| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Michael, and Jacob. Michael said, \"Jacob is a knight.\" \"Michael is a knave if and only if Michael is a knight,\" Jacob declared. So who is a knight and who is a knave?", "names": ["Michael", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Michael is a knave, and 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 Michael is a knight. No contradiction is found in their claim that Jacob is a knight. Jacob 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. Jacob cannot be a knave, because this would contradict the claim of Michael that Jacob is a knight. We have exhausted all possibilities for Jacob, so let us go back and reconsider Michael. Assume Michael 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 Michael that Jacob is a knight. Assume Jacob is a knave. No contradiction is found in their false claim that Michael is a knave if and only if Michael is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 101, "solution_text_format": "(1) Michael is a knave\n(2) Jacob is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Amelia, and Harper. Amelia was heard saying, \"Harper is a knight or Harper is a knight\". \"Amelia is a knight and Amelia is a knave,\" Harper claimed. So who is a knight and who is a knave?", "names": ["Amelia", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Amelia is a knave, and 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 Amelia is a knight. No contradiction is found in their claim that Harper is a knight or Harper is a knight. Harper cannot be a knight, because this would contradict the claim of their own that Amelia is a knight and Amelia is a knave. Harper cannot be a knave, because this would contradict the claim of Amelia that Harper is a knight or Harper is a knight. We have exhausted all possibilities for Harper, so let us go back and reconsider Amelia. Assume Amelia is a knave. No contradiction is found in their false claim that Harper is a knight or Harper is a knight. Harper cannot be a knight, because this would contradict the false claim of Amelia that Harper is a knight or Harper is a knight. Assume Harper is a knave. No contradiction is found in their false claim that Amelia is a knight and Amelia is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 102, "solution_text_format": "(1) Amelia is a knave\n(2) Harper is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jack, and Evelyn. In Jack's words: \"Evelyn is a knave or Evelyn is a knave\". Evelyn asserted: \"If Jack is a knave then Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Jack is a knave, and 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 Jack is a knight. No contradiction is found in their claim that Evelyn is a knave or Evelyn is a knave. Evelyn cannot be a knight, because this would contradict the claim of Jack that Evelyn is a knave or Evelyn is a knave. Evelyn cannot be a knave, because this would contradict the false claim of their own that If Jack is a knave then Evelyn is a knight. We have exhausted all possibilities for Evelyn, so let us go back and reconsider Jack. Assume Jack is a knave. No contradiction is found in their false claim that Evelyn is a knave or Evelyn is a knave. Assume Evelyn is a knight. No contradiction is found in their claim that If Jack is a knave then Evelyn is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 1)))", "index": 104, "solution_text_format": "(1) Jack is a knave\n(2) Evelyn is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Samuel, and Aria. In Samuel's words: \"Aria is a knight if and only if Aria is a knave\". Aria commented, \"Samuel is a knight or Samuel is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Samuel is a knave, and 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": "Samuel cannot be a knight, because this would contradict the claim of their own that Aria is a knight if and only if Aria is a knave. Assume Samuel is a knave. No contradiction is found in their false claim that Aria 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 Samuel is a knight or Samuel is a knight. Assume Aria is a knave. No contradiction is found in their false claim that Samuel is a knight or Samuel is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 0)))", "index": 105, "solution_text_format": "(1) Samuel is a knave\n(2) Aria is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Daniel, and Liam. In a statement by Daniel: \"Daniel is a knight if and only if Daniel is a knight\". Liam said, \"Daniel is a knight or Liam is a knight.\" So who is a knight and who is a knave?", "names": ["Daniel", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Daniel is a knight, and 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 Daniel is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Daniel is a knight. Assume Liam is a knight. No contradiction is found in their claim that Daniel is a knight or Liam is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "index": 106, "solution_text_format": "(1) Daniel is a knight\n(2) Liam is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ava, and Henry. Ava told you that Henry is a knight or Henry is a knave. \"Ava is a knight if and only if Ava is a knight,\" Henry claimed. So who is a knight and who is a knave?", "names": ["Ava", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Ava is a knight, and 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 Ava 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 Ava is a knight if and only if Ava is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 0)))", "index": 107, "solution_text_format": "(1) Ava is a knight\n(2) Henry is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Riley, and Sophia. \"Riley is a knight if and only if Sophia is a knave\" - Riley. Sophia remarked, \"Riley is a knave or Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Riley is a knight, and 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 Riley is a knight. No contradiction is found in their claim that Riley is a knight if and only if Sophia is a knave. Sophia cannot be a knight, because this would contradict the claim of Riley that Riley is a knight if and only if Sophia is a knave. Assume Sophia is a knave. No contradiction is found in their false claim that Riley is a knave or Sophia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 1)))", "index": 109, "solution_text_format": "(1) Riley is a knight\n(2) Sophia is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and Benjamin. Liam said that If Benjamin is a knave then Liam is a knight. \"Liam is a knave or Liam is a knave,\" Benjamin declared. So who is a knight and who is a knave?", "names": ["Liam", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Liam is a knight, and 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 Liam is a knight. No contradiction is found in their claim that If Benjamin is a knave then Liam is a knight. Benjamin cannot be a knight, because this would contradict the claim of their own that Liam is a knave or Liam is a knave. Assume Benjamin is a knave. No contradiction is found in their false claim that Liam is a knave or Liam is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('or', ('lying', 0), ('lying', 0)))", "index": 110, "solution_text_format": "(1) Liam is a knight\n(2) Benjamin is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Scarlett, and Aria. \"Aria is a knave and Aria is a knight,\" Scarlett mentioned. \"Scarlett is a knave if and only if Scarlett is a knave\" - Aria. So who is a knight and who is a knave?", "names": ["Scarlett", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Scarlett is a knave, and 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": "Scarlett cannot be a knight, because this would contradict the claim of their own that Aria is a knave and Aria is a knight. Assume Scarlett 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 Scarlett is a knave if and only if Scarlett is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 0), ('lying', 0)))", "index": 111, "solution_text_format": "(1) Scarlett is a knave\n(2) Aria is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Harper, and Luke. Harper was heard saying, \"Luke is a knave\". \"Harper is a knight if and only if Luke is a knight,\" Luke declared. So who is a knight and who is a knave?", "names": ["Harper", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Harper is a knight, and 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 Harper 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 Harper that Luke is a knave. Assume Luke is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Luke is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 112, "solution_text_format": "(1) Harper is a knight\n(2) Luke is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ava, and Charlotte. Ava expressed that Charlotte is a knave. Charlotte asserted: \"Charlotte is a knight if and only if Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Ava is a knave, and 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 Ava 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 Ava that Charlotte is a knave. Charlotte cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight if and only if Charlotte is a knight. We have exhausted all possibilities for Charlotte, so let us go back and reconsider Ava. Assume Ava 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 Charlotte is a knight if and only if Charlotte is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 1)))", "index": 113, "solution_text_format": "(1) Ava is a knave\n(2) Charlotte is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Joseph, and Samuel. Joseph remarked, \"Samuel is a knight and Samuel is a knave\". Samuel expressed that Joseph is a knight if and only if Joseph is a knight. So who is a knight and who is a knave?", "names": ["Joseph", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Joseph is a knave, and 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": "Joseph cannot be a knight, because this would contradict the claim of their own that Samuel is a knight and Samuel is a knave. Assume Joseph is a knave. No contradiction is found in their false claim that Samuel is a knight and Samuel is a knave. Assume Samuel is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Joseph is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 0)))", "index": 114, "solution_text_format": "(1) Joseph is a knave\n(2) Samuel is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Amelia, and Jacob. Amelia said that Jacob is a knight and Jacob is a knave. Jacob commented, \"If Amelia is a knave then Amelia is a knave\". So who is a knight and who is a knave?", "names": ["Amelia", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Amelia is a knave, and 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": "Amelia cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Jacob is a knave. Assume Amelia is a knave. No contradiction is found in their false claim that Jacob is a knight and Jacob is a knave. Assume Jacob is a knight. No contradiction is found in their claim that If Amelia is a knave then Amelia is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('->', ('lying', 0), ('lying', 0)))", "index": 116, "solution_text_format": "(1) Amelia is a knave\n(2) Jacob is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Scarlett, and Joseph. \"Scarlett is a knight if and only if Scarlett is a knight,\" Scarlett claimed. Joseph was heard saying, \"If Scarlett is a knave then Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Scarlett is a knight, and 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 Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Scarlett is a knight. Assume Joseph is a knight. No contradiction is found in their claim that If Scarlett is a knave then Joseph is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 1)))", "index": 118, "solution_text_format": "(1) Scarlett is a knight\n(2) Joseph is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Daniel, and Riley. According to Daniel, \"Riley is not a knave\". \"Daniel is a knight if and only if Riley is a knight,\" Riley declared. So who is a knight and who is a knave?", "names": ["Daniel", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Daniel is a knight, and 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 Daniel 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 Daniel is a knight if and only if Riley is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 119, "solution_text_format": "(1) Daniel is a knight\n(2) Riley is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Daniel, and Abigail. According to Daniel, \"Abigail is a knave and Abigail is a knight\". Abigail noted, \"Daniel is a knight or Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Daniel is a knave, and 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": "Daniel cannot be a knight, because this would contradict the claim of their own that Abigail is a knave and Abigail is a knight. Assume Daniel is a knave. No contradiction is found in their false claim that Abigail is a knave and Abigail is a knight. Abigail cannot be a knight, because this would contradict the claim of their own that Daniel is a knight or Daniel is a knight. Assume Abigail is a knave. No contradiction is found in their false claim that Daniel is a knight or Daniel is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 0)))", "index": 121, "solution_text_format": "(1) Daniel is a knave\n(2) Abigail is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sophia, and Logan. \"Logan is a knave or Logan is a knave,\" Sophia declared. \"Sophia is a knight or Sophia is a knave,\" Logan claimed. So who is a knight and who is a knave?", "names": ["Sophia", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Sophia is a knave, and 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 Sophia is a knight. No contradiction is found in their claim that Logan is a knave or Logan is a knave. Logan cannot be a knight, because this would contradict the claim of Sophia that Logan is a knave or Logan is a knave. Logan cannot be a knave, because this would contradict the false claim of their own that Sophia is a knight or Sophia is a knave. We have exhausted all possibilities for Logan, so let us go back and reconsider Sophia. Assume Sophia is a knave. No contradiction is found in their false claim that Logan is a knave or Logan is a knave. Assume Logan is a knight. No contradiction is found in their claim that Sophia is a knight or Sophia is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 122, "solution_text_format": "(1) Sophia is a knave\n(2) Logan is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Charlotte, and Alexander. Charlotte said, \"If Alexander is a knave then Alexander is a knave.\" \"Charlotte is a knight or Alexander is a knight,\" Alexander declared. So who is a knight and who is a knave?", "names": ["Charlotte", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Charlotte is a knight, and 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 Charlotte is a knight. No contradiction is found in their claim that If Alexander is a knave then Alexander is a knave. Assume Alexander is a knight. No contradiction is found in their claim that Charlotte is a knight or Alexander is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "index": 123, "solution_text_format": "(1) Charlotte is a knight\n(2) Alexander is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Charlotte, and Aiden. Charlotte told you that Aiden is a knight. Aiden stated, \"Charlotte is a knave or Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Charlotte is a knight, and 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 Charlotte 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 Charlotte is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 124, "solution_text_format": "(1) Charlotte is a knight\n(2) Aiden is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Charlotte, and Scarlett. \"Scarlett is a knave and Scarlett is a knave\" - Charlotte. Scarlett stated, \"Scarlett is a knight and Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Charlotte is a knight, and 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 Charlotte is a knight. No contradiction is found in their claim that Scarlett is a knave and Scarlett is a knave. Scarlett cannot be a knight, because this would contradict the claim of Charlotte that Scarlett is a knave and Scarlett is a knave. Assume Scarlett is a knave. No contradiction is found in their false claim that Scarlett is a knight and Charlotte is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 125, "solution_text_format": "(1) Charlotte is a knight\n(2) Scarlett is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and Henry. Olivia asserted: \"Henry is a knight or Henry is a knight\". In Henry's words: \"Olivia is a knave and Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Olivia is a knave, and 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 Olivia is a knight. No contradiction is found in their claim that Henry is a knight or Henry is a knight. Henry cannot be a knight, because this would contradict the claim of their own that Olivia is a knave and Olivia is a knight. Henry cannot be a knave, because this would contradict the claim of Olivia that Henry is a knight or Henry is a knight. We have exhausted all possibilities for Henry, so let us go back and reconsider Olivia. Assume Olivia is a knave. No contradiction is found in their false claim that Henry is a knight or Henry is a knight. Henry cannot be a knight, because this would contradict the false claim of Olivia that Henry is a knight or Henry is a knight. Assume Henry is a knave. No contradiction is found in their false claim that Olivia is a knave and Olivia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 0)))", "index": 126, "solution_text_format": "(1) Olivia is a knave\n(2) Henry is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Daniel, and Lily. Daniel was heard saying, \"If Lily is a knave then Lily is a knave\". Lily was heard saying, \"Lily is a knight or Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Daniel is a knight, and 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 Lily is a knave then Lily is a knave. Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight or Daniel is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 1)), ('or', ('telling-truth', 1), ('telling-truth', 0)))", "index": 127, "solution_text_format": "(1) Daniel is a knight\n(2) Lily is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jack, and Benjamin. Jack told you that Benjamin is a knight or Jack is a knight. Benjamin remarked, \"If Jack is a knave then Jack is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Jack is a knight, and 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 Jack is a knight. No contradiction is found in their claim that Benjamin is a knight or Jack is a knight. Assume Benjamin is a knight. No contradiction is found in their claim that If Jack is a knave then Jack is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('lying', 0), ('lying', 0)))", "index": 128, "solution_text_format": "(1) Jack is a knight\n(2) Benjamin is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Daniel, and Samuel. Daniel said, \"Samuel is a knave or Samuel is a knave.\" Samuel said that Samuel is a knight or Daniel is a knight. So who is a knight and who is a knave?", "names": ["Daniel", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Daniel is a knave, and 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 Daniel is a knight. No contradiction is found in their claim that Samuel is a knave or Samuel is a knave. Samuel cannot be a knight, because this would contradict the claim of Daniel that Samuel is a knave or Samuel is a knave. Samuel cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight or Daniel is a knight. We have exhausted all possibilities for 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 or Samuel is a knave. Assume Samuel is a knight. No contradiction is found in their claim that Samuel is a knight or Daniel is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 1)), ('or', ('telling-truth', 1), ('telling-truth', 0)))", "index": 129, "solution_text_format": "(1) Daniel is a knave\n(2) Samuel is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and Aria. \"Aria is not a knave\" - Liam. Aria asserted: \"Aria is a knight if and only if Liam is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Liam is a knave, and 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 Liam is a knight. No contradiction is found in their claim that Aria is not a knave. Aria cannot be a knight, because this would contradict the claim of their own that Aria is a knight if and only if Liam is a knave. Aria cannot be a knave, because this would contradict the claim of Liam that Aria is not a knave. We have exhausted all possibilities for Aria, so let us go back and reconsider Liam. Assume Liam is a knave. No contradiction is found in their false claim that Aria is not a knave. Aria cannot be a knight, because this would contradict the false claim of Liam that Aria is not a knave. Assume Aria is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Liam is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 130, "solution_text_format": "(1) Liam is a knave\n(2) Aria is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and Noah. William expressed that Noah is a knight or Noah is a knight. In a statement by Noah: \"William is a knight if and only if William is a knave\". So who is a knight and who is a knave?", "names": ["William", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "William is a knave, and 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 William is a knight. No contradiction is found in their claim that Noah is a knight or Noah is a knight. Noah 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. Noah cannot be a knave, because this would contradict the claim of William that Noah is a knight or Noah is a knight. We have exhausted all possibilities for Noah, so let us go back and reconsider William. Assume William is a knave. No contradiction is found in their false claim that Noah is a knight or Noah is a knight. Noah cannot be a knight, because this would contradict the false claim of William that Noah is a knight or Noah is a knight. Assume Noah is a knave. No contradiction is found in their false claim that William is a knight if and only if William is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 131, "solution_text_format": "(1) William is a knave\n(2) Noah is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Mia, and Aria. \"Mia is a knight or Aria is a knight,\" Mia declared. Aria said, \"If Mia is a knight then Mia is a knight.\" So who is a knight and who is a knave?", "names": ["Mia", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Mia is a knight, and 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 Mia is a knight. No contradiction is found in their claim that Mia is a knight or Aria is a knight. Assume Aria is a knight. No contradiction is found in their claim that If Mia is a knight then Mia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 0)))", "index": 132, "solution_text_format": "(1) Mia is a knight\n(2) Aria is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aurora, and Charlotte. Aurora noted, \"Charlotte is a knight if and only if Aurora is a knight\". As Charlotte put it, \"If Charlotte is a knight then Aurora is a knave\". So who is a knight and who is a knave?", "names": ["Aurora", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Aurora is a knave, and 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 knight if and only if Aurora is a knight. Charlotte cannot be a knight, because this would contradict the claim of their own that If Charlotte is a knight then Aurora is a knave. Charlotte cannot be a knave, because this would contradict the claim of Aurora that Charlotte is a knight if and only if Aurora is a knight. 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 Charlotte is a knight if and only if Aurora is a knight. Assume Charlotte is a knight. No contradiction is found in their claim that If Charlotte is a knight then Aurora is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 133, "solution_text_format": "(1) Aurora is a knave\n(2) Charlotte is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Jacob. Chloe stated, \"Jacob is a knight and Jacob is a knave\". Jacob asserted: \"Chloe is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Chloe is a knave, and 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": "Chloe cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Jacob is a knave. Assume Chloe 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 Chloe is a knight. Assume Jacob is a knave. No contradiction is found in their false claim that Chloe is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('telling-truth', 0))", "index": 134, "solution_text_format": "(1) Chloe is a knave\n(2) Jacob is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and Logan. Liam was heard saying, \"Logan is a knave if and only if Logan is a knave\". Logan said, \"Liam is not a knave.\" So who is a knight and who is a knave?", "names": ["Liam", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Liam is a knight, and 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 Liam is a knight. No contradiction is found in their claim that Logan is a knave if and only if Logan is a knave. Assume Logan is a knight. No contradiction is found in their claim that Liam is not a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 1)), ('not', ('lying', 0)))", "index": 135, "solution_text_format": "(1) Liam is a knight\n(2) Logan is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Benjamin, and Lily. In Benjamin's words: \"If Lily is a knave then Lily is a knave\". \"Benjamin is a knave and Benjamin is a knight,\" Lily declared. So who is a knight and who is a knave?", "names": ["Benjamin", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Benjamin is a knight, and 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 Benjamin is a knight. No contradiction is found in their claim that If Lily is a knave then Lily is a knave. Lily cannot be a knight, because this would contradict the claim of their own that Benjamin is a knave and Benjamin is a knight. Assume Lily is a knave. No contradiction is found in their false claim that Benjamin is a knave and Benjamin is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 0)))", "index": 137, "solution_text_format": "(1) Benjamin is a knight\n(2) Lily is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Mason, and Zoey. Mason noted, \"Zoey is a knight and Zoey is a knave\". Zoey asserted: \"Mason is a knave\". So who is a knight and who is a knave?", "names": ["Mason", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Mason is a knave, and 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": "Mason cannot be a knight, because this would contradict the claim of their own that Zoey is a knight and Zoey is a knave. Assume Mason is a knave. No contradiction is found in their false claim that Zoey is a knight and Zoey is a knave. Assume Zoey is a knight. No contradiction is found in their claim that Mason is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('lying', 0))", "index": 138, "solution_text_format": "(1) Mason is a knave\n(2) Zoey is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and David. As William put it, \"David is a knight and David is a knight\". David remarked, \"If William is a knight then David is a knight\". So who is a knight and who is a knave?", "names": ["William", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "William is a knight, and 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 William is a knight. No contradiction is found in their claim that David is a knight and David is a knight. Assume David is a knight. No contradiction is found in their claim that If William is a knight then David is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "index": 140, "solution_text_format": "(1) William is a knight\n(2) David is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sophia, and Noah. \"If Sophia is a knight then Noah is a knight\" - Sophia. Noah noted, \"If Sophia is a knight then Noah is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Sophia is a knight, and 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 Sophia is a knight. No contradiction is found in their claim that If Sophia is a knight then Noah is a knight. Assume Noah is a knight. No contradiction is found in their claim that If Sophia is a knight then Noah is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "index": 141, "solution_text_format": "(1) Sophia is a knight\n(2) Noah is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Charlotte, and Evelyn. Charlotte noted, \"If Charlotte is a knight then Evelyn is a knave\". Evelyn noted, \"Evelyn is a knight if and only if Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Charlotte is a knight, and 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 Charlotte is a knight. No contradiction is found in their claim that If Charlotte is a knight then Evelyn is a knave. Evelyn cannot be a knight, because this would contradict the claim of Charlotte that If Charlotte is a knight then Evelyn is a knave. Assume Evelyn is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Charlotte is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 142, "solution_text_format": "(1) Charlotte is a knight\n(2) Evelyn is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Daniel, and Jack. Daniel expressed that If Daniel is a knight then Jack is a knave. \"Jack is a knight,\" Jack mentioned. So who is a knight and who is a knave?", "names": ["Daniel", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Daniel is a knight, and 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 If Daniel is a knight then Jack is a knave. Jack cannot be a knight, because this would contradict the claim of Daniel that If Daniel is a knight then Jack is a knave. Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 1))", "index": 143, "solution_text_format": "(1) Daniel is a knight\n(2) Jack is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Evelyn, and Harper. \"Harper is not a knave,\" Evelyn mentioned. In Harper's words: \"Evelyn is a knave if and only if Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Evelyn", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Evelyn is a knave, and 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 Evelyn is a knight. No contradiction is found in their claim that Harper is not a knave. Harper cannot be a knight, because this would contradict the claim of their own that Evelyn is a knave if and only if Evelyn is a knight. Harper cannot be a knave, because this would contradict the claim of Evelyn that Harper is not a knave. We have exhausted all possibilities for Harper, so let us go back and reconsider Evelyn. Assume Evelyn 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 Evelyn that Harper is not a knave. Assume Harper is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Evelyn is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 144, "solution_text_format": "(1) Evelyn is a knave\n(2) Harper is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Michael. \"Avery is a knight if and only if Michael is a knight,\" Avery mentioned. \"Avery is not a knight,\" Michael declared. So who is a knight and who is a knave?", "names": ["Avery", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Avery is a knave, and 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 Avery is a knight if and only if Michael is a knight. Michael cannot be a knight, because this would contradict the claim of their own that Avery is not a knight. Michael cannot be a knave, because this would contradict the claim of Avery that Avery is a knight if and only if Michael is a knight. We have exhausted all possibilities for Michael, so let us go back and reconsider Avery. Assume Avery is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Michael is a knight. Assume Michael 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": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 0)))", "index": 145, "solution_text_format": "(1) Avery is a knave\n(2) Michael is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Elizabeth, and Aurora. According to Elizabeth, \"Aurora is a knave if and only if Aurora is a knight\". Aurora remarked, \"Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Elizabeth is a knave, and 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": "Elizabeth cannot be a knight, because this would contradict the claim of their own that Aurora is a knave if and only if Aurora is a knight. Assume Elizabeth is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Aurora is a knight. Aurora cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight. Assume Aurora is a knave. No contradiction is found in their false claim that Elizabeth is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('telling-truth', 0))", "index": 146, "solution_text_format": "(1) Elizabeth is a knave\n(2) Aurora is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Riley, and Benjamin. As Riley put it, \"Riley is a knight or Benjamin is a knave\". Benjamin asserted: \"Riley is a knave if and only if Riley is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Riley is a knight, and 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 Riley is a knight. No contradiction is found in their claim that Riley is a knight or Benjamin is a knave. Benjamin 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 Benjamin is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Riley is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 147, "solution_text_format": "(1) Riley is a knight\n(2) Benjamin is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Penelope, and Oliver. Penelope said that Penelope is a knight if and only if Penelope is a knight. Oliver expressed that If Penelope is a knave then Penelope is a knight. So who is a knight and who is a knave?", "names": ["Penelope", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Penelope is a knight, and 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 Penelope is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Penelope is a knight. Assume Oliver is a knight. No contradiction is found in their claim that If Penelope is a knave then Penelope is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 0)))", "index": 148, "solution_text_format": "(1) Penelope is a knight\n(2) Oliver is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and James. As Chloe put it, \"James is a knight\". According to James, \"Chloe is a knave if and only if James is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Chloe is a knave, and 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 James is a knight. James cannot be a knight, because this would contradict the claim of their own that Chloe is a knave if and only if James is a knight. James cannot be a knave, because this would contradict the claim of Chloe that James is a knight. We have exhausted all possibilities for James, so let us go back and reconsider Chloe. Assume Chloe 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 Chloe that James is a knight. Assume James is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if James is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 149, "solution_text_format": "(1) Chloe is a knave\n(2) James is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Henry, and David. \"David is a knave and David is a knight,\" Henry mentioned. In a statement by David: \"Henry is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Henry is a knave, and 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": "Henry cannot be a knight, because this would contradict the claim of their own that David is a knave and David is a knight. Assume Henry is a knave. No contradiction is found in their false claim that David is a knave and David is a knight. David cannot be a knight, because this would contradict the claim of their own that Henry is a knight. Assume David 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', ('lying', 1), ('telling-truth', 1)), ('telling-truth', 0))", "index": 150, "solution_text_format": "(1) Henry is a knave\n(2) David is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Evelyn, and Elizabeth. Evelyn told you that Evelyn is a knight if and only if Evelyn is a knight. \"Evelyn is a knight\" - Elizabeth. So who is a knight and who is a knave?", "names": ["Evelyn", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Evelyn is a knight, and 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 Evelyn is a knight if and only if Evelyn is a knight. Assume Elizabeth 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', 0), ('telling-truth', 0)), ('telling-truth', 0))", "index": 151, "solution_text_format": "(1) Evelyn is a knight\n(2) Elizabeth is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jackson, and Elizabeth. As Jackson put it, \"Elizabeth is a knave and Jackson is a knight\". \"If Jackson is a knight then Jackson is a knight,\" Elizabeth declared. So who is a knight and who is a knave?", "names": ["Jackson", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Jackson is a knave, and 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 Jackson is a knight. No contradiction is found in their claim that Elizabeth is a knave and Jackson is a knight. Elizabeth cannot be a knight, because this would contradict the claim of Jackson that Elizabeth is a knave and Jackson is a knight. Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knight then Jackson is a knight. We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Jackson. Assume Jackson is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Jackson is a knight. Assume Elizabeth is a knight. No contradiction is found in their claim that If Jackson is a knight then Jackson is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('telling-truth', 0)))", "index": 152, "solution_text_format": "(1) Jackson is a knave\n(2) Elizabeth is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aiden, and Emma. Aiden stated, \"Aiden is a knight and Emma is a knight\". \"If Emma is a knight then Aiden is a knave\" - Emma. So who is a knight and who is a knave?", "names": ["Aiden", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Aiden is a knave, and 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 Aiden is a knight. No contradiction is found in their claim that Aiden is a knight and Emma is a knight. Emma cannot be a knight, because this would contradict the claim of their own that If Emma is a knight then Aiden is a knave. Emma cannot be a knave, because this would contradict the claim of Aiden that Aiden is a knight and Emma is a knight. We have exhausted all possibilities for Emma, so let us go back and reconsider Aiden. Assume Aiden is a knave. No contradiction is found in their false claim that Aiden is a knight and Emma is a knight. Assume Emma is a knight. No contradiction is found in their claim that If Emma is a knight then Aiden is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 153, "solution_text_format": "(1) Aiden is a knave\n(2) Emma is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Riley, and Matthew. \"Matthew is a knave or Matthew is a knave,\" Riley claimed. Matthew remarked, \"If Riley is a knave then Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Riley is a knave, and 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 Riley is a knight. No contradiction is found in their claim that Matthew is a knave or Matthew is a knave. Matthew cannot be a knight, because this would contradict the claim of Riley that Matthew is a knave or Matthew is a knave. Matthew cannot be a knave, because this would contradict the false claim of their own that If Riley is a knave then Matthew 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 knave or Matthew is a knave. Assume Matthew is a knight. No contradiction is found in their claim that If Riley is a knave then Matthew is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 1)))", "index": 156, "solution_text_format": "(1) Riley is a knave\n(2) Matthew is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Penelope, and Alexander. Penelope said, \"Alexander is a knave.\" \"Penelope is a knave if and only if Penelope is a knight,\" Alexander declared. So who is a knight and who is a knave?", "names": ["Penelope", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Penelope is a knight, and 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 Penelope is a knight. No contradiction is found in their claim that Alexander is a knave. Alexander cannot be a knight, because this would contradict the claim of Penelope that Alexander is a knave. Assume Alexander 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": "(('lying', 1), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 158, "solution_text_format": "(1) Penelope is a knight\n(2) Alexander is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aria, and Noah. \"Noah is not a knave,\" Aria mentioned. \"Aria is a knave if and only if Noah is a knight,\" Noah declared. So who is a knight and who is a knave?", "names": ["Aria", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Aria is a knave, and 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 Aria 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 Aria is a knave if and only if Noah is a knight. Noah cannot be a knave, because this would contradict the claim of Aria that Noah is not a knave. We have exhausted all possibilities for Noah, so let us go back and reconsider Aria. Assume Aria 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 Aria that Noah is not a knave. Assume Noah is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Noah is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 159, "solution_text_format": "(1) Aria is a knave\n(2) Noah is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Noah, and Jackson. Noah stated, \"Jackson is a knave if and only if Jackson is a knight\". Jackson told you that If Noah is a knight then Noah is a knave. So who is a knight and who is a knave?", "names": ["Noah", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Noah is a knave, and 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": "Noah 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 Noah 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 If Noah is a knight then Noah is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 0)))", "index": 160, "solution_text_format": "(1) Noah is a knave\n(2) Jackson is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ava, and Ethan. Ava asserted: \"Ava is a knight if and only if Ethan is a knave\". Ethan said, \"Ethan is a knight or Ava is a knight.\" So who is a knight and who is a knave?", "names": ["Ava", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Ava is a knave, and 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 Ava is a knight. No contradiction is found in their claim that Ava is a knight if and only if Ethan is a knave. Ethan cannot be a knight, because this would contradict the claim of Ava that Ava is a knight if and only if Ethan is a knave. Ethan cannot be a knave, because this would contradict the false claim of their own that Ethan is a knight or Ava is a knight. We have exhausted all possibilities for Ethan, 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 if and only if Ethan is a knave. Ethan cannot be a knight, because this would contradict the false claim of Ava that Ava 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 Ethan is a knight or Ava is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 1), ('telling-truth', 0)))", "index": 161, "solution_text_format": "(1) Ava is a knave\n(2) Ethan is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Abigail, and Victoria. Abigail noted, \"If Victoria is a knight then Victoria is a knight\". In a statement by Victoria: \"Victoria is a knight and Abigail is a knave\". So who is a knight and who is a knave?", "names": ["Abigail", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Abigail is a knight, and 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 Abigail is a knight. No contradiction is found in their claim that If Victoria is a knight then Victoria is a knight. Victoria cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Abigail is a knave. Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight and Abigail is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 162, "solution_text_format": "(1) Abigail is a knight\n(2) Victoria is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Joseph, and Jackson. \"If Jackson is a knight then Joseph is a knight\" - Joseph. \"If Jackson is a knight then Joseph is a knave,\" Jackson claimed. So who is a knight and who is a knave?", "names": ["Joseph", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Joseph is a knave, and 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 Joseph is a knight. No contradiction is found in their claim that If Jackson is a knight then Joseph is a knight. Jackson cannot be a knight, because this would contradict the claim of their own that If Jackson is a knight then Joseph 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 Joseph is a knave. We have exhausted all possibilities for Jackson, so let us go back and reconsider Joseph. Assume Joseph is a knave. No contradiction is found in their false claim that If Jackson is a knight then Joseph is a knight. Assume Jackson is a knight. No contradiction is found in their claim that If Jackson is a knight then Joseph is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 163, "solution_text_format": "(1) Joseph is a knave\n(2) Jackson is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Noah, and Charlotte. Noah told you that Charlotte is a knight and Noah is a knight. Charlotte was heard saying, \"Noah is a knave if and only if Noah is a knight\". So who is a knight and who is a knave?", "names": ["Noah", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Noah is a knave, and 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 Noah is a knight. No contradiction is found in their claim that Charlotte is a knight and Noah is a knight. Charlotte cannot be a knight, because this would contradict the claim of their own that Noah is a knave if and only if Noah is a knight. Charlotte cannot be a knave, because this would contradict the claim of Noah that Charlotte is a knight and Noah is a knight. We have exhausted all possibilities for Charlotte, 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 and Noah is a knight. Charlotte cannot be a knight, because this would contradict the claim of their own that Noah is a knave if and only if Noah is a knight. Assume Charlotte is a knave. No contradiction is found in their false claim that Noah is a knave if and only if Noah is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 164, "solution_text_format": "(1) Noah is a knave\n(2) Charlotte is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Chloe. Avery said that Chloe is a knight and Chloe is a knave. \"Avery is not a knave,\" Chloe mentioned. So who is a knight and who is a knave?", "names": ["Avery", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Avery is a knave, and 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": "Avery cannot be a knight, because this would contradict the claim of their own that Chloe is a knight and Chloe is a knave. Assume Avery is a knave. No contradiction is found in their false claim that Chloe is a knight and Chloe is a knave. Chloe cannot be a knight, because this would contradict the claim of their own that Avery is not a knave. Assume Chloe is a knave. No contradiction is found in their false claim that Avery is not a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 0)))", "index": 165, "solution_text_format": "(1) Avery is a knave\n(2) Chloe is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Daniel, and William. \"William is a knight or Daniel is a knight,\" Daniel declared. William expressed that Daniel is a knave or Daniel is a knave. So who is a knight and who is a knave?", "names": ["Daniel", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Daniel is a knight, and 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 Daniel is a knight. No contradiction is found in their claim that William is a knight or Daniel is a knight. William cannot be a knight, because this would contradict the claim of their own that Daniel is a knave or Daniel is a knave. Assume William is a knave. No contradiction is found in their false claim that Daniel is a knave or Daniel is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('lying', 0), ('lying', 0)))", "index": 168, "solution_text_format": "(1) Daniel is a knight\n(2) William is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Luke, and Alexander. Luke said, \"If Luke is a knight then Alexander is a knight.\" Alexander said, \"Alexander is a knight and Luke is a knight.\" So who is a knight and who is a knave?", "names": ["Luke", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Luke is a knight, and 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 Luke is a knight. No contradiction is found in their claim that If Luke is a knight then Alexander is a knight. Assume Alexander is a knight. No contradiction is found in their claim that Alexander is a knight and Luke is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 169, "solution_text_format": "(1) Luke is a knight\n(2) Alexander is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Mia, and Samuel. Mia expressed that Mia is a knight and Samuel is a knight. Samuel expressed that Mia is a knave and Mia is a knave. So who is a knight and who is a knave?", "names": ["Mia", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Mia is a knave, and 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 Mia is a knight. No contradiction is found in their claim that Mia is a knight and Samuel is a knight. Samuel cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Mia is a knave. Samuel cannot be a knave, because this would contradict the claim of Mia that Mia is a knight and Samuel is a knight. We have exhausted all possibilities for Samuel, 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 and Samuel is a knight. Assume Samuel is a knight. No contradiction is found in their claim that Mia is a knave and Mia is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 0), ('lying', 0)))", "index": 170, "solution_text_format": "(1) Mia is a knave\n(2) Samuel is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and Henry. According to Liam, \"Liam is a knight if and only if Henry is a knight\". Henry said, \"Liam is not a knight.\" So who is a knight and who is a knave?", "names": ["Liam", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Liam is a knave, and 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 Liam 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 Liam is not a knight. Henry cannot be a knave, because this would contradict the claim of Liam that Liam is a knight if and only if Henry is a knight. We have exhausted all possibilities for Henry, so let us go back and reconsider Liam. Assume Liam is a knave. No contradiction is found in their false claim that Liam is a knight if and only if Henry is a knight. Assume Henry 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', 0), ('telling-truth', 1)), ('not', ('telling-truth', 0)))", "index": 171, "solution_text_format": "(1) Liam is a knave\n(2) Henry is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and Joseph. \"If Joseph is a knight then Olivia is a knight\" - Olivia. Joseph commented, \"Olivia is a knave if and only if Joseph is a knight\". So who is a knight and who is a knave?", "names": ["Olivia", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Olivia is a knave, and 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 Olivia is a knight. No contradiction is found in their claim that If Joseph is a knight then Olivia is a knight. Joseph cannot be a knight, because this would contradict the claim of their own that Olivia is a knave if and only if Joseph is a knight. Joseph cannot be a knave, because this would contradict the false claim of their own that Olivia is a knave if and only if Joseph is a knight. We have exhausted all possibilities for Joseph, so let us go back and reconsider Olivia. Assume Olivia is a knave. No contradiction is found in their false claim that If Joseph is a knight then Olivia is a knight. Assume Joseph is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Joseph is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 172, "solution_text_format": "(1) Olivia is a knave\n(2) Joseph is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Evelyn, and Ethan. In a statement by Evelyn: \"Evelyn is a knight if and only if Ethan is a knight\". As Ethan put it, \"Ethan is a knight if and only if Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Evelyn is a knave, and 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 Evelyn is a knight. No contradiction is found in their claim that Evelyn 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 Ethan is a knight if and only if Evelyn is a knave. Ethan cannot be a knave, because this would contradict the claim of Evelyn that Evelyn is a knight if and only if Ethan is a knight. We have exhausted all possibilities for Ethan, so let us go back and reconsider Evelyn. Assume Evelyn is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Ethan is a knight. Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Evelyn is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 174, "solution_text_format": "(1) Evelyn is a knave\n(2) Ethan is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Aurora. Avery commented, \"If Aurora is a knight then Avery is a knight\". According to Aurora, \"Avery is a knight and Avery is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Avery is a knight, and 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 Avery is a knight. No contradiction is found in their claim that If Aurora is a knight then Avery is a knight. Assume Aurora is a knight. No contradiction is found in their claim that Avery is a knight and Avery is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 0)))", "index": 175, "solution_text_format": "(1) Avery is a knight\n(2) Aurora is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Isabella, and Evelyn. In a statement by Isabella: \"Evelyn is not a knave\". Evelyn stated, \"Isabella is a knave or Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Isabella is a knight, and 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 Isabella 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 Isabella is a knave or Isabella is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 176, "solution_text_format": "(1) Isabella is a knight\n(2) Evelyn is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: James, and Samuel. James expressed that Samuel is a knight or James is a knight. \"James is a knave or James is a knave,\" Samuel claimed. So who is a knight and who is a knave?", "names": ["James", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "James is a knight, and 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 James is a knight. No contradiction is found in their claim that Samuel is a knight or James is a knight. Samuel cannot be a knight, because this would contradict the claim of their own that James is a knave or James is a knave. Assume Samuel is a knave. No contradiction is found in their false claim that James is a knave or James is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 0)), ('or', ('lying', 0), ('lying', 0)))", "index": 178, "solution_text_format": "(1) James is a knight\n(2) Samuel is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Harper, and Zoey. Harper commented, \"Zoey is a knave if and only if Zoey is a knave\". Zoey was heard saying, \"Harper is a knave or Harper is a knight\". So who is a knight and who is a knave?", "names": ["Harper", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Harper is a knight, and 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 Harper is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Zoey is a knave. Assume Zoey is a knight. No contradiction is found in their claim that Harper is a knave or Harper is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 179, "solution_text_format": "(1) Harper is a knight\n(2) Zoey is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Harper, and Elizabeth. Harper remarked, \"Elizabeth is a knight and Elizabeth is a knight\". According to Elizabeth, \"Elizabeth is a knight or Harper is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Harper is a knight, and 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 Harper is a knight. No contradiction is found in their claim that Elizabeth is a knight and Elizabeth is a knight. Assume Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight or Harper is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 0)))", "index": 181, "solution_text_format": "(1) Harper is a knight\n(2) Elizabeth is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Liam. In Avery's words: \"Avery is a knight or Liam is a knave\". In a statement by Liam: \"Liam is a knight if and only if Avery is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Avery is a knave, and 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 Avery is a knight. No contradiction is found in their claim that Avery is a knight or Liam is a knave. Liam cannot be a knight, because this would contradict the claim of their own that Liam is a knight if and only if Avery 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 Avery is a knave. We have exhausted all possibilities for Liam, so let us go back and reconsider Avery. Assume Avery is a knave. No contradiction is found in their false claim that Avery is a knight or Liam is a knave. Assume Liam is a knight. No contradiction is found in their claim that Liam is a knight if and only if Avery is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 182, "solution_text_format": "(1) Avery is a knave\n(2) Liam is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sophia, and Emily. In Sophia's words: \"If Emily is a knight then Emily is a knight\". Emily stated, \"If Sophia is a knave then Emily is a knight\". So who is a knight and who is a knave?", "names": ["Sophia", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Sophia is a knight, and 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 If Emily is a knight then Emily is a knight. Assume Emily is a knight. No contradiction is found in their claim that If Sophia is a knave then Emily is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 1)))", "index": 183, "solution_text_format": "(1) Sophia is a knight\n(2) Emily is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Mason, and Oliver. \"Oliver is a knave if and only if Oliver is a knight,\" Mason mentioned. \"Mason is a knave if and only if Mason is a knave,\" Oliver declared. So who is a knight and who is a knave?", "names": ["Mason", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Mason is a knave, and 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": "Mason 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 Mason 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 Mason is a knave if and only if Mason is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 0), ('lying', 0)))", "index": 187, "solution_text_format": "(1) Mason is a knave\n(2) Oliver is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Amelia, and Aurora. \"Aurora is not a knight,\" Amelia mentioned. Aurora said, \"Amelia is a knave or Amelia is a knight.\" So who is a knight and who is a knave?", "names": ["Amelia", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Amelia is a knave, and 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 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 Amelia is a knave or Amelia 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 Amelia is a knave or Amelia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 188, "solution_text_format": "(1) Amelia is a knave\n(2) Aurora is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Amelia, and Jacob. \"Jacob is a knight and Jacob is a knight,\" Amelia declared. In a statement by Jacob: \"If Amelia is a knight then Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Amelia is a knight, and 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 Amelia is a knight. No contradiction is found in their claim that Jacob is a knight and Jacob is a knight. Assume Jacob is a knight. No contradiction is found in their claim that If Amelia is a knight then Jacob is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "index": 189, "solution_text_format": "(1) Amelia is a knight\n(2) Jacob is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Scarlett, and William. In Scarlett's words: \"William is a knight if and only if Scarlett is a knight\". William was heard saying, \"If Scarlett is a knave then Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Scarlett is a knight, and 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 Scarlett is a knight. No contradiction is found in their claim that William is a knight if and only if Scarlett 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.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 0)))", "index": 190, "solution_text_format": "(1) Scarlett is a knight\n(2) William is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Mason, and Harper. In a statement by Mason: \"Harper is a knave and Mason is a knight\". Harper stated, \"Mason is a knight or Mason is a knight\". So who is a knight and who is a knave?", "names": ["Mason", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Mason is a knave, and 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 Mason is a knight. No contradiction is found in their claim that Harper is a knave and Mason is a knight. Harper cannot be a knight, because this would contradict the claim of Mason that Harper is a knave and Mason is a knight. Harper cannot be a knave, because this would contradict the false claim of their own that Mason is a knight or Mason is a knight. We have exhausted all possibilities for Harper, so let us go back and reconsider Mason. Assume Mason is a knave. No contradiction is found in their false claim that Harper is a knave and Mason is a knight. Harper cannot be a knight, because this would contradict the claim of their own that Mason is a knight or Mason is a knight. Assume Harper is a knave. No contradiction is found in their false claim that Mason is a knight or Mason is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 0)))", "index": 191, "solution_text_format": "(1) Mason is a knave\n(2) Harper is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Noah, and Matthew. \"Matthew is a knave,\" Noah mentioned. Matthew commented, \"Noah is a knight if and only if Noah is a knave\". So who is a knight and who is a knave?", "names": ["Noah", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Noah is a knight, and 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 Matthew is a knave. Matthew cannot be a knight, because this would contradict the claim of Noah that Matthew 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.", "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 197, "solution_text_format": "(1) Noah is a knight\n(2) Matthew is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and David. Liam said that David is a knave or Liam is a knight. David asserted: \"If David is a knight then Liam is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Liam is a knave, and 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 Liam is a knight. No contradiction is found in their claim that David is a knave or Liam is a knight. David cannot be a knight, because this would contradict the claim of their own that If David is a knight then Liam 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 Liam is a knave. We have exhausted all possibilities for 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 knave or Liam is a knight. Assume David is a knight. No contradiction is found in their claim that If David is a knight then Liam is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 198, "solution_text_format": "(1) Liam is a knave\n(2) David is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Elizabeth, and Noah. Elizabeth told you that Elizabeth is a knight if and only if Noah is a knight. \"Elizabeth is a knave,\" Noah claimed. So who is a knight and who is a knave?", "names": ["Elizabeth", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Elizabeth is a knave, and 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 Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Noah is a knight. Noah cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave. Noah cannot be a knave, because this would contradict the claim of Elizabeth that Elizabeth is a knight if and only if Noah is a knight. 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 Elizabeth is a knight if and only if Noah is a knight. Assume Noah is a knight. No contradiction is found in their claim that Elizabeth is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 0))", "index": 199, "solution_text_format": "(1) Elizabeth is a knave\n(2) Noah is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Elizabeth. \"Elizabeth is a knave and Elizabeth is a knave\" - Ethan. Elizabeth said, \"Ethan is a knight and Elizabeth is a knight.\" So who is a knight and who is a knave?", "names": ["Ethan", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Ethan is a knight, and 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 Ethan is a knight. No contradiction is found in their claim that Elizabeth is a knave and Elizabeth is a knave. Elizabeth cannot be a knight, because this would contradict the claim of Ethan that Elizabeth is a knave and Elizabeth is a knave. Assume Elizabeth is a knave. No contradiction is found in their false claim that Ethan is a knight and Elizabeth is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 201, "solution_text_format": "(1) Ethan is a knight\n(2) Elizabeth is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Isabella, and Emma. \"Emma is a knave or Emma is a knave,\" Isabella claimed. Emma told you that Isabella is a knight or Emma is a knight. So who is a knight and who is a knave?", "names": ["Isabella", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Isabella is a knave, and 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 Isabella is a knight. No contradiction is found in their claim that Emma is a knave or Emma is a knave. Emma cannot be a knight, because this would contradict the claim of Isabella that Emma is a knave or Emma is a knave. Emma cannot be a knave, because this would contradict the false claim of their own that Isabella is a knight or Emma is a knight. We have exhausted all possibilities for Emma, so let us go back and reconsider Isabella. Assume Isabella is a knave. No contradiction is found in their false claim that Emma is a knave or Emma is a knave. Assume Emma is a knight. No contradiction is found in their claim that Isabella is a knight or Emma is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "index": 203, "solution_text_format": "(1) Isabella is a knave\n(2) Emma is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: David, and Ava. \"David is a knight if and only if Ava is a knight,\" David declared. Ava asserted: \"David is a knight and Ava is a knight\". So who is a knight and who is a knave?", "names": ["David", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "David is a knight, and 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 David is a knight. No contradiction is found in their claim that David is a knight if and only if Ava is a knight. Assume Ava is a knight. No contradiction is found in their claim that David is a knight and Ava is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 204, "solution_text_format": "(1) David is a knight\n(2) Ava is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sophia, and Aria. In Sophia's words: \"Aria is a knave if and only if Aria is a knight\". In Aria's words: \"Sophia is a knave and Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Sophia is a knave, and 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": "Sophia cannot be a knight, because this would contradict the claim of their own that Aria is a knave if and only if Aria is a knight. Assume Sophia is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Aria is a knight. Assume Aria is a knight. No contradiction is found in their claim that Sophia is a knave and Sophia is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('and', ('lying', 0), ('lying', 0)))", "index": 206, "solution_text_format": "(1) Sophia is a knave\n(2) Aria is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sebastian, and Ava. As Sebastian put it, \"Ava is a knight if and only if Sebastian is a knight\". According to Ava, \"Ava is a knight if and only if Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Sebastian is a knave, and 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 Sebastian is a knight. No contradiction is found in their claim that Ava is a knight if and only if Sebastian is a knight. Ava cannot be a knight, because this would contradict the claim of their own that Ava is a knight if and only if Sebastian is a knave. Ava cannot be a knave, because this would contradict the claim of Sebastian that Ava is a knight if and only if Sebastian is a knight. We have exhausted all possibilities for Ava, so let us go back and reconsider Sebastian. Assume Sebastian is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Sebastian is a knight. Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight if and only if Sebastian is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 207, "solution_text_format": "(1) Sebastian is a knave\n(2) Ava is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Lucas, and Sebastian. Lucas stated, \"Sebastian is a knave and Lucas is a knight\". As Sebastian put it, \"Sebastian is a knight if and only if Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Lucas is a knave, and 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 Lucas is a knight. No contradiction is found in their claim that Sebastian is a knave and Lucas is a knight. Sebastian cannot be a knight, because this would contradict the claim of Lucas that Sebastian is a knave and Lucas is a knight. Sebastian cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knight if and only if Sebastian 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 Lucas is a knight. Assume Sebastian is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Sebastian is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 1)))", "index": 208, "solution_text_format": "(1) Lucas is a knave\n(2) Sebastian is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Matthew, and Elizabeth. In Matthew's words: \"Matthew is a knight if and only if Elizabeth is a knave\". Elizabeth said, \"If Matthew is a knight then Matthew is a knave.\" So who is a knight and who is a knave?", "names": ["Matthew", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Matthew is a knight, and 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 Matthew is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Elizabeth is a knave. Elizabeth cannot be a knight, because this would contradict the claim of Matthew that Matthew 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 If Matthew is a knight then Matthew is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 0)))", "index": 209, "solution_text_format": "(1) Matthew is a knight\n(2) Elizabeth is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Isabella. Ella told you that Isabella is a knave. Isabella said that Isabella is a knight if and only if Ella is a knave. So who is a knight and who is a knave?", "names": ["Ella", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Ella is a knave, and 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 Ella is a knight. No contradiction is found in their claim that Isabella is a knave. Isabella cannot be a knight, because this would contradict the claim of Ella that Isabella is a knave. Isabella cannot be a knave, because this would contradict the false claim of their own that Isabella is a knight if and only if Ella is a knave. We have exhausted all possibilities for Isabella, so let us go back and reconsider Ella. Assume Ella 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 Isabella is a knight if and only if Ella is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 210, "solution_text_format": "(1) Ella is a knave\n(2) Isabella is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Amelia, and Olivia. As Amelia put it, \"If Amelia is a knight then Olivia is a knight\". Olivia said, \"Olivia is a knight if and only if Amelia is a knight.\" So who is a knight and who is a knave?", "names": ["Amelia", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Amelia is a knight, and 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 Amelia is a knight. No contradiction is found in their claim that If Amelia 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 if and only if Amelia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 213, "solution_text_format": "(1) Amelia is a knight\n(2) Olivia is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Lucas. In a statement by Ethan: \"Lucas is a knave if and only if Ethan is a knight\". Lucas said, \"Ethan is a knave.\" So who is a knight and who is a knave?", "names": ["Ethan", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Ethan is a knight, and 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 Ethan is a knight. No contradiction is found in their claim that Lucas is a knave if and only if Ethan is a knight. Lucas cannot be a knight, because this would contradict the claim of Ethan that Lucas is a knave if and only if Ethan is a knight. Assume Lucas 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": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('lying', 0))", "index": 215, "solution_text_format": "(1) Ethan is a knight\n(2) Lucas is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Evelyn, and Liam. Evelyn remarked, \"Evelyn is a knight if and only if Liam is a knave\". In a statement by Liam: \"Liam is a knight or Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Evelyn is a knight, and 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 Evelyn is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Liam is a knave. Liam cannot be a knight, because this would contradict the claim of Evelyn that Evelyn 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 Liam is a knight or Evelyn is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 0)))", "index": 216, "solution_text_format": "(1) Evelyn is a knight\n(2) Liam is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Victoria, and Abigail. Victoria asserted: \"If Abigail is a knave then Abigail is a knight\". \"Victoria is a knave if and only if Victoria is a knight,\" Abigail declared. So who is a knight and who is a knave?", "names": ["Victoria", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Victoria is a knave, and 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 Victoria is a knight. No contradiction is found in their claim that If Abigail is a knave then Abigail is a knight. Abigail 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. Abigail cannot be a knave, because this would contradict the claim of Victoria that If Abigail is a knave then 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 If Abigail is a knave then Abigail is a knight. Abigail cannot be a knight, because this would contradict the false claim of Victoria that If Abigail is a knave then Abigail is a knight. Assume Abigail is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Victoria is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 217, "solution_text_format": "(1) Victoria is a knave\n(2) Abigail is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and Charlotte. William commented, \"If William is a knight then Charlotte is a knight\". In a statement by Charlotte: \"William is a knight and Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["William", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "William is a knight, and 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 William is a knight. No contradiction is found in their claim that If William 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 and Charlotte is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 218, "solution_text_format": "(1) William is a knight\n(2) Charlotte is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Scarlett. Ella was heard saying, \"Scarlett is a knave or Scarlett is a knave\". \"Ella is a knight or Ella is a knave,\" Scarlett mentioned. So who is a knight and who is a knave?", "names": ["Ella", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Ella is a knave, and 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 Ella is a knight. No contradiction is found in their claim that Scarlett is a knave or Scarlett is a knave. Scarlett cannot be a knight, because this would contradict the claim of Ella that Scarlett is a knave or Scarlett is a knave. Scarlett 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 Scarlett, so let us go back and reconsider Ella. Assume Ella is a knave. No contradiction is found in their false claim that Scarlett is a knave or Scarlett is a knave. Assume Scarlett 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": "(('or', ('lying', 1), ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 219, "solution_text_format": "(1) Ella is a knave\n(2) Scarlett is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Benjamin, and Penelope. Benjamin noted, \"Penelope is a knight if and only if Penelope is a knave\". Penelope told you that Penelope is a knight and Benjamin is a knight. So who is a knight and who is a knave?", "names": ["Benjamin", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Benjamin is a knave, and 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": "Benjamin 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 Benjamin is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Penelope is a knave. Penelope cannot be a knight, because this would contradict the claim of their own that Penelope is a knight and Benjamin is a knight. Assume Penelope is a knave. No contradiction is found in their false claim that Penelope is a knight and Benjamin is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 222, "solution_text_format": "(1) Benjamin is a knave\n(2) Penelope is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Henry, and Benjamin. Henry expressed that Benjamin is a knight if and only if Benjamin is a knight. In Benjamin's words: \"Henry is a knave and Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Henry is a knight, and 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 Henry is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Benjamin is a knight. Benjamin cannot be a knight, because this would contradict the claim of their own that Henry is a knave and Benjamin is a knight. Assume Benjamin is a knave. No contradiction is found in their false claim that Henry is a knave and Benjamin is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 1)))", "index": 223, "solution_text_format": "(1) Henry is a knight\n(2) Benjamin is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: David, and Noah. David told you that Noah is a knight if and only if Noah is a knave. Noah expressed that David is a knave. So who is a knight and who is a knave?", "names": ["David", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "David is a knave, and 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": "David 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 David is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Noah is a knave. Assume Noah 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', 1), ('lying', 1)), ('lying', 0))", "index": 224, "solution_text_format": "(1) David is a knave\n(2) Noah is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Benjamin, and Jacob. Benjamin said that Jacob is a knight or Benjamin is a knight. Jacob noted, \"Jacob is a knight if and only if Benjamin is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Benjamin is a knave, and 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 Benjamin is a knight. No contradiction is found in their claim that Jacob is a knight or Benjamin is a knight. Jacob cannot be a knight, because this would contradict the claim of their own that Jacob is a knight if and only if Benjamin is a knave. Jacob cannot be a knave, because this would contradict the false claim of their own that Jacob is a knight if and only if Benjamin is a knave. We have exhausted all possibilities for Jacob, so let us go back and reconsider Benjamin. Assume Benjamin is a knave. No contradiction is found in their false claim that Jacob is a knight or Benjamin is a knight. Jacob cannot be a knight, because this would contradict the false claim of Benjamin that Jacob is a knight or Benjamin is a knight. Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Benjamin is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 225, "solution_text_format": "(1) Benjamin is a knave\n(2) Jacob is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Victoria, and Elizabeth. According to Victoria, \"Elizabeth is a knight and Victoria is a knight\". Elizabeth noted, \"Victoria is a knight if and only if Victoria is a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Victoria is a knave, and 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 Victoria is a knight. No contradiction is found in their claim that Elizabeth is a knight and Victoria is a knight. Elizabeth 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. Elizabeth cannot be a knave, because this would contradict the claim of Victoria that Elizabeth is a knight and Victoria is a knight. We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Victoria. Assume Victoria is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Victoria is a knight. Elizabeth 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 Elizabeth 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', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 226, "solution_text_format": "(1) Victoria is a knave\n(2) Elizabeth is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sophia, and Zoey. Sophia stated, \"Zoey is not a knight\". Zoey expressed that Sophia is a knight and Sophia is a knave. So who is a knight and who is a knave?", "names": ["Sophia", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Sophia is a knight, and 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 Sophia 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 Sophia that Zoey is not a knight. Assume Zoey is a knave. No contradiction is found in their false claim that Sophia is a knight and Sophia is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 227, "solution_text_format": "(1) Sophia is a knight\n(2) Zoey is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Charlotte, and Zoey. Charlotte remarked, \"Charlotte is a knight if and only if Zoey is a knave\". In a statement by Zoey: \"Charlotte is not a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Charlotte is a knight, and 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 Charlotte is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Zoey is a knave. Zoey cannot be a knight, because this would contradict the claim of Charlotte that Charlotte is a knight if and only if Zoey is a knave. Assume Zoey 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', 0), ('lying', 1)), ('not', ('telling-truth', 0)))", "index": 228, "solution_text_format": "(1) Charlotte is a knight\n(2) Zoey is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and Penelope. In a statement by William: \"Penelope is a knave if and only if Penelope is a knight\". In a statement by Penelope: \"William is a knave if and only if William is a knave\". So who is a knight and who is a knave?", "names": ["William", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "William is a knave, and 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": "William 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 William is a knave. No contradiction is found in their false claim that Penelope is a knave if and only if Penelope is a knight. Assume Penelope is a knight. No contradiction is found in their claim that William is a knave if and only if William is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 0), ('lying', 0)))", "index": 229, "solution_text_format": "(1) William is a knave\n(2) Penelope is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Harper, and Amelia. Harper said, \"Harper is a knight or Amelia is a knave.\" As Amelia put it, \"Harper is a knight if and only if Harper is a knave\". So who is a knight and who is a knave?", "names": ["Harper", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Harper is a knight, and 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 Harper is a knight. No contradiction is found in their claim that Harper is a knight or Amelia is a knave. Amelia cannot be a knight, because this would contradict the claim of their own that Harper is a knight if and only if Harper is a knave. Assume Amelia is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Harper is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 230, "solution_text_format": "(1) Harper is a knight\n(2) Amelia is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Logan, and James. Logan commented, \"James is a knave and James is a knight\". James remarked, \"Logan is a knight or Logan is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Logan is a knave, and 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": "Logan cannot be a knight, because this would contradict the claim of their own that James is a knave and James is a knight. Assume Logan is a knave. No contradiction is found in their false claim that James is a knave and James is a knight. James cannot be a knight, because this would contradict the claim of their own that Logan is a knight or Logan is a knight. Assume James is a knave. No contradiction is found in their false claim that Logan is a knight or Logan is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 0)))", "index": 231, "solution_text_format": "(1) Logan is a knave\n(2) James is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Isabella, and Amelia. Isabella was heard saying, \"Amelia is a knight if and only if Isabella is a knight\". Amelia asserted: \"Isabella is a knight if and only if Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Isabella is a knight, and 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 Isabella is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Isabella is a knight. 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.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 232, "solution_text_format": "(1) Isabella is a knight\n(2) Amelia is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jackson, and Harper. Jackson noted, \"Jackson is a knight and Harper is a knight\". Harper said that If Harper is a knight then Jackson is a knight. So who is a knight and who is a knave?", "names": ["Jackson", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Jackson is a knight, and 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 Jackson is a knight. No contradiction is found in their claim that Jackson is a knight and Harper is a knight. Assume Harper is a knight. No contradiction is found in their claim that If Harper is a knight then Jackson is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 233, "solution_text_format": "(1) Jackson is a knight\n(2) Harper is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sophia, and Mason. \"Mason is a knave and Mason is a knight,\" Sophia claimed. Mason stated, \"Sophia is a knave and Sophia is a knave\". So who is a knight and who is a knave?", "names": ["Sophia", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Sophia is a knave, and 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": "Sophia cannot be a knight, because this would contradict the claim of their own that Mason is a knave and Mason is a knight. Assume Sophia is a knave. No contradiction is found in their false claim that Mason is a knave and Mason is a knight. Assume Mason is a knight. No contradiction is found in their claim that Sophia is a knave and Sophia is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('and', ('lying', 0), ('lying', 0)))", "index": 235, "solution_text_format": "(1) Sophia is a knave\n(2) Mason is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Grace, and Amelia. In a statement by Grace: \"Amelia is a knave if and only if Amelia is a knight\". Amelia told you that If Grace is a knight then Amelia is a knight. So who is a knight and who is a knave?", "names": ["Grace", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Grace is a knave, and 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": "Grace cannot be a knight, because this would contradict the claim of their own that Amelia is a knave if and only if Amelia is a knight. Assume Grace is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Amelia is a knight. Assume Amelia is a knight. No contradiction is found in their claim that If Grace is a knight then Amelia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "index": 236, "solution_text_format": "(1) Grace is a knave\n(2) Amelia is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sebastian, and Aurora. Sebastian remarked, \"Sebastian is a knight and Aurora is a knave\". Aurora said, \"Sebastian is a knight or Sebastian is a knight.\" So who is a knight and who is a knave?", "names": ["Sebastian", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Sebastian is a knave, and 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 Sebastian is a knight. No contradiction is found in their claim that Sebastian is a knight and Aurora is a knave. Aurora cannot be a knight, because this would contradict the claim of Sebastian that Sebastian is a knight and Aurora is a knave. Aurora cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knight or Sebastian is a knight. We have exhausted all possibilities for Aurora, so let us go back and reconsider Sebastian. Assume Sebastian is a knave. No contradiction is found in their false claim that Sebastian is a knight and Aurora is a knave. Aurora cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight or Sebastian is a knight. Assume Aurora is a knave. No contradiction is found in their false claim that Sebastian is a knight or Sebastian is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 0)))", "index": 238, "solution_text_format": "(1) Sebastian is a knave\n(2) Aurora is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ava, and Zoey. Ava commented, \"Ava is a knight if and only if Zoey is a knave\". In Zoey's words: \"Ava is a knave if and only if Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Ava is a knave, and 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 Ava is a knight. No contradiction is found in their claim that Ava is a knight if and only if Zoey is a knave. Zoey cannot be a knight, because this would contradict the claim of Ava that Ava is a knight if and only if Zoey is a knave. Zoey cannot be a knave, because this would contradict the false claim of their own that Ava is a knave if and only if Zoey is a knight. We have exhausted all possibilities for Zoey, 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 if and only if Zoey is a knave. Zoey cannot be a knight, because this would contradict the false claim of Ava that Ava is a knight if and only if Zoey is a knave. Assume Zoey is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Zoey is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 240, "solution_text_format": "(1) Ava is a knave\n(2) Zoey is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Benjamin, and Jacob. In Benjamin's words: \"Jacob is a knight\". Jacob was heard saying, \"Jacob is a knight if and only if Benjamin is a knight\". So who is a knight and who is a knave?", "names": ["Benjamin", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Benjamin is a knight, and 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 Benjamin 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 Benjamin is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 241, "solution_text_format": "(1) Benjamin is a knight\n(2) Jacob is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Luke, and Avery. Luke asserted: \"Luke is a knight or Avery is a knave\". \"If Avery is a knight then Luke is a knight,\" Avery declared. So who is a knight and who is a knave?", "names": ["Luke", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Luke is a knight, and 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 Luke is a knight. No contradiction is found in their claim that Luke is a knight or Avery is a knave. Assume Avery is a knight. No contradiction is found in their claim that If Avery is a knight then Luke is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 242, "solution_text_format": "(1) Luke is a knight\n(2) Avery is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Jacob. Ella remarked, \"Ella is a knight and Jacob is a knight\". Jacob expressed that Jacob is a knight if and only if Ella is a knight. So who is a knight and who is a knave?", "names": ["Ella", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Ella is a knight, and 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 Ella is a knight. No contradiction is found in their claim that Ella is a knight and 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 Ella is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 243, "solution_text_format": "(1) Ella is a knight\n(2) Jacob is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Henry, and Aiden. Henry expressed that Aiden is a knave if and only if Aiden is a knight. \"Henry is not a knight,\" Aiden declared. So who is a knight and who is a knave?", "names": ["Henry", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Henry is a knave, and 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": "Henry 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 Henry 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 Aiden 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": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('not', ('telling-truth', 0)))", "index": 244, "solution_text_format": "(1) Henry is a knave\n(2) Aiden is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Luke. \"Owen is a knight or Luke is a knave\" - Owen. Luke stated, \"If Luke is a knight then Owen is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Owen is a knave, and 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 Owen is a knight. No contradiction is found in their claim that Owen is a knight or Luke is a knave. Luke cannot be a knight, because this would contradict the claim of their own that If Luke is a knight then Owen is a knave. Luke cannot be a knave, because this would contradict the false claim of their own that If Luke is a knight then Owen is a knave. We have exhausted all possibilities for Luke, so let us go back and reconsider Owen. Assume Owen is a knave. No contradiction is found in their false claim that Owen is a knight or Luke is a knave. Assume Luke is a knight. No contradiction is found in their claim that If Luke is a knight then Owen is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 245, "solution_text_format": "(1) Owen is a knave\n(2) Luke is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Lucas, and David. Lucas remarked, \"David is a knave or David is a knight\". David expressed that Lucas is not a knight. So who is a knight and who is a knave?", "names": ["Lucas", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Lucas is a knight, and 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 David is a knave or David is a knight. David cannot be a knight, because this would contradict the claim of their own that Lucas is not a knight. Assume David 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": "(('or', ('lying', 1), ('telling-truth', 1)), ('not', ('telling-truth', 0)))", "index": 246, "solution_text_format": "(1) Lucas is a knight\n(2) David is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Sebastian. Owen commented, \"Sebastian is a knight or Sebastian is a knave\". Sebastian expressed that Owen is a knave or Owen is a knave. So who is a knight and who is a knave?", "names": ["Owen", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Owen is a knight, and 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 Owen is a knight. No contradiction is found in their claim that Sebastian is a knight or Sebastian is a knave. Sebastian cannot be a knight, because this would contradict the claim of their own that Owen is a knave or Owen is a knave. Assume Sebastian is a knave. No contradiction is found in their false claim that Owen is a knave or Owen is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('or', ('lying', 0), ('lying', 0)))", "index": 247, "solution_text_format": "(1) Owen is a knight\n(2) Sebastian is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and Henry. Zoey noted, \"Zoey is a knight if and only if Henry is a knight\". Henry said that Henry is a knight if and only if Zoey is a knight. So who is a knight and who is a knave?", "names": ["Zoey", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Zoey is a knight, and 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 Zoey is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Henry is a knight. Assume Henry is a knight. No contradiction is found in their claim that Henry is a knight if and only if Zoey is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 248, "solution_text_format": "(1) Zoey is a knight\n(2) Henry is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Emily, and Benjamin. Emily stated, \"Benjamin is not a knight\". Benjamin noted, \"Benjamin is a knight if and only if Emily is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Emily is a knave, and 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 Emily 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 Emily that Benjamin is not a knight. Benjamin cannot be a knave, because this would contradict the false claim of their own that Benjamin is a knight if and only if Emily is a knave. We have exhausted all possibilities for Benjamin, so let us go back and reconsider Emily. Assume Emily 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 Benjamin is a knight if and only if Emily is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 249, "solution_text_format": "(1) Emily is a knave\n(2) Benjamin is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Lily, and Logan. Lily told you that Logan is a knave or Lily is a knight. \"Lily is a knave if and only if Logan is a knight,\" Logan claimed. So who is a knight and who is a knave?", "names": ["Lily", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Lily is a knave, and 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 Lily is a knight. No contradiction is found in their claim that Logan is a knave or Lily is a knight. Logan cannot be a knight, because this would contradict the claim of their own that Lily 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 Lily is a knave if and only if Logan is a knight. We have exhausted all possibilities for Logan, so let us go back and reconsider Lily. Assume Lily is a knave. No contradiction is found in their false claim that Logan is a knave or Lily is a knight. Assume Logan is a knight. No contradiction is found in their claim that Lily is a knave if and only if Logan is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 250, "solution_text_format": "(1) Lily is a knave\n(2) Logan is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Amelia, and Isabella. Amelia told you that Isabella is a knave if and only if Isabella is a knight. Isabella stated, \"Amelia is a knight and Isabella is a knight\". So who is a knight and who is a knave?", "names": ["Amelia", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Amelia is a knave, and 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": "Amelia 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 Amelia 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 Amelia is a knight and Isabella is a knight. Assume Isabella is a knave. No contradiction is found in their false claim that Amelia is a knight and Isabella is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 252, "solution_text_format": "(1) Amelia is a knave\n(2) Isabella is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Charlotte, and Sophia. Charlotte commented, \"Sophia is a knight if and only if Charlotte is a knight\". According to Sophia, \"Charlotte is a knave if and only if Sophia is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Charlotte is a knave, and 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 Charlotte is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Charlotte is a knight. Sophia cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave if and only if Sophia is a knight. Sophia cannot be a knave, because this would contradict the claim of Charlotte that Sophia is a knight if and only if Charlotte is a knight. We have exhausted all possibilities for Sophia, so let us go back and reconsider Charlotte. Assume Charlotte is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Charlotte is a knight. Assume Sophia is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Sophia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 255, "solution_text_format": "(1) Charlotte is a knave\n(2) Sophia is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Lucas, and James. Lucas asserted: \"Lucas is a knight if and only if James is a knight\". \"If James is a knight then Lucas is a knave,\" James declared. So who is a knight and who is a knave?", "names": ["Lucas", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Lucas is a knave, and 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 Lucas is a knight. No contradiction is found in their claim that Lucas is a knight if and only if James is a knight. James cannot be a knight, because this would contradict the claim of their own that If James is a knight then Lucas is a knave. James cannot be a knave, because this would contradict the claim of Lucas that Lucas is a knight if and only if James is a knight. We have exhausted all possibilities for James, 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 if and only if James is a knight. Assume James is a knight. No contradiction is found in their claim that If James is a knight then Lucas is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 256, "solution_text_format": "(1) Lucas is a knave\n(2) James is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Luke, and Samuel. Luke expressed that Samuel is a knave if and only if Luke is a knight. Samuel 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": ["Luke", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Luke is a knave, and 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 Luke is a knight. No contradiction is found in their claim that Samuel is a knave if and only if Luke is a knight. Samuel cannot be a knight, because this would contradict the claim of Luke that Samuel is a knave if and only if Luke is a knight. Samuel cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight if and only if Luke is a knave. We have exhausted all possibilities for Samuel, so let us go back and reconsider Luke. Assume Luke is a knave. No contradiction is found in their false claim that Samuel is a knave if and only if Luke is a knight. Samuel cannot be a knight, because this would contradict the false claim of Luke that Samuel is a knave if and only if Luke is a knight. Assume Samuel is a knave. No contradiction is found in their false claim that Samuel 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)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 258, "solution_text_format": "(1) Luke is a knave\n(2) Samuel is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sofia, and James. \"James is a knight if and only if James is a knight,\" Sofia claimed. James asserted: \"Sofia is not a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Sofia is a knight, and 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 a knight if and only if James is a knight. James cannot be a knight, because this would contradict the claim of their own that Sofia is not a knight. Assume James 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": "(('<=>', ('telling-truth', 1), ('telling-truth', 1)), ('not', ('telling-truth', 0)))", "index": 259, "solution_text_format": "(1) Sofia is a knight\n(2) James is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Grace, and Elizabeth. Grace stated, \"Elizabeth is not a knight\". \"Grace is a knave and Grace is a knight,\" Elizabeth claimed. So who is a knight and who is a knave?", "names": ["Grace", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Grace is a knight, and 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 Grace 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 Grace that Elizabeth is not a knight. Assume Elizabeth is a knave. No contradiction is found in their false claim that Grace is a knave and Grace is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 0)))", "index": 260, "solution_text_format": "(1) Grace is a knight\n(2) Elizabeth is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Scarlett, and Abigail. Scarlett noted, \"Abigail is a knave\". According to Abigail, \"Scarlett is a knave or Scarlett is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Scarlett is a knave, and 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 Scarlett 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 Scarlett that Abigail is a knave. Abigail cannot be a knave, because this would contradict the false claim of their own that Scarlett is a knave or Scarlett is a knight. We have exhausted all possibilities for Abigail, so let us go back and reconsider Scarlett. Assume Scarlett 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 Scarlett is a knave or Scarlett is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 261, "solution_text_format": "(1) Scarlett is a knave\n(2) Abigail is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Evelyn. \"Evelyn is a knave or Evelyn is a knight\" - Ella. Evelyn asserted: \"Ella is not a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Ella is a knight, and 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 Evelyn is a knave or Evelyn is a knight. Assume Evelyn 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": "(('or', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 0)))", "index": 262, "solution_text_format": "(1) Ella is a knight\n(2) Evelyn is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Aria. Owen expressed that Aria is a knave if and only if Aria is a knave. Aria stated, \"Owen is a knight or Owen is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Owen is a knight, and 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 Owen is a knight. No contradiction is found in their claim that Aria is a knave if and only if Aria is a knave. Assume Aria is a knight. No contradiction is found in their claim that Owen is a knight or Owen is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 263, "solution_text_format": "(1) Owen is a knight\n(2) Aria is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and Isabella. Olivia remarked, \"Isabella is a knave or Isabella is a knave\". Isabella said that Olivia is a knight or Isabella is a knight. So who is a knight and who is a knave?", "names": ["Olivia", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Olivia is a knave, and 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 Isabella is a knave or Isabella is a knave. Isabella cannot be a knight, because this would contradict the claim of Olivia that Isabella is a knave or Isabella is a knave. Isabella cannot be a knave, because this would contradict the false claim of their own that Olivia is a knight or Isabella is a knight. We have exhausted all possibilities for Isabella, so let us go back and reconsider Olivia. Assume Olivia is a knave. No contradiction is found in their false claim that Isabella is a knave or Isabella is a knave. Assume Isabella is a knight. No contradiction is found in their claim that Olivia is a knight or Isabella is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1)))", "index": 264, "solution_text_format": "(1) Olivia is a knave\n(2) Isabella is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aria, and Elizabeth. Aria remarked, \"Elizabeth is not a knight\". Elizabeth commented, \"Aria is a knave if and only if Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Aria", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Aria is a knave, and 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 Aria 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 Aria that Elizabeth is not a knight. Elizabeth cannot be a knave, because this would contradict the false claim of their own that Aria is a knave if and only if Elizabeth is a knight. We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Aria. Assume Aria 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 Aria is a knave if and only if Elizabeth is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 265, "solution_text_format": "(1) Aria is a knave\n(2) Elizabeth is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Olivia. Ethan told you that Olivia is a knave if and only if Ethan is a knight. \"Ethan is a knave or Olivia is a knight,\" Olivia claimed. So who is a knight and who is a knave?", "names": ["Ethan", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Ethan is a knight, and 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 Ethan is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Ethan is a knight. Olivia cannot be a knight, because this would contradict the claim of Ethan that Olivia is a knave if and only if Ethan is a knight. Assume Olivia is a knave. No contradiction is found in their false claim that Ethan is a knave or Olivia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 1)))", "index": 266, "solution_text_format": "(1) Ethan is a knight\n(2) Olivia is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Isabella, and Zoey. \"If Zoey is a knight then Zoey is a knight,\" Isabella claimed. Zoey noted, \"Isabella is a knave and Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Isabella is a knight, and 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 Isabella is a knight. No contradiction is found in their claim that If Zoey is a knight then Zoey is a knight. Zoey cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Zoey is a knight. Assume Zoey is a knave. No contradiction is found in their false claim that Isabella is a knave and Zoey is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 1)))", "index": 267, "solution_text_format": "(1) Isabella is a knight\n(2) Zoey is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: David, and Mia. As David put it, \"Mia is a knave or David is a knight\". Mia told you that David is a knight and David is a knight. So who is a knight and who is a knave?", "names": ["David", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "David is a knight, and 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 David is a knight. No contradiction is found in their claim that Mia is a knave or David is a knight. Assume Mia is a knight. No contradiction is found in their claim that David is a knight and David is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 0)))", "index": 269, "solution_text_format": "(1) David is a knight\n(2) Mia is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Victoria, and Jackson. Victoria expressed that Jackson is a knight if and only if Jackson is a knight. Jackson expressed that Victoria is a knight or Victoria is a knave. So who is a knight and who is a knave?", "names": ["Victoria", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Victoria is a knight, and 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 Jackson is a knight if and only if Jackson is a knight. Assume Jackson is a knight. No contradiction is found in their claim that Victoria is a knight or Victoria is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 270, "solution_text_format": "(1) Victoria is a knight\n(2) Jackson is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ava, and Harper. Ava noted, \"Harper is a knight if and only if Ava is a knight\". According to Harper, \"Ava is a knave if and only if Harper is a knight\". So who is a knight and who is a knave?", "names": ["Ava", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Ava is a knave, and 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 Ava is a knight. No contradiction is found in their claim that Harper is a knight if and only if Ava is a knight. Harper cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Harper is a knight. Harper cannot be a knave, because this would contradict the claim of Ava that Harper is a knight if and only if Ava 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 Harper is a knight if and only if Ava is a knight. Assume Harper is a knight. No contradiction is found in their claim that Ava is a knave if and only if Harper is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 272, "solution_text_format": "(1) Ava is a knave\n(2) Harper is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Aria. Ella remarked, \"Aria is a knave if and only if Aria is a knave\". Aria asserted: \"Ella is a knight and Ella is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Ella is a knight, and 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 Ella is a knight. No contradiction is found in their claim that Aria is a knave if and only if Aria is a knave. Aria cannot be a knight, because this would contradict the claim of their own that Ella is a knight and Ella is a knave. Assume Aria 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": "(('<=>', ('lying', 1), ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 273, "solution_text_format": "(1) Ella is a knight\n(2) Aria is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and Henry. As William put it, \"William is a knight if and only if William is a knight\". Henry was heard saying, \"If William is a knave then William is a knight\". So who is a knight and who is a knave?", "names": ["William", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "William is a knight, and 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 William is a knight if and only if William is a knight. Assume Henry is a knight. No contradiction is found in their claim that If William is a knave then William is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 0)))", "index": 274, "solution_text_format": "(1) William is a knight\n(2) Henry is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and Ava. As William put it, \"Ava is a knave or Ava is a knight\". \"If William is a knight then William is a knight\" - Ava. So who is a knight and who is a knave?", "names": ["William", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "William is a knight, and 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 William is a knight. No contradiction is found in their claim that Ava is a knave or Ava is a knight. Assume Ava is a knight. No contradiction is found in their claim that If William is a knight then William is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 0)))", "index": 275, "solution_text_format": "(1) William is a knight\n(2) Ava is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Oliver, and Jacob. Oliver commented, \"Oliver is a knight and Jacob is a knight\". Jacob remarked, \"Oliver is a knight if and only if Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Oliver is a knight, and 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 Oliver is a knight and Jacob is a knight. Assume Jacob is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Jacob is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 276, "solution_text_format": "(1) Oliver is a knight\n(2) Jacob is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aria, and Aurora. \"Aurora is a knave\" - Aria. \"Aria is a knave and Aria is a knight,\" Aurora declared. So who is a knight and who is a knave?", "names": ["Aria", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Aria is a knight, and 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 knave. Aurora cannot be a knight, because this would contradict the claim of Aria that Aurora is a knave. Assume Aurora is a knave. No contradiction is found in their false claim that Aria is a knave and Aria is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('lying', 0), ('telling-truth', 0)))", "index": 278, "solution_text_format": "(1) Aria is a knight\n(2) Aurora is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Oliver, and Evelyn. Oliver stated, \"If Oliver is a knight then Evelyn is a knave\". \"Oliver is a knight and Evelyn is a knight\" - Evelyn. So who is a knight and who is a knave?", "names": ["Oliver", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Oliver is a knight, and 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 Oliver is a knight. No contradiction is found in their claim that If Oliver is a knight then Evelyn is a knave. Evelyn cannot be a knight, because this would contradict the claim of Oliver that If Oliver is a knight then Evelyn is a knave. Assume Evelyn is a knave. No contradiction is found in their false claim that Oliver is a knight and Evelyn is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 279, "solution_text_format": "(1) Oliver is a knight\n(2) Evelyn is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sofia, and Evelyn. \"Evelyn is a knight or Evelyn is a knight\" - Sofia. In a statement by Evelyn: \"Evelyn is a knight and Sofia is a knave\". So who is a knight and who is a knave?", "names": ["Sofia", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Sofia is a knave, and 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 Sofia is a knight. No contradiction is found in their claim that Evelyn is a knight or Evelyn is a knight. Evelyn cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight and Sofia is a knave. Evelyn cannot be a knave, because this would contradict the claim of Sofia that Evelyn is a knight or Evelyn is a knight. We have exhausted all possibilities for Evelyn, so let us go back and reconsider Sofia. Assume Sofia is a knave. No contradiction is found in their false claim that Evelyn is a knight or Evelyn is a knight. Evelyn cannot be a knight, because this would contradict the false claim of Sofia that Evelyn is a knight or Evelyn is a knight. Assume Evelyn is a knave. No contradiction is found in their false claim that Evelyn is a knight and Sofia is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 0)))", "index": 280, "solution_text_format": "(1) Sofia is a knave\n(2) Evelyn is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jackson, and Emma. In a statement by Jackson: \"Jackson is a knight if and only if Emma is a knight\". \"Emma is a knight if and only if Jackson is a knave\" - Emma. So who is a knight and who is a knave?", "names": ["Jackson", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Jackson is a knave, and 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 Jackson is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Emma is a knight. Emma cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Jackson is a knave. Emma cannot be a knave, because this would contradict the claim of Jackson that Jackson 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 Jackson. Assume Jackson is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Emma is a knight. Assume Emma is a knight. No contradiction is found in their claim that Emma is a knight if and only if Jackson is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 281, "solution_text_format": "(1) Jackson is a knave\n(2) Emma is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Logan, and Charlotte. As Logan put it, \"Charlotte is a knave if and only if Logan is a knight\". Charlotte noted, \"If Logan is a knight then Logan is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Logan is a knight, and 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 Logan is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Logan is a knight. Charlotte cannot be a knight, because this would contradict the claim of Logan that Charlotte is a knave if and only if Logan is a knight. Assume Charlotte is a knave. No contradiction is found in their false claim that If Logan is a knight then Logan is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 0), ('lying', 0)))", "index": 283, "solution_text_format": "(1) Logan is a knight\n(2) Charlotte is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Harper, and Henry. \"If Henry is a knave then Harper is a knight\" - Harper. Henry said, \"Harper is a knave if and only if Harper is a knave.\" So who is a knight and who is a knave?", "names": ["Harper", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Harper is a knight, and 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 If Henry is a knave then Harper is a knight. Assume Henry is a knight. No contradiction is found in their claim that Harper is a knave if and only if Harper is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('lying', 0)))", "index": 284, "solution_text_format": "(1) Harper is a knight\n(2) Henry is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Emma, and Evelyn. Emma stated, \"Evelyn is a knight if and only if Evelyn is a knave\". Evelyn commented, \"If Emma is a knave then Emma is a knight\". So who is a knight and who is a knave?", "names": ["Emma", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Emma is a knave, and 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": "Emma 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 Emma 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 If Emma is a knave then Emma is a knight. Assume Evelyn is a knave. No contradiction is found in their false claim that If Emma is a knave then Emma is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 0)))", "index": 285, "solution_text_format": "(1) Emma is a knave\n(2) Evelyn is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Ethan. Chloe said that Ethan is a knight or Ethan is a knight. In Ethan's words: \"Chloe is a knave and Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Chloe", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Chloe is a knave, and 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 Chloe is a knight. No contradiction is found in their claim that Ethan is a knight or Ethan is a knight. Ethan cannot be a knight, because this would contradict the claim of their own that Chloe is a knave and Ethan is a knight. Ethan cannot be a knave, because this would contradict the claim of Chloe that Ethan is a knight or Ethan is a knight. We have exhausted all possibilities for Ethan, so let us go back and reconsider Chloe. Assume Chloe is a knave. No contradiction is found in their false claim that Ethan is a knight or Ethan is a knight. Ethan cannot be a knight, because this would contradict the false claim of Chloe that Ethan is a knight or Ethan is a knight. Assume Ethan is a knave. No contradiction is found in their false claim that Chloe is a knave and Ethan is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 1)))", "index": 286, "solution_text_format": "(1) Chloe is a knave\n(2) Ethan is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Elizabeth, and Michael. Elizabeth told you that Michael is a knave and Michael is a knight. As Michael put it, \"Elizabeth is not a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Elizabeth is a knave, and 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": "Elizabeth cannot be a knight, because this would contradict the claim of their own that Michael is a knave and Michael is a knight. Assume Elizabeth 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 Elizabeth is not a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('not', ('telling-truth', 0)))", "index": 287, "solution_text_format": "(1) Elizabeth is a knave\n(2) Michael is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Grace. Chloe was heard saying, \"Chloe is a knight and Grace is a knave\". \"Chloe is a knight or Chloe is a knight\" - Grace. So who is a knight and who is a knave?", "names": ["Chloe", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Chloe is a knave, and 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 Chloe is a knight. No contradiction is found in their claim that Chloe is a knight and Grace is a knave. Grace cannot be a knight, because this would contradict the claim of Chloe that Chloe is a knight and Grace is a knave. Grace cannot be a knave, because this would contradict the false claim of their own that Chloe is a knight or Chloe is a knight. We have exhausted all possibilities for Grace, 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 and Grace is a knave. Grace cannot be a knight, because this would contradict the claim of their own that Chloe is a knight or Chloe is a knight. Assume Grace is a knave. No contradiction is found in their false claim that Chloe is a knight or Chloe is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 0)))", "index": 288, "solution_text_format": "(1) Chloe is a knave\n(2) Grace is a knave"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Logan, and Emily. Logan expressed that Logan is a knight or Emily is a knave. Emily remarked, \"Logan is a knave if and only if Emily is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Logan is a knave, and 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 Logan is a knight. No contradiction is found in their claim that Logan is a knight or Emily is a knave. Emily cannot be a knight, because this would contradict the claim of their own that Logan is a knave if and only if Emily is a knight. Emily cannot be a knave, because this would contradict the false claim of their own that Logan is a knave if and only if Emily is a knight. We have exhausted all possibilities for Emily, 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 or Emily is a knave. Assume Emily is a knight. No contradiction is found in their claim that Logan is a knave if and only if Emily is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 289, "solution_text_format": "(1) Logan is a knave\n(2) Emily is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Logan. Ella asserted: \"Ella is a knight if and only if Logan is a knight\". In Logan's words: \"Logan is a knight and Ella is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Ella is a knight, and 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 Ella is a knight. No contradiction is found in their claim that Ella is a knight if and only if Logan is a knight. Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight and Ella is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 290, "solution_text_format": "(1) Ella is a knight\n(2) Logan is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sophia, and Ella. In Sophia's words: \"Ella is a knight if and only if Ella is a knight\". Ella told you that If Sophia is a knave then Sophia is a knight. So who is a knight and who is a knave?", "names": ["Sophia", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Sophia is a knight, and 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 Sophia is a knight. No contradiction is found in their claim that Ella is a knight if and only if Ella is a knight. Assume Ella is a knight. No contradiction is found in their claim that If Sophia is a knave then Sophia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 0)))", "index": 291, "solution_text_format": "(1) Sophia is a knight\n(2) Ella is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Noah, and Ava. Noah commented, \"Ava is not a knave\". Ava said, \"Noah is a knight or Noah is a knave.\" So who is a knight and who is a knave?", "names": ["Noah", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Noah is a knight, and 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 Noah 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 Noah is a knight or Noah is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 292, "solution_text_format": "(1) Noah is a knight\n(2) Ava is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Riley, and Ethan. Riley noted, \"Ethan is a knight if and only if Riley is a knight\". \"Riley is a knight if and only if Ethan is a knight,\" Ethan mentioned. So who is a knight and who is a knave?", "names": ["Riley", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Riley is a knight, and 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 Ethan is a knight if and only if Riley is a knight. Assume Ethan is a knight. No contradiction is found in their claim that Riley 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', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 294, "solution_text_format": "(1) Riley is a knight\n(2) Ethan is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Oliver, and Emma. As Oliver put it, \"Oliver is a knight or Emma is a knave\". \"Emma is a knight if and only if Oliver is a knave,\" Emma declared. So who is a knight and who is a knave?", "names": ["Oliver", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Oliver is a knave, and 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 Oliver is a knight. No contradiction is found in their claim that Oliver is a knight or Emma is a knave. Emma cannot be a knight, because this would contradict the claim of their own that Emma is a knight if and only if Oliver is a knave. Emma cannot be a knave, because this would contradict the false claim of their own that Emma is a knight if and only if Oliver is a knave. We have exhausted all possibilities for Emma, so let us go back and reconsider Oliver. Assume Oliver is a knave. No contradiction is found in their false claim that Oliver is a knight or Emma is a knave. Assume Emma is a knight. No contradiction is found in their claim that Emma is a knight if and only if Oliver is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 296, "solution_text_format": "(1) Oliver is a knave\n(2) Emma is a knight"} | |
| {"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and Samuel. Liam said, \"If Samuel is a knight then Samuel is a knight.\" \"Liam is a knight if and only if Liam is a knave,\" Samuel mentioned. So who is a knight and who is a knave?", "names": ["Liam", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Liam is a knight, and 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 Liam is a knight. No contradiction is found in their claim that If Samuel is a knight then Samuel is a knight. Samuel 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 Samuel 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": "(('->', ('telling-truth', 1), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 298, "solution_text_format": "(1) Liam is a knight\n(2) Samuel is a knave"} | |