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: Sebastian, William, David, Ethan, and Grace. \"(it is not the case that (Grace is a villain if and only if William is a hero)) if and only if ((Willi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1822, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"tell... | {"split": "train", "index": 19600} |
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: Benjamin, Aria, Sofia, Riley, and Evelyn. \"it is not the case that ((Evelyn is a villain and Riley is a villain and Aria is a villain and Benjamin i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1823, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 1]]]], [\"and\", [\"and\", [\"n... | {"split": "train", "index": 19601} |
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: Ava, Victoria, Abigail, Lucas, and Jackson. Ava expressed that if ((Abigail is a laggard) and (if Ava is a pioneer then Victoria is a laggard))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1824, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [... | {"split": "train", "index": 19602} |
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: Amelia, Aiden, Harper, Emma, and Zoey. Amelia commented, \"if (it is not the case that (if Zoey is a knight then Aiden is a knight)) then ((Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1825, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"tell... | {"split": "train", "index": 19603} |
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: Avery, Chloe, Matthew, Riley, and William. Avery said that it is not the case that ((Riley is a laggard if and only if Matthew is a pioneer) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1826, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 4]]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"... | {"split": "train", "index": 19604} |
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, Lily, Joseph, Oliver, and Elizabeth. Grace noted, \"if (Oliver is a knave or (Lily is a knight) or (Oliver is a knave and Joseph is a knight))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1827, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 1], [\"and\", [\"telling-t... | {"split": "train", "index": 19605} |
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: Abigail, Sophia, Joseph, Scarlett, and Logan. \"it is not the case that ((Joseph is a fool) if and only if (if Logan is a sage then Scarlett is a fool)),\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1828, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"->\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\... | {"split": "train", "index": 19606} |
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: Chloe, William, Daniel, Ella, and David. \"(if Chloe is an altruist then (Ella is an egoist and Daniel is an altruist)) or (if (David is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1829, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], ... | {"split": "train", "index": 19607} |
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: Owen, Olivia, Daniel, Aiden, and Charlotte. \"Olivia is a devil,\" Owen mentioned. Olivia asserted: \"Charlotte is an angel\". Daniel asserted: \"((if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1830, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 4], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lyi... | {"split": "train", "index": 19608} |
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, Lucas, Matthew, Mia, and David. In a statement by Michael: \"David is an altruist if and only if (Mia is an altruist)\". \"Michael is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1831, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 4], [\"or\", [\"lying\", 4], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telli... | {"split": "train", "index": 19609} |
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, Oliver, Zoey, Emily, and Ella. \"Oliver is a hero,\" Aurora mentioned. In a statement by Oliver: \"Aurora is a hero\". \"((Emily is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1832, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"lying\", 0]], [\"and\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"lying\", ... | {"split": "train", "index": 19610} |
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, William, Jackson, Joseph, and Scarlett. Jack stated, \"it is not the case that (it is not the case that (Scarlett is a saint))\". William was h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1833, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 4]]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\"... | {"split": "train", "index": 19611} |
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: Abigail, Daniel, Henry, Mason, and Ella. Abigail stated, \"((Daniel is a pioneer or Mason is a laggard or Abigail is a pioneer) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1834, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 2]... | {"split": "train", "index": 19612} |
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: Mia, James, Emma, Oliver, and Evelyn. Mia was heard saying, \"((Evelyn is a hero if and only if James is a villain) or (James is a villain) or (if Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1835, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"lying\", 3]], [\"lying\", 3], [\"and\", [\"t... | {"split": "train", "index": 19613} |
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: Matthew, James, Mason, Emma, and Logan. \"(James is an egoist if and only if (if Logan is an altruist then Emma is an altruist)) and (Emma is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1836, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lyin... | {"split": "train", "index": 19614} |
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: Logan, Daniel, Jacob, Charlotte, and Victoria. Logan noted, \"((Jacob is an angel) and (Logan is a devil) and (Charlotte is a devil and Jacob is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1837, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"an... | {"split": "train", "index": 19615} |
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: Emma, Jack, Logan, Harper, and Grace. In a statement by Emma: \"if (Grace is a pioneer and (Jack is a pioneer and Logan is a pioneer) and Logan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1838, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 4], [\"->\"... | {"split": "train", "index": 19616} |
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, Scarlett, Charlotte, Victoria, and Sofia. Daniel told you that it is not the case that ((Scarlett is a villain and Charlotte is a villain and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1839, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\"... | {"split": "train", "index": 19617} |
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, Mia, Lucas, Jacob, and Noah. \"Lucas is a hero,\" Chloe mentioned. In Mia's words: \"Chloe is a villain and (if (if Chloe is a hero then Lucas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1840, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"lying\", 0], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 0]]], [\"or\", [\"lying\", 0], [\"not\", [\"lying\", 3]], [\"->\... | {"split": "train", "index": 19618} |
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, Ethan, Matthew, William, and Evelyn. In David's words: \"it is not the case that (it is not the case that (William is a sage))\". \"(it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1841, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 3]]]], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"and\", [\"... | {"split": "train", "index": 19619} |
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: Sebastian, Lucas, Samuel, Matthew, and Charlotte. Sebastian commented, \"if ((Samuel is a pioneer and Sebastian is a pioneer and Samuel is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1842, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 0]]],... | {"split": "train", "index": 19620} |
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: Mason, Amelia, Abigail, Isabella, and Grace. \"(it is not the case that (Grace is a sage if and only if Isabella is a sage)) and ((if Isabella is a sage th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1843, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"... | {"split": "train", "index": 19621} |
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: Chloe, Sebastian, Daniel, Aiden, and Victoria. In a statement by Chloe: \"(Victoria is a knight) or Sebastian is a knight or Aiden is a knight\". \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1844, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"lyi... | {"split": "train", "index": 19622} |
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: Mason, Penelope, Aria, Evelyn, and Riley. In Mason's words: \"(it is not the case that (Evelyn is a fool or Riley is a fool or Mason is a sage or Riley is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1845, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"lying\", 4]], [\"->\", [\"or\... | {"split": "train", "index": 19623} |
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: Abigail, Emily, Victoria, Lily, and Jacob. Abigail expressed that Emily is a sage. \"Jacob is a sage if and only if ((Victoria is a sage if and only if Vic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1846, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 19624} |
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: Emma, Michael, Samuel, Jack, and Luke. \"it is not the case that (if (Luke is a laggard) then (if Samuel is a laggard then Jack is a pioneer)),... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1847, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"or\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 19625} |
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: Luke, Victoria, Isabella, Oliver, and Ella. As Luke put it, \"(if (Luke is a saint if and only if Isabella is a sinner) then Ella is a sinner) or Vic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1848, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"lying\", 4]], [\"lying\", 1], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 0], [\"->\", [\"or\", [\"->\", [\"telling-truth\", 3]... | {"split": "train", "index": 19626} |
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: Olivia, Sebastian, Samuel, Oliver, and Daniel. Olivia noted, \"it is not the case that (if Sebastian is a villain then (Daniel is a villain if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1849, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]]], [\"->\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 0], [\"or\", [\"lying\", 3], [\"tel... | {"split": "train", "index": 19627} |
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: David, Lucas, Daniel, Grace, and Avery. In a statement by David: \"((Avery is an angel and Grace is a devil and Grace is an angel and Lucas is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1850, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"lying\", 3], [\"or... | {"split": "train", "index": 19628} |
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, Penelope, Jackson, James, and Riley. Isabella said, \"Jackson is an egoist.\" Penelope told you that Isabella is an egoist. Jackson w... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1851, \"statements\": [[\"lying\", 2], [\"lying\", 0], [\"and\", [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", ... | {"split": "train", "index": 19629} |
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: Avery, David, Emily, Aurora, and Charlotte. Avery told you that Charlotte is an angel. David noted, \"(it is not the case that (Charlotte is an angel))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1852, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [... | {"split": "train", "index": 19630} |
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: Emma, Sofia, Evelyn, Jacob, and Joseph. Emma commented, \"Sofia is an altruist\". Sofia said, \"Evelyn is an altruist.\" Evelyn said that (it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1853, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 2], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [... | {"split": "train", "index": 19631} |
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: Emma, Ella, Zoey, Isabella, and Avery. Emma said, \"it is not the case that ((Isabella is an altruist or Ella is an egoist or Emma is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1854, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-... | {"split": "train", "index": 19632} |
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, Sebastian, Aiden, Jacob, and Daniel. William said that it is not the case that ((Daniel is a hero or Jacob is a hero or Sebastian is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1855, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0]]]], [\"telling-truth... | {"split": "train", "index": 19633} |
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: Avery, Jacob, Ethan, Sofia, and James. Avery was heard saying, \"if ((if Sofia is a knight then Jacob is a knight) and (Ethan is a knave and Jacob is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1856, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\",... | {"split": "train", "index": 19634} |
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, Lucas, Elizabeth, Zoey, and Amelia. Joseph asserted: \"Zoey is a fool or (it is not the case that (Zoey is a fool and Zoey is a sage)) or ((Amelia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1857, \"statements\": [[\"or\", [\"lying\", 3], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"not\", [\"and\", [\"l... | {"split": "train", "index": 19635} |
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: Avery, Aurora, Charlotte, Ava, and Grace. Avery stated, \"Grace is a sinner if and only if (it is not the case that (Aurora is a sinner and Charlotte... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1858, \"statements\": [[\"<=>\", [\"lying\", 4], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], ... | {"split": "train", "index": 19636} |
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: Logan, Michael, Aiden, David, and Aria. \"((David is an altruist and Aiden is an altruist) or Michael is an altruist or (Aiden is an altruist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1859, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 1], [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"... | {"split": "train", "index": 19637} |
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: Matthew, Benjamin, Isabella, Alexander, and Jackson. \"if ((Alexander is an egoist) if and only if (Isabella is an egoist)) then (Isabella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1860, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"telling-truth\", 0], [\"->\", [... | {"split": "train", "index": 19638} |
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: Aurora, Henry, Samuel, Liam, and Jack. \"(if (Jack is an angel) then (if Samuel is an angel then Liam is an angel)) if and only if (it is not the case ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1861, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 2]... | {"split": "train", "index": 19639} |
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: Grace, Joseph, Avery, Benjamin, and William. Grace commented, \"Joseph is a sinner\". Joseph said that it is not the case that ((Benjamin is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1862, \"statements\": [[\"lying\", 1], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"lying\", 0], [\"<=>\", ... | {"split": "train", "index": 19640} |
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: Emily, Mia, Logan, Grace, and Aria. In Emily's words: \"((Mia is a sinner) or (Logan is a saint)) and ((Logan is a saint) and (if Logan is a saint th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1863, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [... | {"split": "train", "index": 19641} |
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: Henry, Oliver, Olivia, Jack, and Isabella. In a statement by Henry: \"it is not the case that (it is not the case that (Olivia is a sage and Isabella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1864, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"not\", [\"lying\", 2]], [\"and\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", ... | {"split": "train", "index": 19642} |
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, Abigail, Elizabeth, Amelia, and Jackson. \"(if (if Sebastian is a hero then Elizabeth is a hero) then (Jackson is a hero)) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1865, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"or\", [\"... | {"split": "train", "index": 19643} |
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, Sofia, Logan, Victoria, and Mia. \"if ((Logan is a knave and Mia is a knight and Mia is a knave) or (Victoria is a knight and Victoria is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1866, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4]... | {"split": "train", "index": 19644} |
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: Henry, Benjamin, Daniel, Penelope, and Evelyn. Henry expressed that ((Penelope is a sinner) if and only if (Benjamin is a saint)) and (Benjamin is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1867, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth... | {"split": "train", "index": 19645} |
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: Grace, Oliver, Daniel, James, and Jackson. Grace asserted: \"it is not the case that (it is not the case that (Daniel is a villain if and only if Jam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1868, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\",... | {"split": "train", "index": 19646} |
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: Jacob, Luke, Aurora, Aiden, and Elizabeth. Jacob commented, \"Luke is a sage\". \"it is not the case that ((Aurora is a sage) and (Elizabeth is a fool and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1869, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"and\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"tel... | {"split": "train", "index": 19647} |
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, Chloe, Ava, Oliver, and Joseph. \"Oliver is a hero if and only if ((Oliver is a hero) and (Ava is a hero)),\" Aurora claimed. In Chloe's word... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1870, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"tellin... | {"split": "train", "index": 19648} |
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: Mason, William, Chloe, Harper, and Sebastian. According to Mason, \"if (it is not the case that (Mason is a saint if and only if William is a saint))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1871, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-trut... | {"split": "train", "index": 19649} |
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: Ella, Oliver, Emma, Mason, and Olivia. Ella stated, \"(if (Oliver is a pioneer) then (if Emma is a pioneer then Mason is a laggard)) or ((Mason... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1872, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]... | {"split": "train", "index": 19650} |
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, Penelope, Alexander, Emma, and Avery. \"(if (if Penelope is a saint then Penelope is a sinner) then (Emma is a sinner if and only if Michael... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1873, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 1], [\"lyi... | {"split": "train", "index": 19651} |
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, Samuel, Mia, Henry, and Lucas. Sebastian remarked, \"((Samuel is a villain and Lucas is a hero and Henry is a hero) or (if Samuel is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1874, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\"... | {"split": "train", "index": 19652} |
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: Jacob, Jackson, Noah, Aria, and Aiden. Jacob asserted: \"((if Jackson is a knave then Jacob is a knight) or (Aiden is a knight)) or (Aiden is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1875, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"lying\", 4], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"or\", [\"not\", [\"and\", ... | {"split": "train", "index": 19653} |
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: Mason, Abigail, Ella, Scarlett, and Elizabeth. Mason told you that ((Scarlett is a knave if and only if Scarlett is a knight) if and only if (Scarlet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1876, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", ... | {"split": "train", "index": 19654} |
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: Owen, David, Sophia, Isabella, and Emma. According to Owen, \"it is not the case that (it is not the case that (Sophia is a fool))\". \"((Owen is a fool if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1877, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telli... | {"split": "train", "index": 19655} |
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: Samuel, Sophia, Sofia, Oliver, and Noah. In a statement by Samuel: \"it is not the case that ((Sofia is a pioneer if and only if Oliver is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1878, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 1]]]], [\"not\", [\"<=>\", [\"<=>\", [\"tellin... | {"split": "train", "index": 19656} |
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: Logan, Sophia, Liam, Isabella, and Charlotte. Logan said, \"it is not the case that ((Sophia is a devil if and only if Charlotte is an angel) or (Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1879, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]], [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"<=>\", [\"<=>\", [... | {"split": "train", "index": 19657} |
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: Ethan, Charlotte, Alexander, Emma, and Aurora. \"((Ethan is an altruist and Aurora is an altruist and Alexander is an egoist) or (Emma is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1880, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 4], [\"telling... | {"split": "train", "index": 19658} |
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, Noah, Mia, Matthew, and Ava. \"Matthew is a pioneer or (it is not the case that (Matthew is a pioneer and Mia is a laggard and Ava is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1881, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\... | {"split": "train", "index": 19659} |
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: Lily, James, Logan, William, and Mason. Lily asserted: \"if Logan is a villain then ((Mason is a villain) if and only if (if Mason is a villain then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1882, \"statements\": [[\"->\", [\"lying\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"lying\... | {"split": "train", "index": 19660} |
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: Mason, Isabella, Ava, Mia, and Harper. Mason said that (if (Isabella is a sinner) then (Ava is a sinner if and only if Isabella is a saint)) or (it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1883, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 4], [\... | {"split": "train", "index": 19661} |
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: Benjamin, Zoey, Daniel, Emma, and David. \"Zoey is a pioneer,\" Benjamin mentioned. Zoey stated, \"(if (if David is a pioneer then Emma is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1884, \"statements\": [[\"not\", [\"lying\", 1]], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-... | {"split": "train", "index": 19662} |
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, Aria, Isabella, Jack, and Elizabeth. Ella expressed that it is not the case that (if (Elizabeth is a villain if and only if Isabella is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1885, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"<=>\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 0]], [\... | {"split": "train", "index": 19663} |
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: Michael, Sebastian, Owen, Scarlett, and Liam. Michael said that if (it is not the case that (Michael is a hero and Sebastian is a hero and Owen is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1886, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\... | {"split": "train", "index": 19664} |
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: Noah, Harper, Emma, Michael, and Alexander. Noah told you that Emma is a sinner. Harper stated, \"(Noah is a saint if and only if Alexander is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1887, \"statements\": [[\"lying\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 0], [\"lying\", 2]]]], [\"no... | {"split": "train", "index": 19665} |
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, Lily, Liam, Jacob, and Ava. Lucas remarked, \"(it is not the case that (Lily is an angel)) or Liam is an angel or (if (Lily is an angel or Lucas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1888, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 1]]], [\"telling-truth\", 2], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2],... | {"split": "train", "index": 19666} |
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: Aria, Ella, Sophia, Chloe, and Olivia. \"it is not the case that ((Chloe is an angel if and only if Olivia is an angel) if and only if (if Chloe is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1889, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]]]], [\"lying\", 0], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-... | {"split": "train", "index": 19667} |
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, Lucas, Mia, Noah, and Avery. Olivia stated, \"((if Mia is a saint then Mia is a sinner) and Avery is a sinner and Mia is a saint and (Mia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1890, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 4], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\",... | {"split": "train", "index": 19668} |
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: Matthew, Victoria, Isabella, Sofia, and Joseph. Matthew expressed that ((Victoria is a villain or Isabella is a hero or Victoria is a hero or Sofia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1891, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"tel... | {"split": "train", "index": 19669} |
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: Mason, Emily, Sofia, Logan, and Aurora. Mason stated, \"if ((Sofia is a knave if and only if Aurora is a knave) if and only if (Logan is a knave)) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1892, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]], [\"or\", [... | {"split": "train", "index": 19670} |
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: Logan, Lily, Penelope, Amelia, and James. Logan asserted: \"James is a devil\". In Lily's words: \"it is not the case that (it is not the case that (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1893, \"statements\": [[\"lying\", 4], [\"not\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"and\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 3], [... | {"split": "train", "index": 19671} |
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: Luke, Samuel, Jacob, Emily, and Avery. In a statement by Luke: \"it is not the case that ((Samuel is a hero and Luke is a hero and Emily is a hero) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1894, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth... | {"split": "train", "index": 19672} |
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: Alexander, Grace, Amelia, Luke, and Aiden. \"Grace is a knight,\" Alexander mentioned. \"it is not the case that ((if Aiden is a knave then Alexander... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1895, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 0], [\"lying\", 2], [\... | {"split": "train", "index": 19673} |
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: Chloe, Mia, Evelyn, Benjamin, and Jacob. \"Mia is a knave and (if Evelyn is a knight then (Benjamin is a knave and Jacob is a knave)) and ((Benjamin ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1896, \"statements\": [[\"and\", [\"lying\", 1], [\"->\", [\"telling-truth\", 2], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", ... | {"split": "train", "index": 19674} |
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: Ella, Samuel, Harper, William, and Aiden. According to Ella, \"(Samuel is a laggard or (if Samuel is a laggard then Harper is a laggard) or (Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1897, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 19675} |
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, Emma, Liam, Amelia, and David. \"((Liam is a hero and Ella is a hero and Liam is a villain) and David is a hero) or (it is not the case that (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1898, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 2]], [\"telling-truth\", 4]], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 1], ... | {"split": "train", "index": 19676} |
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, Henry, Matthew, Ella, and Harper. As Jack put it, \"if (it is not the case that (Jack is a saint and Harper is a saint)) then Jack is a saint\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1899, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"telling-truth\", 0]], [\"->\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"... | {"split": "train", "index": 19677} |
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: Henry, Daniel, Charlotte, Amelia, and Aurora. Henry was heard saying, \"(if (Charlotte is an egoist if and only if Henry is an altruist) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1900, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-tru... | {"split": "train", "index": 19678} |
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: Elizabeth, David, Emily, Lily, and Scarlett. Elizabeth commented, \"if (David is an altruist) then Lily is an egoist\". David noted, \"Emily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1901, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"lying\", 3]], [\"telling-truth\", 2], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]... | {"split": "train", "index": 19679} |
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: Elizabeth, Emma, Mia, David, and Matthew. Elizabeth said that Mia is a knave. Emma said that ((Matthew is a knave if and only if Elizabeth is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1902, \"statements\": [[\"lying\", 2], [\"or\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"<... | {"split": "train", "index": 19680} |
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: Sofia, Benjamin, Daniel, Scarlett, and Luke. In Sofia's words: \"it is not the case that ((Benjamin is a devil) or (if Scarlett is an angel then Luke i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1903, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"<=>\", [\"lying\", 0], [\"t... | {"split": "train", "index": 19681} |
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: Noah, Benjamin, Logan, Daniel, and Avery. According to Noah, \"if (if (Noah is an angel or Logan is a devil) then (Daniel is a devil if and only if Ave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1904, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"tell... | {"split": "train", "index": 19682} |
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: David, Charlotte, Luke, Abigail, and Zoey. David expressed that it is not the case that ((Charlotte is an egoist if and only if Zoey is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1905, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"lying\", 2], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 1]]], [\"and\", [\"->\", [\"and\", [\"lying\", 4], [\"telling-... | {"split": "train", "index": 19683} |
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: Harper, Sofia, Emily, William, and Owen. Harper said that ((if Sofia is a sage then Harper is a sage) or (Emily is a fool if and only if Owen is a fool) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1906, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 4], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 19684} |
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: Benjamin, Charlotte, Riley, Matthew, and David. \"Riley is a saint\" - Benjamin. Charlotte was heard saying, \"(Benjamin is a saint and (David is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1907, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"lying\", 0]], [\"not\", [\"<=>\", [\"lying\", 3], [\"tell... | {"split": "train", "index": 19685} |
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: Sebastian, Ethan, Evelyn, Aiden, and Chloe. \"Aiden is a devil or (Evelyn is a devil or (Chloe is a devil or Ethan is a devil) or (Aiden is a devil)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1908, \"statements\": [[\"or\", [\"lying\", 3], [\"or\", [\"lying\", 2], [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 0]], [\"or\", [\"->... | {"split": "train", "index": 19686} |
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: Matthew, Ella, Emma, Evelyn, and David. \"it is not the case that ((Matthew is a sage if and only if David is a fool) and (David is a fool or Emma is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1909, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"tellin... | {"split": "train", "index": 19687} |
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: Henry, Oliver, Daniel, Olivia, and Riley. Henry said that ((if Daniel is a knave then Riley is a knight) or (Olivia is a knight if and only if Riley ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1910, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]], [\"lying\", 1]], [\"or\", [\"or\", [\"telling-tr... | {"split": "train", "index": 19688} |
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: James, Lucas, Luke, Oliver, and Michael. James said, \"Lucas is a pioneer.\" Lucas commented, \"James is a pioneer\". Luke said that it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1911, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"lying\", 1], [\"telling-t... | {"split": "train", "index": 19689} |
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: Owen, Sebastian, Abigail, Luke, and Samuel. Owen commented, \"(if Abigail is a fool then (Luke is a fool and Sebastian is a sage and Abigail is a fool)) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1912, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"lying\", 4]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"t... | {"split": "train", "index": 19690} |
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: Samuel, Grace, Emma, Emily, and Lucas. According to Samuel, \"Grace is a laggard or ((if Samuel is a pioneer then Lucas is a laggard) or (Lucas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1913, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"telling-truth\",... | {"split": "train", "index": 19691} |
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, Riley, Zoey, Michael, and Owen. Sofia remarked, \"Owen is a hero\". Riley remarked, \"(Owen is a hero or (Owen is a villain or Sofia is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1914, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"or\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [... | {"split": "train", "index": 19692} |
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: Sophia, Luke, Amelia, Lucas, and Victoria. \"((Victoria is an altruist if and only if Luke is an altruist) and (Lucas is an altruist or Victori... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1915, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 3]... | {"split": "train", "index": 19693} |
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: Avery, Henry, Ethan, Liam, and Daniel. Avery told you that Ethan is a devil if and only if (it is not the case that (Ethan is an angel and Henry is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1916, \"statements\": [[\"<=>\", [\"lying\", 2], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 4]]]], [\"<=>\", [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 0], [\"telling-tru... | {"split": "train", "index": 19694} |
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, Mia, David, Emily, and Elizabeth. \"Mia is a sinner and ((if David is a sinner then Evelyn is a saint) if and only if (Evelyn is a sinner)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1917, \"statements\": [[\"and\", [\"lying\", 1], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 0... | {"split": "train", "index": 19695} |
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: Harper, Avery, Matthew, Logan, and Ava. Harper remarked, \"(if (Ava is a sage and Matthew is a fool and Logan is a fool) then (if Harper is a sage then Mat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1918, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [... | {"split": "train", "index": 19696} |
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: Jacob, Sophia, Ethan, Olivia, and Joseph. Jacob was heard saying, \"if (if Olivia is a saint then (Olivia is a saint or Joseph is a sinner)) then (it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1919, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\"... | {"split": "train", "index": 19697} |
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, Jacob, William, Owen, and Aria. Grace asserted: \"Jacob is a knave\". \"it is not the case that ((Grace is a knave and William is a knave) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1920, \"statements\": [[\"lying\", 1], [\"not\", [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 2]], [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"tell... | {"split": "train", "index": 19698} |
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: Grace, Lucas, Elizabeth, Alexander, and Joseph. \"Joseph is a hero,\" Grace claimed. In a statement by Lucas: \"((Alexander is a hero or Joseph is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1921, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 1... | {"split": "train", "index": 19699} |
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