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36 lines (36 loc) · 2.26 KB
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{
"quiz": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Amelia, Penelope, and Evelyn. Amelia said that Evelyn is not a knight. Penelope was heard saying, \"Penelope is a knight or Evelyn is a knave\". Evelyn was heard saying, \"Penelope is a knight if and only if Penelope is a knave\". So who is a knight and who is a knave?",
"names": [
"Amelia",
"Penelope",
"Evelyn"
],
"knight_knave": {
"Knave": "Knave",
"Knight": "Knight",
"a_knave": "a knave",
"a_knight": "a knight",
"knave": "knave",
"knight": "knight"
},
"solution": [
true,
true,
false
],
"solution_text": "Amelia is a knight, Penelope is a knight, and Evelyn is a knave.",
"solution_text_format": "(1) Amelia is a knight\n(2) Penelope is a knight\n(3) 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 Amelia is a knight. No contradiction is found in their claim that Evelyn is not a knight.",
"Evelyn cannot be a knight, because this would contradict the claim of Amelia that Evelyn is not a knight.",
"Assume Evelyn is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Penelope is a knave.",
"Assume Penelope is a knight. No contradiction is found in their claim that Penelope is a knight or Evelyn is a knave."
],
"cot_foot": "This leads to a feasible solution.",
"statements": "(('not', ('telling-truth', 2)), ('or', ('telling-truth', 1), ('lying', 2)), ('<=>', ('telling-truth', 1), ('lying', 1)))",
"index": 1000,
"data_source": "kk_logic",
"prompt": [
{
"content":"<|im_start|>system\nYou are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and<answer> </answer> tags, respectively, i.e., <think> reasoning process here </think><answer> answer here </answer>. Now the user asks you to solve a logical reasoning pro