data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ella, William, Michael, Riley, and Jack. Ella said that if ((Jack is a hero if and only if Jack is a villain) or (Jack is a hero and Jack is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1966, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"not\", [\"and\", ... | {"split": "train", "index": 15300} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aurora, Aria, Lucas, Joseph, and Owen. As Aurora put it, \"((Aria is a villain if and only if Lucas is a villain) and (Aurora is a hero if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1967, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\",... | {"split": "train", "index": 15301} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Chloe, Oliver, James, and Owen. Scarlett commented, \"(Chloe is a knight) or ((Chloe is a knight and Oliver is a knight) and (Oliver is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1968, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"not\", [\"and\", [\"lying\", 4], [\"not\",... | {"split": "train", "index": 15302} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ella, Harper, Owen, Chloe, and Elizabeth. Ella said, \"((Owen is a sinner) if and only if (Harper is a saint or Elizabeth is a sinner)) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1969, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"telling-truth\", 0]], [\"or\", [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"a... | {"split": "train", "index": 15303} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Abigail, Victoria, Penelope, Ava, and Jacob. \"if Jacob is an angel then (it is not the case that (if Ava is a devil then Jacob is a devil))\" - Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1970, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"<=>\", [\"lying\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-t... | {"split": "train", "index": 15304} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Owen, Ella, Aria, Samuel, and Emily. \"if (Samuel is an altruist) then ((if Aria is an egoist then Owen is an altruist) if and only if (Emily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1971, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"and\",... | {"split": "train", "index": 15305} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emma, Noah, Victoria, William, and Zoey. Emma was heard saying, \"(Victoria is a devil) or (if (Zoey is a devil or William is an angel) then Zoey is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1972, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 15306} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Joseph, Jack, Matthew, Zoey, and Aria. \"if (if Zoey is a fool then (if Matthew is a sage then Zoey is a sage)) then ((Zoey is a sage) if and only if (Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1973, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"not\", [\"... | {"split": "train", "index": 15307} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mia, Owen, James, Ava, and Emma. \"(it is not the case that (if Owen is a laggard then Ava is a laggard)) and (Emma is a pioneer if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1974, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 0],... | {"split": "train", "index": 15308} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Harper, Ethan, Lily, Ava, and Oliver. Harper said, \"if Ava is a hero then (if (Ava is a villain) then (if Lily is a hero then Ethan is a hero)).\" E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1975, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"<=>\", [\"or\"... | {"split": "train", "index": 15309} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Olivia, Lucas, Matthew, Charlotte, and Jackson. Olivia noted, \"(if (Jackson is a sage if and only if Olivia is a sage) then (Lucas is a fool if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1976, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 3]], [\"->\", [\"<=>\", [\"not\", [\"lying\", 3]], [\... | {"split": "train", "index": 15310} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Oliver, Lily, Emma, Lucas, and Mia. Oliver stated, \"(if (Emma is a devil if and only if Mia is an angel) then Emma is an angel) if and only if (Emma i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1977, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 0]]]], [\"->\", [\"or\", [\"or\", [\"lying\"... | {"split": "train", "index": 15311} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Chloe, Oliver, Benjamin, Scarlett, and Amelia. \"it is not the case that ((Scarlett is a saint if and only if Oliver is a saint) if and only if Chloe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1978, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-t... | {"split": "train", "index": 15312} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Isabella, Aria, Sofia, Scarlett, and Lucas. Isabella remarked, \"(Lucas is an egoist and (Isabella is an altruist and Aria is an egoist)) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1979, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"and\", [\"telling... | {"split": "train", "index": 15313} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Liam, Oliver, Jack, Emily, and Charlotte. Liam said that Charlotte is a saint or ((Jack is a sinner) or (Emily is a saint)). Oliver commented, \"((Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1980, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]]], [\"and\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 15314} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Noah, Benjamin, Scarlett, Zoey, and Ethan. Noah expressed that Benjamin is a laggard or ((Noah is a pioneer if and only if Ethan is a pioneer) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1981, \"statements\": [[\"or\", [\"lying\", 1], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"telling-truth\", 1], [\"->\", [\"or\", [\"lying\", 0]... | {"split": "train", "index": 15315} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Evelyn, Abigail, Noah, Victoria, and Jackson. Evelyn asserted: \"((Noah is a villain) or (if Noah is a hero then Abigail is a villain)) and (it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1982, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"not\", [\"not\", [\"lying\", 4]]]], [\"not\", [\"not\", [\"not\", [\"lying\", 4]]]], [\"and\", ... | {"split": "train", "index": 15316} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aiden, Isabella, Luke, Henry, and Joseph. Aiden remarked, \"(if (Isabella is a saint and Isabella is a sinner) then (if Luke is a saint then Isabella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1983, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"te... | {"split": "train", "index": 15317} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Harper, Amelia, Michael, and Benjamin. In a statement by Riley: \"Harper is a knave\". In Harper's words: \"((Benjamin is a knight or Harper i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1984, \"statements\": [[\"lying\", 1], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-trut... | {"split": "train", "index": 15318} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Daniel, Chloe, Aria, Lucas, and Samuel. Daniel was heard saying, \"(it is not the case that (Lucas is an altruist and Daniel is an altruist)) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1985, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 4], [\"and\", [... | {"split": "train", "index": 15319} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Matthew, Ella, Mason, Noah, and Olivia. Matthew asserted: \"if ((Noah is a laggard) if and only if (Ella is a pioneer)) then (Noah is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1986, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"lying\", 3], [\"and\", [\"lying\", 1], [\"lying\", 3]]]], [\"->\", [\"->\", [\"lying\", 3], [\"not\", [\"lyi... | {"split": "train", "index": 15320} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: James, Scarlett, Charlotte, Olivia, and Lily. In a statement by James: \"it is not the case that (Lily is an angel or (Olivia is a devil and Charlotte ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1987, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-t... | {"split": "train", "index": 15321} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mia, Emily, Ella, Isabella, and William. \"William is a pioneer or ((Isabella is a laggard if and only if Ella is a pioneer) or (Emily is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1988, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"->\", [\"and\", [\"and\", [\"lying\", 4], [\"l... | {"split": "train", "index": 15322} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Zoey, Isabella, Jack, David, and Ethan. Zoey was heard saying, \"Isabella is a fool\". Isabella said that if (it is not the case that (Ethan is a fool if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1989, \"statements\": [[\"lying\", 1], [\"->\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"<=>\", [\"or\", [\"<=>\", [... | {"split": "train", "index": 15323} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jack, Mason, Henry, Avery, and Evelyn. Jack commented, \"it is not the case that (if (Jack is an altruist or Henry is an altruist) then (Jack i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1990, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\"... | {"split": "train", "index": 15324} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sebastian, Jack, Chloe, David, and Oliver. In Sebastian's words: \"(Oliver is an altruist or (Chloe is an egoist if and only if Oliver is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1991, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 3]]]], [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"not\", ... | {"split": "train", "index": 15325} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jack, Grace, Oliver, Benjamin, and Emma. Jack told you that it is not the case that ((if Benjamin is an angel then Emma is an angel) if and only if Ben... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1992, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"and\", [\"lying\", 3], [\"lying\", 4]]]], [\"not\", ... | {"split": "train", "index": 15326} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sebastian, Joseph, Ava, Grace, and Ella. Sebastian expressed that Joseph is a hero. Joseph remarked, \"it is not the case that ((Sebastian is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1993, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]]], [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"->\", [\"te... | {"split": "train", "index": 15327} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Samuel, Benjamin, Zoey, and Victoria. Luke remarked, \"((if Samuel is a knave then Zoey is a knave) if and only if Samuel is a knave) or (Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1994, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"<=>\", [\"or\", [\"or\", [\"telling-t... | {"split": "train", "index": 15328} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lily, Aiden, Penelope, Ethan, and Charlotte. Lily expressed that Charlotte is an angel if and only if (if Aiden is a devil then (Lily is an angel and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1995, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"->\", [\"lying\", 1], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"or\", [\"lying\", 2], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]... | {"split": "train", "index": 15329} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Alexander, Benjamin, Zoey, Emily, and Grace. According to Alexander, \"(if (Benjamin is a pioneer or Benjamin is a laggard) then (Emily is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1996, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"o... | {"split": "train", "index": 15330} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Olivia, Lucas, Henry, and Emily. \"(if (Olivia is a knave or Lucas is a knave) then (Emily is a knight or Henry is a knave)) and (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1997, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"not\", [\"not\", ... | {"split": "train", "index": 15331} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: William, Amelia, Sofia, Aurora, and Benjamin. William remarked, \"Sofia is a hero\". Amelia noted, \"((Aurora is a hero if and only if Amelia is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1998, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 0], [\"lying\", 3]]], [\"and\", [\"lying\", 0], [\"or\", [\"telling-truth\", 2],... | {"split": "train", "index": 15332} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Riley, Noah, Isabella, and David. Harper commented, \"(it is not the case that (Harper is a knight or David is a knave)) or ((Isabella is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1999, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [... | {"split": "train", "index": 15333} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Penelope, Aurora, Luke, and Avery. Emma expressed that ((Avery is a knight or Penelope is a knave) if and only if (if Luke is a knight then Luk... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2000, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]... | {"split": "train", "index": 15334} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Charlotte, Olivia, Grace, Sofia, and Ethan. \"(if (if Ethan is a saint then Grace is a saint) then (Grace is a sinner and Ethan is a sinner)) or (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2001, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]... | {"split": "train", "index": 15335} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jack, Benjamin, Jacob, Grace, and Isabella. Jack told you that ((Isabella is a laggard or Jacob is a laggard) if and only if (Grace is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2002, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-t... | {"split": "train", "index": 15336} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Riley, Jack, Daniel, Lucas, and Abigail. \"((Daniel is a pioneer and Lucas is a pioneer) and (if Daniel is a pioneer then Daniel is a laggard))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2003, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"not\", [\"lying\", 4]]], [\"or\", [\"lying\", 0], [\"or\", [\"<=>\", [\... | {"split": "train", "index": 15337} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Samuel, Sebastian, Jackson, Jacob, and Ethan. \"((if Sebastian is a fool then Ethan is a sage) and (Ethan is a sage or Sebastian is a sage)) or ((Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2004, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1... | {"split": "train", "index": 15338} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emma, Chloe, Isabella, Ella, and Samuel. In Emma's words: \"if (Chloe is a saint if and only if (Chloe is a sinner if and only if Ella is a saint)) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2005, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"lying\", 2]], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"ly... | {"split": "train", "index": 15339} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Evelyn, Sebastian, Logan, Mia, and Lucas. As Evelyn put it, \"if (Sebastian is a villain and (Evelyn is a hero and Logan is a hero)) then (if (Lucas ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2006, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-trut... | {"split": "train", "index": 15340} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: David, Emily, Aurora, Zoey, and Isabella. David said, \"(David is a fool) if and only if (if (Zoey is a fool if and only if David is a sage) then (if David... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2007, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"not\", [\"and\", [\"or\", [\"lying\... | {"split": "train", "index": 15341} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Logan, Elizabeth, Sophia, Aiden, and Henry. According to Logan, \"if Elizabeth is a saint then ((Henry is a saint if and only if Logan is a saint) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2008, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"lying\", 3]]]], [\"not\", [\"->\", [\"not\", [\"lying\", 2]], [\"telling-... | {"split": "train", "index": 15342} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aurora, Lucas, Mason, Sofia, and Logan. According to Aurora, \"((Logan is a hero and Lucas is a hero) and (Sofia is a villain)) or (it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2009, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 1]]]], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 1]... | {"split": "train", "index": 15343} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Matthew, Harper, Elizabeth, Jacob, and Zoey. \"((Zoey is a pioneer and Jacob is a pioneer) if and only if (if Jacob is a pioneer then Harper is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2010, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]... | {"split": "train", "index": 15344} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jack, Henry, Jackson, Avery, and Sophia. \"Sophia is a villain if and only if ((Sophia is a villain) or (Avery is a hero if and only if Sophia is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2011, \"statements\": [[\"<=>\", [\"lying\", 4], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"<=>\",... | {"split": "train", "index": 15345} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Sofia, Emma, Liam, and Amelia. In Jack's words: \"(it is not the case that (Emma is a sinner and Sofia is a saint)) and (it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2012, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"and\", [\"tel... | {"split": "train", "index": 15346} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Avery, Lucas, Zoey, and Olivia. Oliver said, \"Avery is a knave.\" \"((Lucas is a knave if and only if Lucas is a knight) and (Avery is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2013, \"statements\": [[\"lying\", 1], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", ... | {"split": "train", "index": 15347} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Avery, Aria, Mason, Emily, and Noah. \"Emily is a villain\" - Avery. Aria said that (Avery is a hero or (Noah is a villain if and only if Mason is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2014, \"statements\": [[\"lying\", 3], [\"and\", [\"or\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"telling-truth\", 1], [\"->\", [\"lying\", 4], [\"lying\", 0]]]], [\"<=>\", [\"and\", [\... | {"split": "train", "index": 15348} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Jack, Joseph, Jackson, and Zoey. In Liam's words: \"if ((if Joseph is a pioneer then Zoey is a laggard) if and only if (Jack is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2015, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [\"not\",... | {"split": "train", "index": 15349} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Liam, Henry, Sophia, Lily, and Aiden. \"if ((Aiden is an angel and Liam is an angel) or (Sophia is a devil or Henry is a devil)) then ((Henry is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2016, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"l... | {"split": "train", "index": 15350} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aria, Mason, Isabella, Matthew, and David. \"David is a hero,\" Aria mentioned. \"it is not the case that ((Matthew is a hero) or (David is a hero if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2017, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\",... | {"split": "train", "index": 15351} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Luke, Victoria, Aurora, Emily, and Mason. Luke said that ((if Luke is an altruist then Emily is an egoist) or (Aurora is an egoist if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2018, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"telling-truth\",... | {"split": "train", "index": 15352} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Michael, Joseph, Ella, Emma, and Aiden. Michael commented, \"it is not the case that (it is not the case that (Emma is a laggard and Joseph is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2019, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"not\", [\"lying\", 4]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"->\", [\"lying\", 0], [\"lying\... | {"split": "train", "index": 15353} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Oliver, Charlotte, Daniel, Aurora, and David. Oliver stated, \"it is not the case that ((Oliver is a saint and David is a sinner) and (Aurora is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2020, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]]], [\"<=>\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying... | {"split": "train", "index": 15354} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Alexander, Elizabeth, David, Olivia, and Ava. Alexander remarked, \"if ((Elizabeth is an egoist if and only if Olivia is an altruist) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2021, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"ly... | {"split": "train", "index": 15355} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jack, Zoey, Emily, Aria, and Sebastian. \"(it is not the case that (Zoey is a laggard)) or Sebastian is a laggard\" - Jack. \"(if (if Sebastian... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2022, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"lying\", 4]], [\"and\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-trut... | {"split": "train", "index": 15356} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Joseph, Jackson, Henry, David, and Ella. \"if Henry is a fool then David is a fool,\" Joseph declared. In Jackson's words: \"((Henry is a sage) and (David ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2023, \"statements\": [[\"->\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"and\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 0]], [\"lying\", 4], [\"not\", [\"-... | {"split": "train", "index": 15357} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Avery, Oliver, Aurora, and Olivia. Charlotte expressed that (it is not the case that (Avery is an egoist or Aurora is an altruist)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2024, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"not\", [\"not\",... | {"split": "train", "index": 15358} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aiden, Aurora, Olivia, Oliver, and Michael. \"(it is not the case that (Aurora is a pioneer if and only if Olivia is a pioneer)) or (if (Olivia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2025, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 3]]], [\"not\", [\"lying\", 0]], [\"or\", [\"not\", [\"not\", [\"tel... | {"split": "train", "index": 15359} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Chloe, Liam, Ethan, Matthew, and Charlotte. \"((if Ethan is a villain then Liam is a hero) or (if Charlotte is a villain then Charlotte is a hero)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2026, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"<=>\", [\"<=>\", [\... | {"split": "train", "index": 15360} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Chloe, Liam, Zoey, Elizabeth, and Abigail. Chloe asserted: \"Elizabeth is a fool\". Liam asserted: \"(if Chloe is a fool then (Zoey is a sage and Abigail i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2027, \"statements\": [[\"lying\", 3], [\"and\", [\"->\", [\"lying\", 0], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"lying\", 3], [\"and... | {"split": "train", "index": 15361} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jacob, Joseph, Chloe, Ella, and William. According to Jacob, \"if (Chloe is an egoist or (Joseph is an egoist)) then Joseph is an egoist\". \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2028, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 1]], [\"->\", [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\",... | {"split": "train", "index": 15362} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lucas, James, Liam, Ava, and Benjamin. \"if Benjamin is an angel then ((James is an angel and Liam is a devil) if and only if (Ava is an angel if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2029, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 15363} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, David, Ella, Noah, and Mason. Abigail noted, \"David is a knave\". \"if (if (Ella is a knight if and only if Mason is a knight) then Noah is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2030, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lying\", 3]], [\"telling-truth\", 4]], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 15364} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Daniel, Chloe, Isabella, Emily, and Emma. Daniel was heard saying, \"if (Emma is a villain if and only if (Emma is a villain if and only if Isabella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2031, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 3], [\"and\", [\"lying\", 3], [\"lying\", 1]]]], [\"->\", [\"lying\", 2], [\"telling-tr... | {"split": "train", "index": 15365} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Benjamin, Henry, Emily, Sebastian, and Chloe. \"Sebastian is a devil\" - Benjamin. Henry noted, \"Chloe is a devil\". Emily asserted: \"if (if Henry is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2032, \"statements\": [[\"lying\", 3], [\"lying\", 4], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"lying\", 4], [\"->\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 15366} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Oliver, Alexander, Daniel, and Sofia. \"Sofia is a knave,\" Scarlett mentioned. Oliver told you that ((if Alexander is a knave then Scarlet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2033, \"statements\": [[\"lying\", 4], [\"and\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-tru... | {"split": "train", "index": 15367} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Samuel, Evelyn, Oliver, Benjamin, and Harper. \"if ((if Harper is an altruist then Samuel is an altruist) or Oliver is an altruist) then (it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2034, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"lying\", 4], [\"and\", [\"<=>\", [\"... | {"split": "train", "index": 15368} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aria, Oliver, Henry, Ava, and Lily. Aria commented, \"((Ava is a saint if and only if Aria is a saint) or (Lily is a sinner or Oliver is a sinner)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2035, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\",... | {"split": "train", "index": 15369} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Benjamin, Lucas, Joseph, and Michael. Grace told you that if ((Grace is a knight and Joseph is a knave) and (Benjamin is a knight and Lucas is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2036, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 15370} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lily, Jacob, Amelia, Zoey, and Ava. In a statement by Lily: \"it is not the case that ((Jacob is a sage and Zoey is a sage) if and only if (Lily is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2037, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\",... | {"split": "train", "index": 15371} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Harper, Samuel, Noah, and Emily. Olivia commented, \"Samuel is a sinner\". Harper remarked, \"Noah is a saint\". Samuel noted, \"if (if (Samu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2038, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 3], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 3... | {"split": "train", "index": 15372} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Jack, Emma, Riley, and Ava. Michael said, \"it is not the case that (if (Emma is a sinner and Jack is a saint) then (Riley is a saint if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2039, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", ... | {"split": "train", "index": 15373} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Benjamin, Avery, Michael, and Samuel. \"if ((Benjamin is a knight if and only if Avery is a knight) or William is a knight) then ((Michael i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2040, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 15374} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ethan, Jacob, James, Oliver, and Zoey. Ethan told you that James is a sage. Jacob stated, \"Ethan is a sage\". James commented, \"it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2041, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"lying\", 0]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"ly... | {"split": "train", "index": 15375} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Daniel, David, Riley, Henry, and Luke. Daniel commented, \"((David is a laggard if and only if Luke is a pioneer) if and only if (if Henry is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2042, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]]],... | {"split": "train", "index": 15376} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Ethan, Owen, Chloe, and Sebastian. Ava remarked, \"if (Chloe is a knave if and only if (Sebastian is a knave or Ava is a knight)) then (if Sebas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2043, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"lying\", 4], [\"->\",... | {"split": "train", "index": 15377} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: William, Penelope, Luke, Olivia, and Michael. William noted, \"Michael is a devil\". Penelope commented, \"((Olivia is an angel and Olivia is a devil) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2044, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 2]]], [\"->\", ... | {"split": "train", "index": 15378} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Victoria, Lucas, Emma, Penelope, and Scarlett. In a statement by Victoria: \"((if Scarlett is a sinner then Emma is a saint) if and only if (Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2045, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"->\", ... | {"split": "train", "index": 15379} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jackson, Henry, James, Ella, and Jacob. Jackson told you that James is a pioneer. Henry asserted: \"(it is not the case that (Ella is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2046, \"statements\": [[\"not\", [\"lying\", 2]], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-t... | {"split": "train", "index": 15380} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emily, Noah, James, Scarlett, and Ava. Emily commented, \"James is an altruist\". \"if Noah is an altruist then Scarlett is an altruist,\" Noah... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2047, \"statements\": [[\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"... | {"split": "train", "index": 15381} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Henry, William, Olivia, and Alexander. Charlotte expressed that ((Henry is a knight or Alexander is a knave) or (William is a knave or Hen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2048, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 15382} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Evelyn, Emily, Mason, Penelope, and Alexander. \"Emily is a fool,\" Evelyn declared. \"((Evelyn is a fool if and only if Mason is a fool) if and only if (P... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2049, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 0]]]], [\"not\", [\"and\... | {"split": "train", "index": 15383} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Michael, Ava, Samuel, Chloe, and Zoey. \"Zoey is an altruist,\" Michael claimed. \"if ((Samuel is an altruist if and only if Samuel is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2050, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"t... | {"split": "train", "index": 15384} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Owen, Riley, Mia, Harper, and Jack. Owen expressed that ((Riley is an egoist) and (Jack is an egoist and Harper is an egoist)) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2051, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"lying\", 3]]], [\"lying\", 4], [\"... | {"split": "train", "index": 15385} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Samuel, Matthew, Harper, and Aria. \"Harper is a knight,\" David mentioned. Samuel noted, \"if (it is not the case that (David is a knight or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2052, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 3]], [\"lying\", 1], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2]... | {"split": "train", "index": 15386} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Luke, Henry, Mason, Riley, and Owen. In a statement by Luke: \"Mason is a devil\". In Henry's words: \"if ((Luke is an angel or Henry is an angel) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2053, \"statements\": [[\"lying\", 2], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 2]]]], [\"or\", [\"t... | {"split": "train", "index": 15387} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aria, Jack, Mia, Samuel, and Isabella. Aria noted, \"if (it is not the case that (Mia is a laggard and Mia is a pioneer)) then (Mia is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2054, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"tell... | {"split": "train", "index": 15388} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emily, Owen, Sebastian, Ethan, and Charlotte. In Emily's words: \"(if (Ethan is an egoist or Charlotte is an egoist) then (Sebastian is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2055, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"and\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"->\", [\"<=>\", [... | {"split": "train", "index": 15389} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Charlotte, William, Ava, Matthew, and Sophia. In a statement by Charlotte: \"(it is not the case that (if William is an angel then Ava is an angel)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2056, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"lying\", 3]], [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"tel... | {"split": "train", "index": 15390} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Liam, Mia, Henry, and Elizabeth. Riley commented, \"Liam is a knave\". Liam commented, \"it is not the case that ((if Riley is a knight then E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2057, \"statements\": [[\"lying\", 1], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"<=>\", [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 4]]], ... | {"split": "train", "index": 15391} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lily, Emma, Logan, David, and Sebastian. Lily remarked, \"David is a laggard\". Emma expressed that David is a pioneer. \"Lily is a laggard and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2058, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"and\", [\"lying\", 0], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"or\", [\"->\", [\"a... | {"split": "train", "index": 15392} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Oliver, Michael, Avery, Mason, and Emily. \"((Michael is an egoist or Avery is an egoist) if and only if (Michael is an altruist or Avery is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2059, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"->\", [\"or\", [\... | {"split": "train", "index": 15393} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Amelia, David, Lucas, and Aria. \"it is not the case that ((Aria is an altruist) and (Aria is an egoist or David is an altruist))\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2060, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"and\", [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"tellin... | {"split": "train", "index": 15394} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Scarlett, Jacob, Daniel, Olivia, and Ethan. Scarlett said that ((Daniel is a fool and Jacob is a fool) and (Scarlett is a fool)) or ((Daniel is a sage) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2061, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"not\",... | {"split": "train", "index": 15395} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Isabella, Emily, Harper, Aurora, and Amelia. \"Emily is a devil if and only if Aurora is an angel,\" Isabella mentioned. As Emily put it, \"((Harper is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2062, \"statements\": [[\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"telling-truth\", 2]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]... | {"split": "train", "index": 15396} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Evelyn, Isabella, Daniel, Emily, and Penelope. Evelyn told you that (Isabella is a saint or (Emily is a sinner and Evelyn is a saint)) or Penelope is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2063, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 4]], [\"telling-truth\", 3], [\"or\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 15397} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Abigail, Chloe, Emily, David, and Michael. \"((David is a devil) if and only if (Chloe is a devil)) and ((Emily is an angel and Chloe is an angel) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2064, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]]], [\"or\... | {"split": "train", "index": 15398} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sofia, Matthew, Harper, Abigail, and Scarlett. Sofia commented, \"if (Scarlett is a villain and (if Harper is a hero then Sofia is a hero)) then (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2065, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 15399} |
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