a knave\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that If Emily is a knight then Mia is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Samuel is a knave.", "Aurora cannot be a knave, because this would contradict the claim of Emily that Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Samuel is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Samuel is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Samuel is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 3)), ('lying', 0), ('telling-truth', 1), ('not', ('lying', 0)))", "index": 874}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Henry, William, and James. In Mia's words: \"If William is a knight then Henry is a knave\". Henry said that William is a knave or Henry is a knight. \"If Henry is a knave then Henry is a knight\" - William. In James's words: \"If William is a knave then Mia is a knave\". So who is a knight and who is a knave?", "names": ["Mia", "Henry", "William", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Mia is a knave, Henry is a knight, William is a knight, and James is a knight.", "solution_text_format": "(1) Mia is a knave\n(2) Henry is a knight\n(3) William is a knight\n(4) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that If William is a knight then Henry is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Henry is a knave then Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of Mia that If William is a knight then Henry is a knave.", "Henry cannot be a knave, because this would contradict the claim of William that If Henry is a knave then Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that If Henry is a knave then Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of William that If Henry is a knave then Henry is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that William is a knave or Henry is a knight.", "We have exhausted all possibilities for Henry and William, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that If William is a knight then Henry is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Henry is a knave then Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that William is a knave or Henry is a knight.", "Assume James is a knight. No contradiction is found in their claim that If William is a knave then Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 1)), ('->', ('lying', 2), ('lying', 0)))", "index": 875}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Aurora, Mason, and Chloe. Emily said that If Emily is a knight then Mason is a knight. \"Emily is a knight and Mason is a knight,\" Aurora claimed. Mason said that Emily is a knight. Chloe expressed that Aurora is not a knave. So who is a knight and who is a knave?", "names": ["Emily", "Aurora", "Mason", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Emily is a knight, Aurora is a knight, Mason is a knight, and Chloe is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Aurora is a knight\n(3) Mason is a knight\n(4) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that If Emily is a knight then Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Emily is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Emily is a knight and Mason is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Aurora is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 0), ('not', ('lying', 1)))", "index": 876}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Daniel, Sofia, and Scarlett. In Aria's words: \"Sofia is a knight if and only if Sofia is a knave\". According to Daniel, \"If Aria is a knave then Scarlett is a knave\". Sofia was heard saying, \"Scarlett is a knave if and only if Aria is a knave\". In a statement by Scarlett: \"Daniel is a knight or Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Daniel", "Sofia", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Aria is a knave, Daniel is a knave, Sofia is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Aria is a knave\n(2) Daniel is a knave\n(3) Sofia is a knave\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Aria cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Sofia is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Aria is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Sofia that Scarlett is a knave if and only if Aria is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Daniel is a knight or Scarlett is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Scarlett that Daniel is a knight or Scarlett is a knight.", "Daniel cannot be a knave, because this would contradict the false claim of their own that If Aria is a knave then Scarlett is a knave.", "We have exhausted all possibilities for Daniel and Scarlett, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Aria is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Daniel is a knight or Scarlett is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that If Aria is a knave then Scarlett is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Aria is a knave then Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('->', ('lying', 0), ('lying', 3)), ('<=>', ('lying', 3), ('lying', 0)), ('or', ('telling-truth', 1), ('telling-truth', 3)))", "index": 877}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Aria, Abigail, and Scarlett. Ava asserted: \"Aria is a knave or Scarlett is a knight\". Aria said that Scarlett is a knave. Abigail told you that If Scarlett is a knave then Aria is a knave. Scarlett was heard saying, \"Abigail is a knight and Aria is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Aria", "Abigail", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Ava is a knave, Aria is a knight, Abigail is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Ava is a knave\n(2) Aria is a knight\n(3) Abigail is a knave\n(4) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Aria is a knave or Scarlett is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Aria that Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Ava that Aria is a knave or Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Abigail is a knight and Aria is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of Aria that Scarlett is a knave.", "We have exhausted all possibilities for Scarlett and Aria, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Aria is a knave or Scarlett is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Ava that Aria is a knave or Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Abigail is a knight and Aria is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that If Scarlett is a knave then Aria is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that If Scarlett is a knave then Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 3)), ('lying', 3), ('->', ('lying', 3), ('lying', 1)), ('and', ('telling-truth', 2), ('telling-truth', 1)))", "index": 878}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Aria, Alexander, and Abigail. \"Abigail is a knight,\" Emily mentioned. Aria asserted: \"Alexander is not a knight\". Alexander commented, \"Emily is a knight or Emily is a knave\". \"If Aria is a knight then Alexander is a knight,\" Abigail claimed. So who is a knight and who is a knave?", "names": ["Emily", "Aria", "Alexander", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Emily is a knight, Aria is a knave, Alexander is a knight, and Abigail is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Aria is a knave\n(3) Alexander is a knight\n(4) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Aria is a knight then Alexander is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Aria that Alexander is not a knight.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Emily is a knight or Emily is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Emily is a knight or Emily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 1), ('telling-truth', 2)))", "index": 879}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Oliver, Benjamin, and William. Victoria stated, \"Oliver is a knight\". Oliver told you that William is a knight or Victoria is a knight. According to Benjamin, \"William is a knave\". William said that Benjamin is a knave if and only if Victoria is a knave. So who is a knight and who is a knave?", "names": ["Victoria", "Oliver", "Benjamin", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Victoria is a knave, Oliver is a knave, Benjamin is a knight, and William is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Oliver is a knave\n(3) Benjamin is a knight\n(4) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Oliver is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that William is a knight or Victoria is a knight.", "Assume William is a knight. No contradiction is found in their claim that Benjamin is a knave if and only if Victoria is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Benjamin cannot be a knave, because this would contradict the claim of William that Benjamin is a knave if and only if Victoria is a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Victoria is a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of William that Benjamin is a knave if and only if Victoria is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that William is a knave.", "We have exhausted all possibilities for Benjamin and William, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Victoria that Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Victoria that Oliver is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that William is a knight or Victoria is a knight.", "William cannot be a knight, because this would contradict the false claim of Oliver that William is a knight or Victoria is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Benjamin is a knave if and only if Victoria is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 3), ('<=>', ('lying', 2), ('lying', 0)))", "index": 880}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Elizabeth, Samuel, and Michael. Emily said, \"Michael is a knave or Elizabeth is a knave.\" \"If Emily is a knave then Elizabeth is a knight,\" Elizabeth declared. Samuel said that If Michael is a knave then Elizabeth is a knight. In a statement by Michael: \"Elizabeth is a knight if and only if Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Elizabeth", "Samuel", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Emily is a knave, Elizabeth is a knight, Samuel is a knight, and Michael is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Elizabeth is a knight\n(3) Samuel is a knight\n(4) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Michael is a knave or Elizabeth is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Samuel is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Emily that Michael is a knave or Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Emily is a knave then Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Samuel is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Emily is a knave then Elizabeth is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Michael that Elizabeth is a knight if and only if Samuel is a knight.", "Samuel cannot be a knave, because this would contradict the false claim of their own that If Michael is a knave then Elizabeth is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Emily is a knave then Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth and Michael, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Michael is a knave or Elizabeth is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Samuel is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Emily is a knave then Elizabeth is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that If Michael is a knave then Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "index": 881}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Ethan, Samuel, and Noah. In a statement by Emma: \"Ethan is not a knave\". Ethan commented, \"If Samuel is a knave then Ethan is a knight\". Samuel said that Emma is a knave or Ethan is a knave. \"Samuel is not a knave,\" Noah mentioned. So who is a knight and who is a knave?", "names": ["Emma", "Ethan", "Samuel", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Emma is a knight, Ethan is a knight, Samuel is a knave, and Noah is a knave.", "solution_text_format": "(1) Emma is a knight\n(2) Ethan is a knight\n(3) Samuel is a knave\n(4) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Ethan is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Samuel is a knave then Ethan is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Emma is a knave or Ethan is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Emma is a knave or Ethan is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Samuel is not a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Samuel is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('->', ('lying', 2), ('telling-truth', 1)), ('or', ('lying', 0), ('lying', 1)), ('not', ('lying', 2)))", "index": 882}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Isabella, Harper, and Jackson. Sofia remarked, \"Jackson is a knight if and only if Harper is a knave\". Isabella said, \"Jackson is a knave or Harper is a knave.\" Harper noted, \"Harper is a knight and Sofia is a knave\". Jackson said, \"Isabella is a knave if and only if Jackson is a knight.\" So who is a knight and who is a knave?", "names": ["Sofia", "Isabella", "Harper", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Sofia is a knave, Isabella is a knave, Harper is a knight, and Jackson is a knight.", "solution_text_format": "(1) Sofia is a knave\n(2) Isabella is a knave\n(3) Harper is a knight\n(4) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Harper is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Jackson is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Jackson that Isabella is a knave if and only if Jackson is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Jackson is a knave or Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Sofia that Jackson is a knight if and only if Harper is a knave.", "Harper cannot be a knave, because this would contradict the false claim of Isabella that Jackson is a knave or Harper is a knave.", "We have exhausted all possibilities for Harper and Isabella, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Jackson is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Jackson that Isabella is a knave if and only if Jackson is a knight.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Jackson is a knave or Harper is a knave.", "We have exhausted all possibilities for Isabella and Jackson, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Harper is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Jackson is a knight.", "Isabella cannot be a knight, because this would contradict the claim of Jackson that Isabella is a knave if and only if Jackson is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Jackson is a knave or Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Harper is a knight and Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('or', ('lying', 3), ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 3)))", "index": 883}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Lucas, Grace, and Abigail. Isabella said, \"Grace is not a knight.\" Lucas stated, \"Isabella is a knight\". \"Isabella is a knight or Isabella is a knave,\" Grace mentioned. \"Lucas is a knave if and only if Lucas is a knight,\" Abigail mentioned. So who is a knight and who is a knave?", "names": ["Isabella", "Lucas", "Grace", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Isabella is a knave, Lucas is a knave, Grace is a knight, and Abigail is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) Lucas is a knave\n(3) Grace is a knight\n(4) Abigail is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of Isabella that Grace is not a knight.", "Grace cannot be a knave, because this would contradict the false claim of their own that Isabella is a knight or Isabella is a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Isabella is a knight or Isabella is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Isabella is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Abigail cannot be a knight, because this would contradict the claim of their own that Lucas is a knave if and only if Lucas is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Lucas is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('telling-truth', 0), ('or', ('telling-truth', 0), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 1)))", "index": 884}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Jack, Harper, and Aria. Ethan told you that Jack is not a knave. Jack stated, \"Harper is not a knight\". Harper said, \"Aria is a knave and Aria is a knight.\" Aria told you that Harper is not a knave. So who is a knight and who is a knave?", "names": ["Ethan", "Jack", "Harper", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Ethan is a knight, Jack is a knight, Harper is a knave, and Aria is a knave.", "solution_text_format": "(1) Ethan is a knight\n(2) Jack is a knight\n(3) Harper is a knave\n(4) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Jack is not a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Harper is not a knight.", "Harper cannot be a knight, because this would contradict the claim of Jack that Harper is not a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Aria is a knave and Aria is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Harper is not a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Harper is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('not', ('telling-truth', 2)), ('and', ('lying', 3), ('telling-truth', 3)), ('not', ('lying', 2)))", "index": 885}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Jacob, Olivia, and Lily. Chloe commented, \"Lily is a knave and Lily is a knight\". Jacob noted, \"Lily is a knave\". Olivia stated, \"Jacob is a knight and Lily is a knight\". Lily remarked, \"Jacob is a knave or Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Jacob", "Olivia", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Chloe is a knave, Jacob is a knave, Olivia is a knave, and Lily is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Jacob is a knave\n(3) Olivia is a knave\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Chloe cannot be a knight, because this would contradict the claim of their own that Lily is a knave and Lily is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Lily is a knave and Lily is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Jacob is a knave or Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Lily is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Lily is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Lily is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Jacob is a knight and Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 3)), ('lying', 3), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('lying', 1), ('telling-truth', 1)))", "index": 886}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Sofia, Daniel, and James. Mia said that If Sofia is a knight then Sofia is a knave. Sofia noted, \"Mia is a knight and Sofia is a knight\". Daniel stated, \"Mia is a knave and Sofia is a knight\". James said, \"Mia is a knave.\" So who is a knight and who is a knave?", "names": ["Mia", "Sofia", "Daniel", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Mia is a knight, Sofia is a knave, Daniel is a knave, and James is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Sofia is a knave\n(3) Daniel is a knave\n(4) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that If Sofia is a knight then Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Mia that If Sofia is a knight then Sofia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Mia is a knight and Sofia is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Sofia is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Mia is a knave and Sofia is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Mia is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 1)), ('lying', 0))", "index": 887}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Logan, Elizabeth, and Sophia. Scarlett said, \"Sophia is a knight and Elizabeth is a knight.\" Logan noted, \"Elizabeth is a knave if and only if Sophia is a knight\". Elizabeth said that If Scarlett is a knave then Sophia is a knight. In Sophia's words: \"Scarlett is a knave or Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Logan", "Elizabeth", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Scarlett is a knight, Logan is a knave, Elizabeth is a knight, and Sophia is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Logan is a knave\n(3) Elizabeth is a knight\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Sophia is a knight and Elizabeth is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Scarlett is a knave or Sophia is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Scarlett is a knave then Sophia is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave if and only if Sophia is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Elizabeth is a knave if and only if Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('lying', 2), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 3)), ('or', ('lying', 0), ('telling-truth', 3)))", "index": 888}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Riley, Amelia, and James. In a statement by Joseph: \"Riley is a knave or James is a knave\". In a statement by Riley: \"Amelia is a knave or James is a knight\". Amelia was heard saying, \"James is a knave and Amelia is a knight\". James said that If James is a knight then Joseph is a knave. So who is a knight and who is a knave?", "names": ["Joseph", "Riley", "Amelia", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Joseph is a knave, Riley is a knight, Amelia is a knave, and James is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Riley is a knight\n(3) Amelia is a knave\n(4) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Riley is a knave or James is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Amelia is a knave or James is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that James is a knave and Amelia is a knight.", "James cannot be a knight, because this would contradict the claim of Joseph that Riley is a knave or James is a knave.", "James cannot be a knave, because this would contradict the claim of Riley that Amelia is a knave or James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that James is a knave and Amelia is a knight.", "James cannot be a knight, because this would contradict the claim of Joseph that Riley is a knave or James is a knave.", "James cannot be a knave, because this would contradict the false claim of their own that If James is a knight then Joseph is a knave.", "We have exhausted all possibilities for James and Amelia, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Amelia is a knave or James is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that James is a knave and Amelia is a knight.", "James cannot be a knight, because this would contradict the false claim of Riley that Amelia is a knave or James is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that If James is a knight then Joseph is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the false claim of Riley that Amelia is a knave or James is a knight.", "We have exhausted all possibilities for Amelia and Riley, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Riley is a knave or James is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Amelia is a knave or James is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that James is a knave and Amelia is a knight.", "James cannot be a knight, because this would contradict the claim of Amelia that James is a knave and Amelia is a knight.", "James cannot be a knave, because this would contradict the false claim of Joseph that Riley is a knave or James is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that James is a knave and Amelia is a knight.", "Assume James is a knight. No contradiction is found in their claim that If James is a knight then Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('or', ('lying', 2), ('telling-truth', 3)), ('and', ('lying', 3), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('lying', 0)))", "index": 889}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Alexander, Liam, and Sebastian. \"Alexander is a knight and Liam is a knave\" - Amelia. \"Liam is a knight if and only if Sebastian is a knight,\" Alexander declared. As Liam put it, \"If Amelia is a knave then Amelia is a knight\". \"If Amelia is a knight then Liam is a knight,\" Sebastian claimed. So who is a knight and who is a knave?", "names": ["Amelia", "Alexander", "Liam", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Amelia is a knave, Alexander is a knave, Liam is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Amelia is a knave\n(2) Alexander is a knave\n(3) Liam is a knave\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Alexander is a knight and Liam is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Liam is a knight if and only if Sebastian is a knight.", "Liam cannot be a knight, because this would contradict the claim of Amelia that Alexander is a knight and Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that If Amelia is a knave then Amelia is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Amelia that Alexander is a knight and Liam is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Alexander is a knight and Liam is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Liam is a knight if and only if Sebastian is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that If Amelia is a knave then Amelia is a knight.", "Liam cannot be a knave, because this would contradict the false claim of Amelia that Alexander is a knight and Liam is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Sebastian is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that If Amelia is a knave then Amelia is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that If Amelia is a knave then Amelia is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Amelia is a knight then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "index": 890}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Chloe, Alexander, and Victoria. \"Victoria is a knight if and only if Alexander is a knave,\" Lily mentioned. \"Victoria is a knave if and only if Alexander is a knave,\" Chloe declared. \"Victoria is a knight and Victoria is a knave,\" Alexander mentioned. Victoria expressed that Lily is a knight if and only if Chloe is a knight. So who is a knight and who is a knave?", "names": ["Lily", "Chloe", "Alexander", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Lily is a knave, Chloe is a knight, Alexander is a knave, and Victoria is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Chloe is a knight\n(3) Alexander is a knave\n(4) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Alexander is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Lily is a knight if and only if Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Lily that Victoria is a knight if and only if Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Chloe that Victoria is a knave if and only if Alexander is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the claim of Victoria that Lily is a knight if and only if Chloe is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Victoria that Lily is a knight if and only if Chloe is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Victoria is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Lily that Victoria is a knight if and only if Alexander is a knave.", "We have exhausted all possibilities for Alexander, Chloe, and Victoria, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Alexander is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Lily is a knight if and only if Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Victoria that Lily is a knight if and only if Chloe is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Chloe that Victoria is a knave if and only if Alexander is a knave.", "Alexander cannot be a knave, because this would contradict the false claim of Lily that Victoria is a knight if and only if Alexander is a knave.", "We have exhausted all possibilities for Alexander and Chloe, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Lily is a knight if and only if Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Lily that Victoria is a knight if and only if Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Victoria is a knight and Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('<=>', ('lying', 3), ('lying', 2)), ('and', ('telling-truth', 3), ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 891}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Benjamin, Matthew, and Alexander. Grace stated, \"Benjamin is not a knave\". In a statement by Benjamin: \"Alexander is a knight or Grace is a knave\". Matthew was heard saying, \"Alexander is not a knave\". Alexander was heard saying, \"Grace is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Benjamin", "Matthew", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Grace is a knight, Benjamin is a knight, Matthew is a knight, and Alexander is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Benjamin is a knight\n(3) Matthew is a knight\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Alexander is a knight or Grace is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Grace is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Alexander is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 3), ('lying', 0)), ('not', ('lying', 3)), ('telling-truth', 0))", "index": 892}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Joseph, Zoey, and Jack. Jacob was heard saying, \"Joseph is a knight if and only if Joseph is a knave\". In a statement by Joseph: \"Jacob is a knave and Jack is a knight\". Zoey asserted: \"Joseph is a knave and Jacob is a knight\". Jack asserted: \"Zoey is a knave if and only if Jacob is a knave\". So who is a knight and who is a knave?", "names": ["Jacob", "Joseph", "Zoey", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Jacob is a knave, Joseph is a knight, Zoey is a knave, and Jack is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Joseph is a knight\n(3) Zoey is a knave\n(4) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Jacob cannot be a knight, because this would contradict the claim of their own that Joseph is a knight if and only if Joseph is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Jacob is a knave and Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Jacob is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and Jacob is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Joseph is a knave and Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 3)), ('and', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 2), ('lying', 0)))", "index": 893}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Michael, Sophia, and Chloe. \"Sophia is a knight,\" Jack declared. Michael said that Jack is a knight and Michael is a knight. According to Sophia, \"If Sophia is a knight then Michael is a knight\". In a statement by Chloe: \"Michael is a knight and Michael is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Michael", "Sophia", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Jack is a knight, Michael is a knight, Sophia is a knight, and Chloe is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Michael is a knight\n(3) Sophia is a knight\n(4) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that If Sophia is a knight then Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Jack is a knight and Michael is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Michael is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Michael is a knight and Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 1)))", "index": 894}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Charlotte, Logan, and Riley. Samuel said that Riley is a knave. Charlotte said that Riley is not a knave. Logan noted, \"Charlotte is a knight\". Riley remarked, \"Charlotte is a knave and Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Charlotte", "Logan", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Samuel is a knight, Charlotte is a knave, Logan is a knave, and Riley is a knave.", "solution_text_format": "(1) Samuel is a knight\n(2) Charlotte is a knave\n(3) Logan is a knave\n(4) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Samuel that Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Charlotte is a knave and Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Riley is not a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Riley is not a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('not', ('lying', 3)), ('telling-truth', 1), ('and', ('lying', 1), ('telling-truth', 1)))", "index": 895}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Isabella, Liam, and Luke. \"Aiden is a knight or Liam is a knave\" - Aiden. \"Aiden is a knight\" - Isabella. Liam commented, \"If Aiden is a knave then Luke is a knight\". \"Aiden is a knight\" - Luke. So who is a knight and who is a knave?", "names": ["Aiden", "Isabella", "Liam", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Aiden is a knight, Isabella is a knight, Liam is a knight, and Luke is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Isabella is a knight\n(3) Liam is a knight\n(4) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight or Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Aiden is a knave then Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 0), ('->', ('lying', 0), ('telling-truth', 3)), ('telling-truth', 0))", "index": 896}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Alexander, Sofia, and Emily. Olivia was heard saying, \"Sofia is not a knave\". \"If Olivia is a knave then Emily is a knight,\" Alexander claimed. Sofia remarked, \"Emily is a knight or Alexander is a knave\". Emily said that Alexander is a knight if and only if Sofia is a knight. So who is a knight and who is a knave?", "names": ["Olivia", "Alexander", "Sofia", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Olivia is a knight, Alexander is a knight, Sofia is a knight, and Emily is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Alexander is a knight\n(3) Sofia is a knight\n(4) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Sofia is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Emily is a knight or Alexander is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Sofia is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Olivia is a knave then Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 3)), ('or', ('telling-truth', 3), ('lying', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "index": 897}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Emma, Samuel, and Mia. \"Mia is not a knave,\" Joseph claimed. In Emma's words: \"Mia is not a knave\". Samuel noted, \"Joseph is a knave and Joseph is a knight\". According to Mia, \"If Emma is a knave then Samuel is a knave\". So who is a knight and who is a knave?", "names": ["Joseph", "Emma", "Samuel", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Joseph is a knight, Emma is a knight, Samuel is a knave, and Mia is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Emma is a knight\n(3) Samuel is a knave\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Mia is not a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If Emma is a knave then Samuel is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Mia is not a knave.", "Samuel cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and Joseph is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Joseph is a knave and Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('not', ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 0)), ('->', ('lying', 1), ('lying', 2)))", "index": 898}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Charlotte, Grace, and Penelope. According to Owen, \"Grace is a knave if and only if Penelope is a knight\". Charlotte told you that If Penelope is a knave then Owen is a knight. \"If Penelope is a knight then Owen is a knight\" - Grace. Penelope said that Grace is a knight if and only if Charlotte is a knave. So who is a knight and who is a knave?", "names": ["Owen", "Charlotte", "Grace", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Owen is a knight, Charlotte is a knight, Grace is a knight, and Penelope is a knave.", "solution_text_format": "(1) Owen is a knight\n(2) Charlotte is a knight\n(3) Grace is a knight\n(4) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Grace is a knave if and only if Penelope is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that If Penelope is a knight then Owen is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Owen that Grace is a knave if and only if Penelope is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Charlotte is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Penelope is a knave then Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 3)), ('->', ('lying', 3), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "index": 899}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, Sophia, Harper, and Grace. \"Sophia is a knave,\" Avery declared. Sophia was heard saying, \"Harper is not a knave\". Harper said, \"Avery is a knight or Harper is a knight.\" Grace said, \"Harper is not a knave.\" So who is a knight and who is a knave?", "names": ["Avery", "Sophia", "Harper", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Avery is a knave, Sophia is a knight, Harper is a knight, and Grace is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Sophia is a knight\n(3) Harper is a knight\n(4) Grace is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Sophia is a knave.", "Sophia cannot be a knight, because this would contradict the claim of Avery that Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Harper is not a knave.", "Harper cannot be a knight, because this would contradict the false claim of Sophia that Harper is not a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that Avery is a knight or Harper is a knight.", "We have exhausted all possibilities for Harper and Sophia, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Avery is a knight or Harper is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Harper is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('not', ('lying', 2)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('lying', 2)))", "index": 900}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, David, Avery, and Emily. \"Emily is a knight or Avery is a knight,\" Victoria declared. \"Emily is a knight if and only if Avery is a knight,\" David declared. In a statement by Avery: \"Emily is a knave if and only if Avery is a knight\". Emily noted, \"Victoria is not a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "David", "Avery", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Victoria is a knave, David is a knight, Avery is a knave, and Emily is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) David is a knight\n(3) Avery is a knave\n(4) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Emily is a knight or Avery is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Emily is a knave if and only if Avery is a knight.", "Avery cannot be a knave, because this would contradict the false claim of their own that Emily is a knave if and only if Avery is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the false claim of their own that Victoria is not a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Emily is a knight or Avery is a knight.", "Emily cannot be a knight, because this would contradict the false claim of Victoria that Emily is a knight or Avery is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Victoria is not a knave.", "Avery cannot be a knight, because this would contradict the false claim of Victoria that Emily is a knight or Avery is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Avery is a knight.", "Assume David is a knight. No contradiction is found in their claim that Emily is a knight if and only if Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('lying', 3), ('telling-truth', 2)), ('not', ('lying', 0)))", "index": 901}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Isabella, Aurora, and Elizabeth. Zoey asserted: \"Isabella is a knight\". \"Aurora is a knave\" - Isabella. Aurora said that Elizabeth is a knave if and only if Isabella is a knave. \"If Isabella is a knave then Elizabeth is a knight,\" Elizabeth claimed. So who is a knight and who is a knave?", "names": ["Zoey", "Isabella", "Aurora", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Zoey is a knave, Isabella is a knave, Aurora is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) Isabella is a knave\n(3) Aurora is a knight\n(4) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Isabella that Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Elizabeth is a knave if and only if Isabella is a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Aurora that Elizabeth is a knave if and only if Isabella is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Isabella is a knave then Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth and Aurora, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Zoey that Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Zoey that Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Elizabeth is a knave if and only if Isabella is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Aurora that Elizabeth is a knave if and only if Isabella is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Isabella is a knave then Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('lying', 2), ('<=>', ('lying', 3), ('lying', 1)), ('->', ('lying', 1), ('telling-truth', 3)))", "index": 902}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Alexander, Evelyn, and David. Michael noted, \"If Evelyn is a knave then David is a knave\". Alexander was heard saying, \"Evelyn is a knight or David is a knight\". Evelyn expressed that Michael is not a knight. In David's words: \"David is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Alexander", "Evelyn", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Michael is a knight, Alexander is a knave, Evelyn is a knave, and David is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Alexander is a knave\n(3) Evelyn is a knave\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that If Evelyn is a knave then David is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Michael is not a knight.", "David cannot be a knight, because this would contradict the claim of Michael that If Evelyn is a knave then David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight or David is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Evelyn is a knight or David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 3)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('telling-truth', 0)), ('telling-truth', 3))", "index": 903}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Oliver, Aria, and Evelyn. Chloe asserted: \"Evelyn is a knave or Aria is a knight\". Oliver said, \"If Evelyn is a knave then Oliver is a knight.\" Aria was heard saying, \"Chloe is a knave or Oliver is a knave\". Evelyn remarked, \"Aria is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Oliver", "Aria", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Chloe is a knight, Oliver is a knight, Aria is a knave, and Evelyn is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Oliver is a knight\n(3) Aria is a knave\n(4) Evelyn is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Evelyn is a knave or Aria is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Aria is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Chloe is a knave or Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Aria that Chloe is a knave or Oliver is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that If Evelyn is a knave then Oliver is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Aria.", "Aria cannot be a knave, because this would contradict the claim of Chloe that Evelyn is a knave or Aria is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Aria is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Evelyn that Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Chloe is a knave or Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Evelyn is a knave then Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 2)), ('->', ('lying', 3), ('telling-truth', 1)), ('or', ('lying', 0), ('lying', 1)), ('telling-truth', 2))", "index": 904}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Riley, Henry, and Isabella. Harper stated, \"If Isabella is a knave then Henry is a knave\". Riley said, \"Harper is not a knave.\" Henry noted, \"Harper is a knight if and only if Isabella is a knight\". Isabella was heard saying, \"If Riley is a knight then Harper is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Riley", "Henry", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Harper is a knight, Riley is a knight, Henry is a knight, and Isabella is a knight.", "solution_text_format": "(1) Harper is a knight\n(2) Riley is a knight\n(3) Henry is a knight\n(4) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that If Isabella is a knave then Henry is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that If Riley is a knight then Harper is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Harper is a knight if and only if Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 2)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 905}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Ella, Henry, and Logan. William said that Logan is a knight or William is a knight. Ella remarked, \"If William is a knave then Ella is a knight\". Henry stated, \"Ella is a knave or William is a knave\". \"Henry is a knight,\" Logan claimed. So who is a knight and who is a knave?", "names": ["William", "Ella", "Henry", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "William is a knight, Ella is a knight, Henry is a knave, and Logan is a knave.", "solution_text_format": "(1) William is a knight\n(2) Ella is a knight\n(3) Henry is a knave\n(4) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Logan is a knight or William is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Ella is a knave or William is a knave.", "Ella cannot be a knight, because this would contradict the claim of Henry that Ella is a knave or William is a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that If William is a knave then Ella is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Henry.", "Henry cannot be a knave, because this would contradict the claim of Logan that Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Logan that Henry is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Ella is a knave or William is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If William is a knave then Ella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 1)), ('or', ('lying', 1), ('lying', 0)), ('telling-truth', 2))", "index": 906}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Chloe, Sophia, and Daniel. Lily said that If Sophia is a knave then Daniel is a knight. \"Daniel is not a knight\" - Chloe. \"Lily is a knight,\" Sophia declared. Daniel told you that Chloe is a knight if and only if Lily is a knight. So who is a knight and who is a knave?", "names": ["Lily", "Chloe", "Sophia", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Lily is a knave, Chloe is a knight, Sophia is a knave, and Daniel is a knave.", "solution_text_format": "(1) Lily is a knave\n(2) Chloe is a knight\n(3) Sophia is a knave\n(4) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that If Sophia is a knave then Daniel is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Lily is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Lily is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Daniel is not a knight.", "Chloe cannot be a knave, because this would contradict the claim of Daniel that Chloe is a knight if and only if Lily is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Lily is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Daniel that Chloe is a knight if and only if Lily is a knight.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Daniel is not a knight.", "We have exhausted all possibilities for Chloe and Daniel, so let us go back and reconsider Sophia.", "Sophia cannot be a knave, because this would contradict the false claim of their own that Lily is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that If Sophia is a knave then Daniel is a knight.", "Sophia cannot be a knight, because this would contradict the false claim of Lily that If Sophia is a knave then Daniel is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Lily is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Lily that If Sophia is a knave then Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Lily is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Daniel is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 3)), ('not', ('telling-truth', 3)), ('telling-truth', 0), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 907}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Scarlett, Victoria, and Jacob. Olivia commented, \"Jacob is a knight or Jacob is a knave\". Scarlett commented, \"Victoria is a knave and Jacob is a knave\". \"Jacob is not a knight,\" Victoria declared. \"Victoria is a knight or Scarlett is a knave,\" Jacob mentioned. So who is a knight and who is a knave?", "names": ["Olivia", "Scarlett", "Victoria", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Olivia is a knight, Scarlett is a knave, Victoria is a knave, and Jacob is a knight.", "solution_text_format": "(1) Olivia is a knight\n(2) Scarlett is a knave\n(3) Victoria is a knave\n(4) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Jacob is a knight or Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Victoria is a knight or Scarlett is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Jacob is not a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Jacob is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Jacob is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Victoria is a knave and Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 3)), ('and', ('lying', 2), ('lying', 3)), ('not', ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 1)))", "index": 908}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jackson, Ava, Scarlett, and Harper. \"Harper is a knight\" - Jackson. Ava asserted: \"Jackson is a knight\". Scarlett commented, \"If Jackson is a knight then Scarlett is a knight\". According to Harper, \"Ava is a knave and Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Jackson", "Ava", "Scarlett", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Jackson is a knave, Ava is a knave, Scarlett is a knight, and Harper is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Ava is a knave\n(3) Scarlett is a knight\n(4) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Ava is a knave and Scarlett is a knave.", "Ava cannot be a knight, because this would contradict the claim of Harper that Ava is a knave and Scarlett is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Harper.", "Harper cannot be a knave, because this would contradict the claim of Jackson that Harper is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Harper is a knight.", "Harper cannot be a knight, because this would contradict the false claim of Jackson that Harper is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Ava is a knave and Scarlett is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Jackson is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Jackson is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Jackson is a knight then Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('telling-truth', 0), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('lying', 1), ('lying', 2)))", "index": 909}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Aurora, Jackson, and Aiden. Isabella asserted: \"Isabella is a knight or Aurora is a knave\". Aurora said, \"Jackson is a knight.\" As Jackson put it, \"Aurora is a knight if and only if Aurora is a knave\". \"If Aurora is a knight then Aurora is a knave\" - Aiden. So who is a knight and who is a knave?", "names": ["Isabella", "Aurora", "Jackson", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Isabella is a knight, Aurora is a knave, Jackson is a knave, and Aiden is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Aurora is a knave\n(3) Jackson is a knave\n(4) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight or Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Aurora is a knight if and only if Aurora is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Aurora that Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Aurora that Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Aurora is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Aurora is a knight then Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 2), ('<=>', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 910}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Samuel, Riley, and Lily. Harper noted, \"Lily is not a knight\". Samuel stated, \"Lily is a knight if and only if Harper is a knave\". \"Riley is a knight and Harper is a knave\" - Riley. In a statement by Lily: \"Harper is a knight if and only if Lily is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Samuel", "Riley", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Harper is a knight, Samuel is a knight, Riley is a knave, and Lily is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Samuel is a knight\n(3) Riley is a knave\n(4) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Harper that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Lily is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Lily is a knight if and only if Harper is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Harper is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Riley is a knight and Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('lying', 0)), ('and', ('telling-truth', 2), ('lying', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)))", "index": 911}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Ethan, Emily, and Riley. Samuel commented, \"Ethan is a knave if and only if Emily is a knight\". Ethan noted, \"If Samuel is a knight then Emily is a knave\". Emily remarked, \"If Riley is a knight then Riley is a knave\". Riley told you that Samuel is a knight and Emily is a knight. So who is a knight and who is a knave?", "names": ["Samuel", "Ethan", "Emily", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Samuel is a knave, Ethan is a knight, Emily is a knight, and Riley is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Ethan is a knight\n(3) Emily is a knight\n(4) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Emily is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Samuel is a knight then Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Samuel that Ethan is a knave if and only if Emily is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that If Riley is a knight then Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Samuel is a knight and Emily is a knight.", "Riley cannot be a knave, because this would contradict the false claim of Emily that If Riley is a knight then Riley is a knave.", "We have exhausted all possibilities for Riley and Emily, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Samuel is a knight then Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Riley is a knight then Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Emily that If Riley is a knight then Riley is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight and Emily is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the claim of Samuel that Ethan is a knave if and only if Emily is a knight.", "We have exhausted all possibilities for Emily and Ethan, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Emily is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Samuel is a knight then Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Riley is a knight then Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Emily that If Riley is a knight then Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Samuel is a knight and Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 2)), ('->', ('telling-truth', 3), ('lying', 3)), ('and', ('telling-truth', 0), ('telling-truth', 2)))", "index": 912}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Logan, Scarlett, and Amelia. \"Alexander is a knight if and only if Logan is a knave,\" Alexander claimed. Logan commented, \"Amelia is a knight if and only if Logan is a knight\". Scarlett stated, \"Alexander is not a knight\". In a statement by Amelia: \"Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Alexander", "Logan", "Scarlett", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Alexander is a knave, Logan is a knave, Scarlett is a knight, and Amelia is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Logan is a knave\n(3) Scarlett is a knight\n(4) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Alexander that Alexander is a knight if and only if Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Logan is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Alexander is not a knight.", "Scarlett cannot be a knave, because this would contradict the claim of Amelia that Scarlett is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Amelia.", "Amelia cannot be a knave, because this would contradict the false claim of Logan that Amelia is a knight if and only if Logan is a knight.", "We have exhausted all possibilities for Amelia and Logan, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Logan is a knave.", "Logan cannot be a knight, because this would contradict the false claim of Alexander that Alexander is a knight if and only if Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Logan is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Alexander is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('telling-truth', 2))", "index": 913}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Alexander, Henry, and Amelia. Sofia asserted: \"If Amelia is a knave then Henry is a knight\". In Alexander's words: \"Sofia is a knight or Henry is a knight\". In Henry's words: \"If Alexander is a knave then Amelia is a knave\". \"Alexander is not a knight,\" Amelia declared. So who is a knight and who is a knave?", "names": ["Sofia", "Alexander", "Henry", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Sofia is a knight, Alexander is a knight, Henry is a knight, and Amelia is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) Alexander is a knight\n(3) Henry is a knight\n(4) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that If Amelia is a knave then Henry is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Amelia that Alexander is not a knight.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight or Henry is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Sofia is a knight or Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Alexander is a knave then Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 1), ('lying', 3)), ('not', ('telling-truth', 1)))", "index": 914}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Aurora, Ava, and James. In a statement by Noah: \"James is a knight if and only if Noah is a knight\". Aurora stated, \"Noah is a knight and James is a knave\". \"James is a knight and Aurora is a knight,\" Ava claimed. \"Aurora is a knave if and only if Noah is a knave,\" James claimed. So who is a knight and who is a knave?", "names": ["Noah", "Aurora", "Ava", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Noah is a knave, Aurora is a knave, Ava is a knave, and James is a knight.", "solution_text_format": "(1) Noah is a knave\n(2) Aurora is a knave\n(3) Ava is a knave\n(4) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that James is a knight if and only if Noah is a knight.", "Assume James is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Noah is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Noah is a knight and James is a knave.", "Aurora cannot be a knave, because this would contradict the claim of James that Aurora is a knave if and only if Noah is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Noah that James is a knight if and only if Noah is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that James is a knight if and only if Noah is a knight.", "Assume James is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Noah is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Noah is a knight and James is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Noah is a knight and James is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that James is a knight and Aurora is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that James is a knight and Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 3)), ('and', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('lying', 1), ('lying', 0)))", "index": 915}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Jackson, Aria, and Scarlett. Isabella was heard saying, \"Aria is not a knight\". In Jackson's words: \"Isabella is a knave if and only if Jackson is a knight\". In a statement by Aria: \"Isabella is a knave if and only if Jackson is a knave\". \"If Isabella is a knight then Aria is a knight,\" Scarlett claimed. So who is a knight and who is a knave?", "names": ["Isabella", "Jackson", "Aria", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Isabella is a knave, Jackson is a knave, Aria is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Jackson is a knave\n(3) Aria is a knight\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Isabella that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of their own that Isabella is a knave if and only if Jackson is a knight.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Isabella is a knave if and only if Jackson is a knight.", "We have exhausted all possibilities for Jackson and Aria, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Aria is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Aria that Isabella is a knave if and only if Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Jackson is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Isabella is a knight then Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('<=>', ('lying', 0), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "index": 916}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Abigail, Jackson, and Ella. In Jack's words: \"Abigail is a knave if and only if Jackson is a knight\". Abigail was heard saying, \"If Ella is a knave then Ella is a knight\". Jackson said, \"Ella is a knight if and only if Jackson is a knight.\" According to Ella, \"Jackson is not a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Abigail", "Jackson", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Jack is a knight, Abigail is a knight, Jackson is a knave, and Ella is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Abigail is a knight\n(3) Jackson is a knave\n(4) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Jackson is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Ella is a knave then Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Jack that Abigail is a knave if and only if Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('->', ('lying', 3), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('telling-truth', 2)))", "index": 917}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Zoey, Michael, and Henry. Jacob commented, \"Michael is a knave\". \"Henry is a knave or Zoey is a knight,\" Zoey mentioned. Michael was heard saying, \"Zoey is a knight\". Henry stated, \"If Henry is a knight then Michael is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Zoey", "Michael", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Jacob is a knave, Zoey is a knight, Michael is a knight, and Henry is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Zoey is a knight\n(3) Michael is a knight\n(4) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Jacob that Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Michael that Zoey is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Henry is a knave or Zoey is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that If Henry is a knight then Michael is a knight.", "Henry cannot be a knave, because this would contradict the false claim of Zoey that Henry is a knave or Zoey is a knight.", "We have exhausted all possibilities for Henry, Zoey, and Michael, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Zoey is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Henry is a knave or Zoey is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Henry is a knight then Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('lying', 3), ('telling-truth', 1)), ('telling-truth', 1), ('->', ('telling-truth', 3), ('telling-truth', 2)))", "index": 918}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Abigail, Isabella, and Scarlett. \"Abigail is a knight,\" Olivia mentioned. \"Isabella is a knave if and only if Olivia is a knave,\" Abigail claimed. Isabella asserted: \"Olivia is a knave\". Scarlett told you that Isabella is not a knight. So who is a knight and who is a knave?", "names": ["Olivia", "Abigail", "Isabella", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Olivia is a knave, Abigail is a knave, Isabella is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Olivia is a knave\n(2) Abigail is a knave\n(3) Isabella is a knight\n(4) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Isabella is a knave if and only if Olivia is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Olivia is a knave.", "Isabella cannot be a knave, because this would contradict the claim of Abigail that Isabella is a knave if and only if Olivia is a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Olivia that Abigail is a knight.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Abigail is a knight.", "Abigail cannot be a knight, because this would contradict the false claim of Olivia that Abigail is a knight.", "Assume Abigail is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Olivia is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Olivia is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Isabella is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Isabella is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('lying', 2), ('lying', 0)), ('lying', 0), ('not', ('telling-truth', 2)))", "index": 919}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Alexander, Elizabeth, and Ella. William said, \"If Ella is a knave then Elizabeth is a knight.\" Alexander expressed that If Ella is a knight then Elizabeth is a knave. Elizabeth commented, \"William is a knave or Elizabeth is a knight\". Ella commented, \"Alexander is a knave and Alexander is a knight\". So who is a knight and who is a knave?", "names": ["William", "Alexander", "Elizabeth", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "William is a knight, Alexander is a knight, Elizabeth is a knight, and Ella is a knave.", "solution_text_format": "(1) William is a knight\n(2) Alexander is a knight\n(3) Elizabeth is a knight\n(4) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that If Ella is a knave then Elizabeth is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Alexander is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Alexander is a knave and Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Ella is a knight then Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that William is a knave or Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 1)))", "index": 920}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Oliver, Victoria, and Penelope. William commented, \"If William is a knight then Penelope is a knave\". Oliver said, \"William is a knave if and only if Penelope is a knave.\" Victoria remarked, \"William is a knave and Penelope is a knave\". In Penelope's words: \"Penelope is a knight\". So who is a knight and who is a knave?", "names": ["William", "Oliver", "Victoria", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "William is a knight, Oliver is a knave, Victoria is a knave, and Penelope is a knave.", "solution_text_format": "(1) William is a knight\n(2) Oliver is a knave\n(3) Victoria is a knave\n(4) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that If William is a knight then Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of William that If William is a knight then Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that William is a knave if and only if Penelope is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that William is a knave if and only if Penelope is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that William is a knave and Penelope is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that William is a knave and Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 3)), ('<=>', ('lying', 0), ('lying', 3)), ('and', ('lying', 0), ('lying', 3)), ('telling-truth', 3))", "index": 921}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Scarlett, Chloe, and Harper. In a statement by Noah: \"Harper is a knight and Harper is a knave\". Scarlett remarked, \"Chloe is a knight and Scarlett is a knight\". Chloe said, \"Harper is not a knave.\" Harper expressed that Noah is a knave and Noah is a knight. So who is a knight and who is a knave?", "names": ["Noah", "Scarlett", "Chloe", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Noah is a knave, Scarlett is a knave, Chloe is a knave, and Harper is a knave.", "solution_text_format": "(1) Noah is a knave\n(2) Scarlett is a knave\n(3) Chloe is a knave\n(4) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Noah cannot be a knight, because this would contradict the claim of their own that Harper is a knight and Harper is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Harper is a knight and Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Noah is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Noah is a knave and Noah is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Chloe is a knight and Scarlett is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Harper is not a knave.", "Chloe cannot be a knave, because this would contradict the claim of Scarlett that Chloe is a knight and Scarlett is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Chloe is a knight and Scarlett is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Harper is not a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Harper is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 3)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 0)))", "index": 922}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Avery, Penelope, and Harper. Aria asserted: \"Avery is a knave\". Avery commented, \"If Avery is a knight then Harper is a knave\". \"If Aria is a knight then Avery is a knave,\" Penelope claimed. Harper said, \"Avery is a knave.\" So who is a knight and who is a knave?", "names": ["Aria", "Avery", "Penelope", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Aria is a knave, Avery is a knight, Penelope is a knight, and Harper is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Avery is a knight\n(3) Penelope is a knight\n(4) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Aria that Avery is a knave.", "Avery cannot be a knave, because this would contradict the false claim of their own that If Avery is a knight then Harper is a knave.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Avery is a knight then Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Avery that If Avery is a knight then Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Avery is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Aria is a knight then Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('telling-truth', 1), ('lying', 3)), ('->', ('telling-truth', 0), ('lying', 1)), ('lying', 1))", "index": 923}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Henry, Amelia, and Aria. In a statement by Benjamin: \"Henry is not a knight\". Henry told you that Aria is a knight if and only if Amelia is a knave. Amelia was heard saying, \"If Benjamin is a knave then Benjamin is a knight\". \"Benjamin is a knight and Amelia is a knight,\" Aria claimed. So who is a knight and who is a knave?", "names": ["Benjamin", "Henry", "Amelia", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Benjamin is a knight, Henry is a knave, Amelia is a knight, and Aria is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Henry is a knave\n(3) Amelia is a knight\n(4) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Henry is not a knight.", "Henry cannot be a knight, because this would contradict the claim of Benjamin that Henry is not a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Amelia is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that Benjamin is a knight and Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Benjamin is a knave then Benjamin is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('lying', 2)), ('->', ('lying', 0), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 2)))", "index": 924}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Amelia, Abigail, and Benjamin. \"Abigail is a knave,\" Jack mentioned. In Amelia's words: \"Benjamin is a knave or Jack is a knave\". Abigail was heard saying, \"Benjamin is a knave or Amelia is a knave\". \"Amelia is a knave if and only if Jack is a knave,\" Benjamin mentioned. So who is a knight and who is a knave?", "names": ["Jack", "Amelia", "Abigail", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Jack is a knave, Amelia is a knight, Abigail is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Amelia is a knight\n(3) Abigail is a knight\n(4) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Jack that Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Benjamin is a knave or Amelia is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Jack is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave or Jack is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of Abigail that Benjamin is a knave or Amelia is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Benjamin.", "Benjamin cannot be a knave, because this would contradict the false claim of Abigail that Benjamin is a knave or Amelia is a knave.", "We have exhausted all possibilities for Benjamin and Abigail, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Benjamin is a knave or Amelia is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Jack is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Abigail that Benjamin is a knave or Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knave or Jack is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Jack is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Benjamin is a knave or Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('or', ('lying', 3), ('lying', 0)), ('or', ('lying', 3), ('lying', 1)), ('<=>', ('lying', 1), ('lying', 0)))", "index": 925}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Abigail, Logan, and Scarlett. Joseph told you that Joseph is a knight if and only if Abigail is a knave. Abigail commented, \"Joseph is a knight if and only if Logan is a knave\". As Logan put it, \"Abigail is not a knight\". In a statement by Scarlett: \"If Abigail is a knave then Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Abigail", "Logan", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Joseph is a knight, Abigail is a knave, Logan is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Joseph is a knight\n(2) Abigail is a knave\n(3) Logan is a knight\n(4) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Joseph that Joseph is a knight if and only if Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Abigail is not a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that If Abigail is a knave then Abigail is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Abigail is a knave then Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('not', ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 1)))", "index": 926}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, David, Charlotte, and Avery. Jack said, \"Charlotte is a knave and Jack is a knight.\" David expressed that If Jack is a knight then Jack is a knave. Charlotte noted, \"David is a knave\". Avery stated, \"David is a knave or Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "David", "Charlotte", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Jack is a knave, David is a knight, Charlotte is a knave, and Avery is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) David is a knight\n(3) Charlotte is a knave\n(4) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Charlotte is a knave and Jack is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Jack that Charlotte is a knave and Jack is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that David is a knave.", "David cannot be a knight, because this would contradict the claim of their own that If Jack is a knight then Jack is a knave.", "David cannot be a knave, because this would contradict the false claim of Charlotte that David is a knave.", "We have exhausted all possibilities for David and Charlotte, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Charlotte is a knave and Jack is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that David is a knave.", "David cannot be a knight, because this would contradict the claim of Charlotte that David is a knave.", "David cannot be a knave, because this would contradict the false claim of their own that If Jack is a knight then Jack is a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that David is a knave.", "Assume David is a knight. No contradiction is found in their claim that If Jack is a knight then Jack is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that David is a knave or Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('lying', 0)), ('lying', 1), ('or', ('lying', 1), ('lying', 2)))", "index": 927}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Aurora, Evelyn, and Isabella. Amelia commented, \"Aurora is a knight and Isabella is a knight\". Aurora remarked, \"Isabella is a knave or Amelia is a knave\". According to Evelyn, \"Amelia is a knave and Aurora is a knight\". Isabella remarked, \"If Evelyn is a knight then Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Aurora", "Evelyn", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Amelia is a knave, Aurora is a knight, Evelyn is a knight, and Isabella is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Aurora is a knight\n(3) Evelyn is a knight\n(4) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Aurora is a knight and Isabella is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Isabella is a knave or Amelia is a knave.", "Isabella cannot be a knight, because this would contradict the claim of Aurora that Isabella is a knave or Amelia is a knave.", "Isabella cannot be a knave, because this would contradict the claim of Amelia that Aurora is a knight and Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Amelia that Aurora is a knight and Isabella is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Aurora is a knight and Isabella is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Isabella is a knave or Amelia is a knave.", "Isabella cannot be a knight, because this would contradict the false claim of Amelia that Aurora is a knight and Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Aurora is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Amelia is a knave and Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('lying', 3), ('lying', 0)), ('and', ('lying', 0), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 1)))", "index": 928}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Benjamin, Samuel, and Sophia. Jack was heard saying, \"If Samuel is a knight then Sophia is a knight\". \"Jack is a knight or Sophia is a knave,\" Benjamin claimed. Samuel told you that Samuel is a knight and Jack is a knave. In a statement by Sophia: \"Jack is not a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Benjamin", "Samuel", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Jack is a knight, Benjamin is a knight, Samuel is a knave, and Sophia is a knave.", "solution_text_format": "(1) Jack is a knight\n(2) Benjamin is a knight\n(3) Samuel is a knave\n(4) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that If Samuel is a knight then Sophia is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Samuel is a knight and Jack is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Samuel is a knight and Jack is a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Jack is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Jack is not a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Jack is a knight or Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('lying', 3)), ('and', ('telling-truth', 2), ('lying', 0)), ('not', ('telling-truth', 0)))", "index": 929}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Aiden, Mia, and Aria. \"Aiden is a knave or Aria is a knight,\" Henry mentioned. Aiden noted, \"Mia is a knight if and only if Mia is a knave\". \"Aria is a knave,\" Mia claimed. \"Henry is a knight if and only if Aiden is a knight,\" Aria mentioned. So who is a knight and who is a knave?", "names": ["Henry", "Aiden", "Mia", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Henry is a knight, Aiden is a knave, Mia is a knight, and Aria is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Aiden is a knave\n(3) Mia is a knight\n(4) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Aiden is a knave or Aria is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Mia is a knight if and only if Mia is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Mia that Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('lying', 3), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 930}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Samuel, Alexander, and David. Emily stated, \"Alexander is not a knight\". \"Alexander is a knight if and only if Samuel is a knight,\" Samuel mentioned. Alexander noted, \"Samuel is not a knight\". David remarked, \"Samuel is a knight if and only if Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Samuel", "Alexander", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Emily is a knave, Samuel is a knave, Alexander is a knight, and David is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Samuel is a knave\n(3) Alexander is a knight\n(4) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Emily that Alexander is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Samuel is not a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Alexander is a knight if and only if Samuel is a knight.", "Samuel cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight if and only if Samuel is a knight.", "We have exhausted all possibilities for Samuel and Alexander, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Samuel is not a knight.", "Samuel cannot be a knight, because this would contradict the claim of Alexander that Samuel is not a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Samuel is a knight.", "Assume David is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 2)))", "index": 931}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Ava, Liam, and Amelia. In Samuel's words: \"Amelia is a knight and Ava is a knight\". Ava stated, \"If Liam is a knight then Ava is a knight\". \"Samuel is not a knight\" - Liam. \"Samuel is not a knight,\" Amelia declared. So who is a knight and who is a knave?", "names": ["Samuel", "Ava", "Liam", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Samuel is a knave, Ava is a knave, Liam is a knight, and Amelia is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Ava is a knave\n(3) Liam is a knight\n(4) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Amelia is a knight and Ava is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Samuel is not a knight.", "Amelia cannot be a knave, because this would contradict the claim of Samuel that Amelia is a knight and Ava is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Amelia is a knight and Ava is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Samuel is not a knight.", "Ava cannot be a knight, because this would contradict the false claim of Samuel that Amelia is a knight and Ava is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that If Liam is a knight then Ava is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Samuel is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "index": 932}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Sofia, Grace, and Alexander. \"Alexander is a knight and Grace is a knight,\" Matthew mentioned. In Sofia's words: \"Grace is a knave or Alexander is a knave\". According to Grace, \"Alexander is a knight if and only if Alexander is a knave\". Alexander said, \"Matthew is a knight and Sofia is a knight.\" So who is a knight and who is a knave?", "names": ["Matthew", "Sofia", "Grace", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Matthew is a knave, Sofia is a knight, Grace is a knave, and Alexander is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Sofia is a knight\n(3) Grace is a knave\n(4) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Alexander is a knight and Grace is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Matthew is a knight and Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Grace is a knave or Alexander is a knave.", "Grace cannot be a knight, because this would contradict the claim of Sofia that Grace is a knave or Alexander is a knave.", "Grace cannot be a knave, because this would contradict the claim of Matthew that Alexander is a knight and Grace is a knight.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Alexander that Matthew is a knight and Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Matthew that Alexander is a knight and Grace is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Alexander is a knight and Grace is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Sofia is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Matthew is a knight and Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Grace is a knave or Alexander is a knave.", "Grace cannot be a knight, because this would contradict the claim of their own that Alexander is a knight if and only if Alexander is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('lying', 2), ('lying', 3)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 933}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Zoey, Benjamin, and Jacob. \"If Benjamin is a knight then Jacob is a knight,\" Liam claimed. \"Liam is not a knight,\" Zoey claimed. Benjamin told you that If Jacob is a knave then Liam is a knave. According to Jacob, \"If Zoey is a knave then Liam is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Zoey", "Benjamin", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Liam is a knight, Zoey is a knave, Benjamin is a knight, and Jacob is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Zoey is a knave\n(3) Benjamin is a knight\n(4) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that If Benjamin is a knight then Jacob is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Jacob is a knave then Liam is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Zoey is a knave then Liam is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Liam is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Liam is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('telling-truth', 0)), ('->', ('lying', 3), ('lying', 0)), ('->', ('lying', 1), ('telling-truth', 0)))", "index": 934}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Ella, Riley, and Emma. James asserted: \"Ella is a knave or Emma is a knave\". In Ella's words: \"If James is a knight then Riley is a knave\". Riley said, \"If Emma is a knight then Ella is a knight.\" As Emma put it, \"Ella is a knave or Emma is a knight\". So who is a knight and who is a knave?", "names": ["James", "Ella", "Riley", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "James is a knave, Ella is a knight, Riley is a knight, and Emma is a knight.", "solution_text_format": "(1) James is a knave\n(2) Ella is a knight\n(3) Riley is a knight\n(4) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Ella is a knave or Emma is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If James is a knight then Riley is a knave.", "Riley cannot be a knight, because this would contradict the claim of Ella that If James is a knight then Riley is a knave.", "Riley cannot be a knave, because this would contradict the false claim of their own that If Emma is a knight then Ella is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that If James is a knight then Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Emma is a knight then Ella is a knight.", "Emma cannot be a knight, because this would contradict the claim of Riley that If Emma is a knight then Ella is a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that Ella is a knave or Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the false claim of Ella that If James is a knight then Riley is a knave.", "We have exhausted all possibilities for Riley and Ella, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Ella is a knave or Emma is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If James is a knight then Riley is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that If Emma is a knight then Ella is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Ella is a knave or Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('->', ('telling-truth', 0), ('lying', 2)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('lying', 1), ('telling-truth', 3)))", "index": 935}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Zoey, Olivia, and William. \"Zoey is not a knave,\" Michael claimed. \"Zoey is a knight or Olivia is a knave,\" Zoey declared. In a statement by Olivia: \"William is a knight and Olivia is a knight\". \"William is a knight if and only if Zoey is a knave,\" William declared. So who is a knight and who is a knave?", "names": ["Michael", "Zoey", "Olivia", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Michael is a knave, Zoey is a knave, Olivia is a knight, and William is a knight.", "solution_text_format": "(1) Michael is a knave\n(2) Zoey is a knave\n(3) Olivia is a knight\n(4) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight or Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that William is a knight and Olivia is a knight.", "William cannot be a knight, because this would contradict the claim of their own that William is a knight if and only if Zoey is a knave.", "William cannot be a knave, because this would contradict the claim of Olivia that William is a knight and Olivia is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that William is a knight and Olivia is a knight.", "William cannot be a knight, because this would contradict the claim of their own that William is a knight if and only if Zoey is a knave.", "William cannot be a knave, because this would contradict the false claim of their own that William is a knight if and only if Zoey is a knave.", "We have exhausted all possibilities for William and Olivia, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the claim of Michael that Zoey is not a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Zoey cannot be a knight, because this would contradict the false claim of Michael that Zoey is not a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight or Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that William is a knight and Olivia is a knight.", "Assume William is a knight. No contradiction is found in their claim that William is a knight if and only if Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('lying', 1)))", "index": 936}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Sofia, Daniel, and Emily. \"Daniel is a knave and Emily is a knight,\" Aria claimed. Sofia stated, \"If Aria is a knave then Emily is a knight\". \"Aria is a knave,\" Daniel declared. Emily commented, \"Sofia is a knight if and only if Sofia is a knave\". So who is a knight and who is a knave?", "names": ["Aria", "Sofia", "Daniel", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Aria is a knave, Sofia is a knave, Daniel is a knight, and Emily is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Sofia is a knave\n(3) Daniel is a knight\n(4) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Daniel is a knave and Emily is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Aria that Daniel is a knave and Emily is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Aria is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Sofia is a knave.", "Emily cannot be a knave, because this would contradict the claim of Aria that Daniel is a knave and Emily is a knight.", "We have exhausted all possibilities for Emily and Daniel, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Daniel is a knave and Emily is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Aria is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Sofia is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Sofia is a knave.", "Sofia cannot be a knight, because this would contradict the claim of their own that If Aria is a knave then Emily is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that If Aria is a knave then Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('->', ('lying', 0), ('telling-truth', 3)), ('lying', 0), ('<=>', ('telling-truth', 1), ('lying', 1)))", "index": 937}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Ella, Emily, and Alexander. \"Alexander is a knight or Mia is a knight,\" Mia declared. Ella stated, \"Mia is a knave and Mia is a knight\". \"Alexander is a knave if and only if Mia is a knight,\" Emily mentioned. \"Ella is a knight if and only if Mia is a knight,\" Alexander claimed. So who is a knight and who is a knave?", "names": ["Mia", "Ella", "Emily", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Mia is a knight, Ella is a knave, Emily is a knight, and Alexander is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Ella is a knave\n(3) Emily is a knight\n(4) Alexander is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Alexander is a knight or Mia is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Ella is a knight if and only if Mia is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Mia is a knight.", "Ella cannot be a knave, because this would contradict the claim of Alexander that Ella is a knight if and only if Mia is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Mia is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Mia is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Mia is a knave and Mia is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0)), ('<=>', ('lying', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 938}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Victoria, Michael, and Oliver. \"If Victoria is a knave then Victoria is a knight\" - Jack. In Victoria's words: \"Michael is a knight and Victoria is a knight\". Michael noted, \"Oliver is a knight and Michael is a knight\". \"Michael is not a knight,\" Oliver declared. So who is a knight and who is a knave?", "names": ["Jack", "Victoria", "Michael", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Jack is a knave, Victoria is a knave, Michael is a knave, and Oliver is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Victoria is a knave\n(3) Michael is a knave\n(4) Oliver is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that If Victoria is a knave then Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Michael is a knight and Victoria is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Oliver is a knight and Michael is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "Oliver cannot be a knave, because this would contradict the claim of Michael that Oliver is a knight and Michael is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the claim of Victoria that Michael is a knight and Victoria is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Jack that If Victoria is a knave then Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that If Victoria is a knave then Victoria is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Jack that If Victoria is a knave then Victoria is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Michael is a knight and Victoria is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Oliver is a knight and Michael is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Michael is not a knight.", "Oliver cannot be a knave, because this would contradict the claim of Michael that Oliver is a knight and Michael is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that Oliver is a knight and Michael is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Michael is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('telling-truth', 2)))", "index": 939}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Jackson, Luke, and Michael. \"If Michael is a knight then Jackson is a knave,\" Grace declared. Jackson asserted: \"Jackson is a knight or Michael is a knight\". \"Jackson is not a knight,\" Luke mentioned. In a statement by Michael: \"If Luke is a knight then Jackson is a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Jackson", "Luke", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Grace is a knave, Jackson is a knight, Luke is a knave, and Michael is a knight.", "solution_text_format": "(1) Grace is a knave\n(2) Jackson is a knight\n(3) Luke is a knave\n(4) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that If Michael is a knight then Jackson is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Luke is a knight then Jackson is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Grace that If Michael is a knight then Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight or Michael is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Grace that If Michael is a knight then Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Jackson is a knight or Michael is a knight.", "We have exhausted all possibilities for Jackson and Luke, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that If Luke is a knight then Jackson is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Luke that Jackson is not a knight.", "Jackson cannot be a knave, because this would contradict the false claim of Michael that If Luke is a knight then Jackson is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Luke.", "Luke cannot be a knave, because this would contradict the false claim of Michael that If Luke is a knight then Jackson is a knave.", "We have exhausted all possibilities for Luke and Michael, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that If Michael is a knight then Jackson is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Luke is a knight then Jackson is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Luke that Jackson is not a knight.", "Jackson cannot be a knave, because this would contradict the false claim of Grace that If Michael is a knight then Jackson is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Jackson is a knight or Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 1)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 1)))", "index": 940}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Mia, Henry, and Harper. According to Victoria, \"Mia is a knight or Henry is a knight\". \"Harper is a knave and Henry is a knave,\" Mia declared. Henry remarked, \"Mia is a knave or Henry is a knight\". According to Harper, \"Mia is a knight if and only if Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Mia", "Henry", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Victoria is a knight, Mia is a knave, Henry is a knight, and Harper is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Mia is a knave\n(3) Henry is a knight\n(4) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Mia is a knight or Henry is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Harper is a knave and Henry is a knave.", "Harper cannot be a knight, because this would contradict the claim of Mia that Harper is a knave and Henry is a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that Mia is a knight if and only if Victoria is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Mia.", "Assume Mia is a knave. No contradiction is found in their false claim that Harper is a knave and Henry is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Mia is a knight if and only if Victoria is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Victoria is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Mia is a knave or Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('lying', 3), ('lying', 2)), ('or', ('lying', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 941}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Ava, Chloe, and Abigail. As Matthew put it, \"If Abigail is a knight then Chloe is a knave\". In a statement by Ava: \"If Ava is a knight then Chloe is a knave\". \"Ava is not a knight,\" Chloe declared. \"Matthew is a knight or Matthew is a knave,\" Abigail mentioned. So who is a knight and who is a knave?", "names": ["Matthew", "Ava", "Chloe", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Matthew is a knight, Ava is a knight, Chloe is a knave, and Abigail is a knight.", "solution_text_format": "(1) Matthew is a knight\n(2) Ava is a knight\n(3) Chloe is a knave\n(4) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that If Abigail is a knight then Chloe is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Matthew is a knight or Matthew is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Matthew that If Abigail is a knight then Chloe is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Ava is not a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Ava is a knight then Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 2)), ('->', ('telling-truth', 1), ('lying', 2)), ('not', ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 942}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Isabella, Lily, and Liam. \"Liam is a knight,\" Charlotte mentioned. As Isabella put it, \"Lily is a knight or Isabella is a knight\". Lily was heard saying, \"Liam is a knight if and only if Charlotte is a knight\". \"If Charlotte is a knight then Liam is a knight,\" Liam claimed. So who is a knight and who is a knave?", "names": ["Charlotte", "Isabella", "Lily", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Charlotte is a knight, Isabella is a knight, Lily is a knight, and Liam is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Isabella is a knight\n(3) Lily is a knight\n(4) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If Charlotte is a knight then Liam is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Lily is a knight or Isabella is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Liam is a knight if and only if Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 3)))", "index": 943}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Ethan, Charlotte, and Isabella. Logan said that Charlotte is a knight and Ethan is a knave. In Ethan's words: \"Ethan is a knight or Isabella is a knight\". According to Charlotte, \"Logan is a knight and Ethan is a knave\". \"Ethan is a knave\" - Isabella. So who is a knight and who is a knave?", "names": ["Logan", "Ethan", "Charlotte", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Logan is a knave, Ethan is a knight, Charlotte is a knave, and Isabella is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Ethan is a knight\n(3) Charlotte is a knave\n(4) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Charlotte is a knight and Ethan is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Logan is a knight and Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Logan that Charlotte is a knight and Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Ethan is a knight or Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Ethan that Ethan is a knight or Isabella is a knight.", "Isabella cannot be a knave, because this would contradict the false claim of their own that Ethan is a knave.", "We have exhausted all possibilities for Isabella and Ethan, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Logan that Charlotte is a knight and Ethan is a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Charlotte is a knight and Ethan is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Ethan is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Logan is a knight and Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight or Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Ethan is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 1)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('lying', 1)), ('lying', 1))", "index": 944}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Olivia, Ava, and Scarlett. \"Victoria is a knight or Scarlett is a knight,\" Victoria declared. Olivia noted, \"Ava is a knave or Victoria is a knight\". \"If Scarlett is a knight then Victoria is a knave\" - Ava. Scarlett noted, \"Victoria is not a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Olivia", "Ava", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Victoria is a knight, Olivia is a knight, Ava is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Olivia is a knight\n(3) Ava is a knight\n(4) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight or Scarlett is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Victoria is not a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Ava is a knave or Victoria is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Scarlett is a knight then Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('lying', 0)), ('not', ('telling-truth', 0)))", "index": 945}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, James, Daniel, and Charlotte. \"Charlotte is not a knight\" - Riley. James said that Charlotte is not a knave. Daniel was heard saying, \"James is a knave if and only if Charlotte is a knave\". Charlotte noted, \"Daniel is a knight or Riley is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "James", "Daniel", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Riley is a knave, James is a knight, Daniel is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) James is a knight\n(3) Daniel is a knight\n(4) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Charlotte is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Riley that Charlotte is not a knight.", "Charlotte cannot be a knave, because this would contradict the false claim of their own that Daniel is a knight or Riley is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Charlotte is not a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Daniel is a knight or Riley is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that James is a knave if and only if Charlotte is a knave.", "Assume James is a knight. No contradiction is found in their claim that Charlotte is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('not', ('lying', 3)), ('<=>', ('lying', 1), ('lying', 3)), ('or', ('telling-truth', 2), ('telling-truth', 0)))", "index": 946}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Matthew, William, and Chloe. \"Evelyn is a knight if and only if William is a knight\" - Evelyn. Matthew remarked, \"Chloe is a knight\". In William's words: \"Evelyn is not a knave\". In Chloe's words: \"Evelyn is a knight if and only if William is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Matthew", "William", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Evelyn is a knight, Matthew is a knave, William is a knight, and Chloe is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) Matthew is a knave\n(3) William is a knight\n(4) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Evelyn is not a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight if and only if William is a knave.", "Chloe cannot be a knave, because this would contradict the claim of Matthew that Chloe is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the false claim of Matthew that Chloe is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 3), ('not', ('lying', 0)), ('<=>', ('telling-truth', 0), ('lying', 2)))", "index": 947}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Daniel, Victoria, and Sebastian. Chloe told you that Daniel is a knave and Chloe is a knight. Daniel said that Sebastian is not a knave. Victoria commented, \"Sebastian is a knave and Victoria is a knight\". According to Sebastian, \"If Victoria is a knave then Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Daniel", "Victoria", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Chloe is a knave, Daniel is a knave, Victoria is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Chloe is a knave\n(2) Daniel is a knave\n(3) Victoria is a knave\n(4) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Daniel is a knave and Chloe is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Chloe that Daniel is a knave and Chloe is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Daniel that Sebastian is not a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that If Victoria is a knave then Chloe is a knight.", "We have exhausted all possibilities for Sebastian and Daniel, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Daniel is a knave and Chloe is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Victoria is a knave then Chloe is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the claim of Sebastian that If Victoria is a knave then Chloe is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the claim of Daniel that Sebastian is not a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Sebastian is not a knave.", "Sebastian cannot be a knight, because this would contradict the false claim of Daniel that Sebastian is not a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that If Victoria is a knave then Chloe is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Sebastian that If Victoria is a knave then Chloe is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Sebastian is a knave and Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('not', ('lying', 3)), ('and', ('lying', 3), ('telling-truth', 2)), ('->', ('lying', 2), ('telling-truth', 0)))", "index": 948}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Joseph, Avery, and Emily. \"If Emily is a knight then Avery is a knight,\" Mason declared. \"Avery is a knave if and only if Mason is a knight,\" Joseph declared. Avery remarked, \"Mason is a knight and Joseph is a knight\". Emily said, \"If Joseph is a knave then Avery is a knave.\" So who is a knight and who is a knave?", "names": ["Mason", "Joseph", "Avery", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Mason is a knave, Joseph is a knave, Avery is a knave, and Emily is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Joseph is a knave\n(3) Avery is a knave\n(4) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that If Emily is a knight then Avery is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Joseph is a knave then Avery is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Avery is a knave if and only if Mason is a knight.", "Avery cannot be a knight, because this would contradict the claim of Joseph that Avery is a knave if and only if Mason is a knight.", "Avery cannot be a knave, because this would contradict the claim of Mason that If Emily is a knight then Avery is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Mason is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Mason is a knight and Joseph is a knight.", "Avery cannot be a knave, because this would contradict the claim of Mason that If Emily is a knight then Avery is a knight.", "We have exhausted all possibilities for Avery and Joseph, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that If Joseph is a knave then Avery is a knave.", "Joseph cannot be a knight, because this would contradict the false claim of Emily that If Joseph is a knave then Avery is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Mason is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Mason is a knight and Joseph is a knight.", "Avery cannot be a knave, because this would contradict the false claim of Joseph that Avery is a knave if and only if Mason is a knight.", "We have exhausted all possibilities for Avery, Joseph, and Emily, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that If Emily is a knight then Avery is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Joseph is a knave then Avery is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Avery is a knave if and only if Mason is a knight.", "Avery cannot be a knight, because this would contradict the false claim of Mason that If Emily is a knight then Avery is a knight.", "Avery cannot be a knave, because this would contradict the claim of Joseph that Avery is a knave if and only if Mason is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Mason is a knight.", "Avery cannot be a knight, because this would contradict the false claim of Mason that If Emily is a knight then Avery is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Mason is a knight and Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 1), ('lying', 2)))", "index": 949}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Lily, Aria, and David. Harper noted, \"Aria is a knight or Lily is a knave\". In Lily's words: \"Harper is a knave and David is a knight\". Aria remarked, \"David is a knave or Lily is a knight\". In David's words: \"Harper is a knave if and only if Harper is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Lily", "Aria", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Harper is a knight, Lily is a knave, Aria is a knight, and David is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Lily is a knave\n(3) Aria is a knight\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Aria is a knight or Lily is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that David is a knave or Lily is a knight.", "David cannot be a knight, because this would contradict the claim of their own that Harper is a knave if and only if Harper is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Harper is a knave if and only if Harper is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Harper is a knave and David is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Harper is a knave and David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 950}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Victoria, Olivia, and Jack. \"Olivia is a knave and Olivia is a knight\" - Joseph. Victoria asserted: \"If Olivia is a knight then Joseph is a knave\". Olivia asserted: \"If Jack is a knave then Joseph is a knave\". Jack said that Victoria is a knight if and only if Olivia is a knight. So who is a knight and who is a knave?", "names": ["Joseph", "Victoria", "Olivia", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Joseph is a knave, Victoria is a knight, Olivia is a knight, and Jack is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Victoria is a knight\n(3) Olivia is a knight\n(4) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Joseph cannot be a knight, because this would contradict the claim of their own that Olivia is a knave and Olivia is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Olivia is a knave and Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Jack is a knave then Joseph is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Olivia is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Olivia is a knight then Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 0)), ('->', ('lying', 3), ('lying', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "index": 951}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Evelyn, Jackson, and Scarlett. Alexander said, \"Scarlett is a knave or Jackson is a knave.\" Evelyn said, \"Alexander is a knave.\" Jackson commented, \"Alexander is a knave or Scarlett is a knave\". Scarlett stated, \"Evelyn is a knight if and only if Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Evelyn", "Jackson", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Alexander is a knight, Evelyn is a knave, Jackson is a knight, and Scarlett is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Evelyn is a knave\n(3) Jackson is a knight\n(4) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Scarlett is a knave or Jackson is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight if and only if Evelyn is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Alexander is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Alexander is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Alexander is a knave or Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 2)), ('lying', 0), ('or', ('lying', 0), ('lying', 3)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "index": 952}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Henry, Sophia, and Joseph. Penelope told you that Sophia is a knave if and only if Sophia is a knight. \"Penelope is a knave and Joseph is a knight,\" Henry claimed. Sophia commented, \"Penelope is a knave\". Joseph said that Sophia is a knight or Penelope is a knave. So who is a knight and who is a knave?", "names": ["Penelope", "Henry", "Sophia", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Penelope is a knave, Henry is a knight, Sophia is a knight, and Joseph is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Henry is a knight\n(3) Sophia is a knight\n(4) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Penelope cannot be a knight, because this would contradict the claim of their own that Sophia is a knave if and only if Sophia is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Penelope is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Penelope is a knave and Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Sophia is a knight or Penelope is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 0), ('telling-truth', 3)), ('lying', 0), ('or', ('telling-truth', 2), ('lying', 0)))", "index": 953}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Alexander, Ella, and Sophia. According to Zoey, \"Alexander is a knight and Ella is a knave\". Alexander noted, \"Sophia is not a knave\". Ella was heard saying, \"Sophia is not a knave\". Sophia said that Zoey is not a knight. So who is a knight and who is a knave?", "names": ["Zoey", "Alexander", "Ella", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Zoey is a knave, Alexander is a knight, Ella is a knight, and Sophia is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Alexander is a knight\n(3) Ella is a knight\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Alexander is a knight and Ella is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that Zoey is not a knight.", "Sophia cannot be a knave, because this would contradict the claim of Alexander that Sophia is not a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Zoey that Alexander is a knight and Ella is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Alexander is a knight and Ella is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Sophia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('not', ('lying', 3)), ('not', ('lying', 3)), ('not', ('telling-truth', 0)))", "index": 954}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Sofia, Alexander, and Liam. As Charlotte put it, \"Charlotte is a knight or Sofia is a knight\". Sofia remarked, \"Alexander is not a knave\". \"Liam is a knave or Charlotte is a knave,\" Alexander declared. According to Liam, \"Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Sofia", "Alexander", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Charlotte is a knight, Sofia is a knave, Alexander is a knave, and Liam is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Sofia is a knave\n(3) Alexander is a knave\n(4) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Charlotte is a knight or Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Liam is a knave or Charlotte is a knave.", "Liam cannot be a knight, because this would contradict the claim of Alexander that Liam is a knave or Charlotte is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Sofia that Alexander is not a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Alexander is not a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Sofia that Alexander is not a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Liam is a knave or Charlotte is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 2)), ('or', ('lying', 3), ('lying', 0)), ('telling-truth', 0))", "index": 955}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Benjamin, Mason, and Alexander. \"Alexander is not a knight,\" Logan mentioned. Benjamin asserted: \"Mason is a knight or Mason is a knave\". Mason expressed that Alexander is a knight. \"Benjamin is a knight,\" Alexander claimed. So who is a knight and who is a knave?", "names": ["Logan", "Benjamin", "Mason", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Logan is a knave, Benjamin is a knight, Mason is a knight, and Alexander is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Benjamin is a knight\n(3) Mason is a knight\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Alexander cannot be a knight, because this would contradict the claim of Logan that Alexander is not a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Alexander that Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Mason is a knight or Mason is a knave.", "We have exhausted all possibilities for Benjamin and Alexander, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Mason is a knight or Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 3), ('telling-truth', 1))", "index": 956}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Amelia, Harper, and Benjamin. \"Harper is not a knave,\" Riley declared. Amelia remarked, \"If Amelia is a knight then Benjamin is a knight\". In Harper's words: \"Harper is a knight and Riley is a knight\". Benjamin asserted: \"Riley is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Amelia", "Harper", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Riley is a knight, Amelia is a knight, Harper is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Amelia is a knight\n(3) Harper is a knight\n(4) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Harper is not a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Harper is a knight and Riley is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Amelia is a knight then Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 0))", "index": 957}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Charlotte, James, and Scarlett. Liam said, \"James is a knight and Liam is a knight.\" Charlotte said that Scarlett is a knight. James said that Liam is a knight and Charlotte is a knight. As Scarlett put it, \"If Charlotte is a knight then Liam is a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Charlotte", "James", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Liam is a knight, Charlotte is a knight, James is a knight, and Scarlett is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Charlotte is a knight\n(3) James is a knight\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that James is a knight and Liam is a knight.", "Assume James is a knight. No contradiction is found in their claim that Liam is a knight and Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Charlotte is a knight then Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 3), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 958}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Joseph, Penelope, and Sebastian. \"Joseph is not a knave\" - Emily. Joseph told you that Sebastian is a knight or Penelope is a knave. \"Joseph is a knight,\" Penelope declared. Sebastian was heard saying, \"Emily is a knave or Emily is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Joseph", "Penelope", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Emily is a knight, Joseph is a knight, Penelope is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Joseph is a knight\n(3) Penelope is a knight\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Sebastian is a knight or Penelope is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Emily is a knave or Emily is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 3), ('lying', 2)), ('telling-truth', 1), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 959}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Ava, Daniel, and Lily. Zoey told you that Lily is a knave and Daniel is a knave. Ava was heard saying, \"Daniel is a knave if and only if Lily is a knave\". According to Daniel, \"Zoey is not a knave\". \"Zoey is a knave,\" Lily claimed. So who is a knight and who is a knave?", "names": ["Zoey", "Ava", "Daniel", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Zoey is a knave, Ava is a knave, Daniel is a knave, and Lily is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) Ava is a knave\n(3) Daniel is a knave\n(4) Lily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Lily is a knave and Daniel is a knave.", "Lily cannot be a knight, because this would contradict the claim of Zoey that Lily is a knave and Daniel is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Zoey is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Zoey that Lily is a knave and Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Zoey is not a knave.", "We have exhausted all possibilities for Daniel and Lily, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Lily is a knave and Daniel is a knave.", "Assume Lily is a knight. No contradiction is found in their claim that Zoey is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Zoey is not a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Daniel is a knave if and only if Lily is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Lily is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 2)), ('<=>', ('lying', 2), ('lying', 3)), ('not', ('lying', 0)), ('lying', 0))", "index": 960}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Ethan, Scarlett, and Luke. Ella stated, \"Scarlett is a knave and Scarlett is a knight\". Ethan said, \"Scarlett is not a knight.\" \"Luke is a knave,\" Scarlett declared. According to Luke, \"Ella is a knave or Ella is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Ethan", "Scarlett", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Ella is a knave, Ethan is a knight, Scarlett is a knave, and Luke is a knight.", "solution_text_format": "(1) Ella is a knave\n(2) Ethan is a knight\n(3) Scarlett is a knave\n(4) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Ella cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave and Scarlett is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Scarlett is a knave and Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Scarlett that Luke is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that Ella is a knave or Ella is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Ella is a knave or Ella is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Scarlett is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('lying', 3), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 961}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Owen, Luke, and Ethan. Victoria was heard saying, \"Luke is a knight if and only if Luke is a knave\". \"Victoria is a knave if and only if Ethan is a knave\" - Owen. Luke said that Ethan is a knight. Ethan said, \"Victoria is a knave or Victoria is a knight.\" So who is a knight and who is a knave?", "names": ["Victoria", "Owen", "Luke", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Victoria is a knave, Owen is a knave, Luke is a knight, and Ethan is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Owen is a knave\n(3) Luke is a knight\n(4) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Victoria cannot be a knight, because this would contradict the claim of their own that Luke is a knight if and only if Luke is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Victoria is a knave or Victoria is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Victoria is a knave if and only if Ethan is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Ethan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 0), ('lying', 3)), ('telling-truth', 3), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 962}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Avery, Emily, and William. Chloe stated, \"William is a knight if and only if Emily is a knave\". \"Emily is not a knave,\" Avery mentioned. Emily was heard saying, \"William is a knave or Chloe is a knight\". \"William is a knight,\" William mentioned. So who is a knight and who is a knave?", "names": ["Chloe", "Avery", "Emily", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Chloe is a knight, Avery is a knight, Emily is a knight, and William is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Avery is a knight\n(3) Emily is a knight\n(4) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that William is a knight if and only if Emily is a knave.", "Assume William is a knight. No contradiction is found in their claim that William is a knight.", "Emily cannot be a knight, because this would contradict the claim of Chloe that William is a knight if and only if Emily is a knave.", "Emily cannot be a knave, because this would contradict the false claim of their own that William is a knave or Chloe is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that William is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that William is a knave or Chloe is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Emily is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('not', ('lying', 2)), ('or', ('lying', 3), ('telling-truth', 0)), ('telling-truth', 3))", "index": 963}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Ava, Lucas, and Zoey. Amelia asserted: \"If Ava is a knight then Lucas is a knight\". \"Amelia is a knight and Zoey is a knave\" - Ava. According to Lucas, \"Amelia is a knight if and only if Amelia is a knave\". Zoey noted, \"Amelia is a knave if and only if Ava is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Ava", "Lucas", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Amelia is a knight, Ava is a knave, Lucas is a knave, and Zoey is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Ava is a knave\n(3) Lucas is a knave\n(4) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that If Ava is a knight then Lucas is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Amelia is a knight and Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Ava that Amelia is a knight and Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Ava is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Amelia is a knave.", "Lucas cannot be a knave, because this would contradict the claim of Amelia that If Ava is a knight then Lucas is a knight.", "We have exhausted all possibilities for Lucas and Zoey, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Amelia is a knight and Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Ava is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Amelia is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Amelia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 964}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Amelia, Owen, and Victoria. William said, \"Victoria is not a knave.\" \"Owen is a knave or William is a knave,\" Amelia declared. According to Owen, \"William is a knight\". Victoria noted, \"If William is a knight then Owen is a knight\". So who is a knight and who is a knave?", "names": ["William", "Amelia", "Owen", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "William is a knight, Amelia is a knave, Owen is a knight, and Victoria is a knight.", "solution_text_format": "(1) William is a knight\n(2) Amelia is a knave\n(3) Owen is a knight\n(4) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If William is a knight then Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that William is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Owen is a knave or William is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Owen is a knave or William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('lying', 2), ('lying', 0)), ('telling-truth', 0), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "index": 965}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, David, Liam, and Mia. Grace commented, \"David is a knight\". In David's words: \"Liam is a knight or Mia is a knave\". \"If Mia is a knave then David is a knave,\" Liam declared. \"David is a knight or Liam is a knave\" - Mia. So who is a knight and who is a knave?", "names": ["Grace", "David", "Liam", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Grace is a knight, David is a knight, Liam is a knight, and Mia is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) David is a knight\n(3) Liam is a knight\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Liam is a knight or Mia is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Mia is a knave then David is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that David is a knight or Liam is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('telling-truth', 2), ('lying', 3)), ('->', ('lying', 3), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 2)))", "index": 966}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Mason, Oliver, and Riley. Aiden asserted: \"Oliver is a knave\". Mason told you that Oliver is a knight and Mason is a knight. Oliver asserted: \"Riley is a knight\". In a statement by Riley: \"Mason is not a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Mason", "Oliver", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Aiden is a knave, Mason is a knave, Oliver is a knight, and Riley is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Mason is a knave\n(3) Oliver is a knight\n(4) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Aiden that Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Oliver that Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Mason is a knight.", "Mason cannot be a knave, because this would contradict the false claim of Riley that Mason is not a knight.", "We have exhausted all possibilities for Mason, Riley, and Oliver, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Mason is not a knight.", "Mason cannot be a knight, because this would contradict the claim of Riley that Mason is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Oliver is a knight and Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 3), ('not', ('telling-truth', 1)))", "index": 967}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Mason, Owen, and Daniel. Grace stated, \"Owen is not a knight\". Mason told you that Grace is a knave or Mason is a knight. Owen expressed that Mason is a knight and Grace is a knight. \"If Owen is a knight then Daniel is a knight,\" Daniel claimed. So who is a knight and who is a knave?", "names": ["Grace", "Mason", "Owen", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Grace is a knight, Mason is a knave, Owen is a knave, and Daniel is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Mason is a knave\n(3) Owen is a knave\n(4) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Owen is not a knight.", "Owen cannot be a knight, because this would contradict the claim of Grace that Owen is not a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Mason is a knight and Grace is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Owen that Mason is a knight and Grace is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Grace is a knave or Mason is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Owen is a knight then Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('telling-truth', 3)))", "index": 968}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Lucas, Elizabeth, and William. Liam stated, \"If Lucas is a knave then Elizabeth is a knight\". \"If Elizabeth is a knight then William is a knight\" - Lucas. Elizabeth was heard saying, \"If Liam is a knave then Lucas is a knave\". William commented, \"Liam is not a knight\". So who is a knight and who is a knave?", "names": ["Liam", "Lucas", "Elizabeth", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Liam is a knight, Lucas is a knave, Elizabeth is a knight, and William is a knave.", "solution_text_format": "(1) Liam is a knight\n(2) Lucas is a knave\n(3) Elizabeth is a knight\n(4) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that If Lucas is a knave then Elizabeth is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Elizabeth is a knight then William is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Liam is a knave then Lucas is a knave.", "William cannot be a knight, because this would contradict the claim of their own that Liam is not a knight.", "William cannot be a knave, because this would contradict the claim of Lucas that If Elizabeth is a knight then William is a knight.", "We have exhausted all possibilities for William, so let us go back and reconsider Elizabeth.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Liam is a knave then Lucas is a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Elizabeth is a knight then William is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Liam is a knave then Lucas is a knave.", "William cannot be a knight, because this would contradict the false claim of Lucas that If Elizabeth is a knight then William is a knight.", "Assume William is a knave. No contradiction is found in their false claim that Liam is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('lying', 0), ('lying', 1)), ('not', ('telling-truth', 0)))", "index": 969}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Ava, Logan, and Aurora. \"Aurora is not a knight\" - Samuel. \"Samuel is a knave,\" Ava mentioned. \"Aurora is a knight,\" Logan declared. According to Aurora, \"If Aurora is a knight then Ava is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Ava", "Logan", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Samuel is a knave, Ava is a knight, Logan is a knight, and Aurora is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Ava is a knight\n(3) Logan is a knight\n(4) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Aurora is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of Samuel that Aurora is not a knight.", "Aurora cannot be a knave, because this would contradict the false claim of their own that If Aurora is a knight then Ava is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Aurora is not a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Aurora is a knight then Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Samuel is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('lying', 0), ('telling-truth', 3), ('->', ('telling-truth', 3), ('telling-truth', 1)))", "index": 970}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Joseph, Emily, and Aiden. Victoria remarked, \"Emily is a knave\". As Joseph put it, \"Aiden is a knight if and only if Aiden is a knave\". According to Emily, \"Joseph is not a knight\". Aiden stated, \"Victoria is not a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "Joseph", "Emily", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Victoria is a knave, Joseph is a knave, Emily is a knight, and Aiden is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Joseph is a knave\n(3) Emily is a knight\n(4) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Emily is a knave.", "Emily cannot be a knight, because this would contradict the claim of Victoria that Emily is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Aiden is a knight if and only if Aiden is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of Emily that Joseph is not a knight.", "We have exhausted all possibilities for Joseph and Emily, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Emily is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Aiden is a knight if and only if Aiden is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Victoria is not a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Victoria is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('telling-truth', 3), ('lying', 3)), ('not', ('telling-truth', 1)), ('not', ('lying', 0)))", "index": 971}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Ella, Scarlett, and Riley. Lily remarked, \"Ella is a knave\". Ella said, \"Riley is a knight.\" Scarlett noted, \"Riley is a knave if and only if Ella is a knave\". Riley expressed that Scarlett is not a knight. So who is a knight and who is a knave?", "names": ["Lily", "Ella", "Scarlett", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Lily is a knight, Ella is a knave, Scarlett is a knight, and Riley is a knave.", "solution_text_format": "(1) Lily is a knight\n(2) Ella is a knave\n(3) Scarlett is a knight\n(4) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Lily that Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Riley is a knight.", "Riley cannot be a knight, because this would contradict the false claim of Ella that Riley is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Scarlett is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Riley is a knave if and only if Ella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('telling-truth', 3), ('<=>', ('lying', 3), ('lying', 1)), ('not', ('telling-truth', 2)))", "index": 972}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Penelope, Scarlett, and Charlotte. Grace told you that Scarlett is a knight or Scarlett is a knave. Penelope said, \"Scarlett is a knight.\" In Scarlett's words: \"Penelope is a knave and Charlotte is a knight\". According to Charlotte, \"Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Penelope", "Scarlett", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Grace is a knight, Penelope is a knave, Scarlett is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Penelope is a knave\n(3) Scarlett is a knave\n(4) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Scarlett is a knight or Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Penelope is a knave and Charlotte is a knight.", "Penelope cannot be a knight, because this would contradict the claim of Scarlett that Penelope is a knave and Charlotte is a knight.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Scarlett is a knight.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Penelope is a knave and Charlotte is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Scarlett is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Scarlett that Penelope is a knave and Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 2), ('and', ('lying', 1), ('telling-truth', 3)), ('telling-truth', 3))", "index": 973}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Riley, Sophia, and Harper. Elizabeth asserted: \"Sophia is not a knave\". Riley told you that Sophia is a knave. Sophia remarked, \"If Elizabeth is a knave then Riley is a knight\". Harper was heard saying, \"Riley is a knight and Riley is a knave\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Riley", "Sophia", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Elizabeth is a knight, Riley is a knave, Sophia is a knight, and Harper is a knave.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Riley is a knave\n(3) Sophia is a knight\n(4) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Sophia is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Sophia is a knave.", "Harper cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Riley is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Riley is a knight and Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('lying', 2), ('->', ('lying', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 1)))", "index": 974}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Zoey, Ava, and Sebastian. Lucas asserted: \"Ava is a knight if and only if Sebastian is a knave\". As Zoey put it, \"If Ava is a knight then Lucas is a knave\". According to Ava, \"Lucas is a knight or Sebastian is a knight\". Sebastian told you that Lucas is a knight or Zoey is a knave. So who is a knight and who is a knave?", "names": ["Lucas", "Zoey", "Ava", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Lucas is a knave, Zoey is a knight, Ava is a knave, and Sebastian is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Zoey is a knight\n(3) Ava is a knave\n(4) Sebastian is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Ava is a knight if and only if Sebastian is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Lucas is a knight or Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Lucas that Ava is a knight if and only if Sebastian is a knave.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Lucas is a knight or Zoey is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the false claim of their own that Lucas is a knight or Sebastian is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Sebastian is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Lucas is a knight or Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Lucas is a knight or Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Sebastian that Lucas is a knight or Zoey is a knave.", "Zoey cannot be a knave, because this would contradict the false claim of their own that If Ava is a knight then Lucas is a knave.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Sebastian.", "Sebastian cannot be a knave, because this would contradict the false claim of Lucas that Ava is a knight if and only if Sebastian is a knave.", "We have exhausted all possibilities for Sebastian, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Lucas is a knight or Sebastian is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Lucas that Ava is a knight if and only if Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Lucas is a knight or Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Ava is a knight then Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 3)), ('->', ('telling-truth', 2), ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('lying', 1)))", "index": 975}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, James, Owen, and Isabella. Victoria expressed that Owen is a knight. James stated, \"If Isabella is a knight then James is a knight\". Owen commented, \"If Owen is a knight then James is a knave\". Isabella expressed that Owen is a knight or Victoria is a knave. So who is a knight and who is a knave?", "names": ["Victoria", "James", "Owen", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Victoria is a knight, James is a knave, Owen is a knight, and Isabella is a knight.", "solution_text_format": "(1) Victoria is a knight\n(2) James is a knave\n(3) Owen is a knight\n(4) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Owen is a knight then James is a knave.", "James cannot be a knight, because this would contradict the claim of Owen that If Owen is a knight then James is a knave.", "Assume James is a knave. No contradiction is found in their false claim that If Isabella is a knight then James is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Owen is a knight or Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('lying', 1)), ('or', ('telling-truth', 2), ('lying', 0)))", "index": 976}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Emma, Victoria, and Aiden. \"Noah is a knight or Victoria is a knave\" - Noah. Emma said, \"Victoria is a knave.\" In a statement by Victoria: \"Noah is not a knave\". Aiden said, \"Emma is a knave and Noah is a knight.\" So who is a knight and who is a knave?", "names": ["Noah", "Emma", "Victoria", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Noah is a knight, Emma is a knave, Victoria is a knight, and Aiden is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Emma is a knave\n(3) Victoria is a knight\n(4) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Noah is a knight or Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Noah is not a knave.", "Emma cannot be a knight, because this would contradict the claim of their own that Victoria is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Emma is a knave and Noah is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 2)), ('lying', 2), ('not', ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 0)))", "index": 977}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Emma, Samuel, and Alexander. Ava said, \"Emma is a knight if and only if Alexander is a knight.\" Emma said that Samuel is a knave and Ava is a knight. Samuel commented, \"Emma is a knave\". In Alexander's words: \"If Emma is a knave then Ava is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Emma", "Samuel", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Ava is a knight, Emma is a knight, Samuel is a knave, and Alexander is a knight.", "solution_text_format": "(1) Ava is a knight\n(2) Emma is a knight\n(3) Samuel is a knave\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Emma is a knight if and only if Alexander is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Samuel is a knave and Ava is a knight.", "Samuel cannot be a knight, because this would contradict the claim of Emma that Samuel is a knave and Ava is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Emma is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Emma is a knave then Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('lying', 2), ('telling-truth', 0)), ('lying', 1), ('->', ('lying', 1), ('telling-truth', 0)))", "index": 978}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Alexander, Emma, and Matthew. Lily told you that Emma is not a knight. \"Emma is a knave,\" Alexander declared. Emma commented, \"Matthew is a knave if and only if Alexander is a knight\". According to Matthew, \"Emma is a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Alexander", "Emma", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Lily is a knight, Alexander is a knight, Emma is a knave, and Matthew is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Alexander is a knight\n(3) Emma is a knave\n(4) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Emma is not a knight.", "Emma cannot be a knight, because this would contradict the claim of Lily that Emma is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Alexander is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Emma is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('lying', 2), ('<=>', ('lying', 3), ('telling-truth', 1)), ('lying', 2))", "index": 979}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Amelia, Ava, and Harper. In a statement by Luke: \"Amelia is not a knight\". Amelia stated, \"Ava is a knight if and only if Ava is a knave\". \"Luke is a knave if and only if Harper is a knight,\" Ava declared. As Harper put it, \"Luke is a knave or Luke is a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Amelia", "Ava", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Luke is a knight, Amelia is a knave, Ava is a knave, and Harper is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Amelia is a knave\n(3) Ava is a knave\n(4) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Amelia is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of Luke that Amelia is not a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Luke is a knave if and only if Harper is a knight.", "Harper cannot be a knight, because this would contradict the claim of Ava that Luke is a knave if and only if Harper is a knight.", "Harper cannot be a knave, because this would contradict the false claim of their own that Luke is a knave or Luke is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Luke is a knave or Luke is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 3)), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 980}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Lily, Harper, and Aurora. Owen expressed that Aurora is a knave. \"Owen is not a knave\" - Lily. Harper remarked, \"If Owen is a knave then Lily is a knave\". \"Harper is a knight or Harper is a knave,\" Aurora mentioned. So who is a knight and who is a knave?", "names": ["Owen", "Lily", "Harper", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Owen is a knave, Lily is a knave, Harper is a knight, and Aurora is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Lily is a knave\n(3) Harper is a knight\n(4) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Owen that Aurora is a knave.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Harper is a knight or Harper is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Harper is a knight or Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that If Owen is a knave then Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Owen is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Owen is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('not', ('lying', 0)), ('->', ('lying', 0), ('lying', 1)), ('or', ('telling-truth', 2), ('lying', 2)))", "index": 981}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aria, Emily, Jackson, and Aurora. \"Aurora is a knight,\" Aria declared. In a statement by Emily: \"If Aurora is a knave then Emily is a knight\". Jackson said, \"If Jackson is a knight then Emily is a knight.\" Aurora expressed that Emily is a knight if and only if Jackson is a knave. So who is a knight and who is a knave?", "names": ["Aria", "Emily", "Jackson", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Aria is a knave, Emily is a knight, Jackson is a knight, and Aurora is a knave.", "solution_text_format": "(1) Aria is a knave\n(2) Emily is a knight\n(3) Jackson is a knight\n(4) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aria is a knight. No contradiction is found in their claim that Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Emily is a knight if and only if Jackson is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Aurora is a knave then Emily is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Aurora that Emily is a knight if and only if Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knight then Emily is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the false claim of their own that If Aurora is a knave then Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Aria that Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Aria that Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Jackson is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that If Aurora is a knave then Emily is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Jackson is a knight then Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('->', ('lying', 3), ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 2)))", "index": 982}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Jackson, Abigail, and Amelia. In Michael's words: \"If Jackson is a knave then Michael is a knight\". \"If Michael is a knight then Amelia is a knight\" - Jackson. Abigail expressed that Michael is a knight or Michael is a knave. Amelia commented, \"Jackson is a knave and Jackson is a knight\". So who is a knight and who is a knave?", "names": ["Michael", "Jackson", "Abigail", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Michael is a knight, Jackson is a knave, Abigail is a knight, and Amelia is a knave.", "solution_text_format": "(1) Michael is a knight\n(2) Jackson is a knave\n(3) Abigail is a knight\n(4) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Michael is a knight. No contradiction is found in their claim that If Jackson is a knave then Michael is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Michael is a knight then Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Jackson is a knight.", "Amelia cannot be a knave, because this would contradict the claim of Jackson that If Michael is a knight then Amelia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Michael is a knight then Amelia is a knight.", "Amelia cannot be a knight, because this would contradict the false claim of Jackson that If Michael is a knight then Amelia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Jackson is a knave and Jackson is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Michael is a knight or Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 1)))", "index": 983}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Owen, James, and Liam. As Benjamin put it, \"James is a knave and Benjamin is a knight\". As Owen put it, \"Benjamin is a knight if and only if Liam is a knight\". James remarked, \"If Benjamin is a knight then Owen is a knave\". In a statement by Liam: \"If James is a knave then Owen is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Owen", "James", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Benjamin is a knave, Owen is a knave, James is a knight, and Liam is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Owen is a knave\n(3) James is a knight\n(4) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that James is a knave and Benjamin is a knight.", "James cannot be a knight, because this would contradict the claim of Benjamin that James is a knave and Benjamin is a knight.", "Assume James is a knave. No contradiction is found in their false claim that If Benjamin is a knight then Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that If James is a knave then Owen is a knave.", "Liam cannot be a knave, because this would contradict the claim of Owen that Benjamin is a knight if and only if Liam is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Owen.", "Owen cannot be a knave, because this would contradict the false claim of James that If Benjamin is a knight then Owen is a knave.", "We have exhausted all possibilities for Owen and James, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that James is a knave and Benjamin is a knight.", "Assume James is a knight. No contradiction is found in their claim that If Benjamin is a knight then Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Liam is a knight.", "Liam cannot be a knight, because this would contradict the claim of Owen that Benjamin is a knight if and only if Liam is a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that If James is a knave then Owen is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Benjamin is a knight if and only if Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that If James is a knave then Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('->', ('telling-truth', 0), ('lying', 1)), ('->', ('lying', 2), ('lying', 1)))", "index": 984}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Evelyn, Grace, and Jack. Jacob said, \"If Jack is a knight then Grace is a knave.\" Evelyn was heard saying, \"Grace is not a knight\". Grace was heard saying, \"Evelyn is a knight if and only if Jacob is a knave\". According to Jack, \"If Jacob is a knave then Jack is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Evelyn", "Grace", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Jacob is a knight, Evelyn is a knight, Grace is a knave, and Jack is a knight.", "solution_text_format": "(1) Jacob is a knight\n(2) Evelyn is a knight\n(3) Grace is a knave\n(4) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that If Jack is a knight then Grace is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that If Jacob is a knave then Jack is a knight.", "Grace cannot be a knight, because this would contradict the claim of Jacob that If Jack is a knight then Grace is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Jacob is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Grace is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 2)), ('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('->', ('lying', 0), ('telling-truth', 3)))", "index": 985}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Noah, Luke, and Samuel. Logan noted, \"Samuel is a knave or Luke is a knight\". \"Luke is not a knight\" - Noah. Luke was heard saying, \"Noah is a knave or Samuel is a knave\". Samuel said, \"Noah is a knave or Luke is a knight.\" So who is a knight and who is a knave?", "names": ["Logan", "Noah", "Luke", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Logan is a knight, Noah is a knave, Luke is a knight, and Samuel is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Noah is a knave\n(3) Luke is a knight\n(4) Samuel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Samuel is a knave or Luke is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Noah is a knave or Luke is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of Noah that Luke is not a knight.", "Luke cannot be a knave, because this would contradict the claim of Logan that Samuel is a knave or Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Noah is a knave or Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('or', ('lying', 1), ('lying', 3)), ('or', ('lying', 1), ('telling-truth', 2)))", "index": 986}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Samuel, Oliver, and Emma. In Logan's words: \"Oliver is a knave if and only if Oliver is a knight\". \"If Oliver is a knight then Samuel is a knight\" - Samuel. Oliver commented, \"Samuel is a knight if and only if Samuel is a knave\". Emma stated, \"Logan is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Samuel", "Oliver", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Logan is a knave, Samuel is a knight, Oliver is a knave, and Emma is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Samuel is a knight\n(3) Oliver is a knave\n(4) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Logan cannot be a knight, because this would contradict the claim of their own that Oliver is a knave if and only if Oliver is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Oliver is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Samuel is a knight if and only if Samuel is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Samuel is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Oliver is a knight then Samuel is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 1)), ('lying', 0))", "index": 987}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Harper, Matthew, and Amelia. Lucas was heard saying, \"Harper is a knave and Harper is a knight\". Harper commented, \"Amelia is a knave and Amelia is a knight\". \"Lucas is not a knave,\" Matthew claimed. Amelia was heard saying, \"Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Harper", "Matthew", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Lucas is a knave, Harper is a knave, Matthew is a knave, and Amelia is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Harper is a knave\n(3) Matthew is a knave\n(4) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Lucas cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Harper is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Harper is a knave and Harper is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Amelia is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Amelia is a knave and Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Lucas is not a knave.", "Matthew cannot be a knave, because this would contradict the claim of Amelia that Matthew is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Lucas is not a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Lucas is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('and', ('lying', 3), ('telling-truth', 3)), ('not', ('lying', 0)), ('telling-truth', 2))", "index": 988}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Luke, Sebastian, and Mia. Grace asserted: \"Grace is a knight if and only if Mia is a knight\". Luke said that Sebastian is not a knight. Sebastian told you that Luke is a knight and Sebastian is a knight. As Mia put it, \"Grace is not a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Luke", "Sebastian", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Grace is a knight, Luke is a knight, Sebastian is a knave, and Mia is a knight.", "solution_text_format": "(1) Grace is a knight\n(2) Luke is a knight\n(3) Sebastian is a knave\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight if and only if Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Grace is not a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Sebastian is not a knight.", "Sebastian cannot be a knight, because this would contradict the claim of Luke that Sebastian is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Luke is a knight and Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('lying', 0)))", "index": 989}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Emma, Grace, and Matthew. Sophia said, \"If Grace is a knave then Emma is a knight.\" \"Sophia is a knight,\" Emma claimed. \"Matthew is a knight,\" Grace mentioned. Matthew was heard saying, \"Emma is a knight if and only if Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Emma", "Grace", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Sophia is a knight, Emma is a knight, Grace is a knight, and Matthew is a knight.", "solution_text_format": "(1) Sophia is a knight\n(2) Emma is a knight\n(3) Grace is a knight\n(4) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that If Grace is a knave then Emma is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Emma is a knight if and only if Sophia is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 0), ('telling-truth', 3), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 990}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Noah, Logan, and Owen. As Charlotte put it, \"Noah is a knight if and only if Logan is a knave\". Noah expressed that If Logan is a knight then Owen is a knight. Logan commented, \"Owen is a knight and Noah is a knave\". In Owen's words: \"Charlotte is a knight and Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Noah", "Logan", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Charlotte is a knight, Noah is a knight, Logan is a knave, and Owen is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Noah is a knight\n(3) Logan is a knave\n(4) Owen is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Noah is a knight if and only if Logan is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that If Logan is a knight then Owen is a knight.", "Logan cannot be a knight, because this would contradict the claim of Charlotte that Noah is a knight if and only if Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Owen is a knight and Noah is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight and Charlotte is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Charlotte is a knight and Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 991}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Ethan, Riley, and Elizabeth. Owen noted, \"Riley is a knave if and only if Riley is a knight\". \"If Ethan is a knight then Riley is a knight,\" Ethan mentioned. Riley expressed that Ethan is a knight. Elizabeth was heard saying, \"Owen is not a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Ethan", "Riley", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Owen is a knave, Ethan is a knight, Riley is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Ethan is a knight\n(3) Riley is a knight\n(4) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Owen cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Riley is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Ethan is a knight then Riley is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Owen is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 1), ('not', ('telling-truth', 0)))", "index": 992}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Logan, Ella, and Luke. In Owen's words: \"Logan is a knave\". According to Logan, \"If Ella is a knave then Ella is a knight\". In Ella's words: \"Luke is a knight or Logan is a knight\". Luke said that Owen is a knight. So who is a knight and who is a knave?", "names": ["Owen", "Logan", "Ella", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Owen is a knave, Logan is a knight, Ella is a knight, and Luke is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Logan is a knight\n(3) Ella is a knight\n(4) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Owen that Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that If Ella is a knave then Ella is a knight.", "Ella cannot be a knight, because this would contradict the false claim of Logan that If Ella is a knave then Ella is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that Luke is a knight or Logan is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Ella that Luke is a knight or Logan is a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that Owen is a knight.", "We have exhausted all possibilities for Luke, Ella, and Logan, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Logan is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that If Ella is a knave then Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Luke is a knight or Logan is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Owen is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('telling-truth', 0))", "index": 993}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Luke, Grace, and Chloe. According to Alexander, \"Luke is a knight\". Luke remarked, \"Grace is a knave or Grace is a knight\". Grace asserted: \"Alexander is a knave or Luke is a knave\". Chloe commented, \"If Luke is a knight then Luke is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Luke", "Grace", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Alexander is a knight, Luke is a knight, Grace is a knave, and Chloe is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Luke is a knight\n(3) Grace is a knave\n(4) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Grace is a knave or Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Alexander is a knave or Luke is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Alexander is a knave or Luke is a knave.", "Chloe cannot be a knight, because this would contradict the claim of their own that If Luke is a knight then Luke is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Luke is a knight then Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('lying', 2), ('telling-truth', 2)), ('or', ('lying', 0), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 994}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jackson, Ava, Liam, and Logan. \"Logan is a knight or Liam is a knave\" - Jackson. Ava commented, \"Logan is a knight and Liam is a knight\". \"Ava is a knave,\" Liam declared. \"Logan is a knight and Liam is a knave,\" Logan declared. So who is a knight and who is a knave?", "names": ["Jackson", "Ava", "Liam", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Jackson is a knave, Ava is a knave, Liam is a knight, and Logan is a knave.", "solution_text_format": "(1) Jackson is a knave\n(2) Ava is a knave\n(3) Liam is a knight\n(4) Logan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Logan is a knight or Liam is a knave.", "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight and Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Logan that Logan is a knight and Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Liam is a knight.", "Ava cannot be a knave, because this would contradict the false claim of Liam that Ava is a knave.", "We have exhausted all possibilities for Ava and Liam, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight and Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Jackson that Logan is a knight or Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Liam is a knight.", "Ava cannot be a knave, because this would contradict the false claim of Liam that Ava is a knave.", "We have exhausted all possibilities for Ava, Liam, and Logan, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Logan is a knight or Liam is a knave.", "Logan cannot be a knight, because this would contradict the false claim of Jackson that Logan is a knight or Liam is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight and Liam is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Liam is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Logan is a knight and Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 2)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('lying', 1), ('and', ('telling-truth', 3), ('lying', 2)))", "index": 995}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aurora, Amelia, Riley, and Ava. \"Riley is not a knight,\" Aurora claimed. Amelia said, \"Amelia is a knight if and only if Ava is a knave.\" In a statement by Riley: \"Ava is not a knight\". Ava commented, \"If Amelia is a knight then Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Amelia", "Riley", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Aurora is a knave, Amelia is a knight, Riley is a knight, and Ava is a knave.", "solution_text_format": "(1) Aurora is a knave\n(2) Amelia is a knight\n(3) Riley is a knight\n(4) Ava is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of Aurora that Riley is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Ava is not a knight.", "Assume Ava is a knight. No contradiction is found in their claim that If Amelia is a knight then Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Ava is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight if and only if Ava is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Ava.", "Ava cannot be a knave, because this would contradict the false claim of Riley that Ava is not a knight.", "We have exhausted all possibilities for Ava and Riley, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Ava is not a knight.", "Ava cannot be a knight, because this would contradict the claim of Riley that Ava is not a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that If Amelia is a knight then Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Ava is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 1), ('lying', 3)), ('not', ('telling-truth', 3)), ('->', ('telling-truth', 1), ('lying', 1)))", "index": 996}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Oliver, Joseph, and Luke. In a statement by Daniel: \"Oliver is a knave if and only if Luke is a knight\". As Oliver put it, \"Daniel is a knave and Luke is a knave\". Joseph told you that Joseph is a knight. \"Joseph is a knight,\" Luke claimed. So who is a knight and who is a knave?", "names": ["Daniel", "Oliver", "Joseph", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Daniel is a knight, Oliver is a knave, Joseph is a knight, and Luke is a knight.", "solution_text_format": "(1) Daniel is a knight\n(2) Oliver is a knave\n(3) Joseph is a knight\n(4) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Luke is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Daniel is a knave and Luke is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Daniel is a knave and Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 3)), ('and', ('lying', 0), ('lying', 3)), ('telling-truth', 2), ('telling-truth', 2))", "index": 997}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Liam, Chloe, and Victoria. \"Victoria is a knave and Liam is a knave,\" Grace mentioned. \"Victoria is a knight,\" Liam mentioned. Chloe stated, \"Victoria is a knight or Chloe is a knight\". Victoria stated, \"Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Grace", "Liam", "Chloe", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Grace is a knight, Liam is a knave, Chloe is a knight, and Victoria is a knave.", "solution_text_format": "(1) Grace is a knight\n(2) Liam is a knave\n(3) Chloe is a knight\n(4) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Victoria is a knave and Liam is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Grace that Victoria is a knave and Liam is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Victoria is a knight or Chloe is a knight.", "Liam cannot be a knight, because this would contradict the claim of Grace that Victoria is a knave and Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Victoria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 1)), ('telling-truth', 3), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('lying', 2))", "index": 998}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Lucas, Oliver, and Michael. Emily said, \"If Oliver is a knight then Lucas is a knave.\" \"Emily is a knight\" - Lucas. In a statement by Oliver: \"Emily is a knave or Michael is a knave\". \"If Oliver is a knight then Lucas is a knave,\" Michael claimed. So who is a knight and who is a knave?", "names": ["Emily", "Lucas", "Oliver", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Emily is a knight, Lucas is a knight, Oliver is a knave, and Michael is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Lucas is a knight\n(3) Oliver is a knave\n(4) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that If Oliver is a knight then Lucas is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Emily is a knave or Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Oliver that Emily is a knave or Michael is a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that If Oliver is a knight then Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Emily that If Oliver is a knight then Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Emily is a knight.", "We have exhausted all possibilities for Lucas and Michael, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Emily is a knave or Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Oliver is a knight then Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 1)), ('telling-truth', 0), ('or', ('lying', 0), ('lying', 3)), ('->', ('telling-truth', 2), ('lying', 1)))", "index": 999}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Jack, Amelia, and Evelyn. Henry was heard saying, \"Jack is a knave if and only if Henry is a knight\". Jack commented, \"Henry is not a knight\". Amelia expressed that Evelyn is a knave. In a statement by Evelyn: \"Jack is a knight and Henry is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Jack", "Amelia", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Henry is a knight, Jack is a knave, Amelia is a knight, and Evelyn is a knave.", "solution_text_format": "(1) Henry is a knight\n(2) Jack is a knave\n(3) Amelia is a knight\n(4) Evelyn is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Jack is a knave if and only if Henry is a knight.", "Jack cannot be a knight, because this would contradict the claim of Henry that Jack is a knave if and only if Henry is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Henry is not a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of Amelia that Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Jack is a knight and Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('lying', 3), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 1000}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Aiden, Henry, and Michael. Owen said that Aiden is not a knave. In a statement by Aiden: \"If Owen is a knight then Michael is a knight\". \"Owen is a knight,\" Henry mentioned. Michael commented, \"Michael is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Aiden", "Henry", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Owen is a knight, Aiden is a knight, Henry is a knight, and Michael is a knight.", "solution_text_format": "(1) Owen is a knight\n(2) Aiden is a knight\n(3) Henry is a knight\n(4) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Owen is a knight then Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('telling-truth', 0), ('telling-truth', 3))", "index": 1001}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Jackson, Alexander, and William. Ava remarked, \"Alexander is a knave and Jackson is a knight\". Jackson commented, \"William is a knight\". \"Ava is a knave if and only if William is a knave\" - Alexander. William remarked, \"Alexander is a knight and Ava is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Jackson", "Alexander", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Ava is a knave, Jackson is a knave, Alexander is a knight, and William is a knave.", "solution_text_format": "(1) Ava is a knave\n(2) Jackson is a knave\n(3) Alexander is a knight\n(4) William is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Alexander is a knave and Jackson is a knight.", "Alexander cannot be a knight, because this would contradict the claim of Ava that Alexander is a knave and Jackson is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Ava is a knave if and only if William is a knave.", "William cannot be a knight, because this would contradict the false claim of Alexander that Ava is a knave if and only if William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Alexander is a knight and Ava is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that William is a knight.", "Jackson cannot be a knave, because this would contradict the claim of Ava that Alexander is a knave and Jackson is a knight.", "We have exhausted all possibilities for Jackson, William, and Alexander, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Alexander is a knave and Jackson is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Ava is a knave if and only if William is a knave.", "William cannot be a knight, because this would contradict the claim of Alexander that Ava is a knave if and only if William is a knave.", "Assume William is a knave. No contradiction is found in their false claim that Alexander is a knight and Ava is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that William is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 3), ('<=>', ('lying', 0), ('lying', 3)), ('and', ('telling-truth', 2), ('telling-truth', 0)))", "index": 1002}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Jackson, Logan, and Victoria. In Aiden's words: \"Victoria is a knave if and only if Aiden is a knight\". Jackson commented, \"Victoria is not a knave\". Logan asserted: \"Aiden is a knave if and only if Victoria is a knight\". Victoria was heard saying, \"Logan is a knight and Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Jackson", "Logan", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Aiden is a knave, Jackson is a knave, Logan is a knave, and Victoria is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Jackson is a knave\n(3) Logan is a knave\n(4) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Aiden is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Aiden that Victoria is a knave if and only if Aiden is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Logan is a knight and Aiden is a knight.", "Logan cannot be a knight, because this would contradict the false claim of Victoria that Logan is a knight and Aiden is a knight.", "Logan cannot be a knave, because this would contradict the false claim of their own that Aiden is a knave if and only if Victoria is a knight.", "We have exhausted all possibilities for Logan and Victoria, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Aiden is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Aiden that Victoria is a knave if and only if Aiden is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Logan is a knight and Aiden is a knight.", "Logan cannot be a knight, because this would contradict the claim of their own that Aiden is a knave if and only if Victoria is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Aiden is a knave if and only if Victoria is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Victoria is not a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Victoria is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 0)), ('not', ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 0)))", "index": 1003}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, James, Alexander, and Daniel. Logan noted, \"If James is a knight then Daniel is a knave\". \"James is a knight if and only if Logan is a knave,\" James mentioned. In Alexander's words: \"Daniel is a knight and James is a knave\". In a statement by Daniel: \"If Alexander is a knight then Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "James", "Alexander", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Logan is a knave, James is a knight, Alexander is a knave, and Daniel is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) James is a knight\n(3) Alexander is a knave\n(4) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that If James is a knight then Daniel is a knave.", "James cannot be a knight, because this would contradict the claim of their own that James is a knight if and only if Logan is a knave.", "James cannot be a knave, because this would contradict the false claim of their own that James is a knight if and only if Logan is a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that If James is a knight then Daniel is a knave.", "Assume James is a knight. No contradiction is found in their claim that James is a knight if and only if Logan is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Alexander is a knight then Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Daniel is a knight and James is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Daniel is a knight and James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 3)), ('<=>', ('telling-truth', 1), ('lying', 0)), ('and', ('telling-truth', 3), ('lying', 1)), ('->', ('telling-truth', 2), ('lying', 2)))", "index": 1004}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Chloe, Samuel, and David. As Jack put it, \"David is a knave or David is a knight\". Chloe noted, \"David is a knight and Samuel is a knave\". In Samuel's words: \"Chloe is a knight and David is a knave\". David stated, \"Samuel is not a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Chloe", "Samuel", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Jack is a knight, Chloe is a knight, Samuel is a knave, and David is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Chloe is a knight\n(3) Samuel is a knave\n(4) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that David is a knave or David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Samuel is not a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and David is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Chloe is a knight and David is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that David is a knight and Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('lying', 2)), ('and', ('telling-truth', 1), ('lying', 3)), ('not', ('telling-truth', 2)))", "index": 1005}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, David, Liam, and Victoria. Emily stated, \"David is a knave if and only if Liam is a knave\". David remarked, \"If Liam is a knight then Emily is a knave\". \"If Emily is a knave then David is a knave,\" Liam declared. \"David is not a knave,\" Victoria declared. So who is a knight and who is a knave?", "names": ["Emily", "David", "Liam", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Emily is a knave, David is a knight, Liam is a knave, and Victoria is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) David is a knight\n(3) Liam is a knave\n(4) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that David is a knave if and only if Liam is a knave.", "Assume David is a knight. No contradiction is found in their claim that If Liam is a knight then Emily is a knave.", "Liam cannot be a knight, because this would contradict the claim of David that If Liam is a knight then Emily is a knave.", "Liam cannot be a knave, because this would contradict the claim of Emily that David is a knave if and only if Liam is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that If Liam is a knight then Emily is a knave.", "Liam cannot be a knight, because this would contradict the claim of Emily that David is a knave if and only if Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of David that If Liam is a knight then Emily is a knave.", "We have exhausted all possibilities for Liam and David, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that David is a knave if and only if Liam is a knave.", "Assume David is a knight. No contradiction is found in their claim that If Liam is a knight then Emily is a knave.", "Liam cannot be a knight, because this would contradict the false claim of Emily that David is a knave if and only if Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that If Emily is a knave then David is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that David is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('->', ('telling-truth', 2), ('lying', 0)), ('->', ('lying', 0), ('lying', 1)), ('not', ('lying', 1)))", "index": 1006}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Aiden, Zoey, and Isabella. Oliver stated, \"Isabella is a knight\". Aiden noted, \"Oliver is a knave or Zoey is a knight\". Zoey asserted: \"Oliver is a knave if and only if Aiden is a knight\". In a statement by Isabella: \"Zoey is not a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Aiden", "Zoey", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Oliver is a knave, Aiden is a knight, Zoey is a knight, and Isabella is a knave.", "solution_text_format": "(1) Oliver is a knave\n(2) Aiden is a knight\n(3) Zoey is a knight\n(4) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of Isabella that Zoey is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Oliver is a knave or Zoey is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of Zoey that Oliver is a knave if and only if Aiden is a knight.", "We have exhausted all possibilities for Aiden and Zoey, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Oliver that Isabella is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Oliver that Isabella is a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Oliver is a knave or Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('or', ('lying', 0), ('telling-truth', 2)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('not', ('telling-truth', 2)))", "index": 1007}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Riley, Ava, and Joseph. According to Samuel, \"If Riley is a knave then Joseph is a knave\". Riley noted, \"Riley is a knight and Joseph is a knave\". \"Joseph is a knave or Joseph is a knight,\" Ava mentioned. In Joseph's words: \"Riley is a knave or Ava is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Riley", "Ava", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Samuel is a knave, Riley is a knave, Ava is a knight, and Joseph is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Riley is a knave\n(3) Ava is a knight\n(4) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that If Riley is a knave then Joseph is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Riley is a knight and Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Riley that Riley is a knight and Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Riley is a knave or Ava is a knight.", "Ava cannot be a knight, because this would contradict the false claim of Joseph that Riley is a knave or Ava is a knight.", "Ava cannot be a knave, because this would contradict the false claim of their own that Joseph is a knave or Joseph is a knight.", "We have exhausted all possibilities for Ava and Joseph, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Riley is a knight and Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Samuel that If Riley is a knave then Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Riley is a knave or Ava is a knight.", "We have exhausted all possibilities for Joseph and Riley, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Riley is a knave then Joseph is a knave.", "Riley cannot be a knight, because this would contradict the false claim of Samuel that If Riley is a knave then Joseph is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Riley is a knight and Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Riley is a knave or Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Joseph is a knave or Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 3)), ('or', ('lying', 3), ('telling-truth', 3)), ('or', ('lying', 1), ('telling-truth', 2)))", "index": 1008}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Evelyn, Alexander, and Oliver. Scarlett told you that If Oliver is a knave then Alexander is a knight. According to Evelyn, \"Alexander is not a knave\". \"Alexander is a knight and Scarlett is a knave,\" Alexander mentioned. As Oliver put it, \"Alexander is a knight and Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Scarlett", "Evelyn", "Alexander", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Scarlett is a knave, Evelyn is a knave, Alexander is a knave, and Oliver is a knave.", "solution_text_format": "(1) Scarlett is a knave\n(2) Evelyn is a knave\n(3) Alexander is a knave\n(4) Oliver is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that If Oliver is a knave then Alexander is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Alexander is a knight and Evelyn is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Scarlett is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Oliver that Alexander is a knight and Evelyn is a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Alexander is a knight and Evelyn is a knave.", "Alexander cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Scarlett is a knave.", "Alexander cannot be a knave, because this would contradict the claim of Scarlett that If Oliver is a knave then Alexander is a knight.", "We have exhausted all possibilities for Alexander and Oliver, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Oliver is a knave then Alexander is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Scarlett that If Oliver is a knave then Alexander is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Alexander is a knight and Evelyn is a knave.", "Alexander cannot be a knight, because this would contradict the false claim of Scarlett that If Oliver is a knave then Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Alexander is a knight and Scarlett is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Alexander is not a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Alexander is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 2)), ('not', ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 0)), ('and', ('telling-truth', 2), ('lying', 1)))", "index": 1009}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Luke, Henry, and Amelia. Sofia stated, \"Amelia is a knight and Amelia is a knave\". As Luke put it, \"Luke is a knight or Henry is a knight\". Henry said that Luke is not a knight. In a statement by Amelia: \"Luke is not a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Luke", "Henry", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Sofia is a knave, Luke is a knight, Henry is a knave, and Amelia is a knave.", "solution_text_format": "(1) Sofia is a knave\n(2) Luke is a knight\n(3) Henry is a knave\n(4) Amelia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Sofia cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Amelia is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Amelia is a knight and Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of Amelia that Luke is not a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Luke is a knight or Henry is a knight.", "Henry cannot be a knight, because this would contradict the false claim of Luke that Luke is a knight or Henry is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that Luke is not a knight.", "We have exhausted all possibilities for Henry and Luke, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Luke is a knight or Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Luke is not a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Luke is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 3)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('telling-truth', 1)), ('not', ('telling-truth', 1)))", "index": 1010}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Sebastian, Aurora, and Jack. \"Sebastian is a knight,\" Emily mentioned. In a statement by Sebastian: \"Aurora is a knave or Aurora is a knight\". As Aurora put it, \"Sebastian is a knave and Emily is a knight\". \"Emily is a knight,\" Jack mentioned. So who is a knight and who is a knave?", "names": ["Emily", "Sebastian", "Aurora", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Emily is a knight, Sebastian is a knight, Aurora is a knave, and Jack is a knight.", "solution_text_format": "(1) Emily is a knight\n(2) Sebastian is a knight\n(3) Aurora is a knave\n(4) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Aurora is a knave or Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave and Emily is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Sebastian is a knave and Emily is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 0)), ('telling-truth', 0))", "index": 1011}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, David, Henry, and Ethan. Zoey said that Henry is a knave. As David put it, \"If Zoey is a knight then Henry is a knight\". Henry asserted: \"If Ethan is a knight then Ethan is a knave\". \"Zoey is a knave and Ethan is a knight\" - Ethan. So who is a knight and who is a knave?", "names": ["Zoey", "David", "Henry", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Zoey is a knave, David is a knight, Henry is a knight, and Ethan is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) David is a knight\n(3) Henry is a knight\n(4) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Zoey that Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that If Ethan is a knight then Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that Zoey is a knave and Ethan is a knight.", "Ethan cannot be a knave, because this would contradict the false claim of Henry that If Ethan is a knight then Ethan is a knave.", "We have exhausted all possibilities for Ethan and Henry, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If Ethan is a knight then Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Henry that If Ethan is a knight then Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Zoey is a knave and Ethan is a knight.", "Assume David is a knight. No contradiction is found in their claim that If Zoey is a knight then Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 3)))", "index": 1012}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mia, Olivia, Samuel, and Sophia. \"Samuel is a knight and Sophia is a knave,\" Mia declared. \"Mia is not a knave\" - Olivia. \"If Sophia is a knight then Mia is a knight\" - Samuel. Sophia said that Sophia is a knight if and only if Mia is a knight. So who is a knight and who is a knave?", "names": ["Mia", "Olivia", "Samuel", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Mia is a knight, Olivia is a knight, Samuel is a knight, and Sophia is a knave.", "solution_text_format": "(1) Mia is a knight\n(2) Olivia is a knight\n(3) Samuel is a knight\n(4) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mia is a knight. No contradiction is found in their claim that Samuel is a knight and Sophia is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Sophia is a knight then Mia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of Mia that Samuel is a knight and Sophia is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Mia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Mia is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 3)), ('not', ('lying', 0)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)))", "index": 1013}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Sofia, Evelyn, and David. \"Sofia is not a knave\" - Benjamin. According to Sofia, \"David is a knave\". Evelyn stated, \"David is not a knave\". David remarked, \"David is a knight or Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Sofia", "Evelyn", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Benjamin is a knave, Sofia is a knave, Evelyn is a knight, and David is a knight.", "solution_text_format": "(1) Benjamin is a knave\n(2) Sofia is a knave\n(3) Evelyn is a knight\n(4) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Sofia is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that David is a knave.", "David cannot be a knight, because this would contradict the claim of Sofia that David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight or Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that David is not a knave.", "Evelyn cannot be a knave, because this would contradict the false claim of David that David is a knight or Evelyn is a knave.", "We have exhausted all possibilities for Evelyn and David, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Benjamin that Sofia is not a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Sofia is not a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Benjamin that Sofia is not a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that David is a knave.", "Assume David is a knight. No contradiction is found in their claim that David is a knight or Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that David is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('lying', 3), ('not', ('lying', 3)), ('or', ('telling-truth', 3), ('lying', 2)))", "index": 1014}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Grace, Jackson, Sofia, and Jacob. As Grace put it, \"Sofia is a knight and Jackson is a knight\". \"If Grace is a knave then Sofia is a knave\" - Jackson. Sofia told you that Grace is a knave or Jacob is a knight. Jacob expressed that Jackson is a knight if and only if Grace is a knave. So who is a knight and who is a knave?", "names": ["Grace", "Jackson", "Sofia", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Grace is a knave, Jackson is a knave, Sofia is a knight, and Jacob is a knave.", "solution_text_format": "(1) Grace is a knave\n(2) Jackson is a knave\n(3) Sofia is a knight\n(4) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Grace is a knight. No contradiction is found in their claim that Sofia is a knight and Jackson is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Grace is a knave or Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Grace is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Jacob that Jackson is a knight if and only if Grace is a knave.", "Jackson cannot be a knave, because this would contradict the claim of Grace that Sofia is a knight and Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Sofia that Grace is a knave or Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Grace that Sofia is a knight and Jackson is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Sofia is a knight and Jackson is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Grace is a knave or Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Grace is a knave.", "Jackson cannot be a knight, because this would contradict the false claim of Grace that Sofia is a knight and Jackson is a knight.", "Jackson cannot be a knave, because this would contradict the claim of Jacob that Jackson is a knight if and only if Grace is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Grace is a knave.", "Jackson cannot be a knight, because this would contradict the false claim of Grace that Sofia is a knight and Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Grace is a knave then Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 0), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 1015}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Michael, Avery, and Emily. Alexander said, \"Michael is not a knave.\" \"Avery is a knight and Emily is a knight,\" Michael claimed. \"Alexander is a knight and Michael is a knight\" - Avery. \"Michael is a knave and Alexander is a knight,\" Emily declared. So who is a knight and who is a knave?", "names": ["Alexander", "Michael", "Avery", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Alexander is a knave, Michael is a knave, Avery is a knave, and Emily is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) Michael is a knave\n(3) Avery is a knave\n(4) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Michael is not a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Avery is a knight and Emily is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Alexander is a knight and Michael is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Alexander is a knight.", "Emily cannot be a knave, because this would contradict the claim of Michael that Avery is a knight and Emily is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Avery.", "Avery cannot be a knave, because this would contradict the claim of Michael that Avery is a knight and Emily is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the claim of Alexander that Michael is not a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Michael is not a knave.", "Michael cannot be a knight, because this would contradict the false claim of Alexander that Michael is not a knave.", "Assume Michael is a knave. No contradiction is found in their false claim that Avery is a knight and Emily is a knight.", "Avery cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Michael is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Alexander is a knight and Michael is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Alexander is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Michael is a knave and Alexander is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 0)))", "index": 1016}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Scarlett, Sebastian, and Matthew. Joseph remarked, \"Matthew is a knight if and only if Sebastian is a knight\". Scarlett was heard saying, \"Joseph is a knight and Joseph is a knave\". Sebastian stated, \"If Joseph is a knight then Matthew is a knave\". \"Joseph is a knight if and only if Joseph is a knave\" - Matthew. So who is a knight and who is a knave?", "names": ["Joseph", "Scarlett", "Sebastian", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Joseph is a knave, Scarlett is a knave, Sebastian is a knight, and Matthew is a knave.", "solution_text_format": "(1) Joseph is a knave\n(2) Scarlett is a knave\n(3) Sebastian is a knight\n(4) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Sebastian is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Joseph is a knight if and only if Joseph is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Joseph is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Joseph that Matthew is a knight if and only if Sebastian is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knight then Matthew is a knave.", "We have exhausted all possibilities for Sebastian and Matthew, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if Sebastian is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Joseph is a knight if and only if Joseph is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Joseph is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Joseph is a knight then Matthew is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Joseph is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Joseph is a knight and Joseph is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 0)), ('->', ('telling-truth', 0), ('lying', 3)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 1017}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Daniel, Mia, and Jacob. Ava expressed that If Mia is a knight then Jacob is a knave. Daniel said that If Mia is a knave then Daniel is a knight. Mia remarked, \"If Ava is a knave then Jacob is a knight\". Jacob expressed that Daniel is a knave. So who is a knight and who is a knave?", "names": ["Ava", "Daniel", "Mia", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Ava is a knight, Daniel is a knight, Mia is a knight, and Jacob is a knave.", "solution_text_format": "(1) Ava is a knight\n(2) Daniel is a knight\n(3) Mia is a knight\n(4) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that If Mia is a knight then Jacob is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If Ava is a knave then Jacob is a knight.", "Jacob cannot be a knight, because this would contradict the claim of Ava that If Mia is a knight then Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that If Mia is a knave then Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 3)), ('->', ('lying', 2), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 3)), ('lying', 1))", "index": 1018}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Sophia, Victoria, and Luke. Elizabeth said that Sophia is not a knight. In a statement by Sophia: \"Victoria is a knave\". In a statement by Victoria: \"If Elizabeth is a knave then Sophia is a knight\". As Luke put it, \"Victoria is not a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Sophia", "Victoria", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Elizabeth is a knight, Sophia is a knave, Victoria is a knight, and Luke is a knave.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Sophia is a knave\n(3) Victoria is a knight\n(4) Luke is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Sophia is not a knight.", "Sophia cannot be a knight, because this would contradict the claim of Elizabeth that Sophia is not a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Sophia is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Victoria is not a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Victoria is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('lying', 2), ('->', ('lying', 0), ('telling-truth', 1)), ('not', ('telling-truth', 2)))", "index": 1019}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Luke, Olivia, and Charlotte. Jack told you that Charlotte is a knave or Olivia is a knight. Luke asserted: \"Charlotte is not a knave\". Olivia was heard saying, \"Luke is not a knight\". Charlotte told you that Olivia is a knave or Luke is a knave. So who is a knight and who is a knave?", "names": ["Jack", "Luke", "Olivia", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Jack is a knave, Luke is a knight, Olivia is a knave, and Charlotte is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Luke is a knight\n(3) Olivia is a knave\n(4) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Charlotte is a knave or Olivia is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Olivia is a knave or Luke is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of Olivia that Luke is not a knight.", "Luke cannot be a knave, because this would contradict the false claim of their own that Charlotte is not a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Jack that Charlotte is a knave or Olivia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Olivia is a knave or Luke is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Luke is not a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knave.", "Luke cannot be a knave, because this would contradict the false claim of Charlotte that Olivia is a knave or Luke is a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the false claim of Charlotte that Olivia is a knave or Luke is a knave.", "We have exhausted all possibilities for Olivia and Charlotte, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Charlotte is a knave or Olivia is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Olivia is a knave or Luke is a knave.", "Olivia cannot be a knight, because this would contradict the false claim of Jack that Charlotte is a knave or Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Charlotte is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 2)), ('not', ('lying', 3)), ('not', ('telling-truth', 1)), ('or', ('lying', 2), ('lying', 1)))", "index": 1020}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Olivia, Alexander, and Sofia. Chloe said that If Sofia is a knight then Olivia is a knave. \"Chloe is a knave if and only if Olivia is a knight\" - Olivia. As Alexander put it, \"Olivia is a knight if and only if Chloe is a knight\". Sofia noted, \"Olivia is a knight if and only if Chloe is a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Olivia", "Alexander", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Chloe is a knave, Olivia is a knight, Alexander is a knave, and Sofia is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Olivia is a knight\n(3) Alexander is a knave\n(4) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that If Sofia is a knight then Olivia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Chloe is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Chloe that If Sofia is a knight then Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Chloe is a knave if and only if Olivia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Chloe is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if Olivia is a knight.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Chloe is a knave if and only if Olivia is a knight.", "We have exhausted all possibilities for Olivia and Sofia, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Sofia is a knight then Olivia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Chloe is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Olivia is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Olivia is a knight if and only if Chloe is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 1021}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Matthew, Ethan, and Alexander. \"Alexander is a knight or Ethan is a knight,\" Jack declared. \"Alexander is not a knight\" - Matthew. Ethan noted, \"Jack is a knave if and only if Matthew is a knight\". Alexander stated, \"If Matthew is a knave then Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Matthew", "Ethan", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Jack is a knight, Matthew is a knave, Ethan is a knight, and Alexander is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Matthew is a knave\n(3) Ethan is a knight\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Alexander is a knight or Ethan is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Matthew is a knave then Alexander is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that Alexander is not a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Alexander is not a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Jack is a knave if and only if Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('telling-truth', 3)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 3)))", "index": 1022}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Michael, Lucas, and Jackson. In a statement by Owen: \"Jackson is a knave\". Michael stated, \"Owen is a knight\". \"Jackson is not a knight,\" Lucas mentioned. Jackson remarked, \"Lucas is a knight if and only if Michael is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Michael", "Lucas", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Owen is a knave, Michael is a knave, Lucas is a knave, and Jackson is a knight.", "solution_text_format": "(1) Owen is a knave\n(2) Michael is a knave\n(3) Lucas is a knave\n(4) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Owen that Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Lucas is a knight if and only if Michael is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Michael cannot be a knight, because this would contradict the false claim of Jackson that Lucas is a knight if and only if Michael is a knight.", "Michael cannot be a knave, because this would contradict the false claim of their own that Owen is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Lucas.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Jackson is not a knight.", "We have exhausted all possibilities for Lucas and Jackson, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Michael is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Jackson is not a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that Owen is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that Owen is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('telling-truth', 0), ('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)))", "index": 1023}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Aiden, Charlotte, and Evelyn. According to Sophia, \"Charlotte is a knight\". \"Sophia is a knave or Evelyn is a knight,\" Aiden claimed. Charlotte remarked, \"If Evelyn is a knight then Aiden is a knave\". Evelyn expressed that Aiden is a knight if and only if Charlotte is a knave. So who is a knight and who is a knave?", "names": ["Sophia", "Aiden", "Charlotte", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Sophia is a knave, Aiden is a knight, Charlotte is a knave, and Evelyn is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Aiden is a knight\n(3) Charlotte is a knave\n(4) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Evelyn is a knight then Aiden is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Charlotte is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Charlotte that If Evelyn is a knight then Aiden is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that Sophia is a knave or Evelyn is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Charlotte is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Sophia is a knave or Evelyn is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of Evelyn that Aiden is a knight if and only if Charlotte is a knave.", "We have exhausted all possibilities for Aiden and Evelyn, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Sophia that Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Sophia that Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Aiden is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Charlotte is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Sophia is a knave or Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('or', ('lying', 0), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 2)))", "index": 1024}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, Jackson, Ethan, and Charlotte. Sebastian was heard saying, \"Charlotte is not a knave\". \"Ethan is a knight or Charlotte is a knight\" - Jackson. In a statement by Ethan: \"If Charlotte is a knight then Jackson is a knight\". \"Charlotte is a knight and Ethan is a knave,\" Charlotte claimed. So who is a knight and who is a knave?", "names": ["Sebastian", "Jackson", "Ethan", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Sebastian is a knave, Jackson is a knight, Ethan is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Jackson is a knight\n(3) Ethan is a knight\n(4) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Charlotte is not a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Charlotte is a knight and Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Charlotte that Charlotte is a knight and Ethan is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that If Charlotte is a knight then Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Ethan that If Charlotte is a knight then Jackson is a knight.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Ethan is a knight or Charlotte is a knight.", "We have exhausted all possibilities for Jackson and Ethan, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Sebastian that Charlotte is not a knave.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Charlotte is not a knave.", "Charlotte cannot be a knight, because this would contradict the false claim of Sebastian that Charlotte is not a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight and Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Charlotte is a knight then Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Ethan is a knight or Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('lying', 2)))", "index": 1025}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Olivia, Joseph, and Evelyn. Samuel expressed that Samuel is a knight if and only if Olivia is a knave. Olivia said, \"Joseph is a knight if and only if Samuel is a knave.\" Joseph expressed that Evelyn is a knight or Evelyn is a knave. In a statement by Evelyn: \"If Samuel is a knave then Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Olivia", "Joseph", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Samuel is a knight, Olivia is a knave, Joseph is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Olivia is a knave\n(3) Joseph is a knight\n(4) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Samuel that Samuel is a knight if and only if Olivia is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Samuel is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Evelyn is a knight or Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Samuel is a knave then Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('or', ('telling-truth', 3), ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 2)))", "index": 1026}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Aiden, Scarlett, and Harper. In a statement by Oliver: \"Scarlett is a knave\". Aiden said, \"If Aiden is a knight then Harper is a knave.\" Scarlett said, \"Aiden is a knight.\" In Harper's words: \"Oliver is a knight and Harper is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Aiden", "Scarlett", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Oliver is a knave, Aiden is a knight, Scarlett is a knight, and Harper is a knave.", "solution_text_format": "(1) Oliver is a knave\n(2) Aiden is a knight\n(3) Scarlett is a knight\n(4) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Scarlett is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Oliver that Scarlett is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Aiden is a knight.", "Aiden cannot be a knight, because this would contradict the false claim of Scarlett that Aiden is a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knight then Harper is a knave.", "We have exhausted all possibilities for Aiden and Scarlett, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Scarlett is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Aiden that If Aiden is a knight then Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that Oliver is a knight and Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('->', ('telling-truth', 1), ('lying', 3)), ('telling-truth', 1), ('and', ('telling-truth', 0), ('telling-truth', 3)))", "index": 1027}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Abigail, Chloe, and Riley. As Elizabeth put it, \"Abigail is a knave if and only if Riley is a knave\". \"Elizabeth is a knight or Elizabeth is a knave\" - Abigail. \"If Elizabeth is a knave then Abigail is a knight,\" Chloe declared. Riley noted, \"Abigail is a knave if and only if Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Abigail", "Chloe", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Elizabeth is a knave, Abigail is a knight, Chloe is a knight, and Riley is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Abigail is a knight\n(3) Chloe is a knight\n(4) Riley is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Riley is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Elizabeth is a knight or Elizabeth is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Riley that Abigail is a knave if and only if Chloe is a knight.", "Chloe cannot be a knave, because this would contradict the false claim of their own that If Elizabeth is a knave then Abigail is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the claim of Elizabeth that Abigail is a knave if and only if Riley is a knave.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Elizabeth is a knight or Elizabeth is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Riley is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Elizabeth is a knight or Elizabeth is a knave.", "Riley cannot be a knight, because this would contradict the false claim of Elizabeth that Abigail is a knave if and only if Riley is a knave.", "Assume Riley is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Chloe is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Elizabeth is a knave then Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 3)), ('or', ('telling-truth', 0), ('lying', 0)), ('->', ('lying', 0), ('telling-truth', 1)), ('<=>', ('lying', 1), ('telling-truth', 2)))", "index": 1028}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Abigail, David, and Matthew. \"Matthew is a knave if and only if Matthew is a knight,\" Lily claimed. Abigail said that If Matthew is a knight then Lily is a knave. David remarked, \"Matthew is a knave or Lily is a knight\". According to Matthew, \"Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Lily", "Abigail", "David", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Lily is a knave, Abigail is a knight, David is a knave, and Matthew is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Abigail is a knight\n(3) David is a knave\n(4) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Lily cannot be a knight, because this would contradict the claim of their own that Matthew is a knave if and only if Matthew is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Matthew is a knight then Lily is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Matthew is a knave or Lily is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Matthew is a knave or Lily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('lying', 0)), ('or', ('lying', 3), ('telling-truth', 0)), ('telling-truth', 1))", "index": 1029}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Victoria, Avery, and Evelyn. Lucas remarked, \"Victoria is a knave if and only if Victoria is a knight\". Victoria expressed that Evelyn is a knight or Evelyn is a knave. In Avery's words: \"If Lucas is a knight then Victoria is a knave\". According to Evelyn, \"Avery is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Victoria", "Avery", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Lucas is a knave, Victoria is a knight, Avery is a knight, and Evelyn is a knight.", "solution_text_format": "(1) Lucas is a knave\n(2) Victoria is a knight\n(3) Avery is a knight\n(4) Evelyn is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Lucas cannot be a knight, because this would contradict the claim of their own that Victoria is a knave if and only if Victoria is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Evelyn is a knight or Evelyn is a knave.", "Assume Evelyn is a knight. No contradiction is found in their claim that Avery is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that If Lucas is a knight then Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('lying', 3)), ('->', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 2))", "index": 1030}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Grace, Avery, and Aurora. \"Grace is not a knight\" - Alexander. Grace expressed that Aurora is a knight and Grace is a knight. Avery was heard saying, \"Grace is a knight if and only if Avery is a knight\". \"Avery is not a knave,\" Aurora claimed. So who is a knight and who is a knave?", "names": ["Alexander", "Grace", "Avery", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Alexander is a knave, Grace is a knight, Avery is a knight, and Aurora is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Grace is a knight\n(3) Avery is a knight\n(4) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of Alexander that Grace is not a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Aurora is a knight and Grace is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Grace is a knight if and only if Avery is a knight.", "Avery cannot be a knave, because this would contradict the false claim of their own that Grace is a knight if and only if Avery is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Avery is not a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Grace is a knight if and only if Avery is a knight.", "Avery cannot be a knave, because this would contradict the false claim of their own that Grace is a knight if and only if Avery is a knight.", "We have exhausted all possibilities for Avery, Aurora, and Grace, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Aurora is a knight and Grace is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Grace is a knight if and only if Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('lying', 2)))", "index": 1031}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Charlotte, Elizabeth, and Alexander. As Riley put it, \"Alexander is a knight if and only if Elizabeth is a knight\". In Charlotte's words: \"Riley is a knight and Elizabeth is a knight\". Elizabeth said, \"If Alexander is a knight then Charlotte is a knight.\" Alexander was heard saying, \"If Riley is a knight then Elizabeth is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Charlotte", "Elizabeth", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Riley is a knave, Charlotte is a knave, Elizabeth is a knave, and Alexander is a knight.", "solution_text_format": "(1) Riley is a knave\n(2) Charlotte is a knave\n(3) Elizabeth is a knave\n(4) Alexander is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Elizabeth is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Riley is a knight then Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Alexander that If Riley is a knight then Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the claim of Riley that Alexander is a knight if and only if Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Riley is a knight then Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Riley that Alexander is a knight if and only if Elizabeth is a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Alexander is a knight then Charlotte is a knight.", "We have exhausted all possibilities for Elizabeth and Alexander, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if Elizabeth is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Riley is a knight then Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Riley that Alexander is a knight if and only if Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Alexander is a knight then Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Riley is a knight and Elizabeth is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Riley is a knight and Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 2)))", "index": 1032}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Amelia, Sophia, and Sebastian. Ava expressed that Amelia is a knave if and only if Sophia is a knight. Amelia expressed that Sophia is not a knave. Sophia remarked, \"Ava is a knave\". Sebastian was heard saying, \"Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Amelia", "Sophia", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Ava is a knave, Amelia is a knight, Sophia is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Amelia is a knight\n(3) Sophia is a knight\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Amelia is a knave if and only if Sophia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Sophia cannot be a knight, because this would contradict the claim of Ava that Amelia is a knave if and only if Sophia is a knight.", "Sophia cannot be a knave, because this would contradict the claim of Amelia that Sophia is not a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Sophia is not a knave.", "Sophia cannot be a knight, because this would contradict the false claim of Amelia that Sophia is not a knave.", "Sophia cannot be a knave, because this would contradict the claim of Ava that Amelia is a knave if and only if Sophia is a knight.", "We have exhausted all possibilities for Sophia and Amelia, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Sophia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Ava is a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 2)), ('not', ('lying', 2)), ('lying', 0), ('telling-truth', 1))", "index": 1033}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Aiden, Scarlett, and Sofia. Chloe remarked, \"Aiden is a knave\". In a statement by Aiden: \"If Aiden is a knight then Sofia is a knight\". Scarlett stated, \"Sofia is a knave or Aiden is a knight\". \"Chloe is not a knight\" - Sofia. So who is a knight and who is a knave?", "names": ["Chloe", "Aiden", "Scarlett", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Chloe is a knave, Aiden is a knight, Scarlett is a knight, and Sofia is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Aiden is a knight\n(3) Scarlett is a knight\n(4) Sofia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Chloe that Aiden is a knave.", "Aiden cannot be a knave, because this would contradict the false claim of their own that If Aiden is a knight then Sofia is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that Chloe is not a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Sofia is a knave or Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 1)), ('not', ('telling-truth', 0)))", "index": 1034}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Evelyn, Mia, and Scarlett. \"Evelyn is a knave and William is a knight,\" William mentioned. \"If Scarlett is a knave then William is a knave,\" Evelyn mentioned. Mia expressed that If Evelyn is a knave then William is a knight. \"Evelyn is a knight or Evelyn is a knave,\" Scarlett declared. So who is a knight and who is a knave?", "names": ["William", "Evelyn", "Mia", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "William is a knave, Evelyn is a knight, Mia is a knight, and Scarlett is a knight.", "solution_text_format": "(1) William is a knave\n(2) Evelyn is a knight\n(3) Mia is a knight\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Evelyn is a knave and William is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of William that Evelyn is a knave and William is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that If Scarlett is a knave then William is a knave.", "Scarlett cannot be a knight, because this would contradict the false claim of Evelyn that If Scarlett is a knave then William is a knave.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight or Evelyn is a knave.", "We have exhausted all possibilities for Scarlett and Evelyn, so let us go back and reconsider William.", "Assume William is a knave. No contradiction is found in their false claim that Evelyn is a knave and William is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that If Scarlett is a knave then William is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Evelyn is a knight or Evelyn is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that If Evelyn is a knave then William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('->', ('lying', 3), ('lying', 0)), ('->', ('lying', 1), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 1)))", "index": 1035}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Ella, Liam, and Jacob. In Riley's words: \"If Riley is a knight then Liam is a knight\". Ella remarked, \"If Riley is a knave then Jacob is a knave\". Liam expressed that Jacob is a knave. According to Jacob, \"Ella is a knight and Ella is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Ella", "Liam", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Riley is a knight, Ella is a knight, Liam is a knight, and Jacob is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Ella is a knight\n(3) Liam is a knight\n(4) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that If Riley is a knight then Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Liam that Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Ella is a knight and Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that If Riley is a knave then Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 0), ('lying', 3)), ('lying', 3), ('and', ('telling-truth', 1), ('lying', 1)))", "index": 1036}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Logan, Sebastian, and Isabella. Scarlett expressed that Isabella is not a knight. \"Logan is a knight and Isabella is a knight,\" Logan claimed. As Sebastian put it, \"Logan is a knave or Isabella is a knight\". Isabella expressed that Logan is a knight if and only if Logan is a knave. So who is a knight and who is a knave?", "names": ["Scarlett", "Logan", "Sebastian", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Scarlett is a knight, Logan is a knave, Sebastian is a knight, and Isabella is a knave.", "solution_text_format": "(1) Scarlett is a knight\n(2) Logan is a knave\n(3) Sebastian is a knight\n(4) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Isabella is not a knight.", "Isabella cannot be a knight, because this would contradict the claim of Scarlett that Isabella is not a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of their own that Logan is a knight and Isabella is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight and Isabella is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Logan is a knave or Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('lying', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "index": 1037}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: David, Aiden, Charlotte, and Scarlett. David commented, \"Charlotte is a knight\". Aiden stated, \"David is a knight\". Charlotte noted, \"Scarlett is a knave if and only if Scarlett is a knight\". Scarlett expressed that Aiden is not a knight. So who is a knight and who is a knave?", "names": ["David", "Aiden", "Charlotte", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "David is a knave, Aiden is a knave, Charlotte is a knave, and Scarlett is a knight.", "solution_text_format": "(1) David is a knave\n(2) Aiden is a knave\n(3) Charlotte is a knave\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume David is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave if and only if Scarlett is a knight.", "Charlotte cannot be a knave, because this would contradict the claim of David that Charlotte is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of David that Charlotte is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that David is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that David is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('telling-truth', 0), ('<=>', ('lying', 3), ('telling-truth', 3)), ('not', ('telling-truth', 1)))", "index": 1038}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Luke, William, and Michael. Noah asserted: \"Luke is a knave\". Luke remarked, \"William is a knave or Michael is a knave\". William was heard saying, \"Michael is a knight if and only if William is a knight\". Michael remarked, \"Luke is a knave\". So who is a knight and who is a knave?", "names": ["Noah", "Luke", "William", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Noah is a knight, Luke is a knave, William is a knight, and Michael is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Luke is a knave\n(3) William is a knight\n(4) Michael is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Noah that Luke is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that William is a knave or Michael is a knave.", "Assume William is a knight. No contradiction is found in their claim that Michael is a knight if and only if William is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('or', ('lying', 2), ('lying', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('lying', 1))", "index": 1039}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Amelia, Aiden, and Zoey. Samuel said, \"If Amelia is a knight then Amelia is a knave.\" Amelia said, \"If Aiden is a knight then Zoey is a knight.\" \"Amelia is a knave and Samuel is a knight,\" Aiden declared. Zoey was heard saying, \"Samuel is a knight or Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Amelia", "Aiden", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Samuel is a knave, Amelia is a knight, Aiden is a knave, and Zoey is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Amelia is a knight\n(3) Aiden is a knave\n(4) Zoey is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that If Amelia is a knight then Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Samuel that If Amelia is a knight then Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that If Aiden is a knight then Zoey is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Amelia is a knave and Samuel is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Amelia that If Aiden is a knight then Zoey is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight or Amelia is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the false claim of Amelia that If Aiden is a knight then Zoey is a knight.", "We have exhausted all possibilities for Aiden and Amelia, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that If Amelia is a knight then Amelia is a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that If Aiden is a knight then Zoey is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Samuel is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Amelia is a knave and Samuel is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that Samuel is a knight or Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('lying', 1), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "index": 1040}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Liam, Samuel, and Jackson. According to Lily, \"Lily is a knight if and only if Samuel is a knave\". In Liam's words: \"Samuel is a knave\". Samuel said that Lily is a knave. In a statement by Jackson: \"Jackson is a knight or Samuel is a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Liam", "Samuel", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Lily is a knight, Liam is a knight, Samuel is a knave, and Jackson is a knight.", "solution_text_format": "(1) Lily is a knight\n(2) Liam is a knight\n(3) Samuel is a knave\n(4) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight if and only if Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Lily that Lily is a knight if and only if Samuel is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Lily is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that Samuel is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Jackson is a knight or Samuel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 2)), ('lying', 2), ('lying', 0), ('or', ('telling-truth', 3), ('lying', 2)))", "index": 1041}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Joseph, Alexander, and Logan. \"Alexander is a knave and Alexander is a knight,\" Harper claimed. Joseph noted, \"Alexander is a knight or Alexander is a knave\". Alexander stated, \"Logan is not a knight\". According to Logan, \"If Joseph is a knave then Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Joseph", "Alexander", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Harper is a knave, Joseph is a knight, Alexander is a knave, and Logan is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Joseph is a knight\n(3) Alexander is a knave\n(4) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Harper cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Alexander is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Alexander is a knave and Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Logan is not a knight.", "Logan cannot be a knight, because this would contradict the claim of Alexander that Logan is not a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that If Joseph is a knave then Joseph is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Logan that If Joseph is a knave then Joseph is a knight.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Alexander is a knight or Alexander is a knave.", "We have exhausted all possibilities for Joseph and Logan, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Logan is not a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Joseph is a knave then Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Alexander is a knight or Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('lying', 2)), ('not', ('telling-truth', 3)), ('->', ('lying', 1), ('telling-truth', 1)))", "index": 1042}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Liam, David, and Sophia. Ava told you that Sophia is a knave or Liam is a knave. Liam told you that David is a knave or Ava is a knight. \"Sophia is a knave,\" David mentioned. Sophia was heard saying, \"If Liam is a knave then Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Liam", "David", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Ava is a knave, Liam is a knight, David is a knave, and Sophia is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Liam is a knight\n(3) David is a knave\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Sophia is a knave or Liam is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Liam is a knave then Sophia is a knight.", "Liam cannot be a knight, because this would contradict the claim of Ava that Sophia is a knave or Liam is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that David is a knave or Ava is a knight.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that If Liam is a knave then Sophia is a knight.", "Liam cannot be a knight, because this would contradict the false claim of Sophia that If Liam is a knave then Sophia is a knight.", "Liam cannot be a knave, because this would contradict the false claim of their own that David is a knave or Ava is a knight.", "We have exhausted all possibilities for Liam and Sophia, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Sophia is a knave or Liam is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If Liam is a knave then Sophia is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that David is a knave or Ava is a knight.", "David cannot be a knight, because this would contradict the claim of Liam that David is a knave or Ava is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Sophia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 1)), ('or', ('lying', 2), ('telling-truth', 0)), ('lying', 3), ('->', ('lying', 1), ('telling-truth', 3)))", "index": 1043}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Logan, Owen, and James. \"Logan is a knave,\" Chloe claimed. Logan expressed that Owen is a knave and Chloe is a knave. Owen said that James is not a knight. \"Logan is a knight and Chloe is a knight\" - James. So who is a knight and who is a knave?", "names": ["Chloe", "Logan", "Owen", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Chloe is a knight, Logan is a knave, Owen is a knight, and James is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Logan is a knave\n(3) Owen is a knight\n(4) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Chloe that Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Owen is a knave and Chloe is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of Owen that James is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Logan is a knight and Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('lying', 2), ('lying', 0)), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 1044}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jackson, Samuel, Scarlett, and Daniel. Jackson said that Jackson is a knight and Samuel is a knight. In a statement by Samuel: \"Scarlett is a knight if and only if Daniel is a knave\". Scarlett stated, \"Jackson is a knave or Daniel is a knight\". \"If Scarlett is a knave then Scarlett is a knight\" - Daniel. So who is a knight and who is a knave?", "names": ["Jackson", "Samuel", "Scarlett", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Jackson is a knave, Samuel is a knave, Scarlett is a knight, and Daniel is a knight.", "solution_text_format": "(1) Jackson is a knave\n(2) Samuel is a knave\n(3) Scarlett is a knight\n(4) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Jackson is a knight and Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Daniel is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jackson is a knave or Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Samuel that Scarlett is a knight if and only if Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the claim of Scarlett that Jackson is a knave or Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Jackson is a knave or Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Scarlett that Jackson is a knave or Daniel is a knight.", "Daniel cannot be a knave, because this would contradict the claim of Samuel that Scarlett is a knight if and only if Daniel is a knave.", "We have exhausted all possibilities for Daniel and Scarlett, so let us go back and reconsider Samuel.", "Samuel cannot be a knave, because this would contradict the claim of Jackson that Jackson is a knight and Samuel is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Jackson is a knight and Samuel is a knight.", "Assume Samuel is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Daniel is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jackson is a knave or Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of Samuel that Scarlett is a knight if and only if Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that If Scarlett is a knave then Scarlett is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Scarlett.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Jackson is a knave or Daniel is a knight.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Daniel is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Jackson is a knave or Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Scarlett is a knave then Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 3)), ('->', ('lying', 2), ('telling-truth', 2)))", "index": 1045}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Matthew, Riley, and Jack. Henry was heard saying, \"Matthew is a knight and Henry is a knight\". Matthew noted, \"Riley is a knight and Jack is a knight\". Riley said, \"Jack is a knave and Jack is a knight.\" Jack was heard saying, \"Henry is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Matthew", "Riley", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Henry is a knave, Matthew is a knave, Riley is a knave, and Jack is a knave.", "solution_text_format": "(1) Henry is a knave\n(2) Matthew is a knave\n(3) Riley is a knave\n(4) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Matthew is a knight and Henry is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Riley is a knight and Jack is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Jack is a knave and Jack is a knight.", "Riley cannot be a knave, because this would contradict the claim of Matthew that Riley is a knight and Jack is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the claim of Henry that Matthew is a knight and Henry is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Matthew is a knight and Henry is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Riley is a knight and Jack is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Jack is a knave and Jack is a knight.", "Riley cannot be a knave, because this would contradict the claim of Matthew that Riley is a knight and Jack is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Riley is a knight and Jack is a knight.", "Riley cannot be a knight, because this would contradict the claim of their own that Jack is a knave and Jack is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Jack is a knave and Jack is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Henry is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Henry is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('lying', 3), ('telling-truth', 3)), ('telling-truth', 0))", "index": 1046}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Amelia, James, and William. According to Aiden, \"James is a knave if and only if Amelia is a knave\". Amelia told you that Aiden is a knave or Aiden is a knight. James asserted: \"James is a knight or William is a knight\". William expressed that Aiden is a knave or Aiden is a knight. So who is a knight and who is a knave?", "names": ["Aiden", "Amelia", "James", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Aiden is a knight, Amelia is a knight, James is a knight, and William is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Amelia is a knight\n(3) James is a knight\n(4) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that James is a knave if and only if Amelia is a knave.", "Assume James is a knight. No contradiction is found in their claim that James is a knight or William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Aiden is a knave or Aiden is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Aiden is a knave or Aiden is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 1047}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emily, Scarlett, Alexander, and Matthew. Emily stated, \"Emily is a knight if and only if Matthew is a knight\". Scarlett stated, \"Alexander is a knave or Matthew is a knave\". As Alexander put it, \"If Scarlett is a knave then Emily is a knave\". According to Matthew, \"If Emily is a knight then Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Emily", "Scarlett", "Alexander", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Emily is a knave, Scarlett is a knave, Alexander is a knight, and Matthew is a knight.", "solution_text_format": "(1) Emily is a knave\n(2) Scarlett is a knave\n(3) Alexander is a knight\n(4) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight if and only if Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Emily is a knight then Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Scarlett is a knave then Emily is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Alexander is a knave or Matthew is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Alexander that If Scarlett is a knave then Emily is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the claim of Matthew that If Emily is a knight then Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the claim of Emily that Emily is a knight if and only if Matthew is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Emily is a knight if and only if Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that If Emily is a knight then Alexander is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that If Scarlett is a knave then Emily is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of their own that Alexander is a knave or Matthew is a knave.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Alexander is a knave or Matthew is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('lying', 2), ('lying', 3)), ('->', ('lying', 1), ('lying', 0)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "index": 1048}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Aria, Chloe, and Emily. According to Samuel, \"Chloe is a knave and Aria is a knave\". As Aria put it, \"Chloe is a knight and Samuel is a knight\". \"Samuel is a knight or Emily is a knight,\" Chloe declared. Emily expressed that Chloe is a knight if and only if Aria is a knave. So who is a knight and who is a knave?", "names": ["Samuel", "Aria", "Chloe", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Samuel is a knave, Aria is a knave, Chloe is a knight, and Emily is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Aria is a knave\n(3) Chloe is a knight\n(4) Emily is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Chloe is a knave and Aria is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Samuel that Chloe is a knave and Aria is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight or Emily is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Chloe is a knave and Aria is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Samuel is a knight or Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and Samuel is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Chloe is a knight and Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "index": 1049}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Oliver, Joseph, and Benjamin. As Matthew put it, \"Oliver is a knave or Joseph is a knave\". As Oliver put it, \"Joseph is a knight or Benjamin is a knight\". As Joseph put it, \"Joseph is a knight or Matthew is a knight\". Benjamin stated, \"Oliver is a knave if and only if Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Oliver", "Joseph", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Matthew is a knave, Oliver is a knight, Joseph is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Matthew is a knave\n(2) Oliver is a knight\n(3) Joseph is a knight\n(4) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Oliver is a knave or Joseph is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Joseph is a knight or Benjamin is a knight.", "Joseph cannot be a knight, because this would contradict the claim of Matthew that Oliver is a knave or Joseph is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Joseph is a knight or Matthew is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Joseph is a knight or Benjamin is a knight.", "Joseph cannot be a knight, because this would contradict the false claim of Oliver that Joseph is a knight or Benjamin is a knight.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Joseph is a knight or Matthew is a knight.", "We have exhausted all possibilities for Joseph and Oliver, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Oliver is a knave or Joseph is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Joseph is a knight or Benjamin is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Joseph is a knight or Matthew is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Oliver is a knave if and only if Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 2)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('telling-truth', 0)), ('<=>', ('lying', 1), ('telling-truth', 0)))", "index": 1050}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Sofia, James, and Benjamin. Olivia told you that Sofia is a knight. In Sofia's words: \"Olivia is a knave and Sofia is a knight\". As James put it, \"Benjamin is not a knight\". Benjamin said that Olivia is not a knight. So who is a knight and who is a knave?", "names": ["Olivia", "Sofia", "James", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Olivia is a knave, Sofia is a knave, James is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Olivia is a knave\n(2) Sofia is a knave\n(3) James is a knave\n(4) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Olivia is a knight. No contradiction is found in their claim that Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Olivia is a knave and Sofia is a knight.", "Sofia cannot be a knave, because this would contradict the claim of Olivia that Sofia is a knight.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Sofia is a knight.", "Sofia cannot be a knight, because this would contradict the false claim of Olivia that Sofia is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Olivia is a knave and Sofia is a knight.", "Assume James is a knight. No contradiction is found in their claim that Benjamin is not a knight.", "Benjamin cannot be a knight, because this would contradict the claim of James that Benjamin is not a knight.", "Benjamin cannot be a knave, because this would contradict the false claim of their own that Olivia is not a knight.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Benjamin is not a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Olivia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('lying', 0), ('telling-truth', 1)), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 0)))", "index": 1051}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Ethan, Avery, and Sophia. Samuel expressed that Sophia is a knight and Sophia is a knave. Ethan said, \"Avery is a knight.\" Avery said, \"Samuel is a knave.\" Sophia told you that Avery is a knight or Sophia is a knight. So who is a knight and who is a knave?", "names": ["Samuel", "Ethan", "Avery", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Samuel is a knave, Ethan is a knight, Avery is a knight, and Sophia is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) Ethan is a knight\n(3) Avery is a knight\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Samuel cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Sophia is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Sophia is a knight and Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Avery is a knight or Sophia is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Samuel is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 3)), ('telling-truth', 2), ('lying', 0), ('or', ('telling-truth', 2), ('telling-truth', 3)))", "index": 1052}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Sebastian, Logan, and Avery. Emma stated, \"If Sebastian is a knave then Logan is a knight\". \"Emma is a knight or Sebastian is a knight,\" Sebastian mentioned. Logan noted, \"Emma is a knave or Sebastian is a knight\". Avery said that Logan is a knight if and only if Emma is a knight. So who is a knight and who is a knave?", "names": ["Emma", "Sebastian", "Logan", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Emma is a knight, Sebastian is a knight, Logan is a knight, and Avery is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Sebastian is a knight\n(3) Logan is a knight\n(4) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that If Sebastian is a knave then Logan is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Emma is a knight or Sebastian is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Emma is a knave or Sebastian is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Logan is a knight if and only if Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))", "index": 1053}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Joseph, Mia, and Evelyn. Victoria was heard saying, \"Victoria is a knight or Evelyn is a knight\". \"Evelyn is a knave or Mia is a knight,\" Joseph declared. In a statement by Mia: \"Victoria is a knave\". Evelyn stated, \"Victoria is a knave and Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Victoria", "Joseph", "Mia", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Victoria is a knight, Joseph is a knight, Mia is a knave, and Evelyn is a knave.", "solution_text_format": "(1) Victoria is a knight\n(2) Joseph is a knight\n(3) Mia is a knave\n(4) Evelyn is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight or Evelyn is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Joseph is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Victoria is a knave and Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Evelyn is a knave or Mia is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Victoria is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 2)), ('lying', 0), ('and', ('lying', 0), ('telling-truth', 1)))", "index": 1054}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Liam, Aiden, and Chloe. In Logan's words: \"Liam is a knave if and only if Liam is a knight\". In a statement by Liam: \"Logan is a knave or Chloe is a knight\". Aiden expressed that Aiden is a knight or Logan is a knave. In a statement by Chloe: \"Liam is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Liam", "Aiden", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Logan is a knave, Liam is a knight, Aiden is a knight, and Chloe is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Liam is a knight\n(3) Aiden is a knight\n(4) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Logan cannot be a knight, because this would contradict the claim of their own that Liam is a knave if and only if Liam is a knight.", "Assume Logan is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Logan is a knave or Chloe is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Liam is a knave.", "Assume Chloe is a knave. No contradiction is found in their false claim that Liam is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight or Logan is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 0)), ('lying', 1))", "index": 1055}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Sofia, Mia, and Noah. Chloe asserted: \"Noah is a knave or Mia is a knave\". \"Chloe is a knight if and only if Mia is a knight,\" Sofia mentioned. Mia expressed that Chloe is a knave and Chloe is a knight. Noah said, \"Chloe is a knave and Sofia is a knave.\" So who is a knight and who is a knave?", "names": ["Chloe", "Sofia", "Mia", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Chloe is a knight, Sofia is a knave, Mia is a knave, and Noah is a knave.", "solution_text_format": "(1) Chloe is a knight\n(2) Sofia is a knave\n(3) Mia is a knave\n(4) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Noah is a knave or Mia is a knave.", "Noah cannot be a knight, because this would contradict the claim of their own that Chloe is a knave and Sofia is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Chloe is a knave and Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Mia is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Chloe is a knave and Chloe is a knight.", "Mia cannot be a knave, because this would contradict the claim of Sofia that Chloe is a knight if and only if Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Mia is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Sofia that Chloe is a knight if and only if Mia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Chloe is a knave and Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('lying', 0), ('telling-truth', 0)), ('and', ('lying', 0), ('lying', 1)))", "index": 1056}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Ella, Owen, and Ethan. \"Ella is a knave,\" Sophia declared. \"Ella is a knight or Sophia is a knight,\" Ella claimed. As Owen put it, \"Ethan is a knave and Sophia is a knight\". \"Ella is a knave and Owen is a knave,\" Ethan claimed. So who is a knight and who is a knave?", "names": ["Sophia", "Ella", "Owen", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Sophia is a knave, Ella is a knight, Owen is a knave, and Ethan is a knave.", "solution_text_format": "(1) Sophia is a knave\n(2) Ella is a knight\n(3) Owen is a knave\n(4) Ethan is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Sophia that Ella is a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that Ella is a knight or Sophia is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Ella is a knight or Sophia is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Sophia is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Ethan is a knave and Sophia is a knight.", "Ethan cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Owen is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Ella is a knave and Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 3), ('telling-truth', 0)), ('and', ('lying', 1), ('lying', 2)))", "index": 1057}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, Luke, Lucas, and Daniel. In Avery's words: \"If Lucas is a knave then Daniel is a knave\". Luke said that Daniel is a knave or Avery is a knave. In Lucas's words: \"Luke is a knave if and only if Luke is a knight\". Daniel asserted: \"Avery is a knight or Avery is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Luke", "Lucas", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Avery is a knave, Luke is a knight, Lucas is a knave, and Daniel is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Luke is a knight\n(3) Lucas is a knave\n(4) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that If Lucas is a knave then Daniel is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Luke is a knave if and only if Luke is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Daniel is a knave or Avery is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Avery that If Lucas is a knave then Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of their own that Avery is a knight or Avery is a knave.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Daniel is a knave or Avery is a knave.", "Daniel cannot be a knight, because this would contradict the claim of Avery that If Lucas is a knave then Daniel is a knave.", "Daniel cannot be a knave, because this would contradict the false claim of Luke that Daniel is a knave or Avery is a knave.", "We have exhausted all possibilities for Daniel, Luke, and Lucas, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that If Lucas is a knave then Daniel is a knave.", "Lucas cannot be a knight, because this would contradict the false claim of Avery that If Lucas is a knave then Daniel is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Daniel is a knave or Avery is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Avery is a knight or Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('lying', 3)), ('or', ('lying', 3), ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 1058}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Lucas, Mia, and Benjamin. Charlotte was heard saying, \"Benjamin is a knight\". Lucas asserted: \"Mia is a knave or Benjamin is a knave\". According to Mia, \"Benjamin is not a knight\". \"Lucas is not a knave,\" Benjamin claimed. So who is a knight and who is a knave?", "names": ["Charlotte", "Lucas", "Mia", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Charlotte is a knight, Lucas is a knight, Mia is a knave, and Benjamin is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Lucas is a knight\n(3) Mia is a knave\n(4) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Lucas is not a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Mia is a knave or Benjamin is a knave.", "Mia cannot be a knight, because this would contradict the claim of Lucas that Mia is a knave or Benjamin is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Benjamin is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('or', ('lying', 2), ('lying', 3)), ('not', ('telling-truth', 3)), ('not', ('lying', 1)))", "index": 1059}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Riley, Samuel, and Liam. Isabella stated, \"Riley is a knight or Isabella is a knight\". Riley was heard saying, \"Isabella is a knight or Liam is a knight\". \"If Samuel is a knight then Riley is a knight,\" Samuel declared. Liam noted, \"Samuel is a knight or Isabella is a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Riley", "Samuel", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Isabella is a knight, Riley is a knight, Samuel is a knight, and Liam is a knight.", "solution_text_format": "(1) Isabella is a knight\n(2) Riley is a knight\n(3) Samuel is a knight\n(4) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Riley is a knight or Isabella is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Isabella is a knight or Liam is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Samuel is a knight or Isabella is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Samuel is a knight then Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 0)))", "index": 1060}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Jacob, Daniel, and Mia. In Zoey's words: \"If Jacob is a knight then Mia is a knight\". According to Jacob, \"Mia is a knave\". Daniel stated, \"If Daniel is a knight then Mia is a knave\". Mia noted, \"Jacob is a knave and Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Jacob", "Daniel", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Zoey is a knave, Jacob is a knight, Daniel is a knight, and Mia is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) Jacob is a knight\n(3) Daniel is a knight\n(4) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that If Jacob is a knight then Mia is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Jacob that Mia is a knave.", "Mia cannot be a knave, because this would contradict the claim of Zoey that If Jacob is a knight then Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Jacob is a knight.", "Mia cannot be a knave, because this would contradict the false claim of Jacob that Mia is a knave.", "We have exhausted all possibilities for Mia and Jacob, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Jacob is a knight then Mia is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the false claim of Zoey that If Jacob is a knight then Mia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Jacob is a knave and Jacob is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that If Daniel is a knight then Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 3)), ('lying', 3), ('->', ('telling-truth', 2), ('lying', 3)), ('and', ('lying', 1), ('telling-truth', 1)))", "index": 1061}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Abigail, Mia, and Riley. Ethan said, \"Mia is a knave if and only if Riley is a knave.\" \"Ethan is a knave or Riley is a knight,\" Abigail declared. Mia noted, \"Riley is a knight\". Riley stated, \"If Abigail is a knave then Mia is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Abigail", "Mia", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Ethan is a knight, Abigail is a knight, Mia is a knight, and Riley is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Abigail is a knight\n(3) Mia is a knight\n(4) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Mia is a knave if and only if Riley is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that If Abigail is a knave then Mia is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Ethan is a knave or Riley is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 3)), ('telling-truth', 3), ('->', ('lying', 1), ('lying', 2)))", "index": 1062}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Avery, Amelia, and Abigail. Oliver asserted: \"Avery is a knight or Avery is a knave\". Avery remarked, \"Abigail is a knight and Amelia is a knave\". Amelia asserted: \"Avery is not a knight\". \"Amelia is not a knave,\" Abigail declared. So who is a knight and who is a knave?", "names": ["Oliver", "Avery", "Amelia", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Oliver is a knight, Avery is a knave, Amelia is a knight, and Abigail is a knight.", "solution_text_format": "(1) Oliver is a knight\n(2) Avery is a knave\n(3) Amelia is a knight\n(4) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Avery is a knight or Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Abigail is a knight and Amelia is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Amelia is not a knave.", "Amelia cannot be a knight, because this would contradict the claim of Avery that Abigail is a knight and Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the claim of Abigail that Amelia is not a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Abigail.", "Abigail cannot be a knave, because this would contradict the claim of Avery that Abigail is a knight and Amelia is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Abigail is a knight and Amelia is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Amelia is not a knave.", "Assume Amelia is a knight. No contradiction is found in their claim that Avery is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 3), ('lying', 2)), ('not', ('telling-truth', 1)), ('not', ('lying', 2)))", "index": 1063}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Noah, Aiden, and Logan. Charlotte told you that Aiden is a knight or Noah is a knave. In Noah's words: \"Logan is a knight if and only if Aiden is a knight\". Aiden commented, \"Charlotte is a knave\". Logan told you that If Logan is a knight then Noah is a knave. So who is a knight and who is a knave?", "names": ["Charlotte", "Noah", "Aiden", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Charlotte is a knight, Noah is a knave, Aiden is a knave, and Logan is a knight.", "solution_text_format": "(1) Charlotte is a knight\n(2) Noah is a knave\n(3) Aiden is a knave\n(4) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Aiden is a knight or Noah is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Charlotte is a knave.", "Noah cannot be a knight, because this would contradict the claim of Charlotte that Aiden is a knight or Noah is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Logan is a knight if and only if Aiden is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that If Logan is a knight then Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('lying', 0), ('->', ('telling-truth', 3), ('lying', 1)))", "index": 1064}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Sophia, Chloe, and Victoria. \"Chloe is a knave or Sophia is a knave,\" Daniel mentioned. In Sophia's words: \"Victoria is a knave\". Chloe was heard saying, \"Chloe is a knight or Victoria is a knave\". According to Victoria, \"Daniel is a knave if and only if Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Sophia", "Chloe", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Daniel is a knave, Sophia is a knight, Chloe is a knight, and Victoria is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Sophia is a knight\n(3) Chloe is a knight\n(4) Victoria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Chloe is a knave or Sophia is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight or Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Daniel is a knave if and only if Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Daniel is a knave if and only if Victoria is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Chloe is a knight or Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Daniel is a knave if and only if Victoria is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of Chloe that Chloe is a knight or Victoria is a knave.", "We have exhausted all possibilities for Victoria and Chloe, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Chloe is a knave or Sophia is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight or Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Daniel is a knave if and only if Victoria is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Victoria is a knave.", "Sophia cannot be a knave, because this would contradict the false claim of Daniel that Chloe is a knave or Sophia is a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Victoria is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 1)), ('lying', 3), ('or', ('telling-truth', 2), ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 3)))", "index": 1065}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Oliver, Aurora, and Michael. \"If Oliver is a knave then Ella is a knight,\" Ella mentioned. In Oliver's words: \"Michael is a knight\". In Aurora's words: \"Michael is a knave and Oliver is a knight\". According to Michael, \"If Aurora is a knave then Ella is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Oliver", "Aurora", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Ella is a knight, Oliver is a knave, Aurora is a knave, and Michael is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Oliver is a knave\n(3) Aurora is a knave\n(4) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that If Oliver is a knave then Ella is a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Michael is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Aurora is a knave then Ella is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Oliver is a knight.", "Aurora cannot be a knave, because this would contradict the claim of Michael that If Aurora is a knave then Ella is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Michael.", "Michael cannot be a knave, because this would contradict the claim of Oliver that Michael is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Michael is a knight.", "Michael cannot be a knight, because this would contradict the false claim of Oliver that Michael is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that If Aurora is a knave then Ella is a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Oliver is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Michael is a knave and Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('telling-truth', 3), ('and', ('lying', 3), ('telling-truth', 1)), ('->', ('lying', 2), ('lying', 0)))", "index": 1066}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Mason, Aria, and Chloe. Henry noted, \"Mason is a knave and Aria is a knave\". \"Aria is a knight if and only if Henry is a knight\" - Mason. Aria remarked, \"If Chloe is a knave then Henry is a knave\". \"Henry is a knave or Mason is a knave,\" Chloe declared. So who is a knight and who is a knave?", "names": ["Henry", "Mason", "Aria", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Henry is a knave, Mason is a knave, Aria is a knight, and Chloe is a knight.", "solution_text_format": "(1) Henry is a knave\n(2) Mason is a knave\n(3) Aria is a knight\n(4) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Henry is a knight. No contradiction is found in their claim that Mason is a knave and Aria is a knave.", "Mason cannot be a knight, because this would contradict the claim of Henry that Mason is a knave and Aria is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Henry is a knight.", "Aria cannot be a knight, because this would contradict the claim of Henry that Mason is a knave and Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that If Chloe is a knave then Henry is a knave.", "Chloe cannot be a knight, because this would contradict the false claim of Aria that If Chloe is a knave then Henry is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Henry is a knave or Mason is a knave.", "We have exhausted all possibilities for Chloe, Aria, and Mason, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Mason is a knave and Aria is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Aria is a knight if and only if Henry is a knight.", "Aria cannot be a knight, because this would contradict the claim of Mason that Aria is a knight if and only if Henry is a knight.", "Aria cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knave then Henry is a knave.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Henry is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Chloe is a knave then Henry is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Henry is a knave or Mason is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('lying', 3), ('lying', 0)), ('or', ('lying', 0), ('lying', 1)))", "index": 1067}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Benjamin, Samuel, and Ethan. According to Harper, \"Ethan is a knave\". Benjamin commented, \"Ethan is not a knave\". \"If Benjamin is a knave then Harper is a knave\" - Samuel. Ethan asserted: \"Benjamin is a knight or Benjamin is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Benjamin", "Samuel", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Harper is a knave, Benjamin is a knight, Samuel is a knight, and Ethan is a knight.", "solution_text_format": "(1) Harper is a knave\n(2) Benjamin is a knight\n(3) Samuel is a knight\n(4) Ethan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Harper that Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight or Benjamin is a knave.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Benjamin is a knight or Benjamin is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Ethan is not a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that If Benjamin is a knave then Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('not', ('lying', 3)), ('->', ('lying', 1), ('lying', 0)), ('or', ('telling-truth', 1), ('lying', 1)))", "index": 1068}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Elizabeth, Emily, and Benjamin. Isabella expressed that Benjamin is a knave and Elizabeth is a knave. According to Elizabeth, \"If Emily is a knave then Benjamin is a knave\". Emily stated, \"Benjamin is a knight or Elizabeth is a knight\". Benjamin asserted: \"Elizabeth is a knave and Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Elizabeth", "Emily", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Isabella is a knave, Elizabeth is a knight, Emily is a knight, and Benjamin is a knave.", "solution_text_format": "(1) Isabella is a knave\n(2) Elizabeth is a knight\n(3) Emily is a knight\n(4) Benjamin is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Benjamin is a knave and Elizabeth is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Isabella that Benjamin is a knave and Elizabeth is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Benjamin is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Isabella that Benjamin is a knave and Elizabeth is a knave.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Emily is a knave then Benjamin is a knave.", "We have exhausted all possibilities for Elizabeth and Benjamin, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Benjamin is a knave and Elizabeth is a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that Elizabeth is a knave and Benjamin is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Benjamin that Elizabeth is a knave and Benjamin is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that If Emily is a knave then Benjamin is a knave.", "Emily cannot be a knight, because this would contradict the false claim of Elizabeth that If Emily is a knave then Benjamin is a knave.", "Emily cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight or Elizabeth is a knight.", "We have exhausted all possibilities for Emily and Elizabeth, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Benjamin is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that If Emily is a knave then Benjamin is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Benjamin is a knight or Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 1)), ('->', ('lying', 2), ('lying', 3)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 3)))", "index": 1069}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Jackson, Luke, and Emma. Amelia said that Jackson is not a knight. Jackson said that Luke is a knight and Emma is a knight. According to Luke, \"Amelia is a knight if and only if Amelia is a knave\". Emma said that Amelia is a knight if and only if Jackson is a knave. So who is a knight and who is a knave?", "names": ["Amelia", "Jackson", "Luke", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Amelia is a knight, Jackson is a knave, Luke is a knave, and Emma is a knight.", "solution_text_format": "(1) Amelia is a knight\n(2) Jackson is a knave\n(3) Luke is a knave\n(4) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Jackson is not a knight.", "Jackson cannot be a knight, because this would contradict the claim of Amelia that Jackson is not a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Luke is a knight and Emma is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Amelia is a knave.", "Assume Luke is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Amelia is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Jackson is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('lying', 0)), ('<=>', ('telling-truth', 0), ('lying', 1)))", "index": 1070}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Victoria, Isabella, and Matthew. Mason expressed that Isabella is a knight if and only if Matthew is a knight. Victoria said that If Isabella is a knave then Matthew is a knight. Isabella stated, \"Mason is a knight and Mason is a knave\". In Matthew's words: \"Isabella is not a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Victoria", "Isabella", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Mason is a knave, Victoria is a knight, Isabella is a knave, and Matthew is a knight.", "solution_text_format": "(1) Mason is a knave\n(2) Victoria is a knight\n(3) Isabella is a knave\n(4) Matthew is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Matthew is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Mason is a knight and Mason is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Mason is a knight and Mason is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Mason that Isabella is a knight if and only if Matthew is a knight.", "Matthew cannot be a knave, because this would contradict the false claim of their own that Isabella is not a knight.", "We have exhausted all possibilities for Matthew and Isabella, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Matthew is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Mason is a knight and Mason is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Mason is a knight and Mason is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Isabella is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that If Isabella is a knave then Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('lying', 2), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('lying', 0)), ('not', ('telling-truth', 2)))", "index": 1071}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Aurora, Mia, and Lucas. Scarlett stated, \"Aurora is a knave if and only if Mia is a knave\". Aurora expressed that Lucas is a knight. \"Aurora is a knight,\" Mia mentioned. Lucas stated, \"Aurora is a knight if and only if Mia is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Aurora", "Mia", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Scarlett is a knight, Aurora is a knight, Mia is a knight, and Lucas is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Aurora is a knight\n(3) Mia is a knight\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Aurora is a knave if and only if Mia is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 2)), ('telling-truth', 3), ('telling-truth', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "index": 1072}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Henry, Owen, and Lucas. \"Owen is a knight,\" Oliver claimed. Henry commented, \"Oliver is not a knight\". Owen noted, \"Lucas is a knight or Lucas is a knave\". In Lucas's words: \"Lucas is a knight and Henry is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Henry", "Owen", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Oliver is a knight, Henry is a knave, Owen is a knight, and Lucas is a knave.", "solution_text_format": "(1) Oliver is a knight\n(2) Henry is a knave\n(3) Owen is a knight\n(4) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Lucas is a knight or Lucas is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Lucas is a knight and Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Oliver is not a knight.", "Henry cannot be a knave, because this would contradict the claim of Lucas that Lucas is a knight and Henry is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Lucas is a knight and Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Oliver is not a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Oliver is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 3), ('lying', 3)), ('and', ('telling-truth', 3), ('telling-truth', 1)))", "index": 1073}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Aria, Matthew, and Aiden. Harper told you that Aria is not a knight. Aria said that If Harper is a knight then Matthew is a knave. Matthew told you that Aiden is not a knight. Aiden expressed that Matthew is a knight and Aria is a knave. So who is a knight and who is a knave?", "names": ["Harper", "Aria", "Matthew", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Harper is a knave, Aria is a knight, Matthew is a knight, and Aiden is a knave.", "solution_text_format": "(1) Harper is a knave\n(2) Aria is a knight\n(3) Matthew is a knight\n(4) Aiden is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Aria is not a knight.", "Aria cannot be a knight, because this would contradict the claim of Harper that Aria is not a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that If Harper is a knight then Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Aiden cannot be a knight, because this would contradict the claim of Matthew that Aiden is not a knight.", "Aiden cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight and Aria is a knave.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Matthew.", "Matthew cannot be a knave, because this would contradict the false claim of Aria that If Harper is a knight then Matthew is a knave.", "We have exhausted all possibilities for Matthew and Aria, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Aria is not a knight.", "Assume Aria is a knight. No contradiction is found in their claim that If Harper is a knight then Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Aiden is not a knight.", "Aiden cannot be a knight, because this would contradict the claim of Matthew that Aiden is not a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Matthew is a knight and Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 2)), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 2), ('lying', 1)))", "index": 1074}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Charlotte, Aiden, and Daniel. Victoria asserted: \"Charlotte is a knight or Daniel is a knight\". \"Aiden is a knight if and only if Aiden is a knave,\" Charlotte claimed. Aiden commented, \"If Daniel is a knave then Daniel is a knight\". Daniel said that Charlotte is a knight. So who is a knight and who is a knave?", "names": ["Victoria", "Charlotte", "Aiden", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Victoria is a knave, Charlotte is a knave, Aiden is a knave, and Daniel is a knave.", "solution_text_format": "(1) Victoria is a knave\n(2) Charlotte is a knave\n(3) Aiden is a knave\n(4) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Charlotte is a knight or Daniel is a knight.", "Charlotte cannot be a knight, because this would contradict the claim of their own that Aiden is a knight if and only if Aiden is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Daniel is a knave then Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight.", "Daniel cannot be a knave, because this would contradict the claim of Victoria that Charlotte is a knight or Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Daniel is a knave then Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Aiden that If Daniel is a knave then Daniel is a knight.", "Daniel cannot be a knave, because this would contradict the claim of Victoria that Charlotte is a knight or Daniel is a knight.", "We have exhausted all possibilities for Daniel, Aiden, and Charlotte, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Charlotte is a knight or Daniel is a knight.", "Charlotte cannot be a knight, because this would contradict the false claim of Victoria that Charlotte is a knight or Daniel is a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that If Daniel is a knave then Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Victoria that Charlotte is a knight or Daniel is a knight.", "Daniel cannot be a knave, because this would contradict the claim of Aiden that If Daniel is a knave then Daniel is a knight.", "We have exhausted all possibilities for Daniel, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Daniel is a knave then Daniel is a knight.", "Daniel cannot be a knight, because this would contradict the false claim of Victoria that Charlotte is a knight or Daniel is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 3)), ('telling-truth', 1))", "index": 1075}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Lucas, Victoria, and Olivia. \"Victoria is not a knave,\" Joseph mentioned. As Lucas put it, \"Olivia is a knight or Olivia is a knave\". Victoria told you that If Olivia is a knight then Olivia is a knave. Olivia commented, \"Victoria is a knave or Victoria is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Lucas", "Victoria", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Joseph is a knave, Lucas is a knight, Victoria is a knave, and Olivia is a knight.", "solution_text_format": "(1) Joseph is a knave\n(2) Lucas is a knight\n(3) Victoria is a knave\n(4) Olivia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Victoria is not a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that If Olivia is a knight then Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of Victoria that If Olivia is a knight then Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Victoria is a knave or Victoria is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Victoria.", "Victoria cannot be a knave, because this would contradict the claim of Joseph that Victoria is not a knave.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Victoria is not a knave.", "Victoria cannot be a knight, because this would contradict the false claim of Joseph that Victoria is not a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that If Olivia is a knight then Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Victoria is a knave or Victoria is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Olivia is a knight or Olivia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('telling-truth', 3), ('lying', 3)), ('->', ('telling-truth', 3), ('lying', 3)), ('or', ('lying', 2), ('telling-truth', 2)))", "index": 1076}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, William, Avery, and Abigail. \"Avery is a knave or Evelyn is a knight\" - Evelyn. \"If Evelyn is a knight then Avery is a knave,\" William declared. Avery was heard saying, \"Abigail is a knave\". Abigail asserted: \"William is a knight if and only if Avery is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "William", "Avery", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Evelyn is a knight, William is a knave, Avery is a knight, and Abigail is a knave.", "solution_text_format": "(1) Evelyn is a knight\n(2) William is a knave\n(3) Avery is a knight\n(4) Abigail is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Avery is a knave or Evelyn is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Avery that Abigail is a knave.", "Assume Abigail is a knave. No contradiction is found in their false claim that William is a knight if and only if Avery is a knight.", "William cannot be a knight, because this would contradict the claim of their own that If Evelyn is a knight then Avery is a knave.", "Assume William is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('lying', 2)), ('lying', 3), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))", "index": 1077}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aurora, Lily, Ava, and Daniel. Aurora expressed that Daniel is a knight and Ava is a knight. In a statement by Lily: \"Ava is a knight if and only if Aurora is a knave\". Ava commented, \"If Daniel is a knave then Lily is a knave\". Daniel commented, \"Ava is a knight or Lily is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Lily", "Ava", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Aurora is a knight, Lily is a knave, Ava is a knight, and Daniel is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Lily is a knave\n(3) Ava is a knight\n(4) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Daniel is a knight and Ava is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Ava is a knight or Lily is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If Daniel is a knave then Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Ava is a knight if and only if Aurora is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('lying', 0)), ('->', ('lying', 3), ('lying', 1)), ('or', ('telling-truth', 2), ('lying', 1)))", "index": 1078}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, Jacob, Harper, and Noah. In a statement by Avery: \"Harper is a knave and Harper is a knight\". \"If Noah is a knight then Avery is a knight,\" Jacob claimed. Harper told you that Avery is a knave. Noah asserted: \"Harper is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Jacob", "Harper", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Avery is a knave, Jacob is a knight, Harper is a knight, and Noah is a knave.", "solution_text_format": "(1) Avery is a knave\n(2) Jacob is a knight\n(3) Harper is a knight\n(4) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Avery cannot be a knight, because this would contradict the claim of their own that Harper is a knave and Harper is a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Harper is a knave and Harper is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Avery is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that If Noah is a knight then Avery is a knight.", "Noah cannot be a knight, because this would contradict the claim of Jacob that If Noah is a knight then Avery is a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Harper is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 0), ('lying', 2))", "index": 1079}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Amelia, Mason, and Lily. Jacob stated, \"Lily is not a knave\". According to Amelia, \"Mason is a knave and Lily is a knight\". In Mason's words: \"Amelia is a knight or Jacob is a knave\". Lily said that If Amelia is a knave then Lily is a knight. So who is a knight and who is a knave?", "names": ["Jacob", "Amelia", "Mason", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Jacob is a knave, Amelia is a knave, Mason is a knight, and Lily is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Amelia is a knave\n(3) Mason is a knight\n(4) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Lily is not a knave.", "Assume Lily is a knight. No contradiction is found in their claim that If Amelia is a knave then Lily is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Mason is a knave and Lily is a knight.", "Mason cannot be a knight, because this would contradict the claim of Amelia that Mason is a knave and Lily is a knight.", "Mason cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight or Jacob is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Mason is a knave and Lily is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Amelia is a knight or Jacob is a knave.", "Mason cannot be a knave, because this would contradict the false claim of Amelia that Mason is a knave and Lily is a knight.", "We have exhausted all possibilities for Mason and Amelia, so let us go back and reconsider Lily.", "Lily cannot be a knave, because this would contradict the claim of Jacob that Lily is not a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Lily is not a knave.", "Lily cannot be a knight, because this would contradict the false claim of Jacob that Lily is not a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that If Amelia is a knave then Lily is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Mason is a knave and Lily is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Mason is a knave and Lily is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Amelia is a knight or Jacob is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('and', ('lying', 2), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('lying', 0)), ('->', ('lying', 1), ('telling-truth', 3)))", "index": 1080}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Victoria, Liam, and Lily. Samuel asserted: \"Liam is a knave and Lily is a knave\". Victoria said, \"Lily is a knight and Liam is a knight.\" \"If Liam is a knight then Samuel is a knave,\" Liam mentioned. Lily stated, \"Victoria is a knave and Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Victoria", "Liam", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Samuel is a knave, Victoria is a knave, Liam is a knight, and Lily is a knave.", "solution_text_format": "(1) Samuel is a knave\n(2) Victoria is a knave\n(3) Liam is a knight\n(4) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Liam is a knave and Lily is a knave.", "Liam cannot be a knight, because this would contradict the claim of Samuel that Liam is a knave and Lily is a knave.", "Liam cannot be a knave, because this would contradict the false claim of their own that If Liam is a knight then Samuel is a knave.", "We have exhausted all possibilities for Liam, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Liam is a knave and Lily is a knave.", "Assume Liam is a knight. No contradiction is found in their claim that If Liam is a knight then Samuel is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Samuel is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Victoria is a knave and Samuel is a knight.", "Victoria cannot be a knight, because this would contradict the claim of their own that Lily is a knight and Liam is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Lily is a knight and Liam is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 3)), ('and', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 0)))", "index": 1081}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Sofia, Samuel, and Joseph. Penelope stated, \"Sofia is not a knave\". Sofia said, \"Samuel is a knight and Penelope is a knight.\" Samuel asserted: \"Penelope is a knave and Penelope is a knight\". As Joseph put it, \"Samuel is a knight if and only if Sofia is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Sofia", "Samuel", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Penelope is a knave, Sofia is a knave, Samuel is a knave, and Joseph is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Sofia is a knave\n(3) Samuel is a knave\n(4) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Sofia is not a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Samuel is a knight and Penelope is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Penelope is a knight.", "Samuel cannot be a knave, because this would contradict the claim of Sofia that Samuel is a knight and Penelope is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Sofia.", "Sofia cannot be a knave, because this would contradict the claim of Penelope that Sofia is not a knave.", "We have exhausted all possibilities for Sofia, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Sofia is not a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Penelope that Sofia is not a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Samuel is a knight and Penelope is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Penelope is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Penelope is a knave and Penelope is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Samuel is a knight if and only if Sofia is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "index": 1082}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Mia, Benjamin, and Sofia. \"Mia is a knight and Benjamin is a knight\" - Matthew. Mia noted, \"Sofia is a knave and Matthew is a knight\". In Benjamin's words: \"Sofia is a knave\". In Sofia's words: \"Matthew is a knight and Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Mia", "Benjamin", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Matthew is a knave, Mia is a knave, Benjamin is a knight, and Sofia is a knave.", "solution_text_format": "(1) Matthew is a knave\n(2) Mia is a knave\n(3) Benjamin is a knight\n(4) Sofia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Mia is a knight and Benjamin is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Sofia is a knave and Matthew is a knight.", "Sofia cannot be a knight, because this would contradict the claim of Mia that Sofia is a knave and Matthew is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Matthew is a knight and Benjamin is a knight.", "Benjamin cannot be a knight, because this would contradict the false claim of Sofia that Matthew is a knight and Benjamin is a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Matthew that Mia is a knight and Benjamin is a knight.", "We have exhausted all possibilities for Benjamin and Sofia, so let us go back and reconsider Mia.", "Mia cannot be a knave, because this would contradict the claim of Matthew that Mia is a knight and Benjamin is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Mia is a knight and Benjamin is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Sofia is a knave and Matthew is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Sofia is a knave and Matthew is a knight.", "Sofia cannot be a knight, because this would contradict the claim of their own that Matthew is a knight and Benjamin is a knight.", "Assume Sofia is a knave. No contradiction is found in their false claim that Matthew is a knight and Benjamin is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that Sofia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('lying', 3), ('telling-truth', 0)), ('lying', 3), ('and', ('telling-truth', 0), ('telling-truth', 2)))", "index": 1083}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Jack, Chloe, and Elizabeth. Evelyn commented, \"Elizabeth is not a knave\". Jack told you that Evelyn is a knave. Chloe commented, \"Evelyn is a knight\". Elizabeth remarked, \"Evelyn is a knight if and only if Jack is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Jack", "Chloe", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Evelyn is a knight, Jack is a knave, Chloe is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Evelyn is a knight\n(2) Jack is a knave\n(3) Chloe is a knight\n(4) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Elizabeth is not a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Evelyn is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Evelyn is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('lying', 0), ('telling-truth', 0), ('<=>', ('telling-truth', 0), ('lying', 1)))", "index": 1084}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Aurora, Lily, and Victoria. \"Ethan is a knight and Victoria is a knight,\" Ethan declared. Aurora stated, \"Victoria is a knave or Ethan is a knight\". In Lily's words: \"Aurora is not a knave\". Victoria said, \"Aurora is a knight or Lily is a knight.\" So who is a knight and who is a knave?", "names": ["Ethan", "Aurora", "Lily", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Ethan is a knight, Aurora is a knight, Lily is a knight, and Victoria is a knight.", "solution_text_format": "(1) Ethan is a knight\n(2) Aurora is a knight\n(3) Lily is a knight\n(4) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight and Victoria is a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Aurora is a knight or Lily is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Victoria is a knave or Ethan is a knight.", "Assume Lily is a knight. No contradiction is found in their claim that Aurora is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 0)), ('not', ('lying', 1)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "index": 1085}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Emma, Zoey, and Sebastian. \"Emma is not a knight\" - Elizabeth. In Emma's words: \"If Zoey is a knave then Sebastian is a knight\". \"Elizabeth is a knight if and only if Emma is a knight,\" Zoey claimed. In a statement by Sebastian: \"Zoey is a knave or Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Emma", "Zoey", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Elizabeth is a knave, Emma is a knight, Zoey is a knave, and Sebastian is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Emma is a knight\n(3) Zoey is a knave\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Emma is not a knight.", "Emma cannot be a knight, because this would contradict the claim of Elizabeth that Emma is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that If Zoey is a knave then Sebastian is a knight.", "Zoey cannot be a knight, because this would contradict the false claim of Emma that If Zoey is a knave then Sebastian is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Emma is a knight.", "Sebastian cannot be a knight, because this would contradict the false claim of Emma that If Zoey is a knave then Sebastian is a knight.", "Sebastian cannot be a knave, because this would contradict the false claim of their own that Zoey is a knave or Zoey is a knight.", "We have exhausted all possibilities for Sebastian, Zoey, and Emma, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Emma is not a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Zoey is a knave then Sebastian is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight if and only if Emma is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Emma is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that Zoey is a knave or Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 2)))", "index": 1086}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, Aiden, Emma, and Lucas. Avery asserted: \"Lucas is a knave and Emma is a knave\". \"Lucas is not a knight\" - Aiden. Emma noted, \"Avery is a knave\". As Lucas put it, \"Emma is a knight if and only if Avery is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Aiden", "Emma", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Avery is a knave, Aiden is a knave, Emma is a knight, and Lucas is a knight.", "solution_text_format": "(1) Avery is a knave\n(2) Aiden is a knave\n(3) Emma is a knight\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that Lucas is a knave and Emma is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Avery that Lucas is a knave and Emma is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Avery is a knave.", "Emma cannot be a knight, because this would contradict the claim of Avery that Lucas is a knave and Emma is a knave.", "Emma cannot be a knave, because this would contradict the false claim of Lucas that Emma is a knight if and only if Avery is a knave.", "We have exhausted all possibilities for Emma and Lucas, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Lucas is a knave and Emma is a knave.", "Assume Lucas is a knight. No contradiction is found in their claim that Emma is a knight if and only if Avery is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Avery is a knave.", "Aiden cannot be a knight, because this would contradict the claim of their own that Lucas is not a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Lucas is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 2)), ('not', ('telling-truth', 3)), ('lying', 0), ('<=>', ('telling-truth', 2), ('lying', 0)))", "index": 1087}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Penelope, Henry, and Daniel. Aiden told you that If Daniel is a knave then Henry is a knave. Penelope said that Aiden is a knave if and only if Penelope is a knight. Henry noted, \"If Penelope is a knave then Penelope is a knight\". Daniel commented, \"Aiden is a knave if and only if Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Penelope", "Henry", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Aiden is a knave, Penelope is a knight, Henry is a knight, and Daniel is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Penelope is a knight\n(3) Henry is a knight\n(4) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that If Daniel is a knave then Henry is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that Aiden is a knave if and only if Aiden is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Aiden is a knave if and only if Aiden is a knight.", "Henry cannot be a knight, because this would contradict the claim of Aiden that If Daniel is a knave then Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that If Penelope is a knave then Penelope is a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Aiden is a knave if and only if Penelope is a knight.", "Penelope cannot be a knave, because this would contradict the false claim of their own that Aiden is a knave if and only if Penelope is a knight.", "We have exhausted all possibilities for Penelope, Henry, and Daniel, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Daniel is a knave then Henry is a knave.", "Daniel cannot be a knight, because this would contradict the false claim of Aiden that If Daniel is a knave then Henry is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that Aiden is a knave if and only if Aiden is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Penelope is a knave then Penelope is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Penelope is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('->', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 1088}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Luke, Lucas, and Mia. Noah expressed that Mia is a knave. Luke was heard saying, \"Mia is a knave\". As Lucas put it, \"Mia is a knight or Luke is a knave\". Mia said, \"Lucas is a knave if and only if Mia is a knight.\" So who is a knight and who is a knave?", "names": ["Noah", "Luke", "Lucas", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Noah is a knight, Luke is a knight, Lucas is a knave, and Mia is a knave.", "solution_text_format": "(1) Noah is a knight\n(2) Luke is a knight\n(3) Lucas is a knave\n(4) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Noah that Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Lucas is a knave if and only if Mia is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Mia that Lucas is a knave if and only if Mia is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that Mia is a knight or Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Mia is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('lying', 3), ('or', ('telling-truth', 3), ('lying', 1)), ('<=>', ('lying', 2), ('telling-truth', 3)))", "index": 1089}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Ethan, Abigail, and Noah. \"Ethan is a knight or Abigail is a knave,\" Joseph claimed. As Ethan put it, \"Joseph is a knight or Joseph is a knave\". Abigail said that Abigail is a knight or Noah is a knight. According to Noah, \"Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Ethan", "Abigail", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Joseph is a knight, Ethan is a knight, Abigail is a knight, and Noah is a knight.", "solution_text_format": "(1) Joseph is a knight\n(2) Ethan is a knight\n(3) Abigail is a knight\n(4) Noah is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Ethan is a knight or Abigail is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Joseph is a knight or Joseph is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight or Noah is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Joseph is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 2)), ('or', ('telling-truth', 0), ('lying', 0)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('telling-truth', 0))", "index": 1090}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Joseph, Michael, and Lily. \"Joseph is a knave and Lily is a knight,\" Mason claimed. \"Michael is a knight and Mason is a knight,\" Joseph claimed. As Michael put it, \"If Joseph is a knave then Mason is a knight\". Lily expressed that Mason is not a knave. So who is a knight and who is a knave?", "names": ["Mason", "Joseph", "Michael", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Mason is a knave, Joseph is a knave, Michael is a knave, and Lily is a knave.", "solution_text_format": "(1) Mason is a knave\n(2) Joseph is a knave\n(3) Michael is a knave\n(4) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Joseph is a knave and Lily is a knight.", "Joseph cannot be a knight, because this would contradict the claim of Mason that Joseph is a knave and Lily is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Michael is a knight and Mason is a knight.", "Michael cannot be a knight, because this would contradict the false claim of Joseph that Michael is a knight and Mason is a knight.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knave then Mason is a knight.", "We have exhausted all possibilities for Michael and Joseph, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Joseph is a knave and Lily is a knight.", "Joseph cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Mason is a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Michael is a knight and Mason is a knight.", "Michael cannot be a knight, because this would contradict the claim of their own that If Joseph is a knave then Mason is a knight.", "Assume Michael is a knave. No contradiction is found in their false claim that If Joseph is a knave then Mason is a knight.", "Lily cannot be a knight, because this would contradict the false claim of Mason that Joseph is a knave and Lily is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Mason is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('lying', 1), ('telling-truth', 0)), ('not', ('lying', 0)))", "index": 1091}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Riley, Owen, and Aria. As Joseph put it, \"Aria is a knight and Joseph is a knight\". Riley asserted: \"Aria is a knight\". In Owen's words: \"If Aria is a knave then Aria is a knight\". \"Joseph is a knight and Joseph is a knave,\" Aria declared. So who is a knight and who is a knave?", "names": ["Joseph", "Riley", "Owen", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Joseph is a knave, Riley is a knave, Owen is a knave, and Aria is a knave.", "solution_text_format": "(1) Joseph is a knave\n(2) Riley is a knave\n(3) Owen is a knave\n(4) Aria is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Joseph is a knight. No contradiction is found in their claim that Aria is a knight and Joseph is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Joseph is a knave.", "Aria cannot be a knave, because this would contradict the claim of Joseph that Aria is a knight and Joseph is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Aria is a knight and Joseph is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Joseph is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Joseph is a knight and Joseph is a knave.", "Riley cannot be a knight, because this would contradict the claim of their own that Aria is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Aria is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that If Aria is a knave then Aria is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that If Aria is a knave then Aria is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 0)), ('telling-truth', 3), ('->', ('lying', 3), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 1092}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Oliver, Grace, and Mason. \"Oliver is a knave,\" Lily declared. Oliver was heard saying, \"Grace is not a knight\". In Grace's words: \"Oliver is a knave or Mason is a knave\". Mason noted, \"If Mason is a knight then Grace is a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Oliver", "Grace", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Lily is a knave, Oliver is a knight, Grace is a knave, and Mason is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Oliver is a knight\n(3) Grace is a knave\n(4) Mason is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Lily that Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Oliver is a knave or Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of their own that If Mason is a knight then Grace is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that If Mason is a knight then Grace is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Grace.", "Grace cannot be a knave, because this would contradict the false claim of Oliver that Grace is not a knight.", "We have exhausted all possibilities for Grace and Oliver, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Grace is not a knight.", "Grace cannot be a knight, because this would contradict the claim of Oliver that Grace is not a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Oliver is a knave or Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that If Mason is a knight then Grace is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('not', ('telling-truth', 2)), ('or', ('lying', 1), ('lying', 3)), ('->', ('telling-truth', 3), ('lying', 2)))", "index": 1093}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aurora, David, Ava, and William. Aurora commented, \"David is a knight and David is a knave\". David said, \"Aurora is a knight and Aurora is a knave.\" \"If William is a knave then Aurora is a knave,\" Ava mentioned. William stated, \"Ava is not a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "David", "Ava", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Aurora is a knave, David is a knave, Ava is a knight, and William is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) David is a knave\n(3) Ava is a knight\n(4) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Aurora cannot be a knight, because this would contradict the claim of their own that David is a knight and David is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that David is a knight and David is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Aurora is a knight and Aurora is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Aurora is a knight and Aurora is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If William is a knave then Aurora is a knave.", "Assume William is a knight. No contradiction is found in their claim that Ava is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 0)), ('->', ('lying', 3), ('lying', 0)), ('not', ('lying', 2)))", "index": 1094}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Ethan, James, and Jacob. Harper asserted: \"Jacob is a knave or Jacob is a knight\". \"Jacob is a knave or Harper is a knight,\" Ethan mentioned. James asserted: \"Harper is a knight\". \"Ethan is a knave,\" Jacob mentioned. So who is a knight and who is a knave?", "names": ["Harper", "Ethan", "James", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Harper is a knight, Ethan is a knight, James is a knight, and Jacob is a knave.", "solution_text_format": "(1) Harper is a knight\n(2) Ethan is a knight\n(3) James is a knight\n(4) Jacob is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Harper is a knight. No contradiction is found in their claim that Jacob is a knave or Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of Jacob that Ethan is a knave.", "Ethan cannot be a knave, because this would contradict the false claim of their own that Jacob is a knave or Harper is a knight.", "We have exhausted all possibilities for Ethan, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Jacob is a knave or Harper is a knight.", "Assume James is a knight. No contradiction is found in their claim that Harper is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 0)), ('telling-truth', 0), ('lying', 1))", "index": 1095}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Sebastian, Owen, and Avery. \"Avery is a knave or Emma is a knight,\" Emma claimed. Sebastian remarked, \"Avery is not a knight\". Owen noted, \"Avery is a knight or Avery is a knave\". Avery asserted: \"Emma is a knight and Owen is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Sebastian", "Owen", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Emma is a knight, Sebastian is a knave, Owen is a knight, and Avery is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Sebastian is a knave\n(3) Owen is a knight\n(4) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that Avery is a knave or Emma is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Emma is a knight and Owen is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Avery is a knight or Avery is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Avery is not a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Avery is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('telling-truth', 0)), ('not', ('telling-truth', 3)), ('or', ('telling-truth', 3), ('lying', 3)), ('and', ('telling-truth', 0), ('telling-truth', 2)))", "index": 1096}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, Grace, Jacob, and Joseph. According to Owen, \"Jacob is a knight and Owen is a knight\". As Grace put it, \"Owen is not a knight\". In Jacob's words: \"Joseph is not a knight\". \"Owen is a knight,\" Joseph claimed. So who is a knight and who is a knave?", "names": ["Owen", "Grace", "Jacob", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Owen is a knave, Grace is a knight, Jacob is a knight, and Joseph is a knave.", "solution_text_format": "(1) Owen is a knave\n(2) Grace is a knight\n(3) Jacob is a knight\n(4) Joseph is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Owen is a knight. No contradiction is found in their claim that Jacob is a knight and Owen is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Jacob that Joseph is not a knight.", "Joseph cannot be a knave, because this would contradict the false claim of their own that Owen is a knight.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Jacob.", "Jacob cannot be a knave, because this would contradict the claim of Owen that Jacob is a knight and Owen is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Owen.", "Assume Owen is a knave. No contradiction is found in their false claim that Jacob is a knight and Owen is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Joseph is not a knight.", "Joseph cannot be a knight, because this would contradict the claim of Jacob that Joseph is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Owen is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Owen is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 3)), ('telling-truth', 0))", "index": 1097}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Mia, Joseph, and Mason. According to Amelia, \"Joseph is a knight and Mia is a knave\". Mia stated, \"Amelia is a knight\". Joseph was heard saying, \"Mason is a knight or Joseph is a knight\". \"Mia is not a knave\" - Mason. So who is a knight and who is a knave?", "names": ["Amelia", "Mia", "Joseph", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Amelia is a knave, Mia is a knave, Joseph is a knave, and Mason is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Mia is a knave\n(3) Joseph is a knave\n(4) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Joseph is a knight and Mia is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Mason is a knight or Joseph is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Mia is not a knave.", "Mia cannot be a knight, because this would contradict the claim of Amelia that Joseph is a knight and Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Mia is not a knave.", "Mia cannot be a knight, because this would contradict the claim of Amelia that Joseph is a knight and Mia is a knave.", "Mia cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight.", "We have exhausted all possibilities for Mia and Mason, so let us go back and reconsider Joseph.", "Joseph cannot be a knave, because this would contradict the claim of Amelia that Joseph is a knight and Mia is a knave.", "We have exhausted all possibilities for Joseph, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Joseph is a knight and Mia is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Mason is a knight or Joseph is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Mia is not a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Amelia is a knight.", "Mia cannot be a knave, because this would contradict the false claim of Amelia that Joseph is a knight and Mia is a knave.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Mia is not a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Amelia is a knight.", "Mia cannot be a knave, because this would contradict the false claim of Amelia that Joseph is a knight and Mia is a knave.", "We have exhausted all possibilities for Mia and Mason, so let us go back and reconsider Joseph.", "Assume Joseph is a knave. No contradiction is found in their false claim that Mason is a knight or Joseph is a knight.", "Mason cannot be a knight, because this would contradict the false claim of Joseph that Mason is a knight or Joseph is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Mia is not a knave.", "Mia cannot be a knight, because this would contradict the claim of their own that Amelia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 1)), ('telling-truth', 0), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('lying', 1)))", "index": 1098}
-{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Zoey, Henry, and David. Jacob remarked, \"Henry is a knave and David is a knave\". In Zoey's words: \"If Jacob is a knight then Zoey is a knight\". Henry commented, \"If David is a knave then Jacob is a knight\". David said that David is a knight. So who is a knight and who is a knave?", "names": ["Jacob", "Zoey", "Henry", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Jacob is a knave, Zoey is a knight, Henry is a knight, and David is a knight.", "solution_text_format": "(1) Jacob is a knave\n(2) Zoey is a knight\n(3) Henry is a knight\n(4) David is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that Henry is a knave and David is a knave.", "Henry cannot be a knight, because this would contradict the claim of Jacob that Henry is a knave and David is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that If David is a knave then Jacob is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Henry is a knave and David is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that If David is a knave then Jacob is a knight.", "Assume David is a knight. No contradiction is found in their claim that David is a knight.", "Assume Zoey is a knight. No contradiction is found in their claim that If Jacob is a knight then Zoey is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 3)), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 0)), ('telling-truth', 3))", "index": 1099}