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 angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aurora, Evelyn, Owen, Henry, and Amelia. \"(if Owen is a devil then Evelyn is a devil) or (if Owen is an angel then Henry is an angel) or (Amelia is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1888, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", ... | {"split": "train", "index": 13000} |
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: Sebastian, Avery, Abigail, Emma, and Chloe. Sebastian said that Abigail is a sinner. Avery said, \"if (Sebastian is a sinner and Abigail is a saint a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1889, \"statements\": [[\"lying\", 2], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 1]], [\"telli... | {"split": "train", "index": 13001} |
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: Sophia, Mia, James, Scarlett, and Henry. Sophia said that if (Henry is a knight or Scarlett is a knight or James is a knave or James is a knight) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1890, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], ... | {"split": "train", "index": 13002} |
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, Riley, Ella, Victoria, and Benjamin. Liam told you that Victoria is a devil. Riley was heard saying, \"(if Benjamin is an angel then Benjamin is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1891, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-tru... | {"split": "train", "index": 13003} |
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: William, Sofia, Elizabeth, Victoria, and Riley. In William's words: \"it is not the case that (if Victoria is a laggard then William is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1892, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"telling-truth\", 1], [\"or\", [\"telling-trut... | {"split": "train", "index": 13004} |
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, Aurora, Avery, Lucas, and Harper. As Charlotte put it, \"Lucas is a sinner\". As Aurora put it, \"Harper is a saint\". Avery said that it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1893, \"statements\": [[\"lying\", 3], [\"telling-truth\", 4], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying... | {"split": "train", "index": 13005} |
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, Mason, Liam, Riley, and Emma. \"if (if Liam is a pioneer then Riley is a pioneer) then (if Riley is a laggard then Emma is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1894, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-tru... | {"split": "train", "index": 13006} |
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, Oliver, Avery, David, and Evelyn. Logan remarked, \"(Logan is a saint and Evelyn is a saint and Evelyn is a sinner) and Avery is a sinner\". \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1895, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4]], [\"lying\", 2]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 2], [\"lying\", 0]], [\"not\", ... | {"split": "train", "index": 13007} |
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: Evelyn, Sophia, Olivia, Ella, and Michael. In Evelyn's words: \"Michael is an egoist\". Sophia expressed that it is not the case that (Michael ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1896, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 1], [\"tellin... | {"split": "train", "index": 13008} |
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: Charlotte, Zoey, Ethan, Sebastian, and Victoria. \"if (Victoria is a laggard) then (if Victoria is a laggard then Ethan is a pioneer),\" Charlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1897, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"lying\", 0], [\"lying\", 4], [\"<=>... | {"split": "train", "index": 13009} |
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: Ava, Zoey, Mason, Aria, and Elizabeth. In a statement by Ava: \"Mason is a saint\". In a statement by Zoey: \"(Elizabeth is a sinner if and only if A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1898, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]... | {"split": "train", "index": 13010} |
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: Sophia, Lily, Evelyn, Emma, and Aiden. Sophia remarked, \"if (Emma is a knave if and only if Emma is a knight) then (Emma is a knave if and only if E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1899, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]],... | {"split": "train", "index": 13011} |
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: Joseph, Aria, Ella, Chloe, and Riley. According to Joseph, \"it is not the case that (Chloe is a knight)\". \"(if Ella is a knave then Riley is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1900, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"telling-tr... | {"split": "train", "index": 13012} |
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: Daniel, Michael, Alexander, Oliver, and Zoey. \"Zoey is a sinner and Oliver is a sinner,\" Daniel claimed. Michael stated, \"(Daniel is a saint and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1901, \"statements\": [[\"and\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"lying\"... | {"split": "train", "index": 13013} |
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, Sofia, Aria, Elizabeth, and Chloe. \"Elizabeth is a knave\" - Luke. Sofia was heard saying, \"(Luke is a knave) if and only if (if Aria is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1902, \"statements\": [[\"lying\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"and... | {"split": "train", "index": 13014} |
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, Ella, Grace, Ava, and Amelia. \"(Ava is a sinner and Amelia is a saint) if and only if (Amelia is a saint or Grace is a saint),\" Emily mentio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1903, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 1], [\"l... | {"split": "train", "index": 13015} |
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: James, Olivia, Owen, Oliver, and Mia. James commented, \"(if Olivia is a knave then Owen is a knave) or (Mia is a knight)\". Olivia noted, \"Mia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1904, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]... | {"split": "train", "index": 13016} |
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: Jacob, James, Alexander, Lily, and Luke. Jacob told you that (James is an angel or Luke is an angel or Lily is an angel or James is a devil) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1905, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 0], [\"->\", [\"and\", [... | {"split": "train", "index": 13017} |
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: Samuel, Scarlett, Emily, Abigail, and Liam. In a statement by Samuel: \"Scarlett is a saint\". \"if (if Liam is a sinner then Abigail is a sinner) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1906, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"lying\", 3]], [\"telling-truth\", 4], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]], [\"lyin... | {"split": "train", "index": 13018} |
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, Mason, Ethan, Daniel, and Charlotte. \"if (Ethan is an angel) then (Mason is an angel and Daniel is a devil and Mason is a devil),\" David menti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1907, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 1]]], [\"lying\", 3], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-trut... | {"split": "train", "index": 13019} |
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: Matthew, Chloe, Victoria, Oliver, and William. In a statement by Matthew: \"William is a devil\". Chloe expressed that (if Victoria is an angel then Wi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1908, \"statements\": [[\"lying\", 4], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 1], ... | {"split": "train", "index": 13020} |
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, Sofia, Isabella, Avery, and Riley. \"Riley is a pioneer\" - Aria. Sofia noted, \"(Aria is a laggard if and only if Riley is a pioneer) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1909, \"statements\": [[\"not\", [\"lying\", 4]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 4... | {"split": "train", "index": 13021} |
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: Logan, Emma, Aria, Riley, and Grace. Logan said, \"Emma is a laggard.\" \"if Aria is a pioneer then (Riley is a laggard),\" Emma mentioned. \"E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1910, \"statements\": [[\"lying\", 1], [\"->\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 1], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telli... | {"split": "train", "index": 13022} |
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, Abigail, Michael, Olivia, and Emily. Henry expressed that Michael is a knave. Abigail expressed that (Emily is a knight and Olivia is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1911, \"statements\": [[\"lying\", 2], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"<... | {"split": "train", "index": 13023} |
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: Grace, James, Owen, Emily, and Victoria. Grace commented, \"Owen is a devil\". James remarked, \"Grace is an angel and (Emily is a devil) and (Victoria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1912, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"lying\", 1], [\"not\", [\"and\", [\"lying\",... | {"split": "train", "index": 13024} |
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, Aiden, Daniel, William, and Emily. \"(Daniel is a laggard and Daniel is a pioneer and Aiden is a pioneer and Abigail is a pioneer) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1913, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"lying\", 3], [\"telling-truth\", 1], [\"and\", ... | {"split": "train", "index": 13025} |
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, Mason, Evelyn, Henry, and Mia. As James put it, \"Mia is a laggard\". \"(if James is a pioneer then James is a laggard) and (Evelyn is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1914, \"statements\": [[\"lying\", 4], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 0], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 4], [\"lyin... | {"split": "train", "index": 13026} |
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: Owen, Samuel, Matthew, Mia, and Sofia. \"Samuel is a knight or (Matthew is a knave) or Matthew is a knight,\" Owen mentioned. \"Sofia is a knight\" -... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1915, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"telling-truth\", 4], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], ... | {"split": "train", "index": 13027} |
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: Matthew, Olivia, Sofia, Penelope, and Samuel. Matthew commented, \"if (Sofia is a sinner) then Olivia is a saint\". Olivia expressed that (if Penelop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1916, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 2]]],... | {"split": "train", "index": 13028} |
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: Ethan, Harper, Noah, Liam, and Emma. As Ethan put it, \"Emma is an angel\". Harper commented, \"if (Noah is a devil) then Emma is a devil\". In Noah's ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1917, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 4]], [\"lying\", 3], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying... | {"split": "train", "index": 13029} |
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: Grace, Jack, Henry, Alexander, and Harper. \"if (Alexander is a sage if and only if Harper is a sage) then Harper is a sage\" - Grace. Jack said that (Henr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1918, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"telling-truth\", 2]... | {"split": "train", "index": 13030} |
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: Ava, James, Benjamin, Ethan, and Amelia. Ava asserted: \"if (Ava is a sinner) then (Benjamin is a saint or Ethan is a sinner or Benjamin is a sinner ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1919, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"and\", [\"or\", [\"lying\", 0], [\"tellin... | {"split": "train", "index": 13031} |
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, David, Scarlett, Michael, and Evelyn. Ethan told you that (Michael is an altruist and David is an altruist and Evelyn is an altruist and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1920, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4]], [\"-... | {"split": "train", "index": 13032} |
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, Michael, Emily, Luke, and Aria. Evelyn told you that if (Luke is a hero and Michael is a villain) then (Michael is a villain and Michael is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1921, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2]... | {"split": "train", "index": 13033} |
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: Isabella, Michael, James, Evelyn, and Ava. Isabella commented, \"(Ava is a pioneer if and only if Michael is a laggard) and Ava is a pioneer an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1922, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 4], [\"not\", [\"lying\", 2]]], [\"or\", [\"telling-truth\", 3], [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"or\", [\"lyi... | {"split": "train", "index": 13034} |
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: Mia, Henry, Joseph, Ava, and Avery. Mia asserted: \"Ava is an egoist\". Henry said that (Joseph is an altruist) and Avery is an altruist and (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1923, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 1]... | {"split": "train", "index": 13035} |
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, Henry, Harper, Samuel, and Ella. Lily said that it is not the case that (Ella is a hero or Harper is a villain or Lily is a hero). Henry commen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1924, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 0]]], [\"lying\", 3], [\"telling-truth\", 0], [\"and\", [\"lying\", 1], [\"and\", [\"telling-truth\", 3], [\"telling-truth\"... | {"split": "train", "index": 13036} |
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, Avery, David, Michael, and Elizabeth. According to Samuel, \"(Michael is a fool if and only if Samuel is a sage) or Avery is a fool or (Avery is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1925, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 1], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 0], [\"lying\", 1], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]],... | {"split": "train", "index": 13037} |
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, Benjamin, Isabella, Olivia, and Jack. As Abigail put it, \"if (if Olivia is a pioneer then Isabella is a laggard) then (Isabella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1926, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"... | {"split": "train", "index": 13038} |
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, Zoey, Luke, Owen, and Jack. Aiden expressed that Jack is a knave. \"if (Aiden is a knave or Luke is a knight or Jack is a knight) then (Luke i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1927, \"statements\": [[\"lying\", 4], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\... | {"split": "train", "index": 13039} |
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: Scarlett, Olivia, Evelyn, Abigail, and Amelia. In Scarlett's words: \"(if Amelia is a laggard then Amelia is a pioneer) if and only if (Abigail... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1928, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"lying\", 3]], [\"telling-truth\", 0], [\"not\", [\"... | {"split": "train", "index": 13040} |
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: Aiden, Noah, Ava, Owen, and Amelia. In a statement by Aiden: \"if (Amelia is a fool) then (Noah is a fool or Amelia is a fool or Noah is a sage or Owen is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1929, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"not\", [\"or\", [\"telling-truth\", 4], [... | {"split": "train", "index": 13041} |
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: Sophia, Benjamin, Emma, Avery, and Olivia. Sophia expressed that it is not the case that (Avery is a sage if and only if Olivia is a fool). Benjamin said t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1930, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 0]], [\"lying\", 2]], \"s... | {"split": "train", "index": 13042} |
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, Daniel, Owen, Chloe, and Harper. According to Grace, \"it is not the case that (Chloe is a knight if and only if Daniel is a knight)\". In a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1931, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]... | {"split": "train", "index": 13043} |
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, Joseph, Matthew, Lily, and Jacob. As Daniel put it, \"if (Lily is an altruist or Daniel is an altruist or Matthew is an altruist or Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1932, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"... | {"split": "train", "index": 13044} |
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, Aria, Harper, Sophia, and Ava. In Emma's words: \"Harper is a laggard\". Aria noted, \"(Harper is a laggard if and only if Emma is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1933, \"statements\": [[\"lying\", 2], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth... | {"split": "train", "index": 13045} |
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: Amelia, Ava, Olivia, Elizabeth, and Benjamin. \"it is not the case that (Benjamin is a saint),\" Amelia claimed. In Ava's words: \"(Elizabeth is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1934, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\"... | {"split": "train", "index": 13046} |
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, Aria, Penelope, Emma, and Aurora. Luke asserted: \"it is not the case that (Luke is an angel or Penelope is a devil or Aria is an angel or Aurora... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1935, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"->... | {"split": "train", "index": 13047} |
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, Isabella, Liam, Jackson, and Benjamin. Alexander stated, \"(Isabella is a knight if and only if Isabella is a knave) and (Jackson is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1936, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"a... | {"split": "train", "index": 13048} |
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, Ella, Sofia, Penelope, and Zoey. \"(Zoey is a pioneer or Sofia is a pioneer or Penelope is a laggard or Zoey is a laggard) or Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1937, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 3]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling... | {"split": "train", "index": 13049} |
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: Harper, Abigail, Owen, Zoey, and Sofia. In Harper's words: \"if Abigail is a devil then (Abigail is an angel)\". Abigail said, \"if (Harper is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1938, \"statements\": [[\"->\", [\"lying\", 1], [\"not\", [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 2]], [\"and\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\",... | {"split": "train", "index": 13050} |
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: Abigail, Samuel, Michael, Sebastian, and Harper. \"Michael is a saint if and only if (Abigail is a saint or Harper is a sinner or Michael is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1939, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\... | {"split": "train", "index": 13051} |
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, Isabella, William, Michael, and Oliver. \"if (Isabella is a fool if and only if Isabella is a sage) then William is a fool,\" Jacob declared. Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1940, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"lying\", 2]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\... | {"split": "train", "index": 13052} |
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: Logan, Jack, David, Aurora, and Alexander. Logan remarked, \"if Logan is a knight then (if David is a knave then David is a knight)\". Jack expressed... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1941, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\... | {"split": "train", "index": 13053} |
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: Daniel, James, Isabella, Sophia, and Joseph. Daniel said, \"if (Isabella is a sage) then (James is a sage).\" \"(Joseph is a fool and Isabella is a sage an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1942, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 0]], [\"and\", [\"telling-truth\", 2], [\"l... | {"split": "train", "index": 13054} |
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: Harper, Matthew, Lucas, Elizabeth, and Daniel. \"(Lucas is a saint and Lucas is a sinner and Harper is a saint) or Matthew is a sinner or (Daniel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1943, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 1], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 4],... | {"split": "train", "index": 13055} |
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: Lily, Oliver, Logan, Penelope, and Evelyn. Lily stated, \"Penelope is a knave or (Lily is a knight if and only if Evelyn is a knight)\". Oliver expre... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1944, \"statements\": [[\"or\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 1], [\"lyin... | {"split": "train", "index": 13056} |
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, Luke, Sebastian, Isabella, and Benjamin. Evelyn said that if (Luke is a sinner or Isabella is a sinner) then (Isabella is a sinner and Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1945, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-tru... | {"split": "train", "index": 13057} |
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: Elizabeth, Jacob, Aiden, Grace, and Evelyn. Elizabeth said that (Jacob is a sage) and (Jacob is a sage and Evelyn is a sage) and (Elizabeth is a fool) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1946, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 4... | {"split": "train", "index": 13058} |
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: Mason, Avery, Olivia, Luke, and Jacob. As Mason put it, \"(Luke is an egoist) and (Avery is an egoist if and only if Jacob is an egoist) and (O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1947, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"<=... | {"split": "train", "index": 13059} |
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, Grace, James, Isabella, and William. \"if (William is a sage or Isabella is a sage or Isabella is a fool or William is a fool) then Grace is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1948, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]], [\"lying\", 1]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth... | {"split": "train", "index": 13060} |
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: James, Victoria, Aiden, Jack, and Sebastian. As James put it, \"(Aiden is a saint) or (Sebastian is a saint and Victoria is a saint and James is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1949, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"ly... | {"split": "train", "index": 13061} |
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: Victoria, Daniel, Avery, Lily, and Aurora. According to Victoria, \"it is not the case that (Aurora is a villain or Daniel is a villain or Victoria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1950, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"and\... | {"split": "train", "index": 13062} |
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: Harper, Abigail, Penelope, Ella, and Noah. Harper remarked, \"if (Noah is a sinner and Abigail is a sinner and Ella is a sinner and Penelope is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1951, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"lying\", 3], [\"lying\", 2]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 13063} |
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, Sofia, Chloe, Emma, and Sebastian. Aurora asserted: \"(if Emma is a villain then Emma is a hero) if and only if (Aurora is a hero and Chloe i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1952, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth... | {"split": "train", "index": 13064} |
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: William, Harper, Liam, Scarlett, and Penelope. In William's words: \"it is not the case that (Liam is an egoist if and only if Liam is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1953, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"telling-truth\", 1], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-t... | {"split": "train", "index": 13065} |
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: Grace, Sophia, Evelyn, Ava, and Avery. In a statement by Grace: \"(Ava is a devil or Grace is an angel) or (Avery is a devil) or (Grace is an angel or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1954, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\... | {"split": "train", "index": 13066} |
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: Amelia, Riley, Victoria, Ava, and Jack. As Amelia put it, \"(Riley is an altruist or Jack is an egoist) or Victoria is an altruist\". Riley ass... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1955, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 2]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\"... | {"split": "train", "index": 13067} |
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: Joseph, Emma, Aiden, Mia, and Mason. In a statement by Joseph: \"(Joseph is a saint or Emma is a saint or Emma is a sinner) and Mia is a saint\". \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1956, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 3]], [\"or\... | {"split": "train", "index": 13068} |
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: Zoey, Benjamin, Aria, Henry, and Emma. Zoey told you that (Emma is a knight if and only if Benjamin is a knight) and (Emma is a knight or Benjamin is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1957, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 13069} |
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, Benjamin, Emma, Luke, and Lucas. Owen told you that (if Luke is a fool then Lucas is a fool) or (if Benjamin is a sage then Owen is a sage) or (Lucas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1958, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\... | {"split": "train", "index": 13070} |
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: Scarlett, Harper, Oliver, Luke, and Jackson. As Scarlett put it, \"(Harper is a devil and Oliver is a devil and Scarlett is an angel) or (Harper is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1959, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"... | {"split": "train", "index": 13071} |
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: Sebastian, Matthew, Mason, Victoria, and Riley. Sebastian asserted: \"(Sebastian is a knight or Matthew is a knave) and (Sebastian is a knave) and (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1960, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"not\", [\"<=>\", [\"te... | {"split": "train", "index": 13072} |
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: Riley, Elizabeth, Michael, Noah, and Owen. Riley said that (Riley is an altruist and Owen is an egoist) and (Michael is an egoist) and (Michael... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1961, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\",... | {"split": "train", "index": 13073} |
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, Sebastian, Aurora, Zoey, and Grace. Alexander expressed that (if Grace is a laggard then Sebastian is a laggard) or (if Sebastian is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1962, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 0], [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 4]]], ... | {"split": "train", "index": 13074} |
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: Amelia, Jacob, Benjamin, Joseph, and Henry. Amelia told you that it is not the case that (if Joseph is an altruist then Benjamin is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1963, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 2], [\"not\", [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2]... | {"split": "train", "index": 13075} |
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: Scarlett, Penelope, Charlotte, Harper, and Grace. In Scarlett's words: \"it is not the case that (Penelope is a devil and Grace is a devil)\". Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1964, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"lying\", 0], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"not\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 13076} |
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, Harper, Sofia, Daniel, and Aurora. According to Liam, \"Aurora is an angel\". According to Harper, \"(Sofia is an angel) and (if Sofia is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1965, \"statements\": [[\"not\", [\"lying\", 4]], [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]]... | {"split": "train", "index": 13077} |
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, Zoey, Sophia, William, and David. \"Sophia is an angel or (Charlotte is an angel or Zoey is a devil),\" Charlotte claimed. According to Zoey... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1966, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 2]]], [\"lying\"... | {"split": "train", "index": 13078} |
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: Abigail, Benjamin, Avery, Lucas, and Oliver. Abigail said that Benjamin is a saint. Benjamin stated, \"(Lucas is a saint or Avery is a saint or Abiga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1967, \"statements\": [[\"not\", [\"lying\", 1]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 0]... | {"split": "train", "index": 13079} |
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, Olivia, Jackson, Joseph, and Samuel. \"(Samuel is a knave if and only if Joseph is a knave) and (Joseph is a knight),\" Luke mentioned. Olivia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1968, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lyin... | {"split": "train", "index": 13080} |
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: Isabella, Ava, Victoria, Ella, and Daniel. Isabella told you that (Ava is a knight or Victoria is a knight or Daniel is a knave) or (Isabella is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1969, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"lying\", 2], [\"not\", [\"->\", [\"tel... | {"split": "train", "index": 13081} |
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: Alexander, James, Benjamin, Henry, and Emma. Alexander was heard saying, \"Benjamin is a sage\". James told you that (Benjamin is a sage or Henry is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1970, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 2... | {"split": "train", "index": 13082} |
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: Scarlett, Elizabeth, Noah, Jacob, and Henry. Scarlett noted, \"(Noah is a villain or Scarlett is a hero) and (Noah is a hero and Henry is a hero and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1971, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"lying\", 0], [\"or\", [\"or\", [... | {"split": "train", "index": 13083} |
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, Sophia, Grace, Samuel, and Evelyn. Avery commented, \"if Evelyn is a villain then (Samuel is a villain or Evelyn is a villain or Avery is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1972, \"statements\": [[\"->\", [\"lying\", 4], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"<=>\", [\"lying\", 2], [\"telli... | {"split": "train", "index": 13084} |
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, Matthew, Abigail, Mason, and Oliver. Jacob noted, \"Mason is a sinner\". Matthew expressed that (Abigail is a saint or Matthew is a saint or J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1973, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying... | {"split": "train", "index": 13085} |
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, Emma, Michael, Liam, and Joseph. Alexander said, \"(if Alexander is an altruist then Joseph is an altruist) or Alexander is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1974, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"lying\", 3], [\"and\", [\"->\",... | {"split": "train", "index": 13086} |
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: Ethan, Zoey, Benjamin, James, and Joseph. Ethan said that it is not the case that (James is a pioneer). Zoey said that Ethan is a pioneer. As B... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1975, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 0], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-... | {"split": "train", "index": 13087} |
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, Oliver, Sebastian, Aiden, and Daniel. In Luke's words: \"Daniel is a devil\". Oliver said, \"if (Aiden is a devil) then (if Sebastian is a devil ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1976, \"statements\": [[\"lying\", 4], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"a... | {"split": "train", "index": 13088} |
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: Jack, Mia, Charlotte, Oliver, and Matthew. Jack remarked, \"it is not the case that (if Jack is a sage then Charlotte is a sage)\". Mia was heard saying, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1977, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"not... | {"split": "train", "index": 13089} |
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: Benjamin, Sophia, Joseph, Ava, and Lucas. Benjamin said, \"(Sophia is a fool and Joseph is a fool and Ava is a fool) if and only if (Ava is a sage and Luca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1978, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-trut... | {"split": "train", "index": 13090} |
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: Ethan, Grace, Zoey, Avery, and Ella. \"(Ella is an angel) or Grace is a devil or (if Zoey is an angel then Avery is a devil) or (Zoey is a devil and Et... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1979, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"lying\", 1], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-tru... | {"split": "train", "index": 13091} |
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: Penelope, Matthew, Liam, Riley, and James. \"it is not the case that (if Matthew is a sinner then Liam is a saint),\" Penelope claimed. Matthew comme... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1980, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"telling-tru... | {"split": "train", "index": 13092} |
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, Ella, Mia, Michael, and Owen. Emma was heard saying, \"Ella is an angel if and only if (Mia is a devil)\". Ella asserted: \"it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1981, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling... | {"split": "train", "index": 13093} |
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, Jackson, Sophia, Aiden, and Lily. As Logan put it, \"it is not the case that (Sophia is an altruist if and only if Jackson is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1982, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"lying\", 2], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 1], [\"and\", [\"lying\", 3], [\"te... | {"split": "train", "index": 13094} |
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, Sophia, Aurora, Chloe, and Evelyn. Henry expressed that it is not the case that (Aurora is a knight). In Sophia's words: \"Aurora is a knight\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1983, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"lying\", 2]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"lying\", 4], [\"<=>\", [\"lying\", 4], [\"lying\", ... | {"split": "train", "index": 13095} |
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: Penelope, Charlotte, Avery, Emily, and William. Penelope commented, \"if (Penelope is a knight or Emily is a knight or Charlotte is a knave or Charlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1984, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"lying\", 2], [\"and\", [\"or\", [\"lying\"... | {"split": "train", "index": 13096} |
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, Joseph, Owen, Abigail, and Evelyn. In Benjamin's words: \"Owen is a hero\". Joseph asserted: \"Benjamin is a hero\". Owen said that (Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1985, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"<=>\... | {"split": "train", "index": 13097} |
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, Scarlett, Grace, David, and Daniel. Oliver stated, \"Daniel is a knave or (if Grace is a knight then Daniel is a knight)\". Scarlett commente... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1986, \"statements\": [[\"or\", [\"lying\", 4], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"lying\", 4], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 13098} |
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: Amelia, Victoria, Sofia, Aurora, and Daniel. Amelia commented, \"(if Aurora is a sinner then Amelia is a saint) or (Daniel is a saint)\". In Victoria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1987, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 13099} |
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