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reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Owen, Isabella, Elizabeth, and Olivia. Owen said, \"Olivia is a pioneer if and only if Isabella is a laggard.\" Isabella asserted: \"Owen is a pioneer ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Owen, Isabella, Elizabeth, and Olivia. Owen said, \\\"Olivia is a pioneer if and only if Isabella is a laggard.\\\" Isabella asserted: ...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 4 }, "index": 0, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Owen, Isabella, Elizabeth, and Olivia. Owen said, \"if ((Elizabeth is a laggard) if and only if (Olivia is a laggard or Elizabeth is a pioneer)) then (...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Owen, Isabella, Elizabeth, and Olivia. Owen said, \\\"if ((Elizabeth is a laggard) if and only if (Olivia is a laggard or Elizabeth is ...
{ "difficulty": { "depth_constraint": 4, "n_people": 4, "width_constraint": 2 }, "index": 1, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Owen, Isabella, Elizabeth, and Olivia. Owen said, \"Olivia is a pioneer if and only if Isabella is a laggard.\" Isabella asserted: \"Owen is a pioneer ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Owen, Isabella, Elizabeth, and Olivia. Owen said, \\\"Olivia is a pioneer if and only if Isabella is a laggard.\\\" Isabella asserted: ...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 3 }, "index": 2, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Owen, Isabella, Elizabeth, and Olivia. Owen said, \"Isabella is a laggard.\" Isabella asserted: \"(Isabella is a pioneer or Elizabeth is a pioneer) and...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Owen, Isabella, Elizabeth, and Olivia. Owen said, \\\"Isabella is a laggard.\\\" Isabella asserted: \\\"(Isabella is a pioneer or Eliza...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 2 }, "index": 3, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Owen, Isabella, Elizabeth, and Olivia. Owen said, \"(Olivia is a pioneer or Elizabeth is a pioneer) if and only if (Isabella is a pioneer if and only i...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Owen, Isabella, Elizabeth, and Olivia. Owen said, \\\"(Olivia is a pioneer or Elizabeth is a pioneer) if and only if (Isabella is a pio...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 3 }, "index": 4, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Avery, Benjamin, Daniel, and Logan. Avery told you that if Avery is a saint then Daniel is a sinner. Benjamin told you that if Avery is a saint then Daniel i...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Avery, Benjamin, Daniel, and Logan. Avery told you that if Avery is a saint then Daniel is a sinner. Benjamin told you that if Avery is a sai...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 3 }, "index": 5, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Avery, Benjamin, Daniel, and Logan. Avery told you that it is not the case that ((Logan is a sinner if and only if Logan is a saint) or (Daniel is a saint or...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Avery, Benjamin, Daniel, and Logan. Avery told you that it is not the case that ((Logan is a sinner if and only if Logan is a saint) or (Dani...
{ "difficulty": { "depth_constraint": 4, "n_people": 4, "width_constraint": 2 }, "index": 6, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Avery, Benjamin, Daniel, and Logan. Avery told you that Logan is a sinner if and only if (Benjamin is a sinner and Benjamin is a saint). Benjamin told you th...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Avery, Benjamin, Daniel, and Logan. Avery told you that Logan is a sinner if and only if (Benjamin is a sinner and Benjamin is a saint). Benj...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 2 }, "index": 7, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Emily, Henry, Samuel, and Victoria. Emily said that if Samuel is a villain then Emily is a hero. In a statement by Henry: \"Samuel is a villain or Emily is a...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Emily, Henry, Samuel, and Victoria. Emily said that if Samuel is a villain then Emily is a hero. In a statement by Henry: \\\"Samuel is a vil...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 3 }, "index": 8, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Avery, Benjamin, Daniel, and Logan. Avery told you that it is not the case that (Logan is a sinner or Logan is a saint or Benjamin is a saint). Benjamin told...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Avery, Benjamin, Daniel, and Logan. Avery told you that it is not the case that (Logan is a sinner or Logan is a saint or Benjamin is a saint...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 3 }, "index": 9, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Avery, Benjamin, Daniel, and Logan. Avery told you that if Avery is a saint then Daniel is a sinner. Benjamin told you that if Avery is a saint then Daniel i...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Avery, Benjamin, Daniel, and Logan. Avery told you that if Avery is a saint then Daniel is a sinner. Benjamin told you that if Avery is a sai...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 4 }, "index": 10, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Emily, Henry, Samuel, and Victoria. Emily said that if (if Emily is a hero then Henry is a hero) then (Samuel is a villain if and only if Samuel is a hero). ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Emily, Henry, Samuel, and Victoria. Emily said that if (if Emily is a hero then Henry is a hero) then (Samuel is a villain if and only if Sam...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 3 }, "index": 11, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Emily, Henry, Samuel, and Victoria. Emily said that if (if Emily is a hero then Henry is a hero) then (Samuel is a villain if and only if Samuel is a hero). ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Emily, Henry, Samuel, and Victoria. Emily said that if (if Emily is a hero then Henry is a hero) then (Samuel is a villain if and only if Sam...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 2 }, "index": 12, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Emily, Henry, Samuel, and Victoria. Emily said that Victoria is a villain. In a statement by Henry: \"Victoria is a hero\". Samuel told you that if (it is no...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Emily, Henry, Samuel, and Victoria. Emily said that Victoria is a villain. In a statement by Henry: \\\"Victoria is a hero\\\". Samuel told y...
{ "difficulty": { "depth_constraint": 4, "n_people": 4, "width_constraint": 2 }, "index": 13, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Aurora, Matthew, and Aiden. Zoey remarked, \"Aurora is a knight\". Aurora remarked, \"(Aiden is a knave) and (Matthew is a knave)\". In Matthew's words...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Aurora, Matthew, and Aiden. Zoey remarked, \\\"Aurora is a knight\\\". Aurora remarked, \\\"(Aiden is a knave) and (Matthew is a knave)...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 3 }, "index": 14, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Aurora, Matthew, and Aiden. Zoey remarked, \"if (Aiden is a knight or Aiden is a knave) then (Matthew is a knight)\". Aurora remarked, \"(Matthew is a ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Aurora, Matthew, and Aiden. Zoey remarked, \\\"if (Aiden is a knight or Aiden is a knave) then (Matthew is a knight)\\\". Aurora remark...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 2 }, "index": 15, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Emily, Henry, Samuel, and Victoria. Emily said that if Samuel is a villain then Emily is a hero. In a statement by Henry: \"Samuel is a villain or Emily is a...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Emily, Henry, Samuel, and Victoria. Emily said that if Samuel is a villain then Emily is a hero. In a statement by Henry: \\\"Samuel is a vil...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 4 }, "index": 16, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Aurora, Matthew, and Aiden. Zoey remarked, \"if Aurora is a knave then Matthew is a knight\". Aurora remarked, \"Matthew is a knave if and only if Auro...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Aurora, Matthew, and Aiden. Zoey remarked, \\\"if Aurora is a knave then Matthew is a knight\\\". Aurora remarked, \\\"Matthew is a kna...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 4 }, "index": 17, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Aurora, Matthew, and Aiden. Zoey remarked, \"(Aurora is a knave) if and only if Matthew is a knave\". Aurora remarked, \"((Zoey is a knave if and only ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Aurora, Matthew, and Aiden. Zoey remarked, \\\"(Aurora is a knave) if and only if Matthew is a knave\\\". Aurora remarked, \\\"((Zoey i...
{ "difficulty": { "depth_constraint": 4, "n_people": 4, "width_constraint": 2 }, "index": 18, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ethan, Daniel, Penelope, and Mason. According to Ethan, \"Penelope is a hero if and only if Ethan is a hero\". Daniel remarked, \"if Mason is a villain then ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ethan, Daniel, Penelope, and Mason. According to Ethan, \\\"Penelope is a hero if and only if Ethan is a hero\\\". Daniel remarked, \\\"if Ma...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 4 }, "index": 19, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ethan, Daniel, Penelope, and Mason. According to Ethan, \"(Ethan is a hero or Mason is a villain) if and only if Daniel is a hero\". Daniel remarked, \"if (D...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ethan, Daniel, Penelope, and Mason. According to Ethan, \\\"(Ethan is a hero or Mason is a villain) if and only if Daniel is a hero\\\". Dani...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 2 }, "index": 20, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ethan, Daniel, Penelope, and Mason. According to Ethan, \"if (it is not the case that (Mason is a hero or Penelope is a hero)) then ((Mason is a villain and ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ethan, Daniel, Penelope, and Mason. According to Ethan, \\\"if (it is not the case that (Mason is a hero or Penelope is a hero)) then ((Mason...
{ "difficulty": { "depth_constraint": 4, "n_people": 4, "width_constraint": 2 }, "index": 21, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Ella, Aurora, David, and Mia. Ella expressed that Mia is an egoist. \"Mia is an egoist,\" Aurora mentioned. David noted, \"Aurora is an egoist\". \"Dav...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Ella, Aurora, David, and Mia. Ella expressed that Mia is an egoist. \\\"Mia is an egoist,\\\" Aurora mentioned. David noted, \\\"Aurora...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 4 }, "index": 22, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Ella, Aurora, David, and Mia. Ella expressed that ((Mia is an altruist) or Mia is an altruist) and (it is not the case that (Aurora is an altruist)). \...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Ella, Aurora, David, and Mia. Ella expressed that ((Mia is an altruist) or Mia is an altruist) and (it is not the case that (Aurora is ...
{ "difficulty": { "depth_constraint": 4, "n_people": 4, "width_constraint": 2 }, "index": 23, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Aurora, Matthew, and Aiden. Zoey remarked, \"if Aurora is a knave then Matthew is a knight\". Aurora remarked, \"Matthew is a knave if and only if Auro...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Aurora, Matthew, and Aiden. Zoey remarked, \\\"if Aurora is a knave then Matthew is a knight\\\". Aurora remarked, \\\"Matthew is a kna...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 3 }, "index": 24, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Owen, Isabella, Elizabeth, and Olivia. Owen said, \"Olivia is a pioneer.\" Isabella asserted: \"if Olivia is a pioneer then Elizabeth is a pioneer\". \...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Owen, Isabella, Elizabeth, and Olivia. Owen said, \\\"Olivia is a pioneer.\\\" Isabella asserted: \\\"if Olivia is a pioneer then Eliza...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 2 }, "index": 25, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ethan, Daniel, Penelope, and Mason. According to Ethan, \"Penelope is a hero if and only if Ethan is a hero\". Daniel remarked, \"if Mason is a villain then ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ethan, Daniel, Penelope, and Mason. According to Ethan, \\\"Penelope is a hero if and only if Ethan is a hero\\\". Daniel remarked, \\\"if Ma...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 3 }, "index": 26, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ethan, Daniel, Penelope, and Mason. According to Ethan, \"(Mason is a villain) and (Ethan is a hero and Daniel is a villain and Penelope is a hero)\". Daniel...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ethan, Daniel, Penelope, and Mason. According to Ethan, \\\"(Mason is a villain) and (Ethan is a hero and Daniel is a villain and Penelope is...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 3 }, "index": 27, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Sophia, Zoey, and James. Amelia was heard saying, \"Zoey is a knave\". Sophia said that James is a knave. According to Zoey, \"James is a knave or So...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Sophia, Zoey, and James. Amelia was heard saying, \\\"Zoey is a knave\\\". Sophia said that James is a knave. According to Zoey, \\\"...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 4 }, "index": 28, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Lucas, Sofia, Aria, and Victoria. Lucas stated, \"Lucas is an angel and Aria is a devil and Victoria is an angel and Sofia is a devil\". Sofia noted, \"Aria is...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Lucas, Sofia, Aria, and Victoria. Lucas stated, \\\"Lucas is an angel and Aria is a devil and Victoria is an angel and Sofia is a devil\\\". So...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 4 }, "index": 29, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Ella, Aurora, David, and Mia. Ella expressed that David is an egoist. \"Aurora is an altruist or David is an altruist,\" Aurora mentioned. David noted,...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Ella, Aurora, David, and Mia. Ella expressed that David is an egoist. \\\"Aurora is an altruist or David is an altruist,\\\" Aurora men...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 3 }, "index": 30, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Alexander, Jack, David, and Jackson. \"if Jackson is a villain then David is a hero\" - Alexander. As Jack put it, \"Jackson is a hero\". David commented, \"...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Alexander, Jack, David, and Jackson. \\\"if Jackson is a villain then David is a hero\\\" - Alexander. As Jack put it, \\\"Jackson is a hero\...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 4 }, "index": 31, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Ella, Aurora, David, and Mia. Ella expressed that if (if Ella is an altruist then Aurora is an egoist) then (David is an altruist if and only if Mia is...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Ella, Aurora, David, and Mia. Ella expressed that if (if Ella is an altruist then Aurora is an egoist) then (David is an altruist if an...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 2 }, "index": 32, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Sophia, Zoey, and James. Amelia was heard saying, \"it is not the case that (Sophia is a knave and (James is a knave or Zoey is a knave))\". Sophia s...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Sophia, Zoey, and James. Amelia was heard saying, \\\"it is not the case that (Sophia is a knave and (James is a knave or Zoey is a k...
{ "difficulty": { "depth_constraint": 4, "n_people": 4, "width_constraint": 2 }, "index": 33, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Ella, Aurora, David, and Mia. Ella expressed that Ella is an altruist. \"David is an egoist,\" Aurora mentioned. David noted, \"(Ella is an altruist or...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Ella, Aurora, David, and Mia. Ella expressed that Ella is an altruist. \\\"David is an egoist,\\\" Aurora mentioned. David noted, \\\"(...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 3 }, "index": 34, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Avery, Benjamin, Daniel, and Logan. Avery told you that if Avery is a saint then Daniel is a sinner. Benjamin told you that if Avery is a saint then Daniel i...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Avery, Benjamin, Daniel, and Logan. Avery told you that if Avery is a saint then Daniel is a sinner. Benjamin told you that if Avery is a sai...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 2 }, "index": 35, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Lucas, Sofia, Aria, and Victoria. Lucas stated, \"it is not the case that ((Victoria is an angel) or (if Aria is a devil then Victoria is a devil))\". Sofia no...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Lucas, Sofia, Aria, and Victoria. Lucas stated, \\\"it is not the case that ((Victoria is an angel) or (if Aria is a devil then Victoria is a d...
{ "difficulty": { "depth_constraint": 4, "n_people": 4, "width_constraint": 2 }, "index": 36, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Sophia, Zoey, and James. Amelia was heard saying, \"Zoey is a knight or Sophia is a knight\". Sophia said that Zoey is a knight. According to Zoey, \...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Sophia, Zoey, and James. Amelia was heard saying, \\\"Zoey is a knight or Sophia is a knight\\\". Sophia said that Zoey is a knight. ...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 3 }, "index": 37, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Alexander, Jack, David, and Jackson. \"if ((if Jackson is a hero then David is a hero) and Alexander is a hero) then (it is not the case that (Alexander is a...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Alexander, Jack, David, and Jackson. \\\"if ((if Jackson is a hero then David is a hero) and Alexander is a hero) then (it is not the case th...
{ "difficulty": { "depth_constraint": 4, "n_people": 4, "width_constraint": 2 }, "index": 38, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Aiden, Ella, Sebastian, and Aria. Aiden remarked, \"it is not the case that ((Ella is an altruist if and only if Aria is an egoist) and (Sebastian is a...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Aiden, Ella, Sebastian, and Aria. Aiden remarked, \\\"it is not the case that ((Ella is an altruist if and only if Aria is an egoist) a...
{ "difficulty": { "depth_constraint": 4, "n_people": 4, "width_constraint": 2 }, "index": 39, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Emily, Henry, Samuel, and Victoria. Emily said that Henry is a hero or Victoria is a hero. In a statement by Henry: \"Victoria is a hero\". Samuel told you t...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Emily, Henry, Samuel, and Victoria. Emily said that Henry is a hero or Victoria is a hero. In a statement by Henry: \\\"Victoria is a hero\\\...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 2 }, "index": 40, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Lucas, Sofia, Aria, and Victoria. Lucas stated, \"Victoria is a devil\". Sofia noted, \"Victoria is an angel and Sofia is an angel\". As Aria put it, \"Lucas i...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Lucas, Sofia, Aria, and Victoria. Lucas stated, \\\"Victoria is a devil\\\". Sofia noted, \\\"Victoria is an angel and Sofia is an angel\\\". A...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 3 }, "index": 41, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Aiden, Ella, Sebastian, and Aria. Aiden remarked, \"Ella is an egoist or Aria is an egoist or Sebastian is an egoist or Ella is an altruist\". Ella sai...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Aiden, Ella, Sebastian, and Aria. Aiden remarked, \\\"Ella is an egoist or Aria is an egoist or Sebastian is an egoist or Ella is an al...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 4 }, "index": 42, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Sophia, Zoey, and James. Amelia was heard saying, \"(Zoey is a knight and Sophia is a knight) or Zoey is a knight\". Sophia said that (Zoey is a knig...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Sophia, Zoey, and James. Amelia was heard saying, \\\"(Zoey is a knight and Sophia is a knight) or Zoey is a knight\\\". Sophia said ...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 2 }, "index": 43, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Lucas, Sofia, Aria, and Victoria. Lucas stated, \"(Victoria is a devil or Sofia is an angel) or Victoria is a devil\". Sofia noted, \"Sofia is an angel and (Ar...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Lucas, Sofia, Aria, and Victoria. Lucas stated, \\\"(Victoria is a devil or Sofia is an angel) or Victoria is a devil\\\". Sofia noted, \\\"Sof...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 2 }, "index": 44, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Charlotte, Riley, Benjamin, and Victoria. In a statement by Charlotte: \"Riley is a sinner or Benjamin is a saint or Riley is a saint\". According to Riley, ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Charlotte, Riley, Benjamin, and Victoria. In a statement by Charlotte: \\\"Riley is a sinner or Benjamin is a saint or Riley is a saint\\\". ...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 4 }, "index": 45, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Alexander, Jack, David, and Jackson. \"if (Jackson is a villain and Jackson is a hero) then (if Alexander is a hero then David is a hero)\" - Alexander. As J...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Alexander, Jack, David, and Jackson. \\\"if (Jackson is a villain and Jackson is a hero) then (if Alexander is a hero then David is a hero)\\...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 2 }, "index": 46, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Sophia, Zoey, and James. Amelia was heard saying, \"(Zoey is a knight) and (Sophia is a knight if and only if Zoey is a knave) and (if James is a kni...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Amelia, Sophia, Zoey, and James. Amelia was heard saying, \\\"(Zoey is a knight) and (Sophia is a knight if and only if Zoey is a knave) and ...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 3 }, "index": 47, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Aiden, Ella, Sebastian, and Aria. Aiden remarked, \"(Aria is an altruist if and only if Sebastian is an altruist) if and only if (Aria is an altruist o...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Aiden, Ella, Sebastian, and Aria. Aiden remarked, \\\"(Aria is an altruist if and only if Sebastian is an altruist) if and only if (Ari...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 2 }, "index": 48, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, James, Liam, and Samuel. According to Avery, \"James is a knight and Liam is a knave and James is a knave\". As James put it, \"Liam is a knave\". Lia...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, James, Liam, and Samuel. According to Avery, \\\"James is a knight and Liam is a knave and James is a knave\\\". As James put it, \\\"...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 4 }, "index": 49, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Charlotte, Riley, Benjamin, and Victoria. In a statement by Charlotte: \"(if (Benjamin is a saint) then (if Riley is a sinner then Victoria is a sinner)) and...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Charlotte, Riley, Benjamin, and Victoria. In a statement by Charlotte: \\\"(if (Benjamin is a saint) then (if Riley is a sinner then Victoria...
{ "difficulty": { "depth_constraint": 4, "n_people": 4, "width_constraint": 2 }, "index": 50, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Alexander, Jack, David, and Jackson. \"if Jackson is a villain then David is a hero\" - Alexander. As Jack put it, \"Jackson is a hero\". David commented, \"...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Alexander, Jack, David, and Jackson. \\\"if Jackson is a villain then David is a hero\\\" - Alexander. As Jack put it, \\\"Jackson is a hero\...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 3 }, "index": 51, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Aurora, Matthew, and Aiden. Zoey remarked, \"if Aurora is a knave then Matthew is a knight\". Aurora remarked, \"Matthew is a knave if and only if Auro...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Zoey, Aurora, Matthew, and Aiden. Zoey remarked, \\\"if Aurora is a knave then Matthew is a knight\\\". Aurora remarked, \\\"Matthew is a kna...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 2 }, "index": 52, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Charlotte, Riley, Benjamin, and Victoria. In a statement by Charlotte: \"it is not the case that (Benjamin is a saint or Riley is a saint)\". According to Ri...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Charlotte, Riley, Benjamin, and Victoria. In a statement by Charlotte: \\\"it is not the case that (Benjamin is a saint or Riley is a saint)\...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 2 }, "index": 53, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Lucas, Sofia, Aria, and Victoria. Lucas stated, \"it is not the case that (Victoria is a devil or Aria is a devil)\". Sofia noted, \"if (Victoria is a devil or...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Lucas, Sofia, Aria, and Victoria. Lucas stated, \\\"it is not the case that (Victoria is a devil or Aria is a devil)\\\". Sofia noted, \\\"if (...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 3 }, "index": 54, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Samuel, Jacob, Aurora, and Matthew. Samuel stated, \"Aurora is a fool\". Jacob told you that Aurora is a sage. \"Matthew is a sage or Matthew is a fool,\" Aurora m...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Samuel, Jacob, Aurora, and Matthew. Samuel stated, \\\"Aurora is a fool\\\". Jacob told you that Aurora is a sage. \\\"Matthew is a sage or Matthew...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 4 }, "index": 55, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ethan, Daniel, Penelope, and Mason. According to Ethan, \"if Mason is a villain then Ethan is a hero\". Daniel remarked, \"Penelope is a hero if and only if ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ethan, Daniel, Penelope, and Mason. According to Ethan, \\\"if Mason is a villain then Ethan is a hero\\\". Daniel remarked, \\\"Penelope is ...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 2 }, "index": 56, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Alexander, Jack, David, and Jackson. \"(Jackson is a villain or David is a villain) and (Jack is a hero if and only if David is a villain) and (if David is a...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Alexander, Jack, David, and Jackson. \\\"(Jackson is a villain or David is a villain) and (Jack is a hero if and only if David is a villain) ...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 3 }, "index": 57, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, James, Liam, and Samuel. According to Avery, \"((Liam is a knave) and (if Liam is a knight then Samuel is a knight)) and ((Liam is a knave or Samuel i...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, James, Liam, and Samuel. According to Avery, \\\"((Liam is a knave) and (if Liam is a knight then Samuel is a knight)) and ((Liam is a...
{ "difficulty": { "depth_constraint": 4, "n_people": 4, "width_constraint": 2 }, "index": 58, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Aiden, Ella, Sebastian, and Aria. Aiden remarked, \"Aria is an egoist\". Ella said, \"it is not the case that (Aiden is an altruist or Aria is an egois...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Aiden, Ella, Sebastian, and Aria. Aiden remarked, \\\"Aria is an egoist\\\". Ella said, \\\"it is not the case that (Aiden is an altrui...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 3 }, "index": 59, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Samuel, Jacob, Aurora, and Matthew. Samuel stated, \"(it is not the case that (Matthew is a fool if and only if Jacob is a sage)) or (it is not the case that (if A...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Samuel, Jacob, Aurora, and Matthew. Samuel stated, \\\"(it is not the case that (Matthew is a fool if and only if Jacob is a sage)) or (it is not t...
{ "difficulty": { "depth_constraint": 4, "n_people": 4, "width_constraint": 2 }, "index": 60, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Charlotte, Riley, Benjamin, and Victoria. In a statement by Charlotte: \"it is not the case that (Victoria is a sinner and Benjamin is a sinner)\". According...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Charlotte, Riley, Benjamin, and Victoria. In a statement by Charlotte: \\\"it is not the case that (Victoria is a sinner and Benjamin is a si...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 3 }, "index": 61, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ella, Charlotte, Amelia, and Lucas. Ella commented, \"if Amelia is a villain then Charlotte is a hero\". In Charlotte's words: \"Ella is a hero if and only i...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ella, Charlotte, Amelia, and Lucas. Ella commented, \\\"if Amelia is a villain then Charlotte is a hero\\\". In Charlotte's words: \\\"Ella i...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 4 }, "index": 62, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, James, Liam, and Samuel. According to Avery, \"(Liam is a knave) and (if Liam is a knight then Samuel is a knight)\". As James put it, \"(Liam is a kn...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, James, Liam, and Samuel. According to Avery, \\\"(Liam is a knave) and (if Liam is a knight then Samuel is a knight)\\\". As James put...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 3 }, "index": 63, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Samuel, Jacob, Aurora, and Matthew. Samuel stated, \"Matthew is a sage\". Jacob told you that if (Jacob is a sage or Matthew is a fool or Aurora is a fool) then (i...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Samuel, Jacob, Aurora, and Matthew. Samuel stated, \\\"Matthew is a sage\\\". Jacob told you that if (Jacob is a sage or Matthew is a fool or Auror...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 3 }, "index": 64, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Aiden, Ella, Sebastian, and Aria. Aiden remarked, \"Aria is an egoist\". Ella said, \"Aiden is an egoist or Sebastian is an egoist or Ella is an altrui...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Aiden, Ella, Sebastian, and Aria. Aiden remarked, \\\"Aria is an egoist\\\". Ella said, \\\"Aiden is an egoist or Sebastian is an egois...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 3 }, "index": 65, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ella, Charlotte, Amelia, and Lucas. Ella commented, \"it is not the case that (Amelia is a hero)\". In Charlotte's words: \"Ella is a villain\". Amelia expre...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ella, Charlotte, Amelia, and Lucas. Ella commented, \\\"it is not the case that (Amelia is a hero)\\\". In Charlotte's words: \\\"Ella is a v...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 3 }, "index": 66, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Charlotte, Riley, Benjamin, and Victoria. In a statement by Charlotte: \"Riley is a sinner\". According to Riley, \"Charlotte is a sinner or Victoria is a si...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Charlotte, Riley, Benjamin, and Victoria. In a statement by Charlotte: \\\"Riley is a sinner\\\". According to Riley, \\\"Charlotte is a sinn...
{ "difficulty": { "depth_constraint": 2, "n_people": 4, "width_constraint": 3 }, "index": 67, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: David, Luke, Isabella, and Chloe. David stated, \"(David is a laggard) if and only if (Luke is a pioneer if and only if David is a pioneer)\". \"Chloe ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: David, Luke, Isabella, and Chloe. David stated, \\\"(David is a laggard) if and only if (Luke is a pioneer if and only if David is a pi...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 3 }, "index": 68, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, James, Liam, and Samuel. According to Avery, \"(James is a knight and Liam is a knave) and (James is a knave)\". As James put it, \"(Samuel is a knigh...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, James, Liam, and Samuel. According to Avery, \\\"(James is a knight and Liam is a knave) and (James is a knave)\\\". As James put it, ...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 2 }, "index": 69, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Samuel, Jacob, Aurora, and Matthew. Samuel stated, \"it is not the case that (if Matthew is a sage then Aurora is a sage)\". Jacob told you that Matthew is a sage....
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Samuel, Jacob, Aurora, and Matthew. Samuel stated, \\\"it is not the case that (if Matthew is a sage then Aurora is a sage)\\\". Jacob told you tha...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 2 }, "index": 70, "split": "train" }
reasoning_gym/knights_and_knaves/4
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ella, Charlotte, Amelia, and Lucas. Ella commented, \"if (Amelia is a hero) then Charlotte is a hero\". In Charlotte's words: \"it is not the case that (Amel...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ella, Charlotte, Amelia, and Lucas. Ella commented, \\\"if (Amelia is a hero) then Charlotte is a hero\\\". In Charlotte's words: \\\"it is n...
{ "difficulty": { "depth_constraint": 3, "n_people": 4, "width_constraint": 2 }, "index": 71, "split": "train" }
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