test/people4_num100.jsonl

{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Alexander, Oliver, and David. According to Zoey, \"David is a knight\". Alexander said, \"Zoey is not a knave.\" In Oliver's words: \"If Oliver is a knight then David is a knave\". David expressed that Alexander is a knight and Oliver is a knight. So who is a knight and who is a knave?", "names": ["Zoey", "Alexander", "Oliver", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Zoey is a knave, Alexander is a knave, Oliver is a knight, and David is a knave.", "solution_text_format": "(1) Zoey is a knave\n(2) Alexander is a knave\n(3) Oliver is a knight\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that David is a knight.", "Assume David is a knight. No contradiction is found in their claim that Alexander is a knight and Oliver is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Zoey is not a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that If Oliver is a knight then David is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that If Oliver is a knight then David is a knave.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Alexander.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Zoey is not a knave.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider David.", "David cannot be a knave, because this would contradict the claim of Zoey that David is a knight.", "We have exhausted all possibilities for David, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that David is a knight.", "David cannot be a knight, because this would contradict the false claim of Zoey that David is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Alexander is a knight and Oliver is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Zoey is not a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Zoey is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Oliver is a knight then David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('not', ('lying', 0)), ('->', ('telling-truth', 2), ('lying', 3)), ('and', ('telling-truth', 1), ('telling-truth', 2)))", "index": 0}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Oliver, William, and Isabella. In a statement by Evelyn: \"Oliver is a knave\". \"Isabella is a knight\" - Oliver. William commented, \"Isabella is a knight\". Isabella said, \"If Isabella is a knight then Evelyn is a knave.\" So who is a knight and who is a knave?", "names": ["Evelyn", "Oliver", "William", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Evelyn is a knave, Oliver is a knight, William is a knight, and Isabella is a knight.", "solution_text_format": "(1) Evelyn is a knave\n(2) Oliver is a knight\n(3) William is a knight\n(4) Isabella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that Oliver is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Evelyn that Oliver is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the false claim of Oliver that Isabella is a knight.", "Isabella cannot be a knave, because this would contradict the false claim of their own that If Isabella is a knight then Evelyn is a knave.", "We have exhausted all possibilities for Isabella and Oliver, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Isabella is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that If Isabella is a knight then Evelyn is a knave.", "Assume William is a knight. No contradiction is found in their claim that Isabella is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('telling-truth', 3), ('telling-truth', 3), ('->', ('telling-truth', 3), ('lying', 0)))", "index": 1}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Ella, Jack, and James. Oliver said, \"Ella is not a knight.\" Ella asserted: \"If Oliver is a knave then Jack is a knight\". As Jack put it, \"If Ella is a knave then James is a knave\". James remarked, \"Oliver is not a knave\". So who is a knight and who is a knave?", "names": ["Oliver", "Ella", "Jack", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Oliver is a knave, Ella is a knight, Jack is a knight, and James is a knave.", "solution_text_format": "(1) Oliver is a knave\n(2) Ella is a knight\n(3) Jack is a knight\n(4) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Ella is not a knight.", "Ella cannot be a knight, because this would contradict the claim of Oliver that Ella is not a knight.", "Ella cannot be a knave, because this would contradict the false claim of their own that If Oliver is a knave then Jack is a knight.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Ella is not a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Oliver is a knave then Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Ella is a knave then James is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Oliver is not a knave.", "Assume James is a knave. No contradiction is found in their false claim that Oliver is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 2)), ('->', ('lying', 1), ('lying', 3)), ('not', ('lying', 0)))", "index": 2}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Oliver, Jack, and Aurora. Elizabeth said that Aurora is a knave. Oliver remarked, \"Jack is a knave\". \"Elizabeth is not a knight,\" Jack declared. Aurora said that Jack is a knight if and only if Aurora is a knight. So who is a knight and who is a knave?", "names": ["Elizabeth", "Oliver", "Jack", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Elizabeth is a knave, Oliver is a knave, Jack is a knight, and Aurora is a knight.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Oliver is a knave\n(3) Jack is a knight\n(4) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth 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 Elizabeth that Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Aurora is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knight.", "Jack cannot be a knave, because this would contradict the false claim of Aurora that Jack is a knight if and only if Aurora is a knight.", "We have exhausted all possibilities for Jack and Aurora, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Jack is a knight if and only if Aurora is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Jack is a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Jack is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('lying', 2), ('not', ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)))", "index": 3}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Luke, Ethan, and Avery. \"Ethan is not a knave\" - Liam. Luke remarked, \"Avery is a knight or Avery is a knave\". Ethan stated, \"Avery is a knight or Liam is a knight\". \"Ethan is a knight if and only if Luke is a knave\" - Avery. So who is a knight and who is a knave?", "names": ["Liam", "Luke", "Ethan", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Liam is a knight, Luke is a knight, Ethan is a knight, and Avery is a knave.", "solution_text_format": "(1) Liam is a knight\n(2) Luke is a knight\n(3) Ethan is a knight\n(4) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Ethan is not a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that Avery is a knight or Liam is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Luke is a knave.", "Luke cannot be a knight, because this would contradict the claim of Avery that Ethan is a knight if and only if Luke is a knave.", "Luke cannot be a knave, because this would contradict the false claim of their own that Avery is a knight or Avery is a knave.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Avery is a knight or Avery is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('telling-truth', 3), ('lying', 3)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('telling-truth', 2), ('lying', 1)))", "index": 4}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, Logan, Jacob, and Sebastian. Samuel told you that Sebastian is not a knave. Logan asserted: \"Samuel is a knight if and only if Logan is a knight\". In a statement by Jacob: \"Logan is a knight\". Sebastian was heard saying, \"Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Logan", "Jacob", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Samuel is a knight, Logan is a knight, Jacob is a knight, and Sebastian is a knight.", "solution_text_format": "(1) Samuel is a knight\n(2) Logan is a knight\n(3) Jacob is a knight\n(4) Sebastian is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jacob is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 1), ('telling-truth', 2))", "index": 5}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, James, Olivia, and Amelia. Zoey stated, \"Amelia is not a knight\". James said, \"Olivia is a knight or Zoey is a knave.\" Olivia was heard saying, \"Zoey is a knight\". Amelia was heard saying, \"If Zoey is a knave then Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "James", "Olivia", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Zoey is a knave, James is a knight, Olivia is a knave, and Amelia is a knight.", "solution_text_format": "(1) Zoey is a knave\n(2) James is a knight\n(3) Olivia is a knave\n(4) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Amelia is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of Zoey that Amelia is not a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that If Zoey is a knave then Olivia is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Amelia is not a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Zoey is a knave then Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Zoey is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Zoey is a knight.", "Assume James is a knight. No contradiction is found in their claim that Olivia is a knight or Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 0)), ('telling-truth', 0), ('->', ('lying', 0), ('lying', 2)))", "index": 6}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Jacob, Chloe, and Penelope. Aiden remarked, \"Jacob is a knight if and only if Penelope is a knave\". According to Jacob, \"Chloe is a knight if and only if Jacob is a knight\". \"Jacob is not a knight\" - Chloe. Penelope said that Jacob is a knave and Jacob is a knight. So who is a knight and who is a knave?", "names": ["Aiden", "Jacob", "Chloe", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Aiden is a knave, Jacob is a knave, Chloe is a knight, and Penelope is a knave.", "solution_text_format": "(1) Aiden is a knave\n(2) Jacob is a knave\n(3) Chloe is a knight\n(4) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Penelope is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Jacob is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Jacob is not a knight.", "Chloe cannot be a knave, because this would contradict the claim of Jacob that Chloe is a knight if and only if Jacob is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Jacob is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of their own that Jacob is a knave and Jacob is a knight.", "Penelope cannot be a knave, because this would contradict the claim of Aiden that Jacob is a knight if and only if Penelope is a knave.", "We have exhausted all possibilities for Penelope, so let us go back and reconsider Chloe.", "Chloe cannot be a knave, because this would contradict the false claim of Jacob that Chloe is a knight if and only if Jacob is a knight.", "We have exhausted all possibilities for Chloe and Jacob, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Penelope is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Jacob is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Jacob is not a knight.", "Chloe cannot be a knave, because this would contradict the claim of Jacob that Chloe is a knight if and only if Jacob is a knight.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Jacob is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Penelope cannot be a knight, because this would contradict the false claim of Aiden that Jacob is a knight if and only if Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Jacob is a knave and Jacob is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 1)))", "index": 7}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Jackson, Emily, and Mia. In a statement by Penelope: \"Jackson is a knight\". In Jackson's words: \"Mia is a knight\". Emily said, \"Penelope is not a knave.\" Mia said, \"Emily is a knave and Emily is a knight.\" So who is a knight and who is a knave?", "names": ["Penelope", "Jackson", "Emily", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Penelope is a knave, Jackson is a knave, Emily is a knave, and Mia is a knave.", "solution_text_format": "(1) Penelope is a knave\n(2) Jackson is a knave\n(3) Emily is a knave\n(4) Mia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Mia is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Emily is a knave and Emily is a knight.", "Mia cannot be a knave, because this would contradict the claim of Jackson that Mia is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the claim of Penelope that Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Jackson is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Penelope that Jackson is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Mia is a knight.", "Mia cannot be a knight, because this would contradict the false claim of Jackson that Mia is a knight.", "Assume Mia is a knave. No contradiction is found in their false claim that Emily is a knave and Emily is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Penelope is not a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Penelope is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('telling-truth', 3), ('not', ('lying', 0)), ('and', ('lying', 2), ('telling-truth', 2)))", "index": 8}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, Sophia, Jackson, and James. According to Sebastian, \"Jackson is a knave and James is a knight\". Sophia expressed that Sebastian is not a knight. Jackson was heard saying, \"Sebastian is a knight and James is a knight\". James told you that Sebastian is a knight and Sophia is a knight. So who is a knight and who is a knave?", "names": ["Sebastian", "Sophia", "Jackson", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Sebastian is a knave, Sophia is a knight, Jackson is a knave, and James is a knave.", "solution_text_format": "(1) Sebastian is a knave\n(2) Sophia is a knight\n(3) Jackson is a knave\n(4) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Jackson is a knave and James is a knight.", "Jackson cannot be a knight, because this would contradict the claim of Sebastian that Jackson is a knave and James is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Sebastian is a knight and James is a knight.", "James cannot be a knight, because this would contradict the false claim of Jackson that Sebastian is a knight and James is a knight.", "James cannot be a knave, because this would contradict the claim of Sebastian that Jackson is a knave and James is a knight.", "We have exhausted all possibilities for James and Jackson, so let us go back and reconsider Sebastian.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Jackson is a knave and James is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and James is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Sebastian is a knight and James is a knight.", "James cannot be a knight, because this would contradict the false claim of Sebastian that Jackson is a knave and James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Sebastian is a knight and Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Sebastian is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 3)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 9}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Matthew, Elizabeth, Amelia, and Lucas. According to Matthew, \"Matthew is a knight if and only if Amelia is a knave\". Elizabeth expressed that Elizabeth is a knight if and only if Matthew is a knight. Amelia commented, \"Elizabeth is a knight if and only if Matthew is a knight\". Lucas remarked, \"Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Matthew", "Elizabeth", "Amelia", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Matthew is a knight, Elizabeth is a knave, Amelia is a knave, and Lucas is a knave.", "solution_text_format": "(1) Matthew is a knight\n(2) Elizabeth is a knave\n(3) Amelia is a knave\n(4) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Matthew is a knight. No contradiction is found in their claim that Matthew is a knight if and only if Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Matthew that Matthew is a knight if and only if Amelia is a knave.", "Assume Amelia is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Matthew is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Amelia that Elizabeth is a knight if and only if Matthew is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Matthew is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight.", "Assume Lucas 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": "(('<=>', ('telling-truth', 0), ('lying', 2)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('telling-truth', 1))", "index": 10}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Lily, Elizabeth, and Penelope. \"Elizabeth is a knave if and only if Penelope is a knave,\" Riley claimed. Lily expressed that Riley is a knave if and only if Elizabeth is a knave. In Elizabeth's words: \"Riley is not a knight\". In a statement by Penelope: \"Lily is a knave and Elizabeth is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Lily", "Elizabeth", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Riley is a knight, Lily is a knave, Elizabeth is a knave, and Penelope is a knave.", "solution_text_format": "(1) Riley is a knight\n(2) Lily is a knave\n(3) Elizabeth is a knave\n(4) Penelope is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Elizabeth is a knave if and only if Penelope is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Riley is not a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Riley is not a knight.", "Penelope cannot be a knight, because this would contradict the claim of Riley that Elizabeth is a knave if and only if Penelope is a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Lily is a knave and Elizabeth is a knight.", "Lily cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Elizabeth is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 2), ('lying', 3)), ('<=>', ('lying', 0), ('lying', 2)), ('not', ('telling-truth', 0)), ('and', ('lying', 1), ('telling-truth', 2)))", "index": 11}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Riley, Avery, Mia, and Ella. Riley told you that Mia is a knave. Avery said, \"Riley is a knight if and only if Ella is a knight.\" Mia expressed that Riley is a knight if and only if Mia is a knight. Ella stated, \"Riley is a knight or Riley is a knave\". So who is a knight and who is a knave?", "names": ["Riley", "Avery", "Mia", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Riley is a knight, Avery is a knight, Mia is a knave, and Ella is a knight.", "solution_text_format": "(1) Riley is a knight\n(2) Avery is a knight\n(3) Mia is a knave\n(4) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Riley is a knight. No contradiction is found in their claim that Mia is a knave.", "Mia cannot be a knight, because this would contradict the claim of Riley that Mia is a knave.", "Assume Mia is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Mia is a knight.", "Assume Avery is a knight. No contradiction is found in their claim that Riley is a knight if and only if Ella is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that Riley is a knight or Riley is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 12}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, Matthew, Penelope, and Charlotte. \"If Penelope is a knave then Charlotte is a knight\" - Avery. \"Charlotte is a knight,\" Matthew declared. Penelope noted, \"If Charlotte is a knave then Avery is a knave\". Charlotte noted, \"Charlotte is a knight if and only if Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Matthew", "Penelope", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Avery is a knight, Matthew is a knight, Penelope is a knight, and Charlotte is a knight.", "solution_text_format": "(1) Avery is a knight\n(2) Matthew is a knight\n(3) Penelope is a knight\n(4) Charlotte is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Avery is a knight. No contradiction is found in their claim that If Penelope is a knave then Charlotte is a knight.", "Assume Penelope is a knight. No contradiction is found in their claim that If Charlotte is a knave then Avery is a knave.", "Assume Charlotte is a knight. No contradiction is found in their claim that Charlotte is a knight if and only if Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 2), ('telling-truth', 3)), ('telling-truth', 3), ('->', ('lying', 3), ('lying', 0)), ('<=>', ('telling-truth', 3), ('telling-truth', 1)))", "index": 13}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Mason, Sebastian, and Joseph. In a statement by Scarlett: \"Mason is a knight if and only if Scarlett is a knight\". Mason remarked, \"Joseph is not a knave\". \"If Mason is a knave then Sebastian is a knight\" - Sebastian. Joseph said that Scarlett is a knight. So who is a knight and who is a knave?", "names": ["Scarlett", "Mason", "Sebastian", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Scarlett is a knight, Mason is a knight, Sebastian is a knight, and Joseph is a knight.", "solution_text_format": "(1) Scarlett is a knight\n(2) Mason is a knight\n(3) Sebastian is a knight\n(4) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Mason is a knight if and only if Scarlett is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Joseph is not a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Scarlett is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Mason is a knave then Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('lying', 3)), ('->', ('lying', 1), ('telling-truth', 2)), ('telling-truth', 0))", "index": 14}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Lucas, Emma, and Penelope. \"If Penelope is a knight then Emma is a knave,\" Aiden claimed. In a statement by Lucas: \"Aiden is not a knave\". Emma told you that Penelope is a knight if and only if Lucas is a knave. Penelope expressed that If Emma is a knave then Lucas is a knave. So who is a knight and who is a knave?", "names": ["Aiden", "Lucas", "Emma", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Aiden is a knave, Lucas is a knave, Emma is a knight, and Penelope is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Lucas is a knave\n(3) Emma is a knight\n(4) Penelope is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that If Penelope is a knight then Emma is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Emma is a knave then Lucas is a knave.", "Emma cannot be a knight, because this would contradict the claim of Aiden that If Penelope is a knight then Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Penelope that If Emma is a knave then Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Aiden is not a knave.", "We have exhausted all possibilities for Lucas and Emma, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that If Emma is a knave then Lucas is a knave.", "Emma cannot be a knight, because this would contradict the false claim of Penelope that If Emma is a knave then Lucas is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the false claim of Emma that Penelope is a knight if and only if Lucas is a knave.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Aiden is not a knave.", "We have exhausted all possibilities for Lucas, Emma, and Penelope, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Penelope is a knight then Emma is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Emma is a knave then Lucas is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Aiden is not a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Aiden is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 2)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('->', ('lying', 2), ('lying', 1)))", "index": 15}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Jack, Avery, and Zoey. Oliver asserted: \"Avery is not a knight\". As Jack put it, \"Oliver is not a knave\". \"Zoey is not a knight\" - Avery. In Zoey's words: \"Zoey is a knight and Avery is a knight\". So who is a knight and who is a knave?", "names": ["Oliver", "Jack", "Avery", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Oliver is a knave, Jack is a knave, Avery is a knight, and Zoey is a knave.", "solution_text_format": "(1) Oliver is a knave\n(2) Jack is a knave\n(3) Avery is a knight\n(4) Zoey is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that Avery is not a knight.", "Avery cannot be a knight, because this would contradict the claim of Oliver that Avery is not a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that Zoey is not a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Zoey is a knight and Avery is a knight.", "Zoey cannot be a knave, because this would contradict the false claim of Avery that Zoey is not a knight.", "We have exhausted all possibilities for Zoey and Avery, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that Avery is not a knight.", "Assume Avery 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 Avery that Zoey is not a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight and Avery is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Oliver is not a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Oliver is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('not', ('lying', 0)), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 3), ('telling-truth', 2)))", "index": 16}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Oliver, Amelia, and Grace. \"Oliver is not a knave,\" Jack declared. \"Amelia is not a knight,\" Oliver mentioned. As Amelia put it, \"Grace is a knave or Amelia is a knight\". Grace commented, \"Oliver is a knight and Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Oliver", "Amelia", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Jack is a knave, Oliver is a knave, Amelia is a knight, and Grace is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Oliver is a knave\n(3) Amelia is a knight\n(4) Grace is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Oliver is not a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Amelia is not a knight.", "Amelia cannot be a knight, because this would contradict the claim of Oliver that Amelia is not a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that Grace is a knave or Amelia is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Amelia is a knight.", "Grace cannot be a knave, because this would contradict the false claim of Amelia that Grace is a knave or Amelia is a knight.", "We have exhausted all possibilities for Grace and Amelia, so let us go back and reconsider Oliver.", "Oliver cannot be a knave, because this would contradict the claim of Jack that Oliver is not a knave.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Oliver is not a knave.", "Oliver cannot be a knight, because this would contradict the false claim of Jack that Oliver is not a knave.", "Assume Oliver is a knave. No contradiction is found in their false claim that Amelia is not a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Grace is a knave or Amelia is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Amelia is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Oliver is a knight and Amelia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('not', ('telling-truth', 2)), ('or', ('lying', 3), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 2)))", "index": 17}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Aurora, Scarlett, and Henry. Liam stated, \"Aurora is a knave\". According to Aurora, \"Scarlett is a knight if and only if Liam is a knight\". Scarlett asserted: \"Liam is a knight\". \"Liam is not a knave,\" Henry declared. So who is a knight and who is a knave?", "names": ["Liam", "Aurora", "Scarlett", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Liam is a knave, Aurora is a knight, Scarlett is a knave, and Henry is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Aurora is a knight\n(3) Scarlett is a knave\n(4) Henry is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam 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 Liam that Aurora is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Liam is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Aurora that Scarlett is a knight if and only if Liam is a knight.", "Scarlett cannot be a knave, because this would contradict the false claim of their own that Liam is a knight.", "We have exhausted all possibilities for Scarlett and Aurora, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Liam is a knight.", "Scarlett cannot be a knight, because this would contradict the claim of Aurora that Scarlett is a knight if and only if Liam is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Liam is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that Liam is not a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Liam is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('telling-truth', 0), ('not', ('lying', 0)))", "index": 18}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Lucas, Aiden, and Lily. In Charlotte's words: \"Aiden is not a knave\". \"Lily is a knave if and only if Charlotte is a knave\" - Lucas. In a statement by Aiden: \"Aiden is a knight if and only if Charlotte is a knight\". According to Lily, \"Lily is a knight and Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Lucas", "Aiden", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Charlotte is a knight, Lucas is a knave, Aiden is a knight, and Lily is a knave.", "solution_text_format": "(1) Charlotte is a knight\n(2) Lucas is a knave\n(3) Aiden is a knight\n(4) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Aiden is not a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Charlotte is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Lily is a knave if and only if Charlotte is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Lily is a knight and Charlotte is a knave.", "Lily cannot be a knave, because this would contradict the claim of Lucas that Lily is a knave if and only if Charlotte is a knave.", "We have exhausted all possibilities for Lily, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that Lily is a knave if and only if Charlotte is a knave.", "Lily cannot be a knight, because this would contradict the false claim of Lucas that Lily is a knave if and only if Charlotte is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Lily is a knight and Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('<=>', ('lying', 3), ('lying', 0)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 3), ('lying', 0)))", "index": 19}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jacob, Benjamin, Matthew, and Emily. Jacob remarked, \"If Matthew is a knight then Matthew is a knave\". Benjamin expressed that Matthew is a knave and Jacob is a knave. In Matthew's words: \"If Benjamin is a knight then Matthew is a knight\". Emily told you that Matthew is a knave and Benjamin is a knave. So who is a knight and who is a knave?", "names": ["Jacob", "Benjamin", "Matthew", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Jacob is a knave, Benjamin is a knave, Matthew is a knight, and Emily is a knave.", "solution_text_format": "(1) Jacob is a knave\n(2) Benjamin is a knave\n(3) Matthew is a knight\n(4) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jacob is a knight. No contradiction is found in their claim that If Matthew is a knight then Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Jacob that If Matthew is a knight then Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that If Benjamin is a knight then Matthew is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Matthew is a knave and Jacob is a knave.", "Benjamin cannot be a knave, because this would contradict the false claim of Matthew that If Benjamin is a knight then Matthew is a knight.", "We have exhausted all possibilities for Benjamin and Matthew, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that If Matthew is a knight then Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that If Benjamin is a knight then Matthew is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Matthew is a knave and Jacob is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Matthew is a knave and Jacob is a knave.", "Emily cannot be a knight, because this would contradict the claim of their own that Matthew is a knave and Benjamin is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Matthew is a knave and Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('and', ('lying', 2), ('lying', 0)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('lying', 2), ('lying', 1)))", "index": 20}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Olivia, Sofia, and Scarlett. Elizabeth told you that Sofia is a knight if and only if Sofia is a knave. Olivia asserted: \"Sofia is a knight\". Sofia asserted: \"Olivia is a knave and Scarlett is a knight\". As Scarlett put it, \"Olivia is a knight\". So who is a knight and who is a knave?", "names": ["Elizabeth", "Olivia", "Sofia", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Elizabeth is a knave, Olivia is a knave, Sofia is a knave, and Scarlett is a knave.", "solution_text_format": "(1) Elizabeth is a knave\n(2) Olivia is a knave\n(3) Sofia is a knave\n(4) Scarlett is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Elizabeth cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Sofia is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Sofia is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Olivia is a knave and Scarlett is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Sofia that Olivia is a knave and Scarlett is a knight.", "Olivia cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Olivia is a knave and Scarlett is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Sofia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Sofia is a knight.", "Scarlett cannot be a knight, because this would contradict the false claim of Sofia that Olivia is a knave and Scarlett is a knight.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Olivia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 2), ('and', ('lying', 1), ('telling-truth', 3)), ('telling-truth', 1))", "index": 21}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Oliver, Emily, and Lucas. Sophia said, \"Emily is a knight and Sophia is a knight.\" \"Emily is a knight and Sophia is a knight\" - Oliver. As Emily put it, \"If Oliver is a knight then Sophia is a knave\". Lucas said, \"Sophia is not a knight.\" So who is a knight and who is a knave?", "names": ["Sophia", "Oliver", "Emily", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Sophia is a knave, Oliver is a knave, Emily is a knight, and Lucas is a knight.", "solution_text_format": "(1) Sophia is a knave\n(2) Oliver is a knave\n(3) Emily is a knight\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Emily is a knight and Sophia is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Oliver is a knight then Sophia is a knave.", "Oliver cannot be a knight, because this would contradict the claim of Emily that If Oliver is a knight then Sophia is a knave.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Emily is a knight and Sophia is a knight.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Emily.", "Emily cannot be a knave, because this would contradict the claim of Sophia that Emily is a knight and Sophia is a knight.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Emily is a knight and Sophia is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Oliver is a knight then Sophia is a knave.", "Oliver cannot be a knight, because this would contradict the claim of their own that Emily is a knight and Sophia is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Emily is a knight and Sophia is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Sophia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 0)), ('not', ('telling-truth', 0)))", "index": 22}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Emily, Ethan, and William. As Liam put it, \"William is a knight\". Emily asserted: \"Emily is a knight or Ethan is a knight\". Ethan noted, \"William is a knight if and only if Liam is a knight\". William commented, \"Ethan is a knight or Emily is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Emily", "Ethan", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Liam is a knight, Emily is a knight, Ethan is a knight, and William is a knight.", "solution_text_format": "(1) Liam is a knight\n(2) Emily is a knight\n(3) Ethan is a knight\n(4) William is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that William is a knight.", "Assume William is a knight. No contradiction is found in their claim that Ethan is a knight or Emily is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that William is a knight if and only if Liam is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight or Ethan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('telling-truth', 2), ('lying', 1)))", "index": 23}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Charlotte, Aiden, and Emma. As Lucas put it, \"Charlotte is a knight or Aiden is a knight\". Charlotte commented, \"If Aiden is a knight then Charlotte is a knight\". \"If Emma is a knave then Charlotte is a knight,\" Aiden mentioned. Emma told you that If Charlotte is a knave then Lucas is a knave. So who is a knight and who is a knave?", "names": ["Lucas", "Charlotte", "Aiden", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Lucas is a knight, Charlotte is a knight, Aiden is a knight, and Emma is a knight.", "solution_text_format": "(1) Lucas is a knight\n(2) Charlotte is a knight\n(3) Aiden is a knight\n(4) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that Charlotte is a knight or Aiden is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that If Aiden is a knight then Charlotte is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Emma is a knave then Charlotte is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Charlotte is a knave then Lucas is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 3), ('telling-truth', 1)), ('->', ('lying', 1), ('lying', 0)))", "index": 24}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Scarlett, Riley, and Emma. Ella was heard saying, \"Riley is not a knight\". According to Scarlett, \"Emma is a knight and Riley is a knave\". Riley said that Ella is a knave if and only if Scarlett is a knight. Emma was heard saying, \"Ella is a knave if and only if Scarlett is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Scarlett", "Riley", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Ella is a knight, Scarlett is a knight, Riley is a knave, and Emma is a knight.", "solution_text_format": "(1) Ella is a knight\n(2) Scarlett is a knight\n(3) Riley is a knave\n(4) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Riley is not a knight.", "Riley cannot be a knight, because this would contradict the claim of Ella that Riley is not a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Ella is a knave if and only if Scarlett is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Emma is a knight and Riley is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Ella is a knave if and only if Scarlett is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 2)), ('and', ('telling-truth', 3), ('lying', 2)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('<=>', ('lying', 0), ('lying', 1)))", "index": 25}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Samuel, Emily, and Jackson. \"If Samuel is a knave then Emily is a knave\" - Liam. In a statement by Samuel: \"Jackson is a knave\". As Emily put it, \"Samuel is a knight or Emily is a knight\". Jackson expressed that If Emily is a knave then Liam is a knave. So who is a knight and who is a knave?", "names": ["Liam", "Samuel", "Emily", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Liam is a knave, Samuel is a knave, Emily is a knight, and Jackson is a knight.", "solution_text_format": "(1) Liam is a knave\n(2) Samuel is a knave\n(3) Emily is a knight\n(4) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that If Samuel is a knave then Emily is a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Samuel that Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that If Emily is a knave then Liam is a knave.", "Emily cannot be a knight, because this would contradict the false claim of Jackson that If Emily is a knave then Liam is a knave.", "Emily cannot be a knave, because this would contradict the false claim of their own that Samuel is a knight or Emily is a knight.", "We have exhausted all possibilities for Emily and Jackson, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Emily is a knave then Liam is a knave.", "Emily cannot be a knight, because this would contradict the claim of Liam that If Samuel is a knave then Emily is a knave.", "Emily cannot be a knave, because this would contradict the claim of Jackson that If Emily is a knave then Liam is a knave.", "We have exhausted all possibilities for Emily, so let us go back and reconsider Jackson.", "Jackson cannot be a knave, because this would contradict the false claim of Samuel that Jackson is a knave.", "We have exhausted all possibilities for Jackson and Samuel, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that If Samuel is a knave then Emily is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Liam that If Samuel is a knave then Emily is a knave.", "Assume Samuel is a knave. No contradiction is found in their false claim that Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that If Emily is a knave then Liam is a knave.", "Assume Emily is a knight. No contradiction is found in their claim that Samuel is a knight or Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 2)), ('lying', 3), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('->', ('lying', 2), ('lying', 0)))", "index": 26}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Lucas, Oliver, and Harper. According to Victoria, \"Lucas is a knave and Harper is a knight\". Lucas said that If Oliver is a knave then Harper is a knight. Oliver said that Lucas is a knave or Victoria is a knight. Harper told you that Harper is a knight if and only if Oliver is a knave. So who is a knight and who is a knave?", "names": ["Victoria", "Lucas", "Oliver", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Victoria is a knave, Lucas is a knight, Oliver is a knave, and Harper is a knight.", "solution_text_format": "(1) Victoria is a knave\n(2) Lucas is a knight\n(3) Oliver is a knave\n(4) Harper is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Victoria is a knight. No contradiction is found in their claim that Lucas is a knave and Harper is a knight.", "Lucas cannot be a knight, because this would contradict the claim of Victoria that Lucas is a knave and Harper is a knight.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Oliver is a knave then Harper is a knight.", "Oliver cannot be a knight, because this would contradict the false claim of Lucas that If Oliver is a knave then Harper is a knight.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Lucas is a knave or Victoria is a knight.", "We have exhausted all possibilities for Oliver and Lucas, so let us go back and reconsider Victoria.", "Assume Victoria is a knave. No contradiction is found in their false claim that Lucas is a knave and Harper is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Oliver is a knave then Harper is a knight.", "Oliver cannot be a knight, because this would contradict the claim of their own that Lucas is a knave or Victoria is a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Lucas is a knave or Victoria is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Harper is a knight if and only if Oliver is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 3)), ('->', ('lying', 2), ('telling-truth', 3)), ('or', ('lying', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 3), ('lying', 2)))", "index": 27}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, David, Victoria, and Mason. Daniel noted, \"Mason is a knave and David is a knave\". In a statement by David: \"Victoria is a knight and Victoria is a knave\". As Victoria put it, \"Daniel is a knight\". In Mason's words: \"Daniel is a knight and Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "David", "Victoria", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Daniel is a knight, David is a knave, Victoria is a knight, and Mason is a knave.", "solution_text_format": "(1) Daniel is a knight\n(2) David is a knave\n(3) Victoria is a knight\n(4) Mason is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Daniel is a knight. No contradiction is found in their claim that Mason is a knave and David is a knave.", "Mason cannot be a knight, because this would contradict the claim of Daniel that Mason is a knave and David is a knave.", "Assume Mason is a knave. No contradiction is found in their false claim that Daniel is a knight and Daniel is a knave.", "David cannot be a knight, because this would contradict the claim of Daniel that Mason is a knave and David is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Victoria is a knight and Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Daniel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('lying', 1)), ('and', ('telling-truth', 2), ('lying', 2)), ('telling-truth', 0), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 28}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Riley, Henry, and Elizabeth. \"Riley is a knave or Elizabeth is a knave,\" Logan claimed. Riley commented, \"Logan is a knave if and only if Henry is a knight\". \"If Henry is a knight then Logan is a knight,\" Henry declared. Elizabeth remarked, \"Henry is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Riley", "Henry", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Logan is a knight, Riley is a knave, Henry is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Riley is a knave\n(3) Henry is a knight\n(4) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Riley is a knave or Elizabeth is a knave.", "Assume Riley is a knight. No contradiction is found in their claim that Logan is a knave if and only if Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of Riley that Logan is a knave if and only if Henry is a knight.", "Henry cannot be a knave, because this would contradict the false claim of their own that If Henry is a knight then Logan is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Logan is a knave if and only if Henry is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Henry is a knight then Logan is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Henry is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('lying', 2))", "index": 29}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Aurora, Oliver, and Isabella. In a statement by Luke: \"If Isabella is a knave then Luke is a knight\". Aurora asserted: \"Isabella is a knight and Isabella is a knave\". \"If Aurora is a knight then Isabella is a knave,\" Oliver declared. According to Isabella, \"Luke is not a knight\". So who is a knight and who is a knave?", "names": ["Luke", "Aurora", "Oliver", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Luke is a knight, Aurora is a knave, Oliver is a knight, and Isabella is a knave.", "solution_text_format": "(1) Luke is a knight\n(2) Aurora is a knave\n(3) Oliver is a knight\n(4) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that If Isabella is a knave then Luke is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Luke is not a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Isabella is a knight and Isabella is a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Isabella is a knight and Isabella is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that If Aurora is a knight then Isabella is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 0)), ('and', ('telling-truth', 3), ('lying', 3)), ('->', ('telling-truth', 1), ('lying', 3)), ('not', ('telling-truth', 0)))", "index": 30}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Abigail, Olivia, Emily, and Henry. \"Emily is a knight,\" Abigail mentioned. Olivia remarked, \"Abigail is a knave and Emily is a knight\". Emily asserted: \"Olivia is a knight or Olivia is a knave\". Henry asserted: \"If Abigail is a knight then Emily is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Olivia", "Emily", "Henry"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Abigail is a knight, Olivia is a knave, Emily is a knight, and Henry is a knight.", "solution_text_format": "(1) Abigail is a knight\n(2) Olivia is a knave\n(3) Emily is a knight\n(4) Henry is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Abigail is a knight. No contradiction is found in their claim that Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that Olivia is a knight or Olivia is a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Abigail is a knave and Emily is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Abigail is a knave and Emily is a knight.", "Assume Henry is a knight. No contradiction is found in their claim that If Abigail is a knight then Emily is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('and', ('lying', 0), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "index": 31}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Chloe, Sebastian, and Amelia. Aiden stated, \"Chloe is not a knight\". Chloe asserted: \"Sebastian is a knight or Sebastian is a knave\". Sebastian was heard saying, \"Amelia is a knave if and only if Amelia is a knight\". Amelia asserted: \"Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Chloe", "Sebastian", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Aiden is a knave, Chloe is a knight, Sebastian is a knave, and Amelia is a knight.", "solution_text_format": "(1) Aiden is a knave\n(2) Chloe is a knight\n(3) Sebastian is a knave\n(4) Amelia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Chloe is not a knight.", "Chloe cannot be a knight, because this would contradict the claim of Aiden that Chloe is not a knight.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knight or Sebastian is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Chloe is not a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Sebastian is a knight or Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of their own that Amelia is a knave if and only if Amelia is a knight.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Amelia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Aiden is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('telling-truth', 2), ('lying', 2)), ('<=>', ('lying', 3), ('telling-truth', 3)), ('lying', 0))", "index": 32}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Olivia, Samuel, and Jackson. Alexander asserted: \"Jackson is a knight or Samuel is a knight\". \"Jackson is a knight if and only if Samuel is a knave,\" Olivia mentioned. \"Olivia is a knight and Samuel is a knight\" - Samuel. Jackson told you that Olivia is a knight and Samuel is a knight. So who is a knight and who is a knave?", "names": ["Alexander", "Olivia", "Samuel", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, false], "solution_text": "Alexander is a knave, Olivia is a knave, Samuel is a knave, and Jackson is a knave.", "solution_text_format": "(1) Alexander is a knave\n(2) Olivia is a knave\n(3) Samuel is a knave\n(4) Jackson is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Jackson is a knight or Samuel is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Olivia is a knight and Samuel is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the claim of Olivia that Jackson is a knight if and only if Samuel is a knave.", "Samuel cannot be a knave, because this would contradict the claim of Jackson that Olivia is a knight and Samuel is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Olivia.", "Olivia cannot be a knave, because this would contradict the claim of Jackson that Olivia is a knight and Samuel is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Olivia is a knight and Samuel is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Jackson that Olivia is a knight and Samuel is a knight.", "Samuel cannot be a knave, because this would contradict the claim of Alexander that Jackson is a knight or Samuel is a knight.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Olivia that Jackson is a knight if and only if Samuel is a knave.", "Samuel cannot be a knave, because this would contradict the claim of Alexander that Jackson is a knight or Samuel is a knight.", "We have exhausted all possibilities for Samuel, Olivia, and Jackson, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that Jackson is a knight or Samuel is a knight.", "Jackson cannot be a knight, because this would contradict the false claim of Alexander that Jackson is a knight or Samuel is a knight.", "Assume Jackson is a knave. No contradiction is found in their false claim that Olivia is a knight and Samuel is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Alexander that Jackson is a knight or Samuel is a knight.", "Samuel cannot be a knave, because this would contradict the claim of Olivia that Jackson is a knight if and only if Samuel is a knave.", "We have exhausted all possibilities for Samuel, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Samuel is a knave.", "Samuel cannot be a knight, because this would contradict the false claim of Alexander that Jackson is a knight or Samuel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Olivia is a knight and Samuel is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('telling-truth', 2)), ('<=>', ('telling-truth', 3), ('lying', 2)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 2)))", "index": 33}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Jack, Amelia, and Samuel. According to Luke, \"Jack is not a knave\". Jack said that Samuel is not a knave. Amelia stated, \"Jack is a knight\". Samuel said, \"Amelia is a knave or Jack is a knight.\" So who is a knight and who is a knave?", "names": ["Luke", "Jack", "Amelia", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Luke is a knight, Jack is a knight, Amelia is a knight, and Samuel is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) Jack is a knight\n(3) Amelia is a knight\n(4) Samuel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Jack is not a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Samuel is not a knave.", "Assume Samuel is a knight. No contradiction is found in their claim that Amelia is a knave or Jack is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('not', ('lying', 3)), ('telling-truth', 1), ('or', ('lying', 2), ('telling-truth', 1)))", "index": 34}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Emily, Charlotte, and Aurora. Alexander remarked, \"Emily is a knave if and only if Emily is a knight\". In Emily's words: \"Alexander is a knight\". In Charlotte's words: \"Alexander is not a knight\". Aurora noted, \"Emily is a knave and Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Emily", "Charlotte", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Alexander is a knave, Emily is a knave, Charlotte is a knight, and Aurora is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Emily is a knave\n(3) Charlotte is a knight\n(4) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Alexander cannot be a knight, because this would contradict the claim of their own that Emily is a knave if and only if Emily is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Emily is a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Alexander is a knight.", "Assume Emily is a knave. No contradiction is found in their false claim that Alexander is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Alexander is not a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Emily is a knave and Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('telling-truth', 0), ('not', ('telling-truth', 0)), ('and', ('lying', 1), ('lying', 0)))", "index": 35}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, William, Aria, and Aurora. \"Aria is a knight if and only if Aurora is a knight,\" Noah claimed. In William's words: \"If William is a knight then Aurora is a knave\". \"Aria is a knight or Aurora is a knave,\" Aria declared. Aurora was heard saying, \"Noah is a knave if and only if William is a knave\". So who is a knight and who is a knave?", "names": ["Noah", "William", "Aria", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Noah is a knave, William is a knight, Aria is a knight, and Aurora is a knave.", "solution_text_format": "(1) Noah is a knave\n(2) William is a knight\n(3) Aria is a knight\n(4) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Aria is a knight if and only if Aurora is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Aria is a knight or Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Noah is a knave if and only if William is a knave.", "William cannot be a knight, because this would contradict the claim of their own that If William is a knight then Aurora is a knave.", "William cannot be a knave, because this would contradict the false claim of their own that If William is a knight then Aurora is a knave.", "We have exhausted all possibilities for William, so let us go back and reconsider Aurora.", "Aurora cannot be a knave, because this would contradict the claim of Noah that Aria is a knight if and only if Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Aria.", "Assume Aria is a knave. No contradiction is found in their false claim that Aria is a knight or Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Noah that Aria is a knight if and only if Aurora is a knight.", "Aurora cannot be a knave, because this would contradict the false claim of Aria that Aria is a knight or Aurora is a knave.", "We have exhausted all possibilities for Aurora and Aria, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Aurora is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Aria is a knight or Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Noah that Aria is a knight if and only if Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Noah is a knave if and only if William is a knave.", "Assume William is a knight. No contradiction is found in their claim that If William is a knight then Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('lying', 3)), ('or', ('telling-truth', 2), ('lying', 3)), ('<=>', ('lying', 0), ('lying', 1)))", "index": 36}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Avery, Henry, and Owen. Lily told you that Lily is a knight and Henry is a knave. In a statement by Avery: \"Lily is a knave or Henry is a knight\". Henry expressed that Avery is a knave. Owen asserted: \"If Henry is a knight then Henry is a knave\". So who is a knight and who is a knave?", "names": ["Lily", "Avery", "Henry", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Lily is a knave, Avery is a knight, Henry is a knave, and Owen is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Avery is a knight\n(3) Henry is a knave\n(4) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lily is a knight. No contradiction is found in their claim that Lily is a knight and Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Lily that Lily is a knight and Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Lily is a knave or Henry is a knight.", "Avery cannot be a knave, because this would contradict the false claim of Henry that Avery is a knave.", "We have exhausted all possibilities for Avery and Henry, so let us go back and reconsider Lily.", "Assume Lily is a knave. No contradiction is found in their false claim that Lily is a knight and Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Avery is a knave.", "Avery cannot be a knight, because this would contradict the claim of Henry that Avery is a knave.", "Avery cannot be a knave, because this would contradict the false claim of their own that Lily is a knave or Henry is a knight.", "We have exhausted all possibilities for Avery, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Avery is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Lily is a knave or Henry is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Henry is a knight then Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 2)), ('lying', 1), ('->', ('telling-truth', 2), ('lying', 2)))", "index": 37}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Chloe, Harper, and Elizabeth. Oliver stated, \"If Elizabeth is a knight then Elizabeth is a knave\". \"Harper is a knight if and only if Elizabeth is a knight,\" Chloe claimed. Harper said, \"Elizabeth is a knight or Chloe is a knight.\" Elizabeth said, \"Oliver is a knave.\" So who is a knight and who is a knave?", "names": ["Oliver", "Chloe", "Harper", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Oliver is a knave, Chloe is a knight, Harper is a knight, and Elizabeth is a knight.", "solution_text_format": "(1) Oliver is a knave\n(2) Chloe is a knight\n(3) Harper is a knight\n(4) Elizabeth is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Oliver is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Elizabeth is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of Oliver that If Elizabeth is a knight then Elizabeth is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Oliver is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Harper is a knight if and only if Elizabeth is a knight.", "Harper cannot be a knight, because this would contradict the claim of Chloe that Harper is a knight if and only if Elizabeth is a knight.", "Harper cannot be a knave, because this would contradict the false claim of their own that Elizabeth is a knight or Chloe is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Elizabeth is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight or Chloe is a knight.", "Harper cannot be a knave, because this would contradict the false claim of Chloe that Harper is a knight if and only if Elizabeth is a knight.", "We have exhausted all possibilities for Harper, Chloe, and Elizabeth, so let us go back and reconsider Oliver.", "Assume Oliver is a knave. No contradiction is found in their false claim that If Elizabeth is a knight then Elizabeth is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Oliver is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Harper is a knight if and only if Elizabeth is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Elizabeth is a knight or Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('lying', 0))", "index": 38}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Mason, Chloe, and Aria. Jack said that Aria is a knave. Mason said that Aria is a knight or Mason is a knight. \"Mason is a knave or Mason is a knight,\" Chloe mentioned. Aria stated, \"If Chloe is a knave then Jack is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Mason", "Chloe", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Jack is a knave, Mason is a knight, Chloe is a knight, and Aria is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Mason is a knight\n(3) Chloe is a knight\n(4) Aria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Jack that Aria is a knave.", "Aria cannot be a knave, because this would contradict the false claim of their own that If Chloe is a knave then Jack is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Aria is a knave.", "Assume Aria is a knight. No contradiction is found in their claim that If Chloe is a knave then Jack is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that Mason is a knave or Mason is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Aria is a knight or Mason is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('or', ('lying', 1), ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 0)))", "index": 39}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Jacob, Michael, and Mia. According to Ethan, \"Michael is a knight and Mia is a knave\". Jacob said, \"If Mia is a knight then Michael is a knight.\" According to Michael, \"Ethan is not a knight\". Mia was heard saying, \"Ethan is not a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Jacob", "Michael", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Ethan is a knave, Jacob is a knight, Michael is a knight, and Mia is a knight.", "solution_text_format": "(1) Ethan is a knave\n(2) Jacob is a knight\n(3) Michael is a knight\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that Michael is a knight and Mia is a knave.", "Michael cannot be a knight, because this would contradict the claim of their own that Ethan is not a knight.", "Michael cannot be a knave, because this would contradict the claim of Ethan that Michael is a knight and Mia is a knave.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Ethan.", "Assume Ethan is a knave. No contradiction is found in their false claim that Michael is a knight and Mia is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that Ethan is not a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Ethan is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that If Mia is a knight then Michael is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 2), ('lying', 3)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "index": 40}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Ava, Henry, and Ella. \"Ava is a knave if and only if Ava is a knight,\" Lily claimed. Ava asserted: \"Lily is a knight if and only if Henry is a knave\". In a statement by Henry: \"Henry is a knight or Ella is a knave\". Ella told you that Lily is a knave if and only if Ava is a knight. So who is a knight and who is a knave?", "names": ["Lily", "Ava", "Henry", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Lily is a knave, Ava is a knight, Henry is a knight, and Ella is a knight.", "solution_text_format": "(1) Lily is a knave\n(2) Ava is a knight\n(3) Henry is a knight\n(4) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Lily cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Ava is a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Lily is a knight if and only if Henry is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Henry is a knight or Ella is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Lily is a knave if and only if Ava is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('or', ('telling-truth', 2), ('lying', 3)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 41}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Elizabeth, Mason, Ava, and Abigail. Elizabeth remarked, \"Ava is a knight\". \"Elizabeth is a knight,\" Mason mentioned. In Ava's words: \"Mason is a knave or Ava is a knight\". Abigail told you that If Ava is a knave then Abigail is a knight. So who is a knight and who is a knave?", "names": ["Elizabeth", "Mason", "Ava", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Elizabeth is a knight, Mason is a knight, Ava is a knight, and Abigail is a knight.", "solution_text_format": "(1) Elizabeth is a knight\n(2) Mason is a knight\n(3) Ava is a knight\n(4) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Elizabeth is a knight. No contradiction is found in their claim that Ava is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Mason is a knave or Ava is a knight.", "Assume Mason is a knight. No contradiction is found in their claim that Elizabeth is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that If Ava is a knave then Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 2), ('telling-truth', 0), ('or', ('lying', 1), ('telling-truth', 2)), ('->', ('lying', 2), ('telling-truth', 3)))", "index": 42}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Samuel, James, Alexander, and Aiden. \"Aiden is a knight if and only if Alexander is a knight,\" Samuel claimed. \"If Alexander is a knight then Alexander is a knave\" - James. Alexander commented, \"Aiden is not a knight\". Aiden stated, \"If Samuel is a knight then Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "James", "Alexander", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Samuel is a knave, James is a knight, Alexander is a knave, and Aiden is a knight.", "solution_text_format": "(1) Samuel is a knave\n(2) James is a knight\n(3) Alexander is a knave\n(4) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Samuel is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Alexander is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Samuel is a knight then Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of their own that Aiden is not a knight.", "Alexander cannot be a knave, because this would contradict the claim of Samuel that Aiden is a knight if and only if Alexander is a knight.", "We have exhausted all possibilities for Alexander, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that If Samuel is a knight then Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the claim of Samuel that Aiden is a knight if and only if Alexander is a knight.", "Alexander cannot be a knave, because this would contradict the false claim of their own that Aiden is not a knight.", "We have exhausted all possibilities for Alexander and Aiden, so let us go back and reconsider Samuel.", "Assume Samuel is a knave. No contradiction is found in their false claim that Aiden is a knight if and only if Alexander is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that If Samuel is a knight then Alexander is a knight.", "Alexander cannot be a knight, because this would contradict the false claim of Samuel that Aiden is a knight if and only if Alexander is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Aiden is not a knight.", "Assume James is a knight. No contradiction is found in their claim that If Alexander is a knight then Alexander is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('lying', 2)), ('not', ('telling-truth', 3)), ('->', ('telling-truth', 0), ('telling-truth', 2)))", "index": 43}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Jacob, Scarlett, and Emma. \"Emma is a knight and Scarlett is a knave,\" Logan claimed. According to Jacob, \"Logan is a knight\". Scarlett told you that Emma is a knave or Logan is a knave. \"If Scarlett is a knave then Logan is a knave\" - Emma. So who is a knight and who is a knave?", "names": ["Logan", "Jacob", "Scarlett", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Logan is a knave, Jacob is a knave, Scarlett is a knight, and Emma is a knight.", "solution_text_format": "(1) Logan is a knave\n(2) Jacob is a knave\n(3) Scarlett is a knight\n(4) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Emma is a knight and Scarlett is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Scarlett is a knave then Logan is a knave.", "Scarlett cannot be a knight, because this would contradict the claim of Logan that Emma is a knight and Scarlett is a knave.", "Scarlett cannot be a knave, because this would contradict the claim of Emma that If Scarlett is a knave then Logan is a knave.", "We have exhausted all possibilities for Scarlett, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the claim of Logan that Emma is a knight and Scarlett is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Emma is a knight and Scarlett is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that If Scarlett is a knave then Logan is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that Emma is a knave or Logan is a knave.", "Jacob cannot be a knight, because this would contradict the claim of their own that Logan is a knight.", "Assume Jacob is a knave. No contradiction is found in their false claim that Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('lying', 2)), ('telling-truth', 0), ('or', ('lying', 3), ('lying', 0)), ('->', ('lying', 2), ('lying', 0)))", "index": 44}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Ethan, Sebastian, and Lily. Aiden stated, \"Lily is a knave\". Ethan told you that If Aiden is a knight then Sebastian is a knave. \"Aiden is a knight and Sebastian is a knight,\" Sebastian claimed. In a statement by Lily: \"Ethan is a knave or Sebastian is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Ethan", "Sebastian", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Aiden is a knight, Ethan is a knight, Sebastian is a knave, and Lily is a knave.", "solution_text_format": "(1) Aiden is a knight\n(2) Ethan is a knight\n(3) Sebastian is a knave\n(4) Lily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Aiden that Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Ethan is a knave or Sebastian is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that If Aiden is a knight then Sebastian is a knave.", "Sebastian cannot be a knight, because this would contradict the claim of Ethan that If Aiden is a knight then Sebastian is a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that Aiden is a knight and Sebastian is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('->', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('lying', 1), ('telling-truth', 2)))", "index": 45}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Aurora, Matthew, and Owen. As Jack put it, \"If Matthew is a knight then Matthew is a knave\". \"Aurora is a knight or Owen is a knave,\" Aurora mentioned. In Matthew's words: \"Aurora is a knight\". Owen asserted: \"Jack is not a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Aurora", "Matthew", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Jack is a knave, Aurora is a knight, Matthew is a knight, and Owen is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Aurora is a knight\n(3) Matthew is a knight\n(4) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that If Matthew is a knight then Matthew is a knave.", "Matthew cannot be a knight, because this would contradict the claim of Jack that If Matthew is a knight then Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Matthew that Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aurora is a knight or Owen is a knave.", "Owen cannot be a knight, because this would contradict the claim of their own that Jack is not a knight.", "Owen cannot be a knave, because this would contradict the false claim of Aurora that Aurora is a knight or Owen is a knave.", "We have exhausted all possibilities for Owen, Aurora, and Matthew, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that If Matthew is a knight then Matthew is a knave.", "Assume Matthew is a knight. No contradiction is found in their claim that Aurora is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that Aurora is a knight or Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Jack is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 1), ('lying', 3)), ('telling-truth', 1), ('not', ('telling-truth', 0)))", "index": 46}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aurora, Noah, Aiden, and Riley. \"Noah is a knave or Riley is a knave,\" Aurora declared. \"Noah is a knight if and only if Riley is a knight,\" Noah declared. Aiden expressed that Aurora is a knave if and only if Aurora is a knight. Riley asserted: \"Noah is a knight or Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Noah", "Aiden", "Riley"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Aurora is a knave, Noah is a knight, Aiden is a knave, and Riley is a knight.", "solution_text_format": "(1) Aurora is a knave\n(2) Noah is a knight\n(3) Aiden is a knave\n(4) Riley is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Noah is a knave or Riley is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Noah is a knight if and only if Riley is a knight.", "Riley cannot be a knight, because this would contradict the claim of Aurora that Noah is a knave or Riley is a knave.", "Riley cannot be a knave, because this would contradict the claim of Noah that Noah is a knight if and only if Riley is a knight.", "We have exhausted all possibilities for Riley, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Noah is a knight if and only if Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Noah is a knight or Aiden is a knight.", "Aiden 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.", "Aiden cannot be a knave, because this would contradict the claim of Riley that Noah is a knight or Aiden is a knight.", "We have exhausted all possibilities for Aiden, so let us go back and reconsider Riley.", "Riley cannot be a knave, because this would contradict the false claim of Noah that Noah is a knight if and only if Riley is a knight.", "We have exhausted all possibilities for Riley and Noah, so let us go back and reconsider Aurora.", "Assume Aurora is a knave. No contradiction is found in their false claim that Noah is a knave or Riley is a knave.", "Assume Noah is a knight. No contradiction is found in their claim that Noah is a knight if and only if Riley is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Noah is a knight or Aiden is a knight.", "Aiden 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 Aiden is a knave. No contradiction is found in their false claim that Aurora is a knave if and only if Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('lying', 0), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('telling-truth', 2)))", "index": 47}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Penelope, Evelyn, Alexander, and Chloe. \"Chloe is a knave,\" Penelope mentioned. Evelyn noted, \"Alexander is a knight and Alexander is a knave\". \"If Penelope is a knave then Evelyn is a knave,\" Alexander claimed. Chloe remarked, \"Penelope is a knight or Evelyn is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Evelyn", "Alexander", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Penelope is a knave, Evelyn is a knave, Alexander is a knight, and Chloe is a knight.", "solution_text_format": "(1) Penelope is a knave\n(2) Evelyn is a knave\n(3) Alexander is a knight\n(4) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Penelope is a knight. No contradiction is found in their claim that Chloe is a knave.", "Chloe cannot be a knight, because this would contradict the claim of Penelope that Chloe is a knave.", "Chloe cannot be a knave, because this would contradict the false claim of their own that Penelope is a knight or Evelyn is a knave.", "We have exhausted all possibilities for Chloe, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that Chloe is a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Penelope is a knight or Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Alexander is a knight and Alexander is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Alexander is a knight and Alexander is a knave.", "Assume Alexander is a knight. No contradiction is found in their claim that If Penelope is a knave then Evelyn is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('and', ('telling-truth', 2), ('lying', 2)), ('->', ('lying', 0), ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 1)))", "index": 48}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Lucas, Owen, and Matthew. Logan told you that Owen is a knave and Lucas is a knight. According to Lucas, \"If Matthew is a knave then Owen is a knave\". As Owen put it, \"Lucas is a knight or Owen is a knight\". Matthew asserted: \"Owen is a knave\". So who is a knight and who is a knave?", "names": ["Logan", "Lucas", "Owen", "Matthew"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Logan is a knave, Lucas is a knave, Owen is a knight, and Matthew is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Lucas is a knave\n(3) Owen is a knight\n(4) Matthew is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Owen is a knave and Lucas is a knight.", "Owen cannot be a knight, because this would contradict the claim of Logan that Owen is a knave and Lucas is a knight.", "Assume Owen is a knave. No contradiction is found in their false claim that Lucas is a knight or Owen is a knight.", "Lucas cannot be a knight, because this would contradict the false claim of Owen that Lucas is a knight or Owen is a knight.", "Lucas cannot be a knave, because this would contradict the claim of Logan that Owen is a knave and Lucas is a knight.", "We have exhausted all possibilities for Lucas and Owen, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Owen is a knave and Lucas is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Lucas is a knight or Owen is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that If Matthew is a knave then Owen is a knave.", "Matthew cannot be a knight, because this would contradict the claim of their own that Owen is a knave.", "Matthew cannot be a knave, because this would contradict the claim of Lucas that If Matthew is a knave then Owen is a knave.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Matthew is a knave then Owen is a knave.", "Matthew cannot be a knight, because this would contradict the false claim of Lucas that If Matthew is a knave then Owen is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Owen is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 1)), ('->', ('lying', 3), ('lying', 2)), ('or', ('telling-truth', 1), ('telling-truth', 2)), ('lying', 2))", "index": 49}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, James, Mia, and Sophia. Benjamin told you that Sophia is a knight. James was heard saying, \"Mia is not a knight\". \"Sophia is not a knave,\" Mia declared. Sophia told you that Benjamin is a knight or Mia is a knave. So who is a knight and who is a knave?", "names": ["Benjamin", "James", "Mia", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Benjamin is a knight, James is a knave, Mia is a knight, and Sophia is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) James is a knave\n(3) Mia is a knight\n(4) Sophia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Sophia is a knight.", "Assume Sophia is a knight. No contradiction is found in their claim that Benjamin is a knight or Mia is a knave.", "Assume Mia is a knight. No contradiction is found in their claim that Sophia is not a knave.", "James cannot be a knight, because this would contradict the claim of their own that Mia is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Mia is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('not', ('telling-truth', 2)), ('not', ('lying', 3)), ('or', ('telling-truth', 0), ('lying', 2)))", "index": 50}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Luke, Sofia, and Noah. Charlotte said that Charlotte is a knight. Luke was heard saying, \"If Sofia is a knave then Noah is a knave\". \"Noah is a knave or Luke is a knave\" - Sofia. In Noah's words: \"Charlotte is a knight\". So who is a knight and who is a knave?", "names": ["Charlotte", "Luke", "Sofia", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Charlotte is a knave, Luke is a knight, Sofia is a knight, and Noah is a knave.", "solution_text_format": "(1) Charlotte is a knave\n(2) Luke is a knight\n(3) Sofia is a knight\n(4) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Charlotte is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Sofia is a knave then Noah is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Noah is a knave or Luke is a knave.", "Noah cannot be a knight, because this would contradict the claim of Sofia that Noah is a knave or Luke is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that Charlotte is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Noah is a knave or Luke is a knave.", "Noah cannot be a knight, because this would contradict the claim of Luke that If Sofia is a knave then Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of Sofia that Noah is a knave or Luke is a knave.", "We have exhausted all possibilities for Noah and Sofia, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that If Sofia is a knave then Noah is a knave.", "Sofia cannot be a knight, because this would contradict the false claim of Luke that If Sofia is a knave then Noah is a knave.", "Sofia cannot be a knave, because this would contradict the false claim of their own that Noah is a knave or Luke is a knave.", "We have exhausted all possibilities for Sofia and Luke, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Sofia is a knave then Noah is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Noah is a knave or Luke is a knave.", "Noah cannot be a knight, because this would contradict the claim of Sofia that Noah is a knave or Luke is a knave.", "Assume Noah is a knave. No contradiction is found in their false claim that Charlotte is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('->', ('lying', 2), ('lying', 3)), ('or', ('lying', 3), ('lying', 1)), ('telling-truth', 0))", "index": 51}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Noah, Daniel, and Chloe. In a statement by Sophia: \"Chloe is a knave if and only if Sophia is a knight\". \"If Sophia is a knave then Chloe is a knave\" - Noah. Daniel expressed that Chloe is not a knight. \"Noah is a knave if and only if Sophia is a knight,\" Chloe claimed. So who is a knight and who is a knave?", "names": ["Sophia", "Noah", "Daniel", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Sophia is a knight, Noah is a knight, Daniel is a knight, and Chloe is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) Noah is a knight\n(3) Daniel is a knight\n(4) Chloe is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Sophia is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Sophia that Chloe is a knave if and only if Sophia is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Noah is a knave if and only if Sophia is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that If Sophia is a knave then Chloe is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Chloe is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 0)), ('->', ('lying', 0), ('lying', 3)), ('not', ('telling-truth', 3)), ('<=>', ('lying', 1), ('telling-truth', 0)))", "index": 52}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Liam, Owen, and Ella. William said that Ella is a knight or Liam is a knave. Liam noted, \"Owen is a knight and William is a knight\". Owen remarked, \"Liam is a knave or Ella is a knight\". \"Ella is a knight or Owen is a knave,\" Ella claimed. So who is a knight and who is a knave?", "names": ["William", "Liam", "Owen", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "William is a knight, Liam is a knight, Owen is a knight, and Ella is a knight.", "solution_text_format": "(1) William is a knight\n(2) Liam is a knight\n(3) Owen is a knight\n(4) Ella is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Ella is a knight or Liam is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Ella is a knight or Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Liam is a knave or Ella is a knight.", "Assume Liam is a knight. No contradiction is found in their claim that Owen is a knight and William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 3), ('lying', 1)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('or', ('lying', 1), ('telling-truth', 3)), ('or', ('telling-truth', 3), ('lying', 2)))", "index": 53}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Avery, Henry, and Sophia. Liam was heard saying, \"If Avery is a knight then Sophia is a knave\". Avery said that Sophia is a knight if and only if Sophia is a knave. Henry stated, \"Liam is a knave or Avery is a knight\". Sophia noted, \"Henry is not a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Avery", "Henry", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Liam is a knight, Avery is a knave, Henry is a knave, and Sophia is a knave.", "solution_text_format": "(1) Liam is a knight\n(2) Avery is a knave\n(3) Henry is a knave\n(4) Sophia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that If Avery is a knight then Sophia is a knave.", "Avery cannot be a knight, because this would contradict the claim of their own that Sophia is a knight if and only if Sophia is a knave.", "Assume Avery is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that Henry is not a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Liam is a knave or Avery is a knight.", "Henry cannot be a knave, because this would contradict the claim of Sophia that Henry is not a knave.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Sophia.", "Assume Sophia is a knave. No contradiction is found in their false claim that Henry is not a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Liam is a knave or Avery is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Liam is a knave or Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 3)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('or', ('lying', 0), ('telling-truth', 1)), ('not', ('lying', 2)))", "index": 54}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, Mason, Michael, and Olivia. Luke expressed that Mason is a knight and Olivia is a knave. \"Olivia is a knight,\" Mason declared. Michael said that Luke is a knight or Luke is a knave. \"Michael is a knight and Luke is a knight\" - Olivia. So who is a knight and who is a knave?", "names": ["Luke", "Mason", "Michael", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Luke is a knave, Mason is a knave, Michael is a knight, and Olivia is a knave.", "solution_text_format": "(1) Luke is a knave\n(2) Mason is a knave\n(3) Michael is a knight\n(4) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that Mason is a knight and Olivia is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of Luke that Mason is a knight and Olivia is a knave.", "Olivia cannot be a knave, because this would contradict the claim of Mason that Olivia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Mason.", "Mason cannot be a knave, because this would contradict the claim of Luke that Mason is a knight and Olivia is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Luke.", "Assume Luke is a knave. No contradiction is found in their false claim that Mason is a knight and Olivia is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Michael is a knight and Luke is a knight.", "Olivia cannot be a knave, because this would contradict the false claim of Luke that Mason is a knight and Olivia is a knave.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Mason.", "Assume Mason is a knave. No contradiction is found in their false claim that Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Mason that Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Michael is a knight and Luke is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Luke is a knight or Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 3)), ('telling-truth', 3), ('or', ('telling-truth', 0), ('lying', 0)), ('and', ('telling-truth', 2), ('telling-truth', 0)))", "index": 55}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Ella, William, and Daniel. Logan expressed that Daniel is a knave or Ella is a knave. \"William is a knave if and only if William is a knight,\" Ella declared. In a statement by William: \"Ella is not a knight\". As Daniel put it, \"William is not a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Ella", "William", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Logan is a knight, Ella is a knave, William is a knight, and Daniel is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Ella is a knave\n(3) William is a knight\n(4) Daniel is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Daniel is a knave or Ella is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that William is not a knight.", "William cannot be a knight, because this would contradict the claim of Daniel that William is not a knight.", "Assume William is a knave. No contradiction is found in their false claim that Ella is not a knight.", "Ella cannot be a knight, because this would contradict the claim of Logan that Daniel is a knave or Ella is a knave.", "Ella cannot be a knave, because this would contradict the false claim of William that Ella is not a knight.", "We have exhausted all possibilities for Ella and William, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that William is not a knight.", "Assume William is a knight. No contradiction is found in their claim that Ella is not a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that William is a knave if and only if William is a knight.", "Assume Ella is a knave. No contradiction is found in their false claim that William is a knave if and only if William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 3), ('lying', 1)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 1)), ('not', ('telling-truth', 2)))", "index": 56}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Zoey, Avery, and Charlotte. Benjamin was heard saying, \"Avery is a knave or Charlotte is a knave\". Zoey commented, \"If Charlotte is a knight then Benjamin is a knave\". As Avery put it, \"Avery is a knight and Zoey is a knave\". Charlotte said that Charlotte is a knight and Avery is a knight. So who is a knight and who is a knave?", "names": ["Benjamin", "Zoey", "Avery", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Benjamin is a knight, Zoey is a knight, Avery is a knave, and Charlotte is a knave.", "solution_text_format": "(1) Benjamin is a knight\n(2) Zoey is a knight\n(3) Avery is a knave\n(4) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Avery is a knave or Charlotte is a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Avery is a knight and Zoey is a knave.", "Zoey cannot be a knight, because this would contradict the claim of Avery that Avery is a knight and Zoey is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Charlotte is a knight then Benjamin is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Benjamin that Avery is a knave or Charlotte is a knave.", "Charlotte cannot be a knave, because this would contradict the false claim of Zoey that If Charlotte is a knight then Benjamin is a knave.", "We have exhausted all possibilities for Charlotte and Zoey, 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 and Zoey is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Charlotte is a knight then Benjamin is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Zoey that If Charlotte is a knight then Benjamin is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Charlotte is a knight and Avery is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 2), ('lying', 3)), ('->', ('telling-truth', 3), ('lying', 0)), ('and', ('telling-truth', 2), ('lying', 1)), ('and', ('telling-truth', 3), ('telling-truth', 2)))", "index": 57}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, William, Aiden, and Olivia. Ella remarked, \"William is a knight if and only if William is a knave\". \"If Aiden is a knight then Olivia is a knight,\" William declared. Aiden said, \"Ella is a knight.\" Olivia asserted: \"William is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "William", "Aiden", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, false], "solution_text": "Ella is a knave, William is a knight, Aiden is a knave, and Olivia is a knave.", "solution_text_format": "(1) Ella is a knave\n(2) William is a knight\n(3) Aiden is a knave\n(4) Olivia is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Ella cannot be a knight, because this would contradict the claim of their own that William is a knight if and only if William is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that William is a knight if and only if William is a knave.", "Assume William is a knight. No contradiction is found in their claim that If Aiden is a knight then Olivia is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that Ella is a knight.", "Assume Aiden is a knave. No contradiction is found in their false claim that Ella is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that William is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that William is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('telling-truth', 0), ('lying', 1))", "index": 58}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Evelyn, Zoey, Isabella, and James. Evelyn stated, \"James is not a knave\". In Zoey's words: \"If Evelyn is a knave then Evelyn is a knight\". Isabella said that Zoey is a knave. According to James, \"Zoey is a knave if and only if Isabella is a knave\". So who is a knight and who is a knave?", "names": ["Evelyn", "Zoey", "Isabella", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Evelyn is a knave, Zoey is a knave, Isabella is a knight, and James is a knave.", "solution_text_format": "(1) Evelyn is a knave\n(2) Zoey is a knave\n(3) Isabella is a knight\n(4) James is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Evelyn is a knight. No contradiction is found in their claim that James is not a knave.", "Assume James is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Isabella is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Evelyn is a knave then Evelyn is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Zoey is a knave.", "Isabella cannot be a knave, because this would contradict the claim of James that Zoey is a knave if and only if Isabella is a knave.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Zoey.", "Zoey cannot be a knave, because this would contradict the false claim of their own that If Evelyn is a knave then Evelyn is a knight.", "We have exhausted all possibilities for Zoey, so let us go back and reconsider James.", "James cannot be a knave, because this would contradict the claim of Evelyn that James is not a knave.", "We have exhausted all possibilities for James, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that James is not a knave.", "James cannot be a knight, because this would contradict the false claim of Evelyn that James is not a knave.", "Assume James is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Isabella is a knave.", "Zoey cannot be a knight, because this would contradict the claim of their own that If Evelyn is a knave then Evelyn is a knight.", "Assume Zoey is a knave. No contradiction is found in their false claim that If Evelyn is a knave then Evelyn is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Zoey is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('->', ('lying', 0), ('telling-truth', 0)), ('lying', 1), ('<=>', ('lying', 1), ('lying', 2)))", "index": 59}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Isabella, Ella, and Emma. Jack noted, \"Isabella is a knave or Emma is a knave\". Isabella remarked, \"Ella is not a knave\". According to Ella, \"Isabella is a knave or Emma is a knight\". \"Emma is a knight,\" Emma declared. So who is a knight and who is a knave?", "names": ["Jack", "Isabella", "Ella", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Jack is a knave, Isabella is a knight, Ella is a knight, and Emma is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Isabella is a knight\n(3) Ella is a knight\n(4) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Isabella is a knave or Emma is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Ella is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Isabella is a knave or Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of Jack that Isabella is a knave or Emma is a knave.", "Emma cannot be a knave, because this would contradict the claim of Ella that Isabella is a knave or Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Ella.", "Ella cannot be a knave, because this would contradict the claim of Isabella that Ella is not a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Ella is not a knave.", "Ella cannot be a knight, because this would contradict the false claim of Isabella that Ella is not a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that Isabella is a knave or Emma is a knight.", "We have exhausted all possibilities for Ella and Isabella, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Isabella is a knave or Emma is a knave.", "Assume Isabella is a knight. No contradiction is found in their claim that Ella is not a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Isabella is a knave or Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Emma is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('lying', 3)), ('not', ('lying', 2)), ('or', ('lying', 1), ('telling-truth', 3)), ('telling-truth', 3))", "index": 60}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Charlotte, Elizabeth, Ethan, and Aiden. According to Charlotte, \"Aiden is a knave\". Elizabeth commented, \"Aiden is a knight or Ethan is a knave\". \"If Aiden is a knave then Elizabeth is a knight,\" Ethan mentioned. In a statement by Aiden: \"Elizabeth is a knight or Charlotte is a knave\". So who is a knight and who is a knave?", "names": ["Charlotte", "Elizabeth", "Ethan", "Aiden"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Charlotte is a knave, Elizabeth is a knight, Ethan is a knight, and Aiden is a knight.", "solution_text_format": "(1) Charlotte is a knave\n(2) Elizabeth is a knight\n(3) Ethan is a knight\n(4) Aiden is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Charlotte is a knight. No contradiction is found in their claim that Aiden is a knave.", "Aiden cannot be a knight, because this would contradict the claim of Charlotte that Aiden is a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that Elizabeth is a knight or Charlotte is a knave.", "Elizabeth cannot be a knight, because this would contradict the false claim of Aiden that Elizabeth is a knight or Charlotte is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Aiden is a knight or Ethan is a knave.", "Ethan cannot be a knight, because this would contradict the claim of their own that If Aiden is a knave then Elizabeth is a knight.", "Ethan cannot be a knave, because this would contradict the false claim of Elizabeth that Aiden is a knight or Ethan is a knave.", "We have exhausted all possibilities for Ethan, Elizabeth, and Aiden, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Aiden is a knave.", "Assume Aiden is a knight. No contradiction is found in their claim that Elizabeth is a knight or Charlotte is a knave.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Aiden is a knight or Ethan is a knave.", "Assume Ethan is a knight. No contradiction is found in their claim that If Aiden is a knave then Elizabeth is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('or', ('telling-truth', 3), ('lying', 2)), ('->', ('lying', 3), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 0)))", "index": 61}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, James, Sebastian, and Avery. Sofia was heard saying, \"Avery is not a knight\". James expressed that Sofia is a knight if and only if Avery is a knight. \"James is not a knave,\" Sebastian declared. Avery said, \"James is a knight and James is a knave.\" So who is a knight and who is a knave?", "names": ["Sofia", "James", "Sebastian", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Sofia is a knight, James is a knave, Sebastian is a knave, and Avery is a knave.", "solution_text_format": "(1) Sofia is a knight\n(2) James is a knave\n(3) Sebastian is a knave\n(4) Avery is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Avery is not a knight.", "Avery cannot be a knight, because this would contradict the claim of Sofia that Avery is not a knight.", "Assume Avery is a knave. No contradiction is found in their false claim that James is a knight and James is a knave.", "James cannot be a knight, because this would contradict the claim of their own that Sofia is a knight if and only if Avery is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if Avery is a knight.", "Sebastian cannot be a knight, because this would contradict the claim of their own that James is not a knave.", "Assume Sebastian is a knave. No contradiction is found in their false claim that James is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('not', ('lying', 1)), ('and', ('telling-truth', 1), ('lying', 1)))", "index": 62}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sebastian, Lucas, Daniel, and Noah. Sebastian expressed that Noah is not a knight. Lucas expressed that Daniel is a knave. \"Noah is a knave,\" Daniel mentioned. Noah remarked, \"Daniel is a knight if and only if Daniel is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Lucas", "Daniel", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Sebastian is a knight, Lucas is a knave, Daniel is a knight, and Noah is a knave.", "solution_text_format": "(1) Sebastian is a knight\n(2) Lucas is a knave\n(3) Daniel is a knight\n(4) Noah is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sebastian is a knight. No contradiction is found in their claim that Noah is not a knight.", "Noah cannot be a knight, because this would contradict the claim of Sebastian that Noah is not a knight.", "Assume Noah is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Daniel is a knave.", "Assume Daniel is a knight. No contradiction is found in their claim that Noah is a knave.", "Lucas cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Daniel is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 3)), ('lying', 2), ('lying', 3), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 63}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Jack, Henry, and Lucas. James stated, \"Henry is a knave and Jack is a knave\". Jack said that Jack is a knight. As Henry put it, \"Lucas is a knave or Jack is a knight\". Lucas said, \"Henry is not a knave.\" So who is a knight and who is a knave?", "names": ["James", "Jack", "Henry", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "James is a knave, Jack is a knight, Henry is a knight, and Lucas is a knight.", "solution_text_format": "(1) James is a knave\n(2) Jack is a knight\n(3) Henry is a knight\n(4) Lucas is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Henry is a knave and Jack is a knave.", "Henry cannot be a knight, because this would contradict the claim of James that Henry is a knave and Jack is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Lucas is a knave or Jack is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Henry is not a knave.", "Lucas cannot be a knave, because this would contradict the false claim of Henry that Lucas is a knave or Jack is a knight.", "We have exhausted all possibilities for Lucas and Henry, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Henry is a knave and Jack is a knave.", "Assume Henry is a knight. No contradiction is found in their claim that Lucas is a knave or Jack is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Henry is not a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Jack is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('lying', 1)), ('telling-truth', 1), ('or', ('lying', 3), ('telling-truth', 1)), ('not', ('lying', 2)))", "index": 64}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Oliver, Henry, and Abigail. Noah expressed that Oliver is not a knight. Oliver was heard saying, \"Oliver is a knight if and only if Henry is a knave\". Henry noted, \"Abigail is a knight and Noah is a knave\". Abigail stated, \"Oliver is a knave or Henry is a knave\". So who is a knight and who is a knave?", "names": ["Noah", "Oliver", "Henry", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Noah is a knight, Oliver is a knave, Henry is a knave, and Abigail is a knight.", "solution_text_format": "(1) Noah is a knight\n(2) Oliver is a knave\n(3) Henry is a knave\n(4) Abigail is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that Oliver is not a knight.", "Oliver cannot be a knight, because this would contradict the claim of Noah that Oliver is not a knight.", "Assume Oliver is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Henry is a knave.", "Henry cannot be a knight, because this would contradict the false claim of Oliver that Oliver is a knight if and only if Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Abigail is a knight and Noah is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Oliver is a knave or Henry is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 3), ('lying', 0)), ('or', ('lying', 1), ('lying', 2)))", "index": 65}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Elizabeth, Avery, and Luke. Ava told you that Elizabeth is a knight and Avery is a knave. Elizabeth expressed that Luke is a knight and Luke is a knave. As Avery put it, \"Elizabeth is not a knight\". In a statement by Luke: \"Avery is not a knave\". So who is a knight and who is a knave?", "names": ["Ava", "Elizabeth", "Avery", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Ava is a knave, Elizabeth is a knave, Avery is a knight, and Luke is a knight.", "solution_text_format": "(1) Ava is a knave\n(2) Elizabeth is a knave\n(3) Avery is a knight\n(4) Luke is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ava is a knight. No contradiction is found in their claim that Elizabeth is a knight and Avery is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Luke is a knight and Luke is a knave.", "Elizabeth cannot be a knave, because this would contradict the claim of Ava that Elizabeth is a knight and Avery is a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Ava.", "Assume Ava is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Avery is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Luke is a knight and Luke is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Luke is a knight and Luke is a knave.", "Assume Luke is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that Elizabeth is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 3), ('lying', 3)), ('not', ('telling-truth', 1)), ('not', ('lying', 2)))", "index": 66}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Joseph, Ava, and Charlotte. Liam said that Charlotte is a knight and Liam is a knight. As Joseph put it, \"Ava is a knave if and only if Charlotte is a knave\". Ava said, \"Charlotte is a knave or Joseph is a knave.\" As Charlotte put it, \"Ava is a knave\". So who is a knight and who is a knave?", "names": ["Liam", "Joseph", "Ava", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Liam is a knave, Joseph is a knave, Ava is a knight, and Charlotte is a knave.", "solution_text_format": "(1) Liam is a knave\n(2) Joseph is a knave\n(3) Ava is a knight\n(4) Charlotte is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Liam is a knight. No contradiction is found in their claim that Charlotte is a knight and Liam is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Charlotte that Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Charlotte is a knave or Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Charlotte is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of Ava that Charlotte is a knave or Joseph is a knave.", "We have exhausted all possibilities for Joseph and Ava, so let us go back and reconsider Charlotte.", "Charlotte cannot be a knave, because this would contradict the claim of Liam that Charlotte is a knight and Liam is a knight.", "We have exhausted all possibilities for Charlotte, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that Charlotte is a knight and Liam is a knight.", "Assume Charlotte is a knight. No contradiction is found in their claim that Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Charlotte that Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Charlotte is a knave or Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Charlotte is a knave.", "Joseph cannot be a knave, because this would contradict the false claim of Ava that Charlotte is a knave or Joseph is a knave.", "We have exhausted all possibilities for Joseph and Ava, so let us go back and reconsider Charlotte.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Charlotte is a knave or Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if Charlotte is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Charlotte is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 3), ('telling-truth', 0)), ('<=>', ('lying', 2), ('lying', 3)), ('or', ('lying', 3), ('lying', 1)), ('lying', 2))", "index": 67}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aurora, Elizabeth, Grace, and Daniel. \"Elizabeth is a knight if and only if Grace is a knave\" - Aurora. \"Grace is a knight and Grace is a knave,\" Elizabeth declared. \"Daniel is a knave or Grace is a knight,\" Grace mentioned. In Daniel's words: \"Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "Elizabeth", "Grace", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Aurora is a knight, Elizabeth is a knave, Grace is a knight, and Daniel is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) Elizabeth is a knave\n(3) Grace is a knight\n(4) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Grace is a knave.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Grace is a knight and Grace is a knave.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Grace is a knight and Grace is a knave.", "Assume Grace is a knight. No contradiction is found in their claim that Daniel is a knave or Grace is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 2)), ('or', ('lying', 3), ('telling-truth', 2)), ('telling-truth', 0))", "index": 68}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Scarlett, Sophia, Logan, and Victoria. According to Scarlett, \"Victoria is a knave\". Sophia remarked, \"Scarlett is a knight\". \"Sophia is a knight\" - Logan. In a statement by Victoria: \"Logan is a knave or Logan is a knight\". So who is a knight and who is a knave?", "names": ["Scarlett", "Sophia", "Logan", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Scarlett is a knave, Sophia is a knave, Logan is a knave, and Victoria is a knight.", "solution_text_format": "(1) Scarlett is a knave\n(2) Sophia is a knave\n(3) Logan is a knave\n(4) Victoria is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Scarlett is a knight. No contradiction is found in their claim that Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of Scarlett that Victoria is a knave.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Logan is a knave or Logan is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Victoria is a knave.", "Assume Victoria is a knight. No contradiction is found in their claim that Logan is a knave or Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight.", "Sophia cannot be a knave, because this would contradict the claim of Logan that Sophia is a knight.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Sophia is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Scarlett is a knight.", "Assume Sophia is a knave. No contradiction is found in their false claim that Scarlett is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 3), ('telling-truth', 0), ('telling-truth', 1), ('or', ('lying', 2), ('telling-truth', 2)))", "index": 69}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aurora, David, Owen, and Mia. Aurora said that David is a knight or Mia is a knight. David noted, \"Mia is a knight or Aurora is a knight\". In a statement by Owen: \"If Aurora is a knave then Aurora is a knight\". Mia asserted: \"David is a knight if and only if Aurora is a knight\". So who is a knight and who is a knave?", "names": ["Aurora", "David", "Owen", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Aurora is a knight, David is a knight, Owen is a knight, and Mia is a knight.", "solution_text_format": "(1) Aurora is a knight\n(2) David is a knight\n(3) Owen is a knight\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aurora is a knight. No contradiction is found in their claim that David is a knight or Mia is a knight.", "Assume David is a knight. No contradiction is found in their claim that Mia is a knight or Aurora is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that David is a knight if and only if Aurora is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that If Aurora is a knave then Aurora is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 3), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 70}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Oliver, Lily, and Avery. \"Avery is not a knave,\" Zoey declared. Oliver noted, \"Lily is a knave or Oliver is a knight\". Lily remarked, \"Oliver is a knave and Avery is a knave\". Avery said, \"If Lily is a knight then Oliver is a knave.\" So who is a knight and who is a knave?", "names": ["Zoey", "Oliver", "Lily", "Avery"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Zoey is a knight, Oliver is a knight, Lily is a knave, and Avery is a knight.", "solution_text_format": "(1) Zoey is a knight\n(2) Oliver is a knight\n(3) Lily is a knave\n(4) Avery is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Zoey is a knight. No contradiction is found in their claim that Avery is not a knave.", "Assume Avery is a knight. No contradiction is found in their claim that If Lily is a knight then Oliver is a knave.", "Lily cannot be a knight, because this would contradict the claim of their own that Oliver is a knave and Avery is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Oliver is a knave and Avery is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Lily is a knave or Oliver is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 3)), ('or', ('lying', 2), ('telling-truth', 1)), ('and', ('lying', 1), ('lying', 3)), ('->', ('telling-truth', 2), ('lying', 1)))", "index": 71}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Luke, David, Ava, and James. Luke asserted: \"If David is a knight then Ava is a knave\". In David's words: \"Luke is a knight and Luke is a knave\". As Ava put it, \"James is a knight\". According to James, \"Luke is a knave or David is a knave\". So who is a knight and who is a knave?", "names": ["Luke", "David", "Ava", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Luke is a knight, David is a knave, Ava is a knight, and James is a knight.", "solution_text_format": "(1) Luke is a knight\n(2) David is a knave\n(3) Ava is a knight\n(4) James is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Luke is a knight. No contradiction is found in their claim that If David is a knight then Ava is a knave.", "David cannot be a knight, because this would contradict the claim of their own that Luke is a knight and Luke is a knave.", "Assume David is a knave. No contradiction is found in their false claim that Luke is a knight and Luke is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Luke is a knave or David is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 0), ('lying', 0)), ('telling-truth', 3), ('or', ('lying', 0), ('lying', 1)))", "index": 72}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Isabella, Jacob, Aiden, and Chloe. As Isabella put it, \"Chloe is a knave and Jacob is a knight\". In a statement by Jacob: \"Chloe is a knight or Chloe is a knave\". Aiden was heard saying, \"Jacob is not a knight\". Chloe said that If Aiden is a knight then Jacob is a knight. So who is a knight and who is a knave?", "names": ["Isabella", "Jacob", "Aiden", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, false, true], "solution_text": "Isabella is a knave, Jacob is a knight, Aiden is a knave, and Chloe is a knight.", "solution_text_format": "(1) Isabella is a knave\n(2) Jacob is a knight\n(3) Aiden is a knave\n(4) Chloe is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Isabella is a knight. No contradiction is found in their claim that Chloe is a knave and Jacob is a knight.", "Chloe cannot be a knight, because this would contradict the claim of Isabella that Chloe is a knave and Jacob is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that If Aiden is a knight then Jacob is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of Aiden that Jacob is not a knight.", "Jacob cannot be a knave, because this would contradict the claim of Isabella that Chloe is a knave and Jacob is a knight.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Aiden.", "Aiden cannot be a knave, because this would contradict the false claim of Chloe that If Aiden is a knight then Jacob is a knight.", "We have exhausted all possibilities for Aiden and Chloe, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Chloe is a knave and Jacob is a knight.", "Assume Chloe is a knight. No contradiction is found in their claim that If Aiden is a knight then Jacob is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Jacob is not a knight.", "Jacob cannot be a knight, because this would contradict the claim of Aiden that Jacob is not a knight.", "Jacob cannot be a knave, because this would contradict the false claim of their own that Chloe is a knight or Chloe is a knave.", "We have exhausted all possibilities for Jacob, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Jacob is not a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Chloe is a knight or Chloe is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 3), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('lying', 3)), ('not', ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 1)))", "index": 73}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jackson, Aria, Matthew, and Emma. Jackson was heard saying, \"Matthew is a knave\". According to Aria, \"Matthew is a knave and Emma is a knave\". Matthew remarked, \"Jackson is a knight if and only if Matthew is a knight\". In Emma's words: \"Matthew is a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Aria", "Matthew", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Jackson is a knight, Aria is a knight, Matthew is a knave, and Emma is a knave.", "solution_text_format": "(1) Jackson is a knight\n(2) Aria is a knight\n(3) Matthew is a knave\n(4) Emma is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson 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 Jackson that Matthew is a knave.", "Assume Matthew is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if Matthew is a knight.", "Assume Aria is a knight. No contradiction is found in their claim that Matthew is a knave and Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Aria that Matthew is a knave and Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Matthew is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('and', ('lying', 2), ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 2))", "index": 74}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Mason, Harper, Joseph, and Scarlett. Mason said, \"Scarlett is a knave if and only if Harper is a knight.\" As Harper put it, \"Scarlett is not a knight\". \"Mason is not a knight,\" Joseph mentioned. Scarlett said that Joseph is a knave. So who is a knight and who is a knave?", "names": ["Mason", "Harper", "Joseph", "Scarlett"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Mason is a knight, Harper is a knave, Joseph is a knave, and Scarlett is a knight.", "solution_text_format": "(1) Mason is a knight\n(2) Harper is a knave\n(3) Joseph is a knave\n(4) Scarlett is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Mason is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Harper is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of their own that Mason is not a knight.", "Assume Joseph is a knave. No contradiction is found in their false claim that Mason is not a knight.", "Harper cannot be a knight, because this would contradict the claim of Mason that Scarlett is a knave if and only if Harper is a knight.", "Assume Harper is a knave. No contradiction is found in their false claim that Scarlett is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 3), ('telling-truth', 1)), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 0)), ('lying', 2))", "index": 75}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Noah, Aria, Daniel, and Isabella. In a statement by Noah: \"If Noah is a knight then Aria is a knave\". In a statement by Aria: \"Daniel is a knight if and only if Daniel is a knave\". Daniel said, \"If Noah is a knight then Noah is a knave.\" According to Isabella, \"Aria is a knight if and only if Aria is a knave\". So who is a knight and who is a knave?", "names": ["Noah", "Aria", "Daniel", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Noah is a knight, Aria is a knave, Daniel is a knave, and Isabella is a knave.", "solution_text_format": "(1) Noah is a knight\n(2) Aria is a knave\n(3) Daniel is a knave\n(4) Isabella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Noah is a knight. No contradiction is found in their claim that If Noah is a knight then Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Noah that If Noah is a knight then Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Daniel is a knave.", "Daniel cannot be a knight, because this would contradict the claim of their own that If Noah is a knight then Noah is a knave.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Noah is a knight then Noah is a knave.", "Isabella 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 Isabella is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Aria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('->', ('telling-truth', 0), ('lying', 0)), ('<=>', ('telling-truth', 1), ('lying', 1)))", "index": 76}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, Charlotte, Aiden, and David. In a statement by Ella: \"Charlotte is not a knight\". Charlotte said, \"David is a knight and Ella is a knight.\" Aiden said, \"David is not a knave.\" David stated, \"Aiden is a knight and David is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Charlotte", "Aiden", "David"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, false], "solution_text": "Ella is a knight, Charlotte is a knave, Aiden is a knave, and David is a knave.", "solution_text_format": "(1) Ella is a knight\n(2) Charlotte is a knave\n(3) Aiden is a knave\n(4) David is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ella is a knight. No contradiction is found in their claim that Charlotte is not a knight.", "Charlotte cannot be a knight, because this would contradict the claim of Ella that Charlotte is not a knight.", "Assume Charlotte is a knave. No contradiction is found in their false claim that David is a knight and Ella is a knight.", "David cannot be a knight, because this would contradict the false claim of Charlotte that David is a knight and Ella is a knight.", "Assume David is a knave. No contradiction is found in their false claim that Aiden is a knight and David is a knight.", "Aiden cannot be a knight, because this would contradict the claim of their own that David is not a knave.", "Assume Aiden is a knave. No contradiction is found in their false claim that David is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('not', ('lying', 3)), ('and', ('telling-truth', 2), ('telling-truth', 3)))", "index": 77}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: William, Emma, Mason, and Liam. As William put it, \"Mason is a knight or Liam is a knight\". Emma expressed that If Liam is a knave then William is a knight. In a statement by Mason: \"William is not a knight\". \"William is a knight,\" Liam claimed. So who is a knight and who is a knave?", "names": ["William", "Emma", "Mason", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "William is a knight, Emma is a knight, Mason is a knave, and Liam is a knight.", "solution_text_format": "(1) William is a knight\n(2) Emma is a knight\n(3) Mason is a knave\n(4) Liam is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume William is a knight. No contradiction is found in their claim that Mason is a knight or Liam is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that William is not a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that William is not a knight.", "Assume Liam is a knight. No contradiction is found in their claim that William is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that If Liam is a knave then William is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 3)), ('->', ('lying', 3), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('telling-truth', 0))", "index": 78}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: James, Scarlett, Harper, and Emma. James commented, \"Harper is a knave\". Scarlett asserted: \"Emma is not a knight\". Harper asserted: \"James is a knave or James is a knight\". Emma said that James is a knave. So who is a knight and who is a knave?", "names": ["James", "Scarlett", "Harper", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "James is a knave, Scarlett is a knave, Harper is a knight, and Emma is a knight.", "solution_text_format": "(1) James is a knave\n(2) Scarlett is a knave\n(3) Harper is a knight\n(4) Emma is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume James is a knight. No contradiction is found in their claim that Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of James that Harper is a knave.", "Harper cannot be a knave, because this would contradict the false claim of their own that James is a knave or James is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Harper is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that James is a knave or James is a knight.", "Assume Scarlett is a knight. No contradiction is found in their claim that Emma is not a knight.", "Emma cannot be a knight, because this would contradict the claim of Scarlett that Emma is not a knight.", "Emma cannot be a knave, because this would contradict the false claim of their own that James is a knave.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that Emma is not a knight.", "Assume Emma is a knight. No contradiction is found in their claim that James is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 2), ('not', ('telling-truth', 3)), ('or', ('lying', 0), ('telling-truth', 0)), ('lying', 0))", "index": 79}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Benjamin, Olivia, Liam, and Joseph. Benjamin remarked, \"Benjamin is a knight if and only if Liam is a knave\". \"Liam is a knight and Benjamin is a knave,\" Olivia mentioned. \"Joseph is a knave,\" Liam mentioned. In a statement by Joseph: \"Benjamin is not a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Olivia", "Liam", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, false, true], "solution_text": "Benjamin is a knight, Olivia is a knave, Liam is a knave, and Joseph is a knight.", "solution_text_format": "(1) Benjamin is a knight\n(2) Olivia is a knave\n(3) Liam is a knave\n(4) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of Benjamin that Benjamin is a knight if and only if Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that Joseph is a knave.", "Assume Joseph is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Olivia cannot be a knight, because this would contradict the claim of their own that Liam is a knight and Benjamin is a knave.", "Assume Olivia is a knave. No contradiction is found in their false claim that Liam is a knight and Benjamin is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 2), ('lying', 0)), ('lying', 3), ('not', ('lying', 0)))", "index": 80}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Henry, Emma, and Jack. Chloe was heard saying, \"If Jack is a knave then Emma is a knight\". As Henry put it, \"If Chloe is a knight then Emma is a knave\". \"Henry is a knave or Henry is a knight,\" Emma declared. Jack noted, \"Chloe is not a knave\". So who is a knight and who is a knave?", "names": ["Chloe", "Henry", "Emma", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, true], "solution_text": "Chloe is a knight, Henry is a knave, Emma is a knight, and Jack is a knight.", "solution_text_format": "(1) Chloe is a knight\n(2) Henry is a knave\n(3) Emma is a knight\n(4) Jack is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that If Jack is a knave then Emma is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that Chloe is not a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Henry is a knave or Henry is a knight.", "Henry cannot be a knight, because this would contradict the claim of their own that If Chloe is a knight then Emma is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that If Chloe is a knight then Emma is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 3), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('lying', 2)), ('or', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 0)))", "index": 81}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sofia, Scarlett, Victoria, and Jacob. \"Scarlett is a knight or Jacob is a knave,\" Sofia declared. \"If Sofia is a knave then Victoria is a knave,\" Scarlett declared. \"Sofia is a knave\" - Victoria. \"Victoria is a knave,\" Jacob claimed. So who is a knight and who is a knave?", "names": ["Sofia", "Scarlett", "Victoria", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Sofia is a knight, Scarlett is a knight, Victoria is a knave, and Jacob is a knight.", "solution_text_format": "(1) Sofia is a knight\n(2) Scarlett is a knight\n(3) Victoria is a knave\n(4) Jacob is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sofia is a knight. No contradiction is found in their claim that Scarlett is a knight or Jacob is a knave.", "Assume Scarlett is a knight. No contradiction is found in their claim that If Sofia is a knave then Victoria is a knave.", "Victoria cannot be a knight, because this would contradict the claim of their own that Sofia is a knave.", "Assume Victoria is a knave. No contradiction is found in their false claim that Sofia is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Victoria is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 3)), ('->', ('lying', 0), ('lying', 2)), ('lying', 0), ('lying', 2))", "index": 82}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Sofia, Noah, and Ella. Logan stated, \"Sofia is a knave and Noah is a knave\". Sofia told you that Logan is a knave or Sofia is a knight. \"Logan is a knave or Sofia is a knave,\" Noah claimed. \"Noah is a knave,\" Ella claimed. So who is a knight and who is a knave?", "names": ["Logan", "Sofia", "Noah", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Logan is a knave, Sofia is a knight, Noah is a knight, and Ella is a knave.", "solution_text_format": "(1) Logan is a knave\n(2) Sofia is a knight\n(3) Noah is a knight\n(4) Ella is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Sofia is a knave and Noah is a knave.", "Sofia cannot be a knight, because this would contradict the claim of Logan that Sofia is a knave and Noah is a knave.", "Assume Sofia is a knave. No contradiction is found in their false claim that Logan is a knave or Sofia is a knight.", "Noah cannot be a knight, because this would contradict the claim of Logan that Sofia is a knave and Noah is a knave.", "Noah cannot be a knave, because this would contradict the false claim of their own that Logan is a knave or Sofia is a knave.", "We have exhausted all possibilities for Noah and Sofia, so let us go back and reconsider Logan.", "Assume Logan is a knave. No contradiction is found in their false claim that Sofia is a knave and Noah is a knave.", "Assume Sofia is a knight. No contradiction is found in their claim that Logan is a knave or Sofia is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Logan is a knave or Sofia is a knave.", "Ella cannot be a knight, because this would contradict the claim of their own that Noah is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Noah is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('lying', 2)), ('or', ('lying', 0), ('telling-truth', 1)), ('or', ('lying', 0), ('lying', 1)), ('lying', 2))", "index": 83}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Daniel, Isabella, Luke, and Emily. Daniel asserted: \"Luke is a knave and Luke is a knight\". Isabella told you that Luke is not a knight. According to Luke, \"Luke is a knight or Isabella is a knight\". Emily commented, \"Luke is a knight if and only if Luke is a knave\". So who is a knight and who is a knave?", "names": ["Daniel", "Isabella", "Luke", "Emily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Daniel is a knave, Isabella is a knave, Luke is a knight, and Emily is a knave.", "solution_text_format": "(1) Daniel is a knave\n(2) Isabella is a knave\n(3) Luke is a knight\n(4) Emily is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Daniel cannot be a knight, because this would contradict the claim of their own that Luke is a knave and Luke is a knight.", "Assume Daniel is a knave. No contradiction is found in their false claim that Luke is a knave and Luke is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that Luke is a knight or Isabella is a knight.", "Isabella cannot be a knight, because this would contradict the claim of their own that Luke is not a knight.", "Assume Isabella is a knave. No contradiction is found in their false claim that Luke is not a knight.", "Emily cannot be a knight, because this would contradict the claim of their own that Luke is a knight if and only if Luke is a knave.", "Assume Emily is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Luke is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 2), ('telling-truth', 2)), ('not', ('telling-truth', 2)), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 2)))", "index": 84}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Michael, Ava, and Jack. \"If Jack is a knight then Ava is a knave\" - Ethan. According to Michael, \"Ava is a knave or Jack is a knight\". Ava said that Michael is a knight and Michael is a knave. \"Michael is a knave and Jack is a knight\" - Jack. So who is a knight and who is a knave?", "names": ["Ethan", "Michael", "Ava", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, false], "solution_text": "Ethan is a knight, Michael is a knight, Ava is a knave, and Jack is a knave.", "solution_text_format": "(1) Ethan is a knight\n(2) Michael is a knight\n(3) Ava is a knave\n(4) Jack is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Ethan is a knight. No contradiction is found in their claim that If Jack is a knight then Ava is a knave.", "Assume Jack is a knight. No contradiction is found in their claim that Michael is a knave and Jack is a knight.", "Michael cannot be a knight, because this would contradict the claim of Jack that Michael is a knave and Jack is a knight.", "Michael cannot be a knave, because this would contradict the false claim of their own that Ava is a knave or Jack is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Michael is a knave and Jack is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that Ava is a knave or Jack is a knight.", "Ava cannot be a knight, because this would contradict the claim of Michael that Ava is a knave or Jack is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Michael is a knight and Michael is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 3), ('lying', 2)), ('or', ('lying', 2), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('lying', 1)), ('and', ('lying', 1), ('telling-truth', 3)))", "index": 85}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Abigail, Luke, and Benjamin. Jack commented, \"Abigail is a knight or Benjamin is a knave\". Abigail said that Benjamin is not a knave. Luke told you that If Benjamin is a knave then Abigail is a knight. In a statement by Benjamin: \"If Jack is a knave then Jack is a knight\". So who is a knight and who is a knave?", "names": ["Jack", "Abigail", "Luke", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Jack is a knight, Abigail is a knight, Luke is a knight, and Benjamin is a knight.", "solution_text_format": "(1) Jack is a knight\n(2) Abigail is a knight\n(3) Luke is a knight\n(4) Benjamin is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Abigail is a knight or Benjamin is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Jack is a knave then Jack is a knight.", "Assume Luke is a knight. No contradiction is found in their claim that If Benjamin is a knave then Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 3)), ('not', ('lying', 3)), ('->', ('lying', 3), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 0)))", "index": 86}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Michael, Zoey, and Joseph. Chloe said that Michael is a knave. \"If Michael is a knight then Joseph is a knight,\" Michael declared. As Zoey put it, \"Michael is a knight or Chloe is a knight\". \"Chloe is a knave,\" Joseph declared. So who is a knight and who is a knave?", "names": ["Chloe", "Michael", "Zoey", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, true], "solution_text": "Chloe is a knave, Michael is a knight, Zoey is a knight, and Joseph is a knight.", "solution_text_format": "(1) Chloe is a knave\n(2) Michael is a knight\n(3) Zoey is a knight\n(4) Joseph is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Chloe is a knight. No contradiction is found in their claim that Michael is a knave.", "Michael cannot be a knight, because this would contradict the claim of Chloe that Michael is a knave.", "Michael cannot be a knave, because this would contradict the false claim of their own that If Michael is a knight then Joseph is a knight.", "We have exhausted all possibilities for Michael, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Michael is a knight then Joseph is a knight.", "Assume Joseph is a knight. No contradiction is found in their claim that Chloe is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that Michael is a knight or Chloe is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('lying', 0))", "index": 87}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Riley, Victoria, and Elizabeth. Amelia told you that Elizabeth is a knight. Riley remarked, \"Elizabeth is not a knight\". Victoria stated, \"Elizabeth is a knight or Elizabeth is a knave\". \"Amelia is a knave and Amelia is a knight,\" Elizabeth claimed. So who is a knight and who is a knave?", "names": ["Amelia", "Riley", "Victoria", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true, true, false], "solution_text": "Amelia is a knave, Riley is a knight, Victoria is a knight, and Elizabeth is a knave.", "solution_text_format": "(1) Amelia is a knave\n(2) Riley is a knight\n(3) Victoria is a knight\n(4) Elizabeth is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Amelia is a knight. No contradiction is found in their claim that Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Amelia is a knave and Amelia is a knight.", "Elizabeth cannot be a knave, because this would contradict the claim of Amelia that Elizabeth is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Amelia.", "Assume Amelia is a knave. No contradiction is found in their false claim that Elizabeth is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Amelia that Elizabeth is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Amelia is a knave and Amelia is a knight.", "Assume Riley is a knight. No contradiction is found in their claim that Elizabeth is not a knight.", "Assume Victoria is a knight. No contradiction is found in their claim that Elizabeth is a knight or Elizabeth is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 3), ('not', ('telling-truth', 3)), ('or', ('telling-truth', 3), ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 0)))", "index": 88}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Emma, Abigail, and Aurora. According to Jack, \"Emma is a knight and Aurora is a knight\". \"Aurora is a knight\" - Emma. As Abigail put it, \"Emma is a knave and Abigail is a knight\". Aurora said that Emma is a knave and Abigail is a knave. So who is a knight and who is a knave?", "names": ["Jack", "Emma", "Abigail", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Jack is a knave, Emma is a knave, Abigail is a knight, and Aurora is a knave.", "solution_text_format": "(1) Jack is a knave\n(2) Emma is a knave\n(3) Abigail is a knight\n(4) Aurora is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Emma is a knight and Aurora is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Abigail is a knave.", "Aurora cannot be a knave, because this would contradict the claim of Jack that Emma is a knight and Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Emma.", "Emma cannot be a knave, because this would contradict the claim of Jack that Emma is a knight and Aurora is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Emma is a knight and Aurora is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Jack that Emma is a knight and Aurora is a knight.", "Aurora cannot be a knave, because this would contradict the claim of Emma that Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Emma.", "Assume Emma is a knave. No contradiction is found in their false claim that Aurora is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Emma that Aurora is a knight.", "Assume Aurora is a knave. No contradiction is found in their false claim that Emma is a knave and Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Emma is a knave and Abigail is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 3)), ('telling-truth', 3), ('and', ('lying', 1), ('telling-truth', 2)), ('and', ('lying', 1), ('lying', 2)))", "index": 89}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jackson, Isabella, Olivia, and Mia. Jackson asserted: \"Isabella is a knave or Olivia is a knight\". According to Isabella, \"Jackson is a knave or Mia is a knight\". \"If Olivia is a knight then Mia is a knight,\" Olivia declared. Mia told you that Mia is a knight and Jackson is a knight. So who is a knight and who is a knave?", "names": ["Jackson", "Isabella", "Olivia", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Jackson is a knight, Isabella is a knight, Olivia is a knight, and Mia is a knight.", "solution_text_format": "(1) Jackson is a knight\n(2) Isabella is a knight\n(3) Olivia is a knight\n(4) Mia is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jackson is a knight. No contradiction is found in their claim that Isabella is a knave or Olivia is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Jackson is a knave or Mia is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight and Jackson is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Olivia is a knight then Mia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 2)), ('or', ('lying', 0), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('telling-truth', 0)))", "index": 90}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Zoey, Henry, and Owen. Logan remarked, \"Zoey is a knight and Henry is a knave\". \"If Logan is a knight then Henry is a knave\" - Zoey. Henry remarked, \"Owen is a knight and Owen is a knave\". Owen expressed that Henry is a knave or Logan is a knight. So who is a knight and who is a knave?", "names": ["Logan", "Zoey", "Henry", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, false, true], "solution_text": "Logan is a knight, Zoey is a knight, Henry is a knave, and Owen is a knight.", "solution_text_format": "(1) Logan is a knight\n(2) Zoey is a knight\n(3) Henry is a knave\n(4) Owen is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Zoey is a knight and Henry is a knave.", "Assume Zoey is a knight. No contradiction is found in their claim that If Logan is a knight then Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Logan that Zoey is a knight and Henry is a knave.", "Assume Henry is a knave. No contradiction is found in their false claim that Owen is a knight and Owen is a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Henry is a knave or Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('lying', 2)), ('->', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 3), ('lying', 3)), ('or', ('lying', 2), ('telling-truth', 0)))", "index": 91}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Jackson, Aurora, and Michael. In a statement by Sophia: \"Aurora is not a knave\". Jackson commented, \"Michael is a knave or Sophia is a knight\". \"If Michael is a knave then Sophia is a knight,\" Aurora mentioned. \"If Aurora is a knight then Jackson is a knave,\" Michael claimed. So who is a knight and who is a knave?", "names": ["Sophia", "Jackson", "Aurora", "Michael"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Sophia is a knight, Jackson is a knight, Aurora is a knight, and Michael is a knave.", "solution_text_format": "(1) Sophia is a knight\n(2) Jackson is a knight\n(3) Aurora is a knight\n(4) Michael is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Sophia is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that If Michael is a knave then Sophia is a knight.", "Assume Michael is a knight. No contradiction is found in their claim that If Aurora is a knight then Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Michael that If Aurora is a knight then Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Michael is a knave or Sophia is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Michael.", "Assume Michael is a knave. No contradiction is found in their false claim that If Aurora is a knight then Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that Michael is a knave or Sophia is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 2)), ('or', ('lying', 3), ('telling-truth', 0)), ('->', ('lying', 3), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('lying', 1)))", "index": 92}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aiden, Amelia, Olivia, and Daniel. In Aiden's words: \"If Amelia is a knight then Olivia is a knight\". Amelia told you that Aiden is a knight and Olivia is a knight. \"If Daniel is a knave then Daniel is a knight,\" Olivia declared. Daniel commented, \"Olivia is a knight if and only if Amelia is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Amelia", "Olivia", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Aiden is a knight, Amelia is a knight, Olivia is a knight, and Daniel is a knight.", "solution_text_format": "(1) Aiden is a knight\n(2) Amelia is a knight\n(3) Olivia is a knight\n(4) Daniel is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Aiden is a knight. No contradiction is found in their claim that If Amelia is a knight then Olivia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Aiden is a knight and Olivia is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Daniel is a knave then Daniel is a knight.", "Assume Daniel 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', 1), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('lying', 3), ('telling-truth', 3)), ('<=>', ('telling-truth', 2), ('telling-truth', 1)))", "index": 93}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Aria, Samuel, and Logan. Alexander commented, \"If Aria is a knave then Samuel is a knight\". Aria expressed that Alexander is a knave and Aria is a knight. Samuel stated, \"Aria is a knight and Logan is a knight\". \"Samuel is not a knight,\" Logan mentioned. So who is a knight and who is a knave?", "names": ["Alexander", "Aria", "Samuel", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, false, true], "solution_text": "Alexander is a knave, Aria is a knave, Samuel is a knave, and Logan is a knight.", "solution_text_format": "(1) Alexander is a knave\n(2) Aria is a knave\n(3) Samuel is a knave\n(4) Logan is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that If Aria is a knave then Samuel is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Aria is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Alexander is a knave and Aria is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Logan is a knight.", "Samuel cannot be a knave, because this would contradict the claim of Alexander that If Aria is a knave then Samuel is a knight.", "We have exhausted all possibilities for Samuel and Aria, so let us go back and reconsider Alexander.", "Assume Alexander is a knave. No contradiction is found in their false claim that If Aria is a knave then Samuel is a knight.", "Aria cannot be a knight, because this would contradict the false claim of Alexander that If Aria is a knave then Samuel is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Alexander is a knave and Aria is a knight.", "Samuel cannot be a knight, because this would contradict the false claim of Alexander that If Aria is a knave then Samuel is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Aria is a knight and Logan is a knight.", "Assume Logan is a knight. No contradiction is found in their claim that Samuel is not a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 2)), ('and', ('lying', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 3)), ('not', ('telling-truth', 2)))", "index": 94}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Emma, Sebastian, Alexander, and Jackson. Emma stated, \"If Alexander is a knight then Sebastian is a knight\". \"Jackson is a knight,\" Sebastian mentioned. Alexander asserted: \"Jackson is a knight if and only if Alexander is a knight\". According to Jackson, \"Alexander is not a knave\". So who is a knight and who is a knave?", "names": ["Emma", "Sebastian", "Alexander", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, true], "solution_text": "Emma is a knight, Sebastian is a knight, Alexander is a knight, and Jackson is a knight.", "solution_text_format": "(1) Emma is a knight\n(2) Sebastian is a knight\n(3) Alexander is a knight\n(4) Jackson is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Emma is a knight. No contradiction is found in their claim that If Alexander is a knight then Sebastian is a knight.", "Assume Alexander is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Alexander is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Alexander is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that Jackson is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 3), ('<=>', ('telling-truth', 3), ('telling-truth', 2)), ('not', ('lying', 2)))", "index": 95}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Logan, Amelia, Ava, and Lucas. Logan said, \"Ava is a knight or Amelia is a knight.\" \"If Lucas is a knight then Logan is a knight,\" Amelia claimed. As Ava put it, \"Lucas is a knave\". Lucas was heard saying, \"Ava is a knight if and only if Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Logan", "Amelia", "Ava", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true, true, false], "solution_text": "Logan is a knight, Amelia is a knight, Ava is a knight, and Lucas is a knave.", "solution_text_format": "(1) Logan is a knight\n(2) Amelia is a knight\n(3) Ava is a knight\n(4) Lucas is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Logan is a knight. No contradiction is found in their claim that Ava is a knight or Amelia is a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Lucas is a knave.", "Lucas cannot be a knight, because this would contradict the claim of Ava that Lucas is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Ava is a knight if and only if Lucas is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that If Lucas is a knight then Logan is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('lying', 3), ('<=>', ('telling-truth', 2), ('telling-truth', 3)))", "index": 96}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lucas, Ava, Grace, and Liam. Lucas was heard saying, \"If Grace is a knight then Ava is a knight\". Ava remarked, \"Grace is not a knight\". \"Ava is a knave if and only if Lucas is a knave,\" Grace mentioned. In a statement by Liam: \"Grace is a knave if and only if Grace is a knight\". So who is a knight and who is a knave?", "names": ["Lucas", "Ava", "Grace", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, false], "solution_text": "Lucas is a knave, Ava is a knave, Grace is a knight, and Liam is a knave.", "solution_text_format": "(1) Lucas is a knave\n(2) Ava is a knave\n(3) Grace is a knight\n(4) Liam is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Lucas is a knight. No contradiction is found in their claim that If Grace is a knight then Ava is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Ava is a knave if and only if Lucas is a knave.", "Ava cannot be a knight, because this would contradict the claim of their own that Grace is not a knight.", "Ava cannot be a knave, because this would contradict the claim of Lucas that If Grace is a knight then Ava is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Ava is a knave if and only if Lucas is a knave.", "Ava cannot be a knight, because this would contradict the false claim of Grace that Ava is a knave if and only if Lucas is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Grace is not a knight.", "We have exhausted all possibilities for Ava and Grace, so let us go back and reconsider Lucas.", "Assume Lucas is a knave. No contradiction is found in their false claim that If Grace is a knight then Ava is a knight.", "Assume Grace is a knight. No contradiction is found in their claim that Ava is a knave if and only if Lucas is a knave.", "Ava cannot be a knight, because this would contradict the false claim of Lucas that If Grace is a knight then Ava is a knight.", "Assume Ava is a knave. No contradiction is found in their false claim that Grace is not a knight.", "Liam cannot be a knight, because this would contradict the claim of their own that Grace is a knave if and only if Grace is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Grace is a knight."], "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('<=>', ('lying', 1), ('lying', 0)), ('<=>', ('lying', 2), ('telling-truth', 2)))", "index": 97}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Jack, Isabella, William, and Aurora. In a statement by Jack: \"Isabella is a knight and Aurora is a knight\". In Isabella's words: \"Aurora is a knight if and only if Jack is a knight\". William told you that Aurora is not a knave. According to Aurora, \"If Aurora is a knight then Jack is a knave\". So who is a knight and who is a knave?", "names": ["Jack", "Isabella", "William", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false, true, true], "solution_text": "Jack is a knave, Isabella is a knave, William is a knight, and Aurora is a knight.", "solution_text_format": "(1) Jack is a knave\n(2) Isabella is a knave\n(3) William is a knight\n(4) Aurora is a knight", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Jack is a knight. No contradiction is found in their claim that Isabella is a knight and Aurora is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Jack is a knight.", "Aurora cannot be a knight, because this would contradict the claim of their own that If Aurora is a knight then Jack is a knave.", "Aurora cannot be a knave, because this would contradict the claim of Jack that Isabella is a knight and Aurora is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Isabella.", "Isabella cannot be a knave, because this would contradict the claim of Jack that Isabella is a knight and Aurora is a knight.", "We have exhausted all possibilities for Isabella, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Isabella is a knight and Aurora is a knight.", "Assume Isabella is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Jack is a knight.", "Aurora cannot be a knight, because this would contradict the false claim of Jack that Isabella is a knight and Aurora is a knight.", "Aurora cannot be a knave, because this would contradict the false claim of their own that If Aurora is a knight then Jack is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Jack is a knight.", "Assume Aurora is a knight. No contradiction is found in their claim that If Aurora is a knight then Jack is a knave.", "Assume William is a knight. No contradiction is found in their claim that Aurora is not a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('telling-truth', 3), ('telling-truth', 0)), ('not', ('lying', 3)), ('->', ('telling-truth', 3), ('lying', 0)))", "index": 98}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Aurora, Ella, and Harper. Alexander said that Harper is a knight if and only if Ella is a knave. \"Harper is a knight if and only if Harper is a knave,\" Aurora declared. \"Harper is a knave if and only if Aurora is a knave\" - Ella. As Harper put it, \"Aurora is a knight or Alexander is a knave\". So who is a knight and who is a knave?", "names": ["Alexander", "Aurora", "Ella", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false, true, false], "solution_text": "Alexander is a knight, Aurora is a knave, Ella is a knight, and Harper is a knave.", "solution_text_format": "(1) Alexander is a knight\n(2) Aurora is a knave\n(3) Ella is a knight\n(4) Harper is a knave", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": ["Assume Alexander is a knight. No contradiction is found in their claim that Harper is a knight if and only if Ella is a knave.", "Assume Harper is a knight. No contradiction is found in their claim that Aurora is a knight or Alexander is a knave.", "Aurora 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.", "Aurora cannot be a knave, because this would contradict the claim of Harper that Aurora is a knight or Alexander is a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Harper.", "Assume Harper is a knave. No contradiction is found in their false claim that Aurora is a knight or Alexander is a knave.", "Aurora 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 Aurora is a knave. No contradiction is found in their false claim that Harper is a knight if and only if Harper is a knave.", "Assume Ella is a knight. No contradiction is found in their claim that Harper is a knave if and only if Aurora is a knave."], "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 3), ('lying', 2)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('<=>', ('lying', 3), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 0)))", "index": 99}