test/perturbed_leaf/people2_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 2 inhabitants: Zoey, and Oliver. Zoey remarked, \"Oliver is not a knave\". Oliver stated, \"Oliver is a knight if and only if Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Zoey is a knave, and Oliver is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Zoey is a knight. No contradiction is found in their claim that Oliver is not a knave. Oliver cannot be a knight, because this would contradict the claim of their own that Oliver is a knight if and only if Zoey is a knave. Oliver cannot be a knave, because this would contradict the claim of Zoey that Oliver is not a knave. We have exhausted all possibilities for Oliver, so let us go back and reconsider Zoey. Assume Zoey 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 Zoey that Oliver is not a knave. Assume Oliver is a knave. No contradiction is found in their false claim that Oliver is a knight if and only if Zoey is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 0, "solution_text_format": "(1) Zoey is a knave\n(2) Oliver is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: David, and Jackson. David said that If Jackson is a knave then Jackson is a knave. Jackson stated, \"David is a knave or David is a knight\". So who is a knight and who is a knave?", "names": ["David", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "David is a knight, and Jackson is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume David is a knight. No contradiction is found in their claim that If Jackson is a knave then Jackson is a knave. Assume Jackson is a knight. No contradiction is found in their claim that David is a knave or David is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 0)))", "index": 4, "solution_text_format": "(1) David is a knight\n(2) Jackson is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Matthew, and Jackson. As Matthew put it, \"Jackson is a knave and Jackson is a knight\". \"Matthew is not a knave,\" Jackson claimed. So who is a knight and who is a knave?", "names": ["Matthew", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Matthew is a knave, and 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": "Matthew cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Jackson is a knight. Assume Matthew is a knave. No contradiction is found in their false claim that Jackson is a knave and Jackson is a knight. Jackson cannot be a knight, because this would contradict the claim of their own that Matthew is not a knave. Assume Jackson is a knave. No contradiction is found in their false claim that Matthew is not a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 1)), ('not', ('lying', 0)))", "index": 5, "solution_text_format": "(1) Matthew is a knave\n(2) Jackson is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and Amelia. \"If Amelia is a knight then Olivia is a knight,\" Olivia claimed. Amelia said, \"Olivia is a knight if and only if Olivia is a knave.\" So who is a knight and who is a knave?", "names": ["Olivia", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Olivia is a knight, and Amelia is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Olivia is a knight. No contradiction is found in their claim that If Amelia is a knight then Olivia is a knight. Amelia cannot be a knight, because this would contradict the claim of their own that Olivia is a knight if and only if Olivia is a knave. Assume Amelia is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if Olivia is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 6, "solution_text_format": "(1) Olivia is a knight\n(2) Amelia is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Penelope. Owen asserted: \"Penelope is a knight if and only if Owen is a knight\". Penelope noted, \"Owen is not a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Owen is a knight, and 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 Owen is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Owen is a knight. Assume Penelope is a knight. No contradiction is found in their claim that Owen is not a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('lying', 0)))", "index": 7, "solution_text_format": "(1) Owen is a knight\n(2) Penelope is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Daniel, and Mia. Daniel stated, \"Mia is a knight if and only if Daniel is a knight\". In Mia's words: \"Mia is a knight if and only if Daniel is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Mia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Daniel is a knight, and 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 Daniel is a knight. No contradiction is found in their claim that Mia is a knight if and only if Daniel is a knight. Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight if and only if Daniel is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 8, "solution_text_format": "(1) Daniel is a knight\n(2) Mia is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: James, and Sophia. \"Sophia is not a knight\" - James. Sophia stated, \"James is a knight if and only if James is a knave\". So who is a knight and who is a knave?", "names": ["James", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "James is a knight, and 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 James is a knight. No contradiction is found in their claim that Sophia is not a knight. Sophia cannot be a knight, because this would contradict the claim of James that Sophia is not a knight. Assume Sophia is a knave. No contradiction is found in their false claim that James is a knight if and only if James is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 9, "solution_text_format": "(1) James is a knight\n(2) Sophia is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Joseph, and Harper. Joseph was heard saying, \"Joseph is a knight if and only if Harper is a knave\". Harper stated, \"If Joseph is a knave then Harper is a knight\". So who is a knight and who is a knave?", "names": ["Joseph", "Harper"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Joseph is a knave, and Harper is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Joseph is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Harper is a knave. Harper cannot be a knight, because this would contradict the claim of Joseph that Joseph is a knight if and only if Harper is a knave. Harper cannot be a knave, because this would contradict the false claim of their own that If Joseph is a knave then Harper is a knight. We have exhausted all possibilities for Harper, so let us go back and reconsider Joseph. Assume Joseph is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Harper is a knave. Harper cannot be a knight, because this would contradict the false claim of Joseph that Joseph is a knight if and only if Harper is a knave. Assume Harper is a knave. No contradiction is found in their false claim that If Joseph is a knave then Harper is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 1)))", "index": 10, "solution_text_format": "(1) Joseph is a knave\n(2) Harper is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Matthew, and Aurora. \"Aurora is not a knight,\" Matthew claimed. Aurora noted, \"Aurora is a knight if and only if Matthew is a knave\". So who is a knight and who is a knave?", "names": ["Matthew", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Matthew is a knave, and Aurora is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Matthew is a knight. No contradiction is found in their claim that Aurora is not a knight. Aurora cannot be a knight, because this would contradict the claim of Matthew that Aurora is not a knight. Aurora cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight if and only if Matthew is a knave. We have exhausted all possibilities for Aurora, so let us go back and reconsider Matthew. Assume Matthew is a knave. No contradiction is found in their false claim that Aurora is not a knight. Assume Aurora is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Matthew is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 11, "solution_text_format": "(1) Matthew is a knave\n(2) Aurora is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sebastian, and Aria. \"If Aria is a knight then Aria is a knave\" - Sebastian. In Aria's words: \"Aria is a knight if and only if Sebastian is a knave\". So who is a knight and who is a knave?", "names": ["Sebastian", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Sebastian is a knave, and 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 Sebastian is a knight. No contradiction is found in their claim that If Aria is a knight then Aria is a knave. Aria cannot be a knight, because this would contradict the claim of Sebastian that If Aria is a knight then Aria is a knave. Aria cannot be a knave, because this would contradict the false claim of their own that Aria is a knight if and only if Sebastian is a knave. We have exhausted all possibilities for Aria, so let us go back and reconsider Sebastian. Assume Sebastian is a knave. No contradiction is found in their false claim that If Aria is a knight then Aria is a knave. Assume Aria is a knight. No contradiction is found in their claim that Aria is a knight if and only if Sebastian is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 12, "solution_text_format": "(1) Sebastian is a knave\n(2) Aria is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jackson, and Grace. \"Grace is a knave if and only if Jackson is a knight,\" Jackson claimed. As Grace put it, \"Jackson is not a knight\". So who is a knight and who is a knave?", "names": ["Jackson", "Grace"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Jackson is a knight, and Grace is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Jackson is a knight. No contradiction is found in their claim that Grace is a knave if and only if Jackson is a knight. Grace cannot be a knight, because this would contradict the claim of Jackson that Grace is a knave if and only if Jackson is a knight. Assume Grace is a knave. No contradiction is found in their false claim that Jackson is not a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('not', ('telling-truth', 0)))", "index": 16, "solution_text_format": "(1) Jackson is a knight\n(2) Grace is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aiden, and Lucas. As Aiden put it, \"If Aiden is a knight then Lucas is a knave\". According to Lucas, \"Lucas is a knight and Aiden is a knight\". So who is a knight and who is a knave?", "names": ["Aiden", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Aiden is a knight, and Lucas is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then Lucas is a knave. Lucas cannot be a knight, because this would contradict the claim of Aiden that If Aiden is a knight then Lucas is a knave. Assume Lucas is a knave. No contradiction is found in their false claim that Lucas is a knight and Aiden is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)))", "index": 17, "solution_text_format": "(1) Aiden is a knight\n(2) Lucas is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jack, and Olivia. Jack remarked, \"Olivia is a knight and Olivia is a knight\". \"Jack is a knave or Olivia is a knight,\" Olivia claimed. So who is a knight and who is a knave?", "names": ["Jack", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Jack is a knight, and Olivia is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Jack is a knight. No contradiction is found in their claim that Olivia is a knight and Olivia is a knight. Assume Olivia is a knight. No contradiction is found in their claim that Jack is a knave or Olivia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 1)))", "index": 18, "solution_text_format": "(1) Jack is a knight\n(2) Olivia is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sofia, and Amelia. \"Sofia is a knight and Amelia is a knave,\" Sofia declared. Amelia noted, \"If Sofia is a knight then Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Sofia", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Sofia is a knave, and Amelia is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Sofia is a knight. No contradiction is found in their claim that Sofia is a knight and Amelia is a knave. Amelia cannot be a knight, because this would contradict the claim of Sofia that Sofia is a knight and Amelia is a knave. Amelia cannot be a knave, because this would contradict the false claim of their own that If Sofia is a knight then Sofia is a knight. We have exhausted all possibilities for Amelia, so let us go back and reconsider Sofia. Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight and Amelia is a knave. Assume Amelia is a knight. No contradiction is found in their claim that If Sofia is a knight then Sofia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 0)))", "index": 20, "solution_text_format": "(1) Sofia is a knave\n(2) Amelia is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Logan, and Olivia. Logan was heard saying, \"Logan is a knight\". \"If Olivia is a knight then Logan is a knave\" - Olivia. So who is a knight and who is a knave?", "names": ["Logan", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Logan is a knave, and Olivia is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight. Olivia cannot be a knight, because this would contradict the claim of their own that If Olivia is a knight then Logan is a knave. Olivia cannot be a knave, because this would contradict the false claim of their own that If Olivia is a knight then Logan is a knave. We have exhausted all possibilities for Olivia, so let us go back and reconsider Logan. Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight. Assume Olivia is a knight. No contradiction is found in their claim that If Olivia is a knight then Logan is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 21, "solution_text_format": "(1) Logan is a knave\n(2) Olivia is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Harper, and Daniel. Harper said, \"Daniel is a knave or Daniel is a knight.\" \"Harper is a knave,\" Daniel declared. So who is a knight and who is a knave?", "names": ["Harper", "Daniel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Harper is a knight, and 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 Harper is a knight. No contradiction is found in their claim that Daniel is a knave or Daniel is a knight. Daniel cannot be a knight, because this would contradict the claim of their own that Harper is a knave. Assume Daniel is a knave. No contradiction is found in their false claim that Harper is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('lying', 0))", "index": 22, "solution_text_format": "(1) Harper is a knight\n(2) Daniel is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and Ethan. Liam stated, \"Ethan is a knave if and only if Liam is a knight\". \"Ethan is a knight or Liam is a knave,\" Ethan claimed. So who is a knight and who is a knave?", "names": ["Liam", "Ethan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Liam is a knight, and Ethan is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Liam is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Liam is a knight. Ethan cannot be a knight, because this would contradict the claim of Liam that Ethan is a knave if and only if Liam is a knight. Assume Ethan is a knave. No contradiction is found in their false claim that Ethan is a knight or Liam is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 0)))", "index": 23, "solution_text_format": "(1) Liam is a knight\n(2) Ethan is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Emma. According to Chloe, \"Chloe is a knight if and only if Emma is a knight\". Emma told you that Chloe is a knight. So who is a knight and who is a knave?", "names": ["Chloe", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Chloe is a knight, and Emma is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Emma is a knight. Assume Emma is a knight. No contradiction is found in their claim that Chloe is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 0))", "index": 24, "solution_text_format": "(1) Chloe is a knight\n(2) Emma is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jack, and Emma. Jack commented, \"Emma is a knave if and only if Jack is a knight\". \"Jack is a knight,\" Emma declared. So who is a knight and who is a knave?", "names": ["Jack", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Jack is a knave, and Emma is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Jack is a knight. No contradiction is found in their claim that Emma is a knave if and only if Jack is a knight. Emma cannot be a knight, because this would contradict the claim of Jack that Emma is a knave if and only if Jack is a knight. Emma cannot be a knave, because this would contradict the false claim of their own that Jack 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 knave if and only if Jack is a knight. Emma cannot be a knight, because this would contradict the false claim of Jack that Emma is a knave if and only if Jack is a knight. Assume Emma is a knave. No contradiction is found in their false claim that Jack is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 0)), ('telling-truth', 0))", "index": 25, "solution_text_format": "(1) Jack is a knave\n(2) Emma is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Emily, and Ella. \"Emily is a knight,\" Emily mentioned. Ella said that If Ella is a knight then Emily is a knight. So who is a knight and who is a knave?", "names": ["Emily", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Emily is a knight, and Ella is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight. Assume Ella is a knight. No contradiction is found in their claim that If Ella is a knight then Emily is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 0), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 26, "solution_text_format": "(1) Emily is a knight\n(2) Ella is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Riley, and Lucas. In Riley's words: \"Lucas is a knight or Riley is a knight\". In a statement by Lucas: \"Riley is a knave if and only if Lucas is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Riley is a knave, and Lucas is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Riley is a knight. No contradiction is found in their claim that Lucas is a knight or Riley is a knight. Lucas cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Lucas is a knight. Lucas cannot be a knave, because this would contradict the false claim of their own that Riley is a knave if and only if Lucas is a knight. We have exhausted all possibilities for Lucas, so let us go back and reconsider Riley. Assume Riley is a knave. No contradiction is found in their false claim that Lucas is a knight or Riley is a knight. Lucas cannot be a knight, because this would contradict the false claim of Riley that Lucas is a knight or Riley is a knight. Assume Lucas is a knave. No contradiction is found in their false claim that Riley is a knave if and only if Lucas is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 27, "solution_text_format": "(1) Riley is a knave\n(2) Lucas is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and Samuel. Zoey said, \"Samuel is a knight or Samuel is a knight.\" In a statement by Samuel: \"Zoey is a knave if and only if Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Samuel"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Zoey is a knave, and Samuel is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Zoey is a knight. No contradiction is found in their claim that Samuel is a knight or Samuel is a knight. Samuel cannot be a knight, because this would contradict the claim of their own that Zoey is a knave if and only if Zoey is a knight. Samuel cannot be a knave, because this would contradict the claim of Zoey that Samuel is a knight or Samuel is a knight. We have exhausted all possibilities for Samuel, so let us go back and reconsider Zoey. Assume Zoey is a knave. No contradiction is found in their false claim that Samuel is a knight or Samuel is a knight. Samuel cannot be a knight, because this would contradict the false claim of Zoey that Samuel is a knight or Samuel is a knight. Assume Samuel is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Zoey is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 28, "solution_text_format": "(1) Zoey is a knave\n(2) Samuel is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Daniel, and Evelyn. \"If Evelyn is a knave then Daniel is a knight,\" Daniel declared. Evelyn stated, \"Evelyn is a knight if and only if Evelyn is a knight\". So who is a knight and who is a knave?", "names": ["Daniel", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Daniel is a knight, and Evelyn is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Daniel is a knight. No contradiction is found in their claim that If Evelyn is a knave then Daniel is a knight. Assume Evelyn is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Evelyn is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 1)))", "index": 31, "solution_text_format": "(1) Daniel is a knight\n(2) Evelyn is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Chloe. According to Owen, \"Chloe is not a knave\". Chloe commented, \"Owen is a knight if and only if Owen is a knave\". So who is a knight and who is a knave?", "names": ["Owen", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Owen is a knave, and Chloe is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Owen is a knight. No contradiction is found in their claim that Chloe is not a knave. Chloe cannot be a knight, because this would contradict the claim of their own that Owen is a knight if and only if Owen is a knave. Chloe cannot be a knave, because this would contradict the claim of Owen that Chloe is not a knave. We have exhausted all possibilities for Chloe, so let us go back and reconsider Owen. Assume Owen is a knave. No contradiction is found in their false claim that Chloe is not a knave. Chloe cannot be a knight, because this would contradict the false claim of Owen that Chloe is not a knave. Assume Chloe is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Owen is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 32, "solution_text_format": "(1) Owen is a knave\n(2) Chloe is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and Ella. \"If Olivia is a knight then Ella is a knight,\" Olivia mentioned. Ella said that Ella is a knight or Olivia is a knave. So who is a knight and who is a knave?", "names": ["Olivia", "Ella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Olivia is a knight, and Ella is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Olivia is a knight. No contradiction is found in their claim that If Olivia is a knight then Ella is a knight. Assume Ella is a knight. No contradiction is found in their claim that Ella is a knight or Olivia is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 0)))", "index": 33, "solution_text_format": "(1) Olivia is a knight\n(2) Ella is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Abigail, and Benjamin. Abigail noted, \"Benjamin is a knight or Benjamin is a knave\". In a statement by Benjamin: \"Abigail is a knight\". So who is a knight and who is a knave?", "names": ["Abigail", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Abigail is a knight, and Benjamin is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Abigail is a knight. No contradiction is found in their claim that Benjamin is a knight or Benjamin is a knave. Assume Benjamin is a knight. No contradiction is found in their claim that Abigail is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('telling-truth', 0))", "index": 35, "solution_text_format": "(1) Abigail is a knight\n(2) Benjamin is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and William. Zoey commented, \"William is not a knave\". \"William is a knight if and only if Zoey is a knight,\" William declared. So who is a knight and who is a knave?", "names": ["Zoey", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Zoey is a knight, and 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 Zoey is a knight. No contradiction is found in their claim that William is not a knave. Assume William is a knight. No contradiction is found in their claim that William is a knight if and only if Zoey is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))", "index": 36, "solution_text_format": "(1) Zoey is a knight\n(2) William is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Evelyn, and Aurora. \"Aurora is a knight or Aurora is a knave\" - Evelyn. \"Evelyn is not a knight\" - Aurora. So who is a knight and who is a knave?", "names": ["Evelyn", "Aurora"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Evelyn is a knight, and 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 Evelyn is a knight. No contradiction is found in their claim that Aurora is a knight or Aurora is a knave. Aurora cannot be a knight, because this would contradict the claim of their own that Evelyn is not a knight. Assume Aurora is a knave. No contradiction is found in their false claim that Evelyn is not a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('not', ('telling-truth', 0)))", "index": 37, "solution_text_format": "(1) Evelyn is a knight\n(2) Aurora is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jacob, and Victoria. \"Jacob is a knight if and only if Jacob is a knight,\" Jacob claimed. Victoria was heard saying, \"Victoria is a knight or Jacob is a knight\". So who is a knight and who is a knave?", "names": ["Jacob", "Victoria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Jacob is a knight, and 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 Jacob is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Jacob is a knight. Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight or Jacob is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('telling-truth', 0)))", "index": 38, "solution_text_format": "(1) Jacob is a knight\n(2) Victoria is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aiden, and Lily. Aiden asserted: \"Lily is a knight\". Lily stated, \"Aiden is a knight and Aiden is a knave\". So who is a knight and who is a knave?", "names": ["Aiden", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Aiden is a knave, and Lily is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Aiden is a knight. No contradiction is found in their claim that Lily is a knight. Lily cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Aiden is a knave. Lily cannot be a knave, because this would contradict the claim of Aiden that Lily is a knight. We have exhausted all possibilities for Lily, so let us go back and reconsider Aiden. Assume Aiden is a knave. No contradiction is found in their false claim that Lily is a knight. Lily cannot be a knight, because this would contradict the false claim of Aiden that Lily is a knight. Assume Lily is a knave. No contradiction is found in their false claim that Aiden is a knight and Aiden is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 39, "solution_text_format": "(1) Aiden is a knave\n(2) Lily is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Jacob. Ethan said, \"Jacob is a knave if and only if Jacob is a knave.\" Jacob asserted: \"Ethan is a knave\". So who is a knight and who is a knave?", "names": ["Ethan", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Ethan is a knight, and Jacob is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Ethan is a knight. No contradiction is found in their claim that Jacob is a knave if and only if Jacob is a knave. Jacob cannot be a knight, because this would contradict the claim of their own that Ethan is a knave. Assume Jacob is a knave. No contradiction is found in their false claim that Ethan is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('lying', 1)), ('lying', 0))", "index": 42, "solution_text_format": "(1) Ethan is a knight\n(2) Jacob is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Grace, and Jackson. Grace said that Grace is a knight if and only if Jackson is a knave. Jackson noted, \"Grace is a knight if and only if Jackson is a knight\". So who is a knight and who is a knave?", "names": ["Grace", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Grace is a knight, and 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 Grace is a knight. No contradiction is found in their claim that Grace is a knight if and only if Jackson is a knave. Jackson cannot be a knight, because this would contradict the claim of Grace that Grace is a knight if and only if Jackson is a knave. Assume Jackson is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Jackson is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 44, "solution_text_format": "(1) Grace is a knight\n(2) Jackson is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Chloe. In a statement by Ethan: \"Chloe is a knave or Ethan is a knight\". In a statement by Chloe: \"Ethan is a knight and Ethan is a knight\". So who is a knight and who is a knave?", "names": ["Ethan", "Chloe"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Ethan is a knight, and 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 Ethan is a knight. No contradiction is found in their claim that Chloe is a knave or Ethan is a knight. Assume Chloe is a knight. No contradiction is found in their claim that Ethan is a knight and Ethan is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 0)))", "index": 45, "solution_text_format": "(1) Ethan is a knight\n(2) Chloe is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Grace, and Zoey. \"Zoey is a knave or Zoey is a knight,\" Grace mentioned. \"Grace is a knight,\" Zoey claimed. So who is a knight and who is a knave?", "names": ["Grace", "Zoey"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Grace is a knight, and Zoey is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Grace is a knight. No contradiction is found in their claim that Zoey is a knave or Zoey is a knight. Assume Zoey is a knight. No contradiction is found in their claim that Grace is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('telling-truth', 0))", "index": 46, "solution_text_format": "(1) Grace is a knight\n(2) Zoey is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Noah, and Aria. Noah noted, \"Aria is a knight and Noah is a knight\". According to Aria, \"Noah is a knave and Noah is a knave\". So who is a knight and who is a knave?", "names": ["Noah", "Aria"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Noah is a knave, and 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 Noah is a knight. No contradiction is found in their claim that Aria is a knight and Noah is a knight. Aria cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Noah is a knave. Aria cannot be a knave, because this would contradict the claim of Noah that Aria is a knight and Noah is a knight. We have exhausted all possibilities for 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 and Noah is a knight. Assume Aria is a knight. No contradiction is found in their claim that Noah is a knave and Noah is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 0), ('lying', 0)))", "index": 47, "solution_text_format": "(1) Noah is a knave\n(2) Aria is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Alexander. \"If Alexander is a knight then Alexander is a knave,\" Owen claimed. Alexander remarked, \"Alexander is a knight if and only if Alexander is a knight\". So who is a knight and who is a knave?", "names": ["Owen", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Owen is a knave, and Alexander is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Owen is a knight. No contradiction is found in their claim that If Alexander is a knight then Alexander is a knave. Alexander cannot be a knight, because this would contradict the claim of Owen that If Alexander is a knight then Alexander is a knave. Alexander cannot be a knave, because this would contradict the false claim of their own that Alexander 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 Owen. Assume Owen is a knave. No contradiction is found in their false claim that If Alexander is a knight then Alexander is a knave. Assume Alexander is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Alexander is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 1)))", "index": 48, "solution_text_format": "(1) Owen is a knave\n(2) Alexander is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Joseph. \"If Joseph is a knight then Joseph is a knave,\" Avery mentioned. Joseph stated, \"Avery is a knave if and only if Avery is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Joseph"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Avery is a knave, and 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 Avery is a knight. No contradiction is found in their claim that If Joseph is a knight then Joseph is a knave. Joseph cannot be a knight, because this would contradict the claim of Avery that If Joseph is a knight then Joseph is a knave. Joseph cannot be a knave, because this would contradict the false claim of their own that Avery is a knave if and only if Avery is a knave. We have exhausted all possibilities for Joseph, so let us go back and reconsider Avery. Assume Avery is a knave. No contradiction is found in their false claim that If Joseph is a knight then Joseph is a knave. Assume Joseph is a knight. No contradiction is found in their claim that Avery is a knave if and only if Avery is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('lying', 0), ('lying', 0)))", "index": 49, "solution_text_format": "(1) Avery is a knave\n(2) Joseph is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Noah, and Benjamin. Noah expressed that Benjamin is not a knave. Benjamin said that Noah is a knight if and only if Noah is a knight. So who is a knight and who is a knave?", "names": ["Noah", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Noah is a knight, and 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 Noah 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 Noah is a knight if and only if Noah is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 0)))", "index": 51, "solution_text_format": "(1) Noah is a knight\n(2) Benjamin is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Elizabeth, and Sophia. Elizabeth told you that Sophia is a knave or Elizabeth is a knight. \"Sophia is a knight if and only if Elizabeth is a knave\" - Sophia. So who is a knight and who is a knave?", "names": ["Elizabeth", "Sophia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Elizabeth is a knave, and Sophia is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Elizabeth is a knight. No contradiction is found in their claim that Sophia is a knave or Elizabeth is a knight. Sophia cannot be a knight, because this would contradict the claim of their own that Sophia is a knight if and only if Elizabeth is a knave. Sophia cannot be a knave, because this would contradict the false claim of their own that Sophia is a knight if and only if Elizabeth is a knave. We have exhausted all possibilities for Sophia, so let us go back and reconsider Elizabeth. Assume Elizabeth is a knave. No contradiction is found in their false claim that Sophia is a knave or Elizabeth is a knight. Assume Sophia is a knight. No contradiction is found in their claim that Sophia is a knight if and only if Elizabeth is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 52, "solution_text_format": "(1) Elizabeth is a knave\n(2) Sophia is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and Sebastian. William said that Sebastian is a knave. Sebastian was heard saying, \"William is a knight or William is a knave\". So who is a knight and who is a knave?", "names": ["William", "Sebastian"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "William is a knave, and Sebastian is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume William is a knight. No contradiction is found in their claim that Sebastian is a knave. Sebastian cannot be a knight, because this would contradict the claim of William that Sebastian is a knave. Sebastian cannot be a knave, because this would contradict the false claim of their own that William is a knight or William is a knave. We have exhausted all possibilities for Sebastian, so let us go back and reconsider William. Assume William is a knave. No contradiction is found in their false claim that Sebastian is a knave. Assume Sebastian is a knight. No contradiction is found in their claim that William is a knight or William is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 53, "solution_text_format": "(1) William is a knave\n(2) Sebastian is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and Evelyn. Liam said, \"Evelyn is a knight.\" \"Liam is a knave if and only if Liam is a knight,\" Evelyn claimed. So who is a knight and who is a knave?", "names": ["Liam", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Liam is a knave, and Evelyn is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Liam is a knight. No contradiction is found in their claim that Evelyn is a knight. Evelyn cannot be a knight, because this would contradict the claim of their own that Liam is a knave if and only if Liam is a knight. Evelyn cannot be a knave, because this would contradict the claim of Liam that Evelyn is a knight. We have exhausted all possibilities for Evelyn, so let us go back and reconsider Liam. Assume Liam is a knave. No contradiction is found in their false claim that Evelyn is a knight. Evelyn cannot be a knight, because this would contradict the false claim of Liam that Evelyn is a knight. Assume Evelyn is a knave. No contradiction is found in their false claim that Liam is a knave if and only if Liam is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('lying', 0), ('telling-truth', 0)))", "index": 54, "solution_text_format": "(1) Liam is a knave\n(2) Evelyn is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Scarlett, and Jackson. Scarlett was heard saying, \"If Jackson is a knight then Scarlett is a knight\". \"If Jackson is a knight then Scarlett is a knight,\" Jackson claimed. So who is a knight and who is a knave?", "names": ["Scarlett", "Jackson"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Scarlett is a knight, and 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 Scarlett is a knight. No contradiction is found in their claim that If Jackson is a knight then Scarlett is a knight. Assume Jackson is a knight. No contradiction is found in their claim that If Jackson is a knight then Scarlett is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 0)))", "index": 56, "solution_text_format": "(1) Scarlett is a knight\n(2) Jackson is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Penelope, and Amelia. \"If Amelia is a knave then Penelope is a knight\" - Penelope. \"Penelope is a knave if and only if Amelia is a knight\" - Amelia. So who is a knight and who is a knave?", "names": ["Penelope", "Amelia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Penelope is a knave, and Amelia is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Penelope is a knight. No contradiction is found in their claim that If Amelia is a knave then Penelope is a knight. Amelia cannot be a knight, because this would contradict the claim of their own that Penelope is a knave if and only if Amelia is a knight. Amelia cannot be a knave, because this would contradict the false claim of their own that Penelope is a knave if and only if Amelia is a knight. We have exhausted all possibilities for Amelia, so let us go back and reconsider Penelope. Assume Penelope is a knave. No contradiction is found in their false claim that If Amelia is a knave then Penelope is a knight. Amelia cannot be a knight, because this would contradict the false claim of Penelope that If Amelia is a knave then Penelope is a knight. Assume Amelia is a knave. No contradiction is found in their false claim that Penelope is a knave if and only if Amelia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 57, "solution_text_format": "(1) Penelope is a knave\n(2) Amelia is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Penelope, and Alexander. According to Penelope, \"Alexander is a knave if and only if Alexander is a knight\". Alexander noted, \"Penelope is a knave\". So who is a knight and who is a knave?", "names": ["Penelope", "Alexander"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Penelope is a knave, and Alexander is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Penelope cannot be a knight, because this would contradict the claim of their own that Alexander is a knave if and only if Alexander is a knight. Assume Penelope is a knave. No contradiction is found in their false claim that Alexander is a knave if and only if Alexander is a knight. Assume Alexander is a knight. No contradiction is found in their claim that Penelope is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('lying', 0))", "index": 59, "solution_text_format": "(1) Penelope is a knave\n(2) Alexander is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Isabella, and Emma. \"Isabella is a knight and Emma is a knight\" - Isabella. In Emma's words: \"Isabella is a knight if and only if Emma is a knight\". So who is a knight and who is a knave?", "names": ["Isabella", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Isabella is a knight, and Emma is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight and Emma is a knight. Assume Emma is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Emma is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 60, "solution_text_format": "(1) Isabella is a knight\n(2) Emma is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Benjamin. Ethan was heard saying, \"If Benjamin is a knight then Ethan is a knight\". Benjamin expressed that Ethan is a knight and Ethan is a knight. So who is a knight and who is a knave?", "names": ["Ethan", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Ethan is a knight, and Benjamin is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Ethan is a knight. No contradiction is found in their claim that If Benjamin is a knight then Ethan is a knight. Assume Benjamin is a knight. No contradiction is found in their claim that Ethan is a knight and Ethan is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 0)))", "index": 61, "solution_text_format": "(1) Ethan is a knight\n(2) Benjamin is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Scarlett, and Charlotte. Scarlett expressed that Scarlett is a knight if and only if Charlotte is a knight. \"Scarlett is a knight if and only if Charlotte is a knight\" - Charlotte. So who is a knight and who is a knave?", "names": ["Scarlett", "Charlotte"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Scarlett is a knight, and 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 Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Charlotte is a knight. Assume Charlotte is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Charlotte is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))", "index": 62, "solution_text_format": "(1) Scarlett is a knight\n(2) Charlotte is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Henry, and Noah. \"Noah is a knave and Henry is a knight,\" Henry claimed. As Noah put it, \"Henry is a knight or Henry is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Noah"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Henry is a knave, and 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 Henry is a knight. No contradiction is found in their claim that Noah is a knave and Henry is a knight. Noah cannot be a knight, because this would contradict the claim of Henry that Noah is a knave and Henry is a knight. Noah cannot be a knave, because this would contradict the false claim of their own that Henry is a knight or Henry is a knight. We have exhausted all possibilities for Noah, so let us go back and reconsider Henry. Assume Henry is a knave. No contradiction is found in their false claim that Noah is a knave and Henry is a knight. Noah cannot be a knight, because this would contradict the claim of their own that Henry is a knight or Henry is a knight. Assume Noah is a knave. No contradiction is found in their false claim that Henry is a knight or Henry is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('lying', 1), ('telling-truth', 0)), ('or', ('telling-truth', 0), ('telling-truth', 0)))", "index": 65, "solution_text_format": "(1) Henry is a knave\n(2) Noah is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Elizabeth, and Jacob. Elizabeth asserted: \"Jacob is a knave\". Jacob told you that Jacob is a knight if and only if Jacob is a knight. So who is a knight and who is a knave?", "names": ["Elizabeth", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Elizabeth is a knave, and 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 Elizabeth is a knight. No contradiction is found in their claim that Jacob is a knave. Jacob cannot be a knight, because this would contradict the claim of Elizabeth that Jacob is a knave. Jacob cannot be a knave, because this would contradict the false claim of their own that Jacob is a knight if and only if Jacob is a knight. We have exhausted all possibilities for Jacob, so let us go back and reconsider Elizabeth. Assume Elizabeth is a knave. No contradiction is found in their false claim that Jacob is a knave. Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Jacob is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 1)))", "index": 68, "solution_text_format": "(1) Elizabeth is a knave\n(2) Jacob is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Jack. Avery said, \"Avery is a knight if and only if Jack is a knave.\" As Jack put it, \"If Avery is a knave then Avery is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Avery is a knave, and 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 Avery is a knight. No contradiction is found in their claim that Avery is a knight if and only if Jack is a knave. Jack cannot be a knight, because this would contradict the claim of Avery that Avery is a knight if and only if Jack is a knave. Jack cannot be a knave, because this would contradict the false claim of their own that If Avery is a knave then Avery is a knight. We have exhausted all possibilities for Jack, so let us go back and reconsider Avery. Assume Avery is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Jack is a knave. Jack cannot be a knight, because this would contradict the false claim of Avery that Avery is a knight if and only if Jack is a knave. Assume Jack is a knave. No contradiction is found in their false claim that If Avery is a knave then Avery is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 0)))", "index": 69, "solution_text_format": "(1) Avery is a knave\n(2) Jack is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and James. Zoey noted, \"James is not a knave\". James was heard saying, \"Zoey is a knight and Zoey is a knave\". So who is a knight and who is a knave?", "names": ["Zoey", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Zoey is a knave, and James is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Zoey is a knight. No contradiction is found in their claim that James is not a knave. James cannot be a knight, because this would contradict the claim of their own that Zoey is a knight and Zoey is a knave. James cannot be a knave, because this would contradict the claim of Zoey that James is not a knave. We have exhausted all possibilities for James, so let us go back and reconsider Zoey. Assume Zoey 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 Zoey that James is not a knave. Assume James is a knave. No contradiction is found in their false claim that Zoey is a knight and Zoey is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 70, "solution_text_format": "(1) Zoey is a knave\n(2) James is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Penelope. In a statement by Ella: \"Penelope is a knight if and only if Penelope is a knight\". According to Penelope, \"If Ella is a knight then Ella is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Ella is a knight, and 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 Ella is a knight. No contradiction is found in their claim that Penelope is a knight if and only if Penelope is a knight. Penelope cannot be a knight, because this would contradict the claim of their own that If Ella is a knight then Ella is a knave. Assume Penelope is a knave. No contradiction is found in their false claim that If Ella is a knight then Ella is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('lying', 0)))", "index": 71, "solution_text_format": "(1) Ella is a knight\n(2) Penelope is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Isabella, and Owen. Isabella asserted: \"Owen is a knight if and only if Isabella is a knight\". \"Isabella is a knight and Owen is a knight,\" Owen claimed. So who is a knight and who is a knave?", "names": ["Isabella", "Owen"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Isabella is a knight, and 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 Isabella is a knight. No contradiction is found in their claim that Owen is a knight if and only if Isabella is a knight. Assume Owen is a knight. No contradiction is found in their claim that Isabella is a knight and Owen is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 1)))", "index": 73, "solution_text_format": "(1) Isabella is a knight\n(2) Owen is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Lily. Ella said that Lily is not a knave. In a statement by Lily: \"Ella is a knave and Ella is a knight\". So who is a knight and who is a knave?", "names": ["Ella", "Lily"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Ella is a knave, and Lily is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Ella is a knight. No contradiction is found in their claim that Lily is not a knave. Lily cannot be a knight, because this would contradict the claim of their own that Ella is a knave and Ella is a knight. Lily cannot be a knave, because this would contradict the claim of Ella that Lily is not a knave. We have exhausted all possibilities for Lily, so let us go back and reconsider Ella. Assume Ella is a knave. No contradiction is found in their false claim that Lily is not a knave. Lily cannot be a knight, because this would contradict the false claim of Ella that Lily is not a knave. Assume Lily is a knave. No contradiction is found in their false claim that Ella is a knave and Ella is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 0)))", "index": 74, "solution_text_format": "(1) Ella is a knave\n(2) Lily is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Isabella, and Elizabeth. Isabella commented, \"Isabella is a knight if and only if Isabella is a knight\". Elizabeth remarked, \"Isabella is a knave\". So who is a knight and who is a knave?", "names": ["Isabella", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Isabella is a knight, and 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 Isabella is a knight. No contradiction is found in their claim that Isabella is a knight if and only if Isabella is a knight. Elizabeth cannot be a knight, because this would contradict the claim of their own that Isabella is a knave. Assume Elizabeth is a knave. No contradiction is found in their false claim that Isabella is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 0)), ('lying', 0))", "index": 76, "solution_text_format": "(1) Isabella is a knight\n(2) Elizabeth is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Oliver. \"Oliver is a knight or Oliver is a knave\" - Chloe. Oliver said that Chloe is a knave. So who is a knight and who is a knave?", "names": ["Chloe", "Oliver"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Chloe is a knight, and Oliver is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Chloe is a knight. No contradiction is found in their claim that Oliver is a knight or Oliver is a knave. Oliver cannot be a knight, because this would contradict the claim of their own that Chloe is a knave. Assume Oliver is a knave. No contradiction is found in their false claim that Chloe is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('lying', 0))", "index": 77, "solution_text_format": "(1) Chloe is a knight\n(2) Oliver is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and Liam. William said that Liam is a knight. Liam commented, \"William is a knave and William is a knight\". So who is a knight and who is a knave?", "names": ["William", "Liam"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "William is a knave, and 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 William is a knight. No contradiction is found in their claim that Liam is a knight. Liam cannot be a knight, because this would contradict the claim of their own that William is a knave and William is a knight. Liam cannot be a knave, because this would contradict the claim of William that Liam is a knight. We have exhausted all possibilities for Liam, so let us go back and reconsider William. Assume William is a knave. No contradiction is found in their false claim that Liam is a knight. Liam cannot be a knight, because this would contradict the false claim of William that Liam is a knight. Assume Liam is a knave. No contradiction is found in their false claim that William is a knave and William is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('and', ('lying', 0), ('telling-truth', 0)))", "index": 78, "solution_text_format": "(1) William is a knave\n(2) Liam is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Henry, and Jack. Henry said that Jack is a knave or Henry is a knight. Jack noted, \"Henry is a knave if and only if Jack is a knight\". So who is a knight and who is a knave?", "names": ["Henry", "Jack"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Henry is a knave, and 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 Henry is a knight. No contradiction is found in their claim that Jack is a knave or Henry is a knight. Jack cannot be a knight, because this would contradict the claim of their own that Henry is a knave if and only if Jack is a knight. Jack cannot be a knave, because this would contradict the false claim of their own that Henry is a knave if and only if Jack is a knight. We have exhausted all possibilities for Jack, so let us go back and reconsider Henry. Assume Henry is a knave. No contradiction is found in their false claim that Jack is a knave or Henry is a knight. Assume Jack is a knight. No contradiction is found in their claim that Henry is a knave if and only if Jack is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)))", "index": 79, "solution_text_format": "(1) Henry is a knave\n(2) Jack is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Benjamin, and Olivia. In a statement by Benjamin: \"Olivia is a knave\". In a statement by Olivia: \"Benjamin is a knight and Benjamin is a knave\". So who is a knight and who is a knave?", "names": ["Benjamin", "Olivia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Benjamin is a knight, and 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 Benjamin is a knight. No contradiction is found in their claim that Olivia is a knave. Olivia cannot be a knight, because this would contradict the claim of Benjamin that Olivia is a knave. Assume Olivia is a knave. No contradiction is found in their false claim that Benjamin is a knight and Benjamin is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('lying', 1), ('and', ('telling-truth', 0), ('lying', 0)))", "index": 80, "solution_text_format": "(1) Benjamin is a knight\n(2) Olivia is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Victoria, and Evelyn. As Victoria put it, \"Evelyn is a knight if and only if Evelyn is a knave\". Evelyn commented, \"Victoria is not a knave\". So who is a knight and who is a knave?", "names": ["Victoria", "Evelyn"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Victoria is a knave, and Evelyn is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Victoria cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight if and only if Evelyn is a knave. Assume Victoria is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Evelyn is a knave. Evelyn cannot be a knight, because this would contradict the claim of their own that Victoria is not a knave. Assume Evelyn is a knave. No contradiction is found in their false claim that Victoria is not a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 0)))", "index": 81, "solution_text_format": "(1) Victoria is a knave\n(2) Evelyn is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Samuel, and Sofia. As Samuel put it, \"If Samuel is a knight then Sofia is a knave\". Sofia remarked, \"If Samuel is a knight then Sofia is a knight\". So who is a knight and who is a knave?", "names": ["Samuel", "Sofia"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Samuel is a knight, and Sofia is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Samuel is a knight. No contradiction is found in their claim that If Samuel is a knight then Sofia is a knave. Sofia cannot be a knight, because this would contradict the claim of Samuel that If Samuel is a knight then Sofia is a knave. Assume Sofia is a knave. No contradiction is found in their false claim that If Samuel is a knight then Sofia is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)))", "index": 82, "solution_text_format": "(1) Samuel is a knight\n(2) Sofia is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Logan. Avery told you that If Logan is a knight then Logan is a knave. As Logan put it, \"Avery is a knight if and only if Avery is a knight\". So who is a knight and who is a knave?", "names": ["Avery", "Logan"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Avery is a knave, and 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 Avery is a knight. No contradiction is found in their claim that If Logan is a knight then Logan is a knave. Logan cannot be a knight, because this would contradict the claim of Avery that If Logan is a knight then Logan is a knave. Logan cannot be a knave, because this would contradict the false claim of their own that Avery is a knight if and only if Avery is a knight. We have exhausted all possibilities for Logan, so let us go back and reconsider Avery. Assume Avery is a knave. No contradiction is found in their false claim that If Logan is a knight then Logan is a knave. Assume Logan is a knight. No contradiction is found in their claim that Avery is a knight if and only if Avery is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 0)))", "index": 83, "solution_text_format": "(1) Avery is a knave\n(2) Logan is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: David, and William. David was heard saying, \"William is not a knight\". William expressed that David is a knight or David is a knave. So who is a knight and who is a knave?", "names": ["David", "William"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "David is a knave, and 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 David 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 David that William is not a knight. William cannot be a knave, because this would contradict the false claim of their own that David is a knight or David is a knave. We have exhausted all possibilities for William, so let us go back and reconsider David. Assume David is a knave. No contradiction is found in their false claim that William is not a knight. Assume William is a knight. No contradiction is found in their claim that David is a knight or David is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('not', ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 84, "solution_text_format": "(1) David is a knave\n(2) William is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Michael, and Benjamin. As Michael put it, \"Benjamin is a knight and Michael is a knight\". According to Benjamin, \"If Benjamin is a knight then Michael is a knave\". So who is a knight and who is a knave?", "names": ["Michael", "Benjamin"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Michael is a knave, and Benjamin is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Michael is a knight. No contradiction is found in their claim that Benjamin is a knight and Michael is a knight. Benjamin cannot be a knight, because this would contradict the claim of their own that If Benjamin is a knight then Michael is a knave. Benjamin cannot be a knave, because this would contradict the claim of Michael that Benjamin is a knight and Michael is a knight. We have exhausted all possibilities for Benjamin, so let us go back and reconsider Michael. Assume Michael is a knave. No contradiction is found in their false claim that Benjamin is a knight and Michael is a knight. Assume Benjamin is a knight. No contradiction is found in their claim that If Benjamin is a knight then Michael is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 0)))", "index": 86, "solution_text_format": "(1) Michael is a knave\n(2) Benjamin is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Emily, and Luke. \"If Luke is a knave then Luke is a knight,\" Emily claimed. Luke was heard saying, \"Emily is a knave if and only if Emily is a knave\". So who is a knight and who is a knave?", "names": ["Emily", "Luke"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Emily is a knight, and Luke is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Emily is a knight. No contradiction is found in their claim that If Luke is a knave then Luke is a knight. Assume Luke is a knight. No contradiction is found in their claim that Emily is a knave if and only if Emily is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 0), ('lying', 0)))", "index": 87, "solution_text_format": "(1) Emily is a knight\n(2) Luke is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Amelia, and Jacob. Amelia commented, \"If Jacob is a knight then Amelia is a knight\". \"Jacob is a knight if and only if Amelia is a knave,\" Jacob declared. So who is a knight and who is a knave?", "names": ["Amelia", "Jacob"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Amelia is a knave, and Jacob is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Amelia is a knight. No contradiction is found in their claim that If Jacob is a knight then Amelia is a knight. Jacob cannot be a knight, because this would contradict the claim of their own that Jacob is a knight if and only if Amelia is a knave. Jacob cannot be a knave, because this would contradict the false claim of their own that Jacob is a knight if and only if Amelia is a knave. We have exhausted all possibilities for Jacob, so let us go back and reconsider Amelia. Assume Amelia is a knave. No contradiction is found in their false claim that If Jacob is a knight then Amelia is a knight. Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight if and only if Amelia is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 88, "solution_text_format": "(1) Amelia is a knave\n(2) Jacob is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aiden, and Emma. Aiden noted, \"If Aiden is a knight then Emma is a knight\". \"Emma is a knight,\" Emma mentioned. So who is a knight and who is a knave?", "names": ["Aiden", "Emma"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Aiden is a knight, and Emma is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then 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": "(('->', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 1))", "index": 89, "solution_text_format": "(1) Aiden is a knight\n(2) Emma is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and James. Olivia said, \"Olivia is a knight or James is a knight.\" James was heard saying, \"Olivia is a knave if and only if Olivia is a knave\". So who is a knight and who is a knave?", "names": ["Olivia", "James"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Olivia is a knight, and James is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight or James is a knight. Assume James is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Olivia is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 0), ('lying', 0)))", "index": 90, "solution_text_format": "(1) Olivia is a knight\n(2) James is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Samuel, and Penelope. Samuel remarked, \"Penelope is a knight or Penelope is a knave\". Penelope said that Samuel is not a knave. So who is a knight and who is a knave?", "names": ["Samuel", "Penelope"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Samuel is a knight, and Penelope is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Samuel is a knight. No contradiction is found in their claim that Penelope is a knight or Penelope is a knave. Assume Penelope is a knight. No contradiction is found in their claim that Samuel is not a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('or', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 0)))", "index": 91, "solution_text_format": "(1) Samuel is a knight\n(2) Penelope is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Mason. Ella noted, \"If Mason is a knight then Mason is a knight\". Mason asserted: \"Ella is a knight or Ella is a knave\". So who is a knight and who is a knave?", "names": ["Ella", "Mason"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, true], "solution_text": "Ella is a knight, and Mason is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Ella is a knight. No contradiction is found in their claim that If Mason is a knight then Mason is a knight. Assume Mason is a knight. No contradiction is found in their claim that Ella is a knight or Ella is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('telling-truth', 1)), ('or', ('telling-truth', 0), ('lying', 0)))", "index": 92, "solution_text_format": "(1) Ella is a knight\n(2) Mason is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and Elizabeth. Olivia asserted: \"Elizabeth is a knight if and only if Olivia is a knight\". Elizabeth said that Elizabeth is a knight if and only if Olivia is a knave. So who is a knight and who is a knave?", "names": ["Olivia", "Elizabeth"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Olivia is a knave, and 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 Olivia is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Olivia is a knight. Elizabeth cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight if and only if Olivia is a knave. Elizabeth cannot be a knave, because this would contradict the claim of Olivia that Elizabeth is a knight if and only if Olivia is a knight. We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Olivia. Assume Olivia is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Olivia is a knight. Assume Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Olivia is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 93, "solution_text_format": "(1) Olivia is a knave\n(2) Elizabeth is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Riley, and Abigail. Riley expressed that Abigail is a knave if and only if Abigail is a knight. Abigail noted, \"Riley is a knight\". So who is a knight and who is a knave?", "names": ["Riley", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Riley is a knave, and Abigail is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Riley cannot be a knight, because this would contradict the claim of their own that Abigail is a knave if and only if Abigail is a knight. Assume Riley is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Abigail is a knight. Abigail cannot be a knight, because this would contradict the claim of their own that Riley is a knight. Assume Abigail is a knave. No contradiction is found in their false claim that Riley is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('lying', 1), ('telling-truth', 1)), ('telling-truth', 0))", "index": 94, "solution_text_format": "(1) Riley is a knave\n(2) Abigail is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Ava. In Avery's words: \"If Ava is a knight then Ava is a knave\". Ava commented, \"Avery is a knight if and only if Avery is a knave\". So who is a knight and who is a knave?", "names": ["Avery", "Ava"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [true, false], "solution_text": "Avery is a knight, and Ava is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Avery is a knight. No contradiction is found in their claim that If Ava is a knight then Ava is a knave. Ava cannot be a knight, because this would contradict the claim of Avery that If Ava is a knight then Ava is a knave. Assume Ava is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Avery is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)))", "index": 96, "solution_text_format": "(1) Avery is a knight\n(2) Ava is a knave"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aiden, and Lucas. Aiden said that Lucas is a knight and Aiden is a knight. \"Aiden is a knave and Aiden is a knave,\" Lucas claimed. So who is a knight and who is a knave?", "names": ["Aiden", "Lucas"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Aiden is a knave, and 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 Aiden is a knight. No contradiction is found in their claim that Lucas is a knight and Aiden is a knight. Lucas cannot be a knight, because this would contradict the claim of their own that Aiden is a knave and Aiden is a knave. Lucas cannot be a knave, because this would contradict the claim of Aiden that Lucas is a knight and Aiden is a knight. We have exhausted all possibilities for Lucas, so let us go back and reconsider Aiden. Assume Aiden is a knave. No contradiction is found in their false claim that Lucas is a knight and Aiden is a knight. Assume Lucas is a knight. No contradiction is found in their claim that Aiden is a knave and Aiden is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('and', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 0), ('lying', 0)))", "index": 97, "solution_text_format": "(1) Aiden is a knave\n(2) Lucas is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and Isabella. As Zoey put it, \"Isabella is a knight if and only if Isabella is a knave\". Isabella remarked, \"Zoey is a knight if and only if Zoey is a knight\". So who is a knight and who is a knave?", "names": ["Zoey", "Isabella"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, true], "solution_text": "Zoey is a knave, and Isabella is a knight.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Zoey cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if Isabella is a knave. Assume Zoey is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Isabella is a knave. Assume Isabella is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Zoey is a knight.", "cot_foot": "This leads to a feasible solution.", "statements": "(('<=>', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 0)))", "index": 98, "solution_text_format": "(1) Zoey is a knave\n(2) Isabella is a knight"}
{"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Henry, and Abigail. \"Abigail is a knight\" - Henry. According to Abigail, \"Abigail is a knight if and only if Henry is a knave\". So who is a knight and who is a knave?", "names": ["Henry", "Abigail"], "knight_knave": {"knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave"}, "solution": [false, false], "solution_text": "Henry is a knave, and Abigail is a knave.", "cot_head": "Let's think step by step, by considering whether each person is lying and if that leads to contradiction.", "cot_repeat_steps": "Assume Henry is a knight. No contradiction is found in their claim that Abigail is a knight. Abigail cannot be a knight, because this would contradict the claim of their own that Abigail is a knight if and only if Henry is a knave. Abigail cannot be a knave, because this would contradict the claim of Henry that Abigail is a knight. We have exhausted all possibilities for Abigail, so let us go back and reconsider Henry. Assume Henry is a knave. No contradiction is found in their false claim that Abigail is a knight. Abigail cannot be a knight, because this would contradict the false claim of Henry that Abigail is a knight. Assume Abigail is a knave. No contradiction is found in their false claim that Abigail is a knight if and only if Henry is a knave.", "cot_foot": "This leads to a feasible solution.", "statements": "(('telling-truth', 1), ('<=>', ('telling-truth', 1), ('lying', 0)))", "index": 99, "solution_text_format": "(1) Henry is a knave\n(2) Abigail is a knave"}