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 altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Joseph, Ethan, Jacob, and Emily. \"it is not the case that (if Ethan is an egoist then Emily is an altruist),\" Charlotte mentioned.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1810, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 4],... | {"split": "train", "index": 10700} |
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, Michael, Noah, Oliver, and Harper. As William put it, \"(if Oliver is an egoist then William is an altruist) or (Harper is an egoist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1811, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 1]... | {"split": "train", "index": 10701} |
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: James, Sophia, Joseph, Aurora, and Luke. According to James, \"it is not the case that (James is an egoist)\". Sophia said that Aurora is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1812, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"lying\", 3], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2... | {"split": "train", "index": 10702} |
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: Jacob, Oliver, Benjamin, Mia, and Grace. \"Grace is a villain,\" Jacob claimed. In a statement by Oliver: \"(Benjamin is a villain or Oliver is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1813, \"statements\": [[\"lying\", 4], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", ... | {"split": "train", "index": 10703} |
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: Alexander, Liam, Luke, Chloe, and Logan. Alexander was heard saying, \"Liam is a sinner\". Liam remarked, \"Luke is a sinner or (Luke is a saint and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1814, \"statements\": [[\"lying\", 1], [\"or\", [\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\... | {"split": "train", "index": 10704} |
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, Grace, Aiden, Olivia, and Sofia. Lily said, \"Aiden is a hero.\" Grace commented, \"(if Olivia is a villain then Aiden is a villain) and (if Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1815, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 0]]], [... | {"split": "train", "index": 10705} |
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: Sofia, Aiden, Grace, Ethan, and Charlotte. Sofia said that if (Aiden is a saint or Grace is a sinner or Ethan is a saint) then (Charlotte is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1816, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 3], [\"o... | {"split": "train", "index": 10706} |
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: Aria, Ethan, Luke, Aiden, and Ava. \"Ava is a fool or (if Aria is a sage then Ava is a sage) or (Ethan is a sage),\" Aria mentioned. \"(Aria is a sage if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1817, \"statements\": [[\"or\", [\"lying\", 4], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"lying\", 0], [\"not\", [\"te... | {"split": "train", "index": 10707} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ella, Benjamin, Joseph, Elizabeth, and Isabella. Ella was heard saying, \"if Ella is a saint then (Elizabeth is a saint or Benjamin is a sinner or Is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1818, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"not\", [\"lying\", 3]]],... | {"split": "train", "index": 10708} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lily, Liam, Abigail, Henry, and Harper. According to Lily, \"(Abigail is a sage if and only if Henry is a sage) if and only if (Liam is a fool)\". Liam rem... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1819, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 0], [\"telling-tr... | {"split": "train", "index": 10709} |
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, Aurora, Aiden, Emily, and Olivia. Benjamin told you that it is not the case that (Benjamin is a sage if and only if Aiden is a sage). \"it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1820, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 0], [... | {"split": "train", "index": 10710} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Owen, Victoria, William, and Oliver. Charlotte remarked, \"(Owen is a knave) if and only if Oliver is a knight\". Owen remarked, \"(Victor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1821, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"and\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-tr... | {"split": "train", "index": 10711} |
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: Aiden, Ava, Sophia, James, and Riley. Aiden said, \"(Sophia is a devil and Ava is a devil and Sophia is an angel) and (Riley is a devil or Aiden is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1822, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\"... | {"split": "train", "index": 10712} |
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, Mia, Michael, Ethan, and Isabella. \"(Mia is an egoist) or (Michael is an egoist),\" Sophia mentioned. In Mia's words: \"if (Ethan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1823, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 4], [\"telling... | {"split": "train", "index": 10713} |
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, Sofia, Aria, Mason, and Abigail. \"(Abigail is a sinner or Mason is a saint or Abigail is a saint) if and only if (Mason is a sinner or Mason... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1824, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\"... | {"split": "train", "index": 10714} |
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: Mason, Ethan, Joseph, Penelope, and Charlotte. Mason said, \"Charlotte is a pioneer if and only if Charlotte is a laggard.\" Ethan expressed th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1825, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"an... | {"split": "train", "index": 10715} |
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: Riley, Benjamin, Alexander, Lily, and Lucas. \"(Riley is an angel and Lucas is an angel and Lily is a devil) and Alexander is a devil and (Lucas is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1826, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 3]], [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying... | {"split": "train", "index": 10716} |
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, Olivia, Lucas, Benjamin, and Ava. In a statement by Harper: \"(Ava is a devil) and (if Ava is an angel then Lucas is an angel) and (if Olivia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1827, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"->\", [\"lying\", 0], [\"telling-tru... | {"split": "train", "index": 10717} |
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: Jackson, Penelope, Sofia, Lily, and Mia. As Jackson put it, \"if (Jackson is a saint and Penelope is a saint) then (Jackson is a saint or Lily is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1828, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\... | {"split": "train", "index": 10718} |
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, Daniel, Jack, Aria, and Abigail. Noah noted, \"(Jack is a saint or Daniel is a sinner) or (if Aria is a sinner then Daniel is a saint) or (Abig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1829, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"<... | {"split": "train", "index": 10719} |
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, Avery, Ethan, Lily, and Oliver. \"it is not the case that (Lily is a sinner or Ethan is a sinner),\" Samuel claimed. Avery said that Lily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1830, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"an... | {"split": "train", "index": 10720} |
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, Michael, Elizabeth, Penelope, and Samuel. In Jackson's words: \"(Samuel is a laggard if and only if Michael is a laggard) or (Elizabet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1831, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 2]], [\"or\... | {"split": "train", "index": 10721} |
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, Avery, Emily, Owen, and Benjamin. Sebastian noted, \"Benjamin is an angel\". Avery said that Benjamin is an angel. Emily was heard saying, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1832, \"statements\": [[\"not\", [\"lying\", 4]], [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 10722} |
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: Amelia, Logan, Noah, Scarlett, and Matthew. Amelia asserted: \"(if Scarlett is a sage then Noah is a fool) and (Logan is a fool if and only if Noah is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1833, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 10723} |
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, Harper, Avery, Isabella, and Owen. \"it is not the case that (Avery is a knave or Alexander is a knight),\" Alexander claimed. Harper told... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1834, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"lying\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 4]], [\... | {"split": "train", "index": 10724} |
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: Henry, Olivia, Owen, Harper, and Jacob. Henry noted, \"Owen is a devil\". As Olivia put it, \"Henry is an angel if and only if (Jacob is a devil)\". Ow... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1835, \"statements\": [[\"lying\", 2], [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"lying\", 4], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\",... | {"split": "train", "index": 10725} |
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: Liam, William, Zoey, Jack, and Amelia. \"(if William is an altruist then Jack is an egoist) and (Jack is an egoist and Amelia is an altruist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1836, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"->\", [\"telli... | {"split": "train", "index": 10726} |
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: Olivia, Oliver, Victoria, Ava, and Matthew. Olivia was heard saying, \"(Matthew is an angel) and (Ava is an angel)\". In a statement by Oliver: \"if (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1837, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"not\", [\"or\", [\"lying... | {"split": "train", "index": 10727} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ella, Emily, Aurora, Harper, and Joseph. In Ella's words: \"Joseph is a saint\". Emily told you that if (Joseph is a sinner and Aurora is a saint) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1838, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 0]]], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 10728} |
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: Mia, Lily, Olivia, Noah, and Samuel. Mia stated, \"if (Olivia is a knave or Mia is a knight) then Lily is a knave\". \"Noah is a knave if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1839, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"lying\", 3], [\"and\", [\"lyin... | {"split": "train", "index": 10729} |
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, Victoria, James, William, and Samuel. \"it is not the case that (Victoria is a knave and Samuel is a knight),\" Lily claimed. Victoria told you... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1840, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1],... | {"split": "train", "index": 10730} |
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, Scarlett, Harper, Sophia, and Penelope. Ava said that (Penelope is a saint) and (Scarlett is a saint or Penelope is a saint or Sophia is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1841, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"lying\", 4], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"... | {"split": "train", "index": 10731} |
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: Jackson, Grace, Chloe, Harper, and Abigail. Jackson said that it is not the case that (Abigail is a villain and Jackson is a hero and Grace is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1842, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 0]], [\"lying\", 4]], [\"->\", [\"and\",... | {"split": "train", "index": 10732} |
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: Noah, Aurora, Ava, Victoria, and Alexander. \"if (Ava is a hero or Victoria is a hero or Ava is a villain) then (if Ava is a hero then Alexander is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1843, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0], [\"telling... | {"split": "train", "index": 10733} |
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, Jackson, Zoey, Luke, and Charlotte. \"(Luke is a saint or Jackson is a sinner) if and only if (if Luke is a sinner then Luke is a saint)\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1844, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 3], [\"not... | {"split": "train", "index": 10734} |
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: Lily, James, Penelope, Matthew, and Lucas. Lily told you that (Lucas is a sinner and Matthew is a sinner) and (James is a sinner if and only if Lucas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1845, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\... | {"split": "train", "index": 10735} |
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: Elizabeth, Victoria, Alexander, Luke, and Abigail. Elizabeth expressed that Luke is a hero if and only if (if Abigail is a villain then Victoria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1846, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"o... | {"split": "train", "index": 10736} |
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: Olivia, Jacob, Noah, Lucas, and Aurora. Olivia noted, \"it is not the case that (Lucas is a knight or Lucas is a knave or Jacob is a knave)\". Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1847, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 1]]], [\"lying\", 4], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], ... | {"split": "train", "index": 10737} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Lucas, Jack, Michael, and Chloe. Charlotte commented, \"it is not the case that (Chloe is a knave)\". Lucas was heard saying, \"(if Chloe ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1848, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"not\", [\"tellin... | {"split": "train", "index": 10738} |
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: Logan, Luke, Jacob, Emma, and Ethan. Logan noted, \"Emma is a sage\". \"Jacob is a fool or (Logan is a sage) or (Emma is a fool if and only if Emma is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1849, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"lying\", 2], [\"not\", [\"lying\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"lying\", 4], ... | {"split": "train", "index": 10739} |
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, Matthew, Olivia, Benjamin, and Avery. Grace asserted: \"(Benjamin is a sage or Olivia is a sage) or (if Benjamin is a fool then Avery is a sage)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1850, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"lying\", 1], [\"->\", [\"->\", [\"ly... | {"split": "train", "index": 10740} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Penelope, Owen, Emily, and Harper. Scarlett said that Scarlett is a knight. In Penelope's words: \"Harper is a knight\". According to Owen,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1851, \"statements\": [[\"telling-truth\", 0], [\"telling-truth\", 4], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"lying\", 0], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 0]], [\"not\",... | {"split": "train", "index": 10741} |
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, Evelyn, Benjamin, Victoria, and Emma. Abigail noted, \"it is not the case that (Emma is a laggard)\". \"(Emma is a pioneer or Evelyn i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1852, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\"... | {"split": "train", "index": 10742} |
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: Harper, Ava, Chloe, Liam, and Jacob. In Harper's words: \"(Ava is a laggard) if and only if (Ava is a laggard or Ava is a pioneer)\". Ava was h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1853, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"telling-truth\", 2], [\"and\", [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\... | {"split": "train", "index": 10743} |
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: Daniel, Jacob, Emma, Luke, and Mia. Daniel said that it is not the case that (if Jacob is a knave then Emma is a knight). In Jacob's words: \"Emma is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1854, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 2]], [\"lying\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"tel... | {"split": "train", "index": 10744} |
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: Evelyn, Sebastian, Aurora, Luke, and David. In Evelyn's words: \"David is a knave\". \"Luke is a knight or Evelyn is a knight\" - Sebastian. As Auror... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1855, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-truth\", 4], [\"not\", ... | {"split": "train", "index": 10745} |
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, Isabella, Mia, Sofia, and Mason. David asserted: \"(if Mia is a devil then Sofia is an angel) and (Sofia is a devil or Sofia is an angel or Maso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1856, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4]]], [\"telling-truth\", 2], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\... | {"split": "train", "index": 10746} |
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: James, Riley, Elizabeth, Jackson, and Scarlett. James was heard saying, \"it is not the case that (Jackson is an egoist)\". As Riley put it, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1857, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 0]]], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"and\",... | {"split": "train", "index": 10747} |
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: Zoey, Lucas, Samuel, Evelyn, and Jacob. In Zoey's words: \"Jacob is a villain if and only if (Jacob is a hero or Zoey is a hero or Samuel is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1858, \"statements\": [[\"<=>\", [\"lying\", 4], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"or\... | {"split": "train", "index": 10748} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Isabella, Riley, Emma, Charlotte, and Noah. \"(Riley is an angel or Isabella is an angel) or Noah is a devil or Emma is a devil,\" Isabella mentioned. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1859, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"lying\", 4], [\"lyin... | {"split": "train", "index": 10749} |
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: Aurora, Riley, James, Sophia, and Matthew. As Aurora put it, \"(Matthew is a knave) or (Riley is a knight if and only if Matthew is a knave)\". Riley... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1860, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"te... | {"split": "train", "index": 10750} |
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, Logan, Scarlett, Ethan, and Aurora. \"Ethan is an altruist,\" Michael mentioned. Logan said, \"if (Scarlett is an egoist or Ethan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1861, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\... | {"split": "train", "index": 10751} |
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: Sophia, Mia, Penelope, David, and Ava. Sophia said, \"(Sophia is a hero and Ava is a hero) if and only if (Ava is a hero if and only if David is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1862, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 2], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-trut... | {"split": "train", "index": 10752} |
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: Riley, Aiden, Emma, Daniel, and Ava. According to Riley, \"(Ava is an angel or Emma is an angel or Aiden is a devil) and (Aiden is an angel) and (Danie... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1863, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 1... | {"split": "train", "index": 10753} |
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, Sebastian, Avery, and Oliver. Matthew asserted: \"Avery is a saint\". Olivia commented, \"if (Sebastian is a saint if and only if Se... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1864, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 0], [\"tell... | {"split": "train", "index": 10754} |
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, Mia, David, Scarlett, and Victoria. Luke stated, \"if (Victoria is a devil if and only if David is an angel) then Scarlett is a devil\". Mia told... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1865, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 3]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"lying\", 3], [\"->\", [\"not\", [\"lying\", 0]], [\"not\", [\... | {"split": "train", "index": 10755} |
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: Amelia, Alexander, Zoey, Aiden, and Emily. Amelia asserted: \"(Aiden is a villain if and only if Zoey is a villain) and Aiden is a villain and (Alexa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1866, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 10756} |
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, Henry, Ava, Noah, and Aria. Ella remarked, \"(if Ava is a villain then Ella is a hero) or (Henry is a villain or Aria is a villain) or (Henry i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1867, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 4], [\"<=>\",... | {"split": "train", "index": 10757} |
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, Lily, Evelyn, Aiden, and Emma. \"Evelyn is a knight,\" Joseph mentioned. \"(Joseph is a knave) and (Emma is a knight and Lily is a knight and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1868, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], ... | {"split": "train", "index": 10758} |
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: Henry, Harper, Aiden, Ethan, and Samuel. Henry asserted: \"if (Samuel is a pioneer) then (Aiden is a laggard or Samuel is a pioneer or Henry is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1869, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"lyin... | {"split": "train", "index": 10759} |
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, Sophia, Emma, Lucas, and Zoey. Jacob remarked, \"if (Lucas is a knave or Sophia is a knight) then (Emma is a knight)\". Sophia commented, \"(i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1870, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"a... | {"split": "train", "index": 10760} |
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, Victoria, Ava, Mason, and Aria. \"(Noah is an angel if and only if Ava is a devil) and (Victoria is a devil if and only if Aria is a devil) and M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1871, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or... | {"split": "train", "index": 10761} |
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, Daniel, Mia, Jack, and Amelia. Matthew stated, \"(if Mia is an egoist then Amelia is an egoist) or Mia is an egoist or (Daniel is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1872, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"lying\", 2], [\"not\", [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 0]]], [\"lying\", 1], [\"<=>... | {"split": "train", "index": 10762} |
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, Aurora, Ella, Jacob, and Avery. In a statement by Elizabeth: \"(Jacob is a knave or Jacob is a knight or Ella is a knight) or (Elizabeth i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1873, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\... | {"split": "train", "index": 10763} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Zoey, Harper, Emily, Elizabeth, and Amelia. \"if (Zoey is a sage and Elizabeth is a sage and Amelia is a fool) then Elizabeth is a fool,\" Zoey mentioned. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1874, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4]], [\"lying\", 3]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"tellin... | {"split": "train", "index": 10764} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Sebastian, Aurora, Ava, and Amelia. Harper told you that (Ava is a knight and Aurora is a knight and Amelia is a knave) if and only if Aurora... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1875, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], ... | {"split": "train", "index": 10765} |
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: Jackson, Henry, Sebastian, Sophia, and Alexander. \"Sophia is a fool,\" Jackson declared. Henry noted, \"Jackson is a sage\". \"Alexander is a fool or (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1876, \"statements\": [[\"lying\", 3], [\"telling-truth\", 0], [\"or\", [\"lying\", 4], [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 0], [... | {"split": "train", "index": 10766} |
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, Harper, Sophia, Scarlett, and Victoria. Amelia stated, \"Harper is a knave\". In Harper's words: \"(Victoria is a knight) or (Victoria is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1877, \"statements\": [[\"lying\", 1], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"and\", [\"telling-truth\", 0], [\"and\", [\"te... | {"split": "train", "index": 10767} |
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: Logan, James, Scarlett, Riley, and Samuel. Logan said that (Samuel is a villain and Samuel is a hero) or (if Samuel is a hero then Scarlett is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1878, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\"... | {"split": "train", "index": 10768} |
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, Jackson, Luke, Ava, and Michael. In Liam's words: \"(Jackson is an angel and Luke is an angel) or (Ava is a devil) or (Liam is a devil)\". \"it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1879, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"... | {"split": "train", "index": 10769} |
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: Owen, Elizabeth, Sophia, Aiden, and Ella. In Owen's words: \"(Elizabeth is a sinner) or (Aiden is a saint)\". In Elizabeth's words: \"Owen is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1880, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"lying\", 0], [\"not\", [\"not\", [\"lying\", 1]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 0], [\"ly... | {"split": "train", "index": 10770} |
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: Charlotte, Samuel, Sofia, Jack, and Owen. Charlotte told you that (Jack is a villain if and only if Samuel is a hero) or (Samuel is a hero or Charlot... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1881, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 3], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"telling-tr... | {"split": "train", "index": 10771} |
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, Aiden, Emma, Samuel, and Alexander. Grace stated, \"it is not the case that (Emma is a knight)\". Aiden commented, \"if (Alexander is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1882, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying... | {"split": "train", "index": 10772} |
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, Aurora, Penelope, Liam, and Elizabeth. \"if (Liam is a devil and Aurora is a devil) then (if Scarlett is an angel then Penelope is a devil),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1883, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 3], [\"lying\", 0], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"->\", [\"lyi... | {"split": "train", "index": 10773} |
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, Grace, Zoey, Samuel, and Logan. Sebastian expressed that it is not the case that (Zoey is a knight or Samuel is a knight). Grace noted, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1884, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 0], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 0... | {"split": "train", "index": 10774} |
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: Michael, Ella, Joseph, Emily, and Sebastian. Michael told you that (Ella is a knight and Sebastian is a knave and Emily is a knight) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1885, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"lying\", 3], [\"and\", [\"and\"... | {"split": "train", "index": 10775} |
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, Jack, David, Sebastian, and Ava. In a statement by Logan: \"if (Logan is an altruist and Jack is an altruist and David is an altruist) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1886, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0],... | {"split": "train", "index": 10776} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: William, Olivia, Daniel, Joseph, and Jackson. In a statement by William: \"Daniel is an angel\". \"(William is a devil and Jackson is an angel) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1887, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"te... | {"split": "train", "index": 10777} |
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: Elizabeth, Victoria, Olivia, Noah, and Jackson. Elizabeth commented, \"if (Jackson is a pioneer if and only if Victoria is a pioneer) then Noah... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1888, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 3]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"telli... | {"split": "train", "index": 10778} |
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: Chloe, Abigail, Henry, Ava, and Liam. In Chloe's words: \"(Abigail is a devil and Ava is a devil and Chloe is an angel) if and only if (Abigail is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1889, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 2]], [\"or\", [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 10779} |
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, Alexander, Riley, Benjamin, and Victoria. Luke said that Victoria is a sinner. In Alexander's words: \"if (Victoria is a sinner and Luke is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1890, \"statements\": [[\"lying\", 4], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"lying\", 3], [\"or\", [\"lying\", 1], [\"or\", [\... | {"split": "train", "index": 10780} |
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, Lucas, Ava, Aiden, and Aurora. Jack noted, \"(Ava is a saint) or (if Aiden is a saint then Ava is a saint) or (Ava is a saint and Aiden is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1891, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 0]... | {"split": "train", "index": 10781} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Noah, Penelope, Jackson, and Owen. \"if (Owen is a knight) then Jackson is a knight\" - Abigail. Noah said that it is not the case that (Abi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1892, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"... | {"split": "train", "index": 10782} |
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: Amelia, Isabella, James, Emma, and Sofia. Amelia asserted: \"(James is a villain) or (Amelia is a villain) or (Sofia is a villain if and only if Jame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1893, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 3], [\"and\", [\"lying\", 3], [\"telling-truth\", 2... | {"split": "train", "index": 10783} |
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: Emily, Noah, Daniel, Mason, and Aiden. As Emily put it, \"(Noah is an angel) or (Noah is a devil if and only if Emily is an angel) or (if Daniel is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1894, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"not\", [\"or\", [\"telling-tru... | {"split": "train", "index": 10784} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Abigail, Aiden, Grace, Penelope, and Evelyn. \"(Grace is a devil) and (Penelope is a devil if and only if Penelope is an angel),\" Abigail declared. Ai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1895, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\",... | {"split": "train", "index": 10785} |
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, David, William, Jackson, and Jacob. \"Jackson is a hero,\" Michael declared. David asserted: \"if (David is a hero and Jacob is a hero and M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1896, \"statements\": [[\"not\", [\"lying\", 3]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"and\", [\"lying\", 0], [\"lying\", 3]]... | {"split": "train", "index": 10786} |
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: Victoria, Henry, Benjamin, Olivia, and Michael. In Victoria's words: \"it is not the case that (Victoria is a sage or Olivia is a sage)\". Henry said, \"(V... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1897, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"not\", [\"tel... | {"split": "train", "index": 10787} |
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: Sofia, Mason, Olivia, Ava, and Ethan. Sofia stated, \"Mason is a knight\". \"(Mason is a knight if and only if Ethan is a knight) or (Olivia is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1898, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 10788} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Samuel, Henry, Amelia, Lily, and Victoria. In Samuel's words: \"it is not the case that (if Henry is an egoist then Amelia is an altruist)\". \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1899, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 0], [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"l... | {"split": "train", "index": 10789} |
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: Jackson, Victoria, Daniel, Noah, and Grace. Jackson said that Victoria is a fool. Victoria was heard saying, \"if (Jackson is a fool) then (Noah is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1900, \"statements\": [[\"lying\", 1], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"lying\", 0], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"... | {"split": "train", "index": 10790} |
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, Isabella, Charlotte, Elizabeth, and Alexander. Harper remarked, \"Isabella is a sinner and (Elizabeth is a saint)\". \"(Alexander is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1901, \"statements\": [[\"and\", [\"lying\", 1], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"not\", ... | {"split": "train", "index": 10791} |
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: Elizabeth, Olivia, Avery, William, and Aurora. In Elizabeth's words: \"(Aurora is a laggard and Aurora is a pioneer) or (if Aurora is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1902, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"... | {"split": "train", "index": 10792} |
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: Amelia, Victoria, David, Alexander, and Lily. In Amelia's words: \"David is a villain or (Amelia is a hero and Alexander is a hero) or (Victoria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1903, \"statements\": [[\"or\", [\"lying\", 2], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"lying\", 4], [\"lying\", 1], [\"not\", [\"not\", [\"telling-truth\", 0]]... | {"split": "train", "index": 10793} |
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: Ava, Elizabeth, Samuel, Sebastian, and Harper. Ava remarked, \"Samuel is an altruist\". According to Elizabeth, \"if Harper is an altruist then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1904, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"tel... | {"split": "train", "index": 10794} |
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, Chloe, Joseph, Amelia, and Daniel. Evelyn said, \"Daniel is an egoist.\" In Chloe's words: \"Joseph is an egoist\". Joseph commented, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1905, \"statements\": [[\"lying\", 4], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"lying\", 2], [\"not\",... | {"split": "train", "index": 10795} |
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, Avery, Ella, Sofia, and Henry. Amelia asserted: \"Henry is a knight\". Avery expressed that (Avery is a knave) or (Sofia is a knave) or (Aver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1906, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"->\", [\"tel... | {"split": "train", "index": 10796} |
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, Benjamin, Emily, Henry, and Logan. Harper was heard saying, \"(Logan is a devil) or (Logan is an angel if and only if Henry is an angel) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1907, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 2]... | {"split": "train", "index": 10797} |
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, Aria, Ethan, Henry, and Samuel. \"Aria is a knight,\" Elizabeth mentioned. According to Aria, \"(if Samuel is a knave then Henry is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1908, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telli... | {"split": "train", "index": 10798} |
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: Zoey, Joseph, Mia, Emily, and Charlotte. \"(Emily is a hero) and (Emily is a villain if and only if Mia is a hero) and (Joseph is a villain if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1909, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"lying\", 0], [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-tr... | {"split": "train", "index": 10799} |
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