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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 9 inhabitants: Riley, Aiden, Mason, Jackson, Sofia, Amelia, Victoria, Lucas, and Mia. In Riley's words: \"Mia is an angel or (Victoria is an angel if and only if Maso...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1832, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 7], [\"lying\", 8]]], [\"not\", [\"and\", [\"lying\", 8], [\"t...
{"split": "train", "index": 8500}
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 9 inhabitants: Ella, Grace, Elizabeth, Aurora, Harper, Noah, David, Sofia, and Olivia. \"(if Harper is a hero then Ella is a hero) and (David is a hero),\" Ella men...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1833, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 6]]], [\"->\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"->\", [\"no...
{"split": "train", "index": 8501}
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 9 inhabitants: William, Abigail, Liam, Joseph, Scarlett, Noah, Elizabeth, Mason, and Sebastian. According to William, \"if (Sebastian is a knave and Elizabeth is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1834, \"statements\": [[\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 6]], [\"telling-truth\", 6]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 5]]]...
{"split": "train", "index": 8502}
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 9 inhabitants: Charlotte, Scarlett, Chloe, Aria, Avery, Evelyn, Emily, Owen, and Henry. \"Avery is a devil\" - Charlotte. Scarlett remarked, \"(Henry is an angel or A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1835, \"statements\": [[\"lying\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 3]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 0]...
{"split": "train", "index": 8503}
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 9 inhabitants: Harper, Penelope, Mason, David, Isabella, Alexander, Amelia, Logan, and Aria. \"David is a pioneer,\" Harper mentioned. As Penelope put it, \"(...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1836, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 8]], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 5]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 8]], [\"lyin...
{"split": "train", "index": 8504}
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 9 inhabitants: Ava, Daniel, Olivia, Samuel, David, Matthew, Alexander, Elizabeth, and Aria. Ava remarked, \"Olivia is a devil\". Daniel asserted: \"Ava is an angel\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1837, \"statements\": [[\"lying\", 2], [\"telling-truth\", 0], [\"not\", [\"lying\", 5]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 6]...
{"split": "train", "index": 8505}
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 9 inhabitants: Alexander, Sofia, Michael, Benjamin, Amelia, Avery, Harper, Owen, and William. Alexander was heard saying, \"William is a pioneer\". Sofia said...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1838, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\...
{"split": "train", "index": 8506}
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 9 inhabitants: Victoria, Matthew, Jack, James, Charlotte, Noah, Penelope, Oliver, and Grace. Victoria asserted: \"(Jack is a knight or Oliver is a knight) and (Jame...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1839, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 7]], [\"->\", [\"telling-truth\", 7...
{"split": "train", "index": 8507}
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 9 inhabitants: Jackson, Aurora, Isabella, Logan, Daniel, Chloe, Jacob, Liam, and Abigail. Jackson asserted: \"if (Isabella is a knave or Chloe is a knave) then (Log...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1840, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"lying\", 5]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]...
{"split": "train", "index": 8508}
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 9 inhabitants: Sebastian, Ethan, Sophia, Sofia, Amelia, Jack, Mason, Noah, and Mia. Sebastian said that (if Mia is a devil then Mason is a devil) or (if Sofia is a de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1841, \"statements\": [[\"or\", [\"->\", [\"lying\", 8], [\"lying\", 6]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 8], [\"->\", [\"or\", [\"lying\", 7], [\"lying\", 5]], [\"<=>\", [\"lying\", 1], ...
{"split": "train", "index": 8509}
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 9 inhabitants: Benjamin, Samuel, Noah, Logan, William, Sebastian, Grace, Jackson, and Luke. As Benjamin put it, \"(if Jackson is a sinner then Noah is a sinner) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1842, \"statements\": [[\"or\", [\"->\", [\"lying\", 7], [\"lying\", 2]], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"not\", [\"lying\", ...
{"split": "train", "index": 8510}
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 9 inhabitants: Aurora, Oliver, Avery, Isabella, Jackson, Ava, Zoey, Olivia, and Amelia. Aurora remarked, \"(if Zoey is a knight then Zoey is a knave) and (Amelia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1843, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 6]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 8]], [\"or\", [\"lying\", 2], [\"tel...
{"split": "train", "index": 8511}
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 9 inhabitants: Alexander, Emily, Abigail, William, Ethan, Evelyn, David, Aria, and Riley. Alexander expressed that (Evelyn is a laggard) if and only if (if Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1844, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 5]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-trut...
{"split": "train", "index": 8512}
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 9 inhabitants: Mason, Emma, Jackson, Michael, Aurora, Charlotte, Joseph, Matthew, and Harper. \"(if Charlotte is a fool then Mason is a sage) if and only if (Emma is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1845, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"<=>\", [\"not\", [\"telling-truth\"...
{"split": "train", "index": 8513}
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 9 inhabitants: Amelia, Jack, Chloe, Joseph, Charlotte, Zoey, Benjamin, Aurora, and Riley. In Amelia's words: \"(if Zoey is a fool then Joseph is a sage) or (Joseph is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1846, \"statements\": [[\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 7],...
{"split": "train", "index": 8514}
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 9 inhabitants: Riley, Matthew, Zoey, Aurora, Aria, Avery, Lucas, Jackson, and Victoria. According to Riley, \"(if Jackson is a saint then Aurora is a sinner) or (Ma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1847, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"lying\", 4], [\"telling-truth\", 1], [\"<=>\", [\"lying\", 6], [\"or\", [\"telling-truth\", 0], [...
{"split": "train", "index": 8515}
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 9 inhabitants: Aria, Luke, Ethan, Jackson, Grace, Lily, Emma, Owen, and Benjamin. Aria commented, \"(Benjamin is a knave or Lily is a knight) and Luke is a knight\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1848, \"statements\": [[\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5]], [\"telling-truth\", 1]], [\"telling-truth\", 2], [\"->\", [\"lying\", 5], [\"->\", [\"lying\", 4], [\"lying\", 5]]], [\"not\", [\"->\", [\"lyin...
{"split": "train", "index": 8516}
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 9 inhabitants: Isabella, Harper, Oliver, Sebastian, Aurora, William, Aiden, Owen, and Luke. Isabella was heard saying, \"Harper is a devil\". In a statement by Harper...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1849, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 7]], [\"and\", [\"lying\", 8], [\"lying\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]]...
{"split": "train", "index": 8517}
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 9 inhabitants: Jacob, Emma, Lily, William, Jackson, Victoria, Avery, Sofia, and Grace. In Jacob's words: \"it is not the case that (Sofia is an egoist)\". Emm...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1850, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"t...
{"split": "train", "index": 8518}
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 9 inhabitants: Jackson, Jacob, Aiden, Grace, Emma, Ella, Zoey, Owen, and Michael. \"it is not the case that (if Emma is a fool then Zoey is a sage),\" Jackson claimed. \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1851, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"lying\", 7], [\"not\", [\"->\", [\"lying\", 8], [\"lying\", 6]]], [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 4]]], [\"<=>\", [\...
{"split": "train", "index": 8519}
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 9 inhabitants: Henry, Daniel, Liam, Victoria, Sophia, Olivia, Evelyn, Avery, and Ethan. Henry commented, \"(Olivia is an altruist if and only if Ethan is an e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1852, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"lying\", 0]], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"telling-t...
{"split": "train", "index": 8520}
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 9 inhabitants: Charlotte, Emma, Olivia, Oliver, Chloe, Sophia, William, David, and Victoria. Charlotte remarked, \"if (Oliver is a fool) then (Charlotte is a sage or Emma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1853, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"lying\", 3], [\"and\", [\"<=>\", [\"lying\", 7], [\"lying\", 8]], [\"->\", [\"telling-truth\", 0], [\"lyi...
{"split": "train", "index": 8521}
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 9 inhabitants: Owen, Lucas, Noah, Sophia, Isabella, Grace, William, Charlotte, and Olivia. Owen told you that Olivia is a pioneer. Lucas commented, \"if (Isab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1854, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"or\", [\"lying\", 7], [\"->\", [\"lying\", 0], [\"telling-truth\...
{"split": "train", "index": 8522}
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 9 inhabitants: Emily, Abigail, Daniel, Olivia, Ethan, Jacob, Lily, Charlotte, and Avery. \"(Olivia is a pioneer or Abigail is a laggard) and (if Lily is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1855, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"and\", [\"or\", [\"telling-truth\", 8], [\"lying\", 7]], [\"or\", [\"lying\", 5], [\"tell...
{"split": "train", "index": 8523}
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 9 inhabitants: Benjamin, Ella, Isabella, Lily, Riley, James, Samuel, Mia, and Joseph. Benjamin noted, \"Isabella is a pioneer\". \"if (Joseph is a laggard or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1856, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 6],...
{"split": "train", "index": 8524}
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 9 inhabitants: Aria, Henry, Alexander, Joseph, David, Zoey, Daniel, James, and Logan. Aria asserted: \"Alexander is a villain\". \"(David is a villain or David is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1857, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"and\", [\"lying\", 5], [\"lying\", 3]], [\"not\", [\"l...
{"split": "train", "index": 8525}
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 9 inhabitants: Jackson, Riley, Jack, Evelyn, Emily, Henry, Charlotte, Penelope, and Isabella. Jackson said, \"if (Penelope is a sinner or Charlotte is a saint) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1858, \"statements\": [[\"->\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 5]]], [\"telling-truth\", 3], [\"<=>\", [\"lying\", 4], [\"or\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"or\"...
{"split": "train", "index": 8526}
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 9 inhabitants: Benjamin, Zoey, Evelyn, Luke, Liam, Aurora, Mia, Alexander, and David. Benjamin commented, \"(Zoey is an altruist and Liam is an altruist) or A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1859, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"lying\", 7]], [\"lying\", 8], [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 1]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"...
{"split": "train", "index": 8527}
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 9 inhabitants: William, Aiden, Aurora, Henry, Riley, Sofia, Amelia, Owen, and Olivia. William said that if (Sofia is a fool or Riley is a fool) then (if Riley is a fool t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1860, \"statements\": [[\"->\", [\"or\", [\"lying\", 5], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lyin...
{"split": "train", "index": 8528}
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 9 inhabitants: Alexander, Benjamin, Lily, Mason, Chloe, Aiden, Elizabeth, Victoria, and Harper. According to Alexander, \"if (Victoria is an angel if and only if Chlo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1861, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], ...
{"split": "train", "index": 8529}
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 9 inhabitants: Benjamin, Oliver, Emma, Noah, Jackson, Emily, Ethan, Joseph, and Aria. \"Noah is an egoist,\" Benjamin mentioned. Oliver was heard saying, \"if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1862, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"->\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 4]], [\"lying\", 8], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"not\", [\"lying\", 5...
{"split": "train", "index": 8530}
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 9 inhabitants: Michael, Jack, Penelope, Alexander, Lily, Chloe, Matthew, Oliver, and Logan. Michael said that (if Chloe is a sinner then Michael is a saint) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1863, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"or\", [\"lying\", 0],...
{"split": "train", "index": 8531}
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 9 inhabitants: James, Alexander, Liam, Sofia, Owen, Matthew, Henry, Sophia, and Chloe. James remarked, \"(Owen is a pioneer and Sofia is a pioneer) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1864, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 6]], [\"not\", [\"lying\", 3]]], [...
{"split": "train", "index": 8532}
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 9 inhabitants: Mia, Riley, Avery, Mason, Sofia, Victoria, Owen, Abigail, and Sebastian. \"Victoria is an egoist\" - Mia. According to Riley, \"if (if Sebastia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1865, \"statements\": [[\"lying\", 5], [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 6]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"lying\", 8], [\"lying\", 2], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\...
{"split": "train", "index": 8533}
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 9 inhabitants: Victoria, Sofia, Liam, Benjamin, Alexander, James, Ella, Aurora, and Daniel. \"(James is a pioneer if and only if Ella is a pioneer) and (James...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1866, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"and\", [\"lying\", 5], [\"lying\", 8]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"telling-truth\", 3], [\"->...
{"split": "train", "index": 8534}
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 9 inhabitants: Mason, Benjamin, Chloe, James, Abigail, Ethan, Ella, Noah, and Logan. Mason told you that it is not the case that (if Logan is a sage then Abigail is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1867, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 8], [\"lying\...
{"split": "train", "index": 8535}
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 9 inhabitants: Evelyn, Lucas, Jack, Oliver, Alexander, Emily, Jackson, Isabella, and Penelope. According to Evelyn, \"Alexander is a hero or (Lucas is a villain or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1868, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [...
{"split": "train", "index": 8536}
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 9 inhabitants: Jackson, Mia, David, Mason, Charlotte, Aria, Matthew, Luke, and Grace. Jackson said that (Grace is a fool and David is a fool) or (if Mia is a sage then Gr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1869, \"statements\": [[\"or\", [\"and\", [\"lying\", 8], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 6]], [\"or\", [\"telling-truth\", 4], [\"lying\", 6]]...
{"split": "train", "index": 8537}
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 9 inhabitants: Evelyn, Scarlett, Penelope, Mia, Daniel, Logan, Victoria, Aria, and Henry. In Evelyn's words: \"Mia is a devil or (Henry is an angel if and only if Sca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1870, \"statements\": [[\"or\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"and...
{"split": "train", "index": 8538}
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 9 inhabitants: Charlotte, Henry, Zoey, Ethan, Daniel, Oliver, Jack, Riley, and Lucas. As Charlotte put it, \"it is not the case that (Ethan is a laggard or Ol...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1871, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 3],...
{"split": "train", "index": 8539}
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 9 inhabitants: William, Jacob, Harper, Avery, Mia, Liam, Oliver, Charlotte, and Luke. William said that if (Oliver is a fool if and only if Harper is a fool) then (if Har...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1872, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 6], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 3...
{"split": "train", "index": 8540}
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 9 inhabitants: Penelope, Aria, Daniel, Noah, Lily, Chloe, Victoria, Sophia, and Benjamin. Penelope remarked, \"Aria is a hero\". \"if (Sophia is a villain and Chloe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1873, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 5]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 5],...
{"split": "train", "index": 8541}
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 9 inhabitants: Jackson, Lily, Oliver, Harper, Sebastian, Grace, Avery, Chloe, and Evelyn. Jackson commented, \"if (Sebastian is a hero and Harper is a villain) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1874, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"-...
{"split": "train", "index": 8542}
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 9 inhabitants: Jacob, Penelope, Sofia, Harper, Joseph, Chloe, Luke, Henry, and Owen. Jacob said, \"if (Sofia is an altruist and Henry is an egoist) then (Sofi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1875, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 8], [\"telling-t...
{"split": "train", "index": 8543}
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 9 inhabitants: Aurora, David, Ethan, Logan, Matthew, Alexander, Lucas, Evelyn, and Jackson. Aurora was heard saying, \"(David is a sage) if and only if Logan is a sage\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1876, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 3]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 0], [...
{"split": "train", "index": 8544}
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 9 inhabitants: Abigail, David, Matthew, Daniel, James, Owen, Mason, Riley, and Logan. \"(Logan is an altruist or Riley is an egoist) or (Abigail is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1877, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"lying\", 5], [\"or\", [\"telling-truth\", 2], [\"not\", [\"lying\", 7]]], [\"and\", [\"te...
{"split": "train", "index": 8545}
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 9 inhabitants: Matthew, David, Aurora, Olivia, Harper, Mia, Penelope, Charlotte, and Sofia. \"(Mia is a pioneer) and (Sofia is a pioneer),\" Matthew declared....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1878, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 7]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"not\", [\"->\", [\"tell...
{"split": "train", "index": 8546}
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 9 inhabitants: Lily, David, Abigail, Olivia, Ava, Matthew, Aurora, Jacob, and Logan. Lily commented, \"(Ava is a knave if and only if Aurora is a knave) and (Ava is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1879, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 6]], [\"<=>\", [\"lying\", 4], [\"lying\", 8]]], [\"telling-truth\", 0], [\"lying\", 7], [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"<=>\", [\"...
{"split": "train", "index": 8547}
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 9 inhabitants: Ella, William, Grace, Mia, Owen, Evelyn, Henry, Jack, and Jackson. Ella commented, \"it is not the case that (Jackson is a devil and Grace is an angel)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1880, \"statements\": [[\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\"...
{"split": "train", "index": 8548}
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 9 inhabitants: Grace, Jackson, Penelope, Luke, Evelyn, Ava, Logan, Joseph, and David. Grace noted, \"(David is an angel if and only if Jackson is an angel) or Luke is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1881, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]]]...
{"split": "train", "index": 8549}
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 9 inhabitants: Emma, Harper, Lily, Riley, Ethan, Jack, Benjamin, Owen, and Ava. Emma noted, \"Owen is a laggard\". Harper said that (Ava is a pioneer or Emma ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1882, \"statements\": [[\"lying\", 7], [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 0]], [\"telling-truth\", 6]], [\"lying\", 5], [\"and\", [\"lying\", 0], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-t...
{"split": "train", "index": 8550}
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 9 inhabitants: Avery, Amelia, Scarlett, Emma, Luke, Michael, Zoey, Jackson, and Harper. \"Emma is a devil,\" Avery declared. Amelia told you that (Scarlett is an ange...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1883, \"statements\": [[\"lying\", 3], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"telling-truth\", 5], [\"->\", [\"<=>\", [\"telling-truth\", 1], [...
{"split": "train", "index": 8551}
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 9 inhabitants: Evelyn, Lily, Zoey, Jackson, Alexander, Emily, Logan, Scarlett, and Ethan. In Evelyn's words: \"(Lily is a hero or Alexander is a villain) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1884, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 7]]], [\"and\", [\"and\", [\"lying\", 8], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"lying\", 7]]], [\"or\", [\"not\",...
{"split": "train", "index": 8552}
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 9 inhabitants: Benjamin, Noah, Ethan, Isabella, Amelia, Samuel, Jack, William, and Lily. \"Samuel is a devil,\" Benjamin declared. As Noah put it, \"if (Samuel is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1885, \"statements\": [[\"lying\", 5], [\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7]], [\"or\", [\"lying\", 0], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"lying\", 1]], [\"->\"...
{"split": "train", "index": 8553}
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 9 inhabitants: Ella, Noah, Aria, Amelia, Logan, Aiden, Samuel, Ethan, and Mia. Ella noted, \"Samuel is a sage\". Noah asserted: \"(Samuel is a fool and Aria is a fool) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1886, \"statements\": [[\"telling-truth\", 6], [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 2]], [\"or\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"te...
{"split": "train", "index": 8554}
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 9 inhabitants: Amelia, Sofia, Lucas, Emily, Abigail, Victoria, Scarlett, William, and Mia. Amelia noted, \"if (Mia is a saint if and only if Victoria is a sinner) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1887, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]], [\"or\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"telling-truth\", 7], [\"telling-truth\", 5], [\"not\", [\"and\", [\"telling-truth\", 8], ...
{"split": "train", "index": 8555}
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 9 inhabitants: Aiden, Benjamin, Emma, Henry, Chloe, Elizabeth, Zoey, James, and Jack. Aiden noted, \"Jack is a sinner\". Benjamin was heard saying, \"if (James is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1888, \"statements\": [[\"not\", [\"telling-truth\", 8]], [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"lying\", 0], [\"->\", [\"or\", [\"telling-tru...
{"split": "train", "index": 8556}
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 9 inhabitants: Isabella, Victoria, Luke, Evelyn, Benjamin, Riley, David, Grace, and Michael. Isabella stated, \"it is not the case that (Victoria is a hero)\". Vict...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1889, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"telling-truth\", 1], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 6]], [\"and\", [\"telling-truth\"...
{"split": "train", "index": 8557}
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 9 inhabitants: Lily, Daniel, Chloe, Ella, Amelia, Emma, Logan, Luke, and Noah. Lily said, \"it is not the case that (Emma is a saint and Ella is a sinner).\" Daniel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1890, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"lying\", 6], [\"->\", [\"l...
{"split": "train", "index": 8558}
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 9 inhabitants: Emily, Owen, Ethan, Aria, Aurora, Mia, Chloe, Zoey, and Jack. Emily expressed that if (Aurora is a saint and Chloe is a sinner) then (if Aurora is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1891, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 6]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 8], [\"and\", [\"lying\", 8], [\"lying\", 6]]], [\"<=>\", [\"<=>\", [\"...
{"split": "train", "index": 8559}
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 9 inhabitants: Victoria, Scarlett, Ethan, Jacob, Luke, Daniel, Sophia, Aria, and Jackson. According to Victoria, \"Ethan is a sinner or (if Jackson is a saint then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1892, \"statements\": [[\"or\", [\"lying\", 2], [\"->\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"<=>\", [\"and\", [\"telling...
{"split": "train", "index": 8560}
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 9 inhabitants: Noah, Scarlett, Evelyn, Mia, Sophia, Zoey, Amelia, Abigail, and Benjamin. As Noah put it, \"(Amelia is a pioneer) or (Benjamin is a pioneer if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1893, \"statements\": [[\"or\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"and\", [\"telling-truth\", 6], [\"or\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"and\", [\"telling-t...
{"split": "train", "index": 8561}
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 9 inhabitants: Samuel, Henry, Jackson, Zoey, Harper, Evelyn, Joseph, Lucas, and Liam. Samuel asserted: \"it is not the case that (Zoey is a sage if and only if Harper is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1894, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"->\", [...
{"split": "train", "index": 8562}
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 9 inhabitants: Aiden, Chloe, Sebastian, Amelia, Aria, Mason, Harper, Ella, and Alexander. Aiden expressed that if Amelia is a sage then (if Sebastian is a sage then Aria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1895, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 8]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"tell...
{"split": "train", "index": 8563}
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 9 inhabitants: Ava, Harper, Jack, William, Charlotte, Scarlett, Henry, Logan, and Alexander. Ava said, \"(if Charlotte is an altruist then William is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1896, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 3]], [\"lying\", 6], [\"->\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 1]], [\"telling-truth\", 5], [\"and\", [\"or\",...
{"split": "train", "index": 8564}
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 9 inhabitants: Avery, Logan, Ella, Owen, Isabella, Mia, Emma, Evelyn, and Penelope. Avery stated, \"(Emma is an altruist or Logan is an egoist) and (Isabella ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1897, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"->\", [...
{"split": "train", "index": 8565}
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 9 inhabitants: Daniel, Elizabeth, Jacob, Noah, Mia, Lucas, Liam, Ella, and Abigail. According to Daniel, \"Ella is a pioneer\". Elizabeth remarked, \"(Abigail...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1898, \"statements\": [[\"telling-truth\", 7], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"lying\", 5]], [\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 4]], [\"not\", [\"lying\", 6]]], [\"lying\", 0]...
{"split": "train", "index": 8566}
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 9 inhabitants: Sophia, Samuel, Daniel, Harper, Aria, William, Scarlett, Ava, and Benjamin. Sophia asserted: \"Aria is a fool and (if Ava is a fool then William is a fool)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1899, \"statements\": [[\"and\", [\"lying\", 4], [\"->\", [\"lying\", 7], [\"lying\", 5]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]]], [\"->\", [\"->\", [\"lying\", 5], [\"telling-truth\", 0]], [\"<=>\", [\"lying\",...
{"split": "train", "index": 8567}
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 9 inhabitants: Charlotte, Samuel, Mia, Daniel, Harper, Oliver, Jacob, Benjamin, and Avery. According to Charlotte, \"(Oliver is a saint and Benjamin is a sinner) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1900, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 7]], [\"->\", [\"lying\", 6], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 7], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"not\...
{"split": "train", "index": 8568}
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 9 inhabitants: Grace, Luke, Amelia, Chloe, Michael, Emma, Aurora, Daniel, and Sebastian. Grace said, \"Daniel is an altruist.\" Luke remarked, \"Chloe is an e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1901, \"statements\": [[\"telling-truth\", 7], [\"lying\", 3], [\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"te...
{"split": "train", "index": 8569}
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 9 inhabitants: Riley, Jack, Grace, William, Emily, Daniel, Abigail, Amelia, and Victoria. Riley said, \"(William is a knight) or (Riley is a knight if and only if V...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1902, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"and\", [\"lying\", 2], [\"not\", [\"lying\", 7]]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"tellin...
{"split": "train", "index": 8570}
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 9 inhabitants: Isabella, Mason, Chloe, Riley, Liam, Victoria, Elizabeth, Henry, and William. As Isabella put it, \"(Isabella is a saint or Henry is a saint) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1903, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"<=...
{"split": "train", "index": 8571}
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 9 inhabitants: Aurora, David, Michael, Isabella, Aria, Daniel, Emily, Evelyn, and Matthew. \"(Aurora is a laggard) and (Michael is a laggard or Evelyn is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1904, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0...
{"split": "train", "index": 8572}
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 9 inhabitants: Aiden, Noah, Isabella, Ethan, Matthew, Mason, Jacob, William, and Sebastian. Aiden commented, \"it is not the case that (William is a saint and Mason...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1905, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"telling-truth\", 7], [\"or\", [\"not\", [\"lying\", 7]], [\"not\", [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 8], [\"lying\"...
{"split": "train", "index": 8573}
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 9 inhabitants: Zoey, Riley, Michael, Scarlett, Ava, Benjamin, Samuel, Logan, and Jacob. \"(Logan is a villain and Ava is a hero) and Logan is a villain,\" Zoey decl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1906, \"statements\": [[\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 4]], [\"lying\", 7]], [\"lying\", 7], [\"or\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"telling-tru...
{"split": "train", "index": 8574}
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 9 inhabitants: James, Elizabeth, Daniel, Scarlett, Ava, Mia, Aiden, Benjamin, and Penelope. \"Benjamin is an altruist if and only if (Aiden is an egoist if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1907, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 0], [\"lying\", 5]]]...
{"split": "train", "index": 8575}
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 9 inhabitants: Samuel, Jack, Daniel, Logan, Penelope, Victoria, Evelyn, Aurora, and Olivia. Samuel said that Victoria is an egoist or Jack is an egoist. Jack ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1908, \"statements\": [[\"or\", [\"lying\", 5], [\"lying\", 1]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lying\", 6]], [\"and\", [\"<=>\", [\"lying\", 8], [\"lying\", 1]], [\"telling-truth\", 6]]...
{"split": "train", "index": 8576}
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 9 inhabitants: Mia, Owen, Chloe, Abigail, Joseph, Penelope, Riley, Logan, and Henry. Mia said that it is not the case that (Penelope is a villain if and only if Ril...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1909, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 6]]], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 0]], [\"or\", [\"lying\", 0], ...
{"split": "train", "index": 8577}
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 9 inhabitants: Lucas, Lily, Charlotte, Matthew, Ava, Jackson, Joseph, Ethan, and Jack. Lucas stated, \"(Jackson is a fool or Matthew is a fool) and (if Jackson is a fool ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1910, \"statements\": [[\"and\", [\"or\", [\"lying\", 5], [\"lying\", 3]], [\"->\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 6], [\"telling-trut...
{"split": "train", "index": 8578}
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 9 inhabitants: Evelyn, Sophia, Mia, Lily, Emily, Luke, Joseph, Chloe, and Ella. Evelyn stated, \"(if Ella is a knight then Sophia is a knight) and (Evelyn is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1911, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 5]], [\"->\", [\"te...
{"split": "train", "index": 8579}
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 9 inhabitants: Aurora, Sophia, Benjamin, Abigail, Lily, Charlotte, Samuel, Emma, and Sofia. In a statement by Aurora: \"Benjamin is a sage and (Sofia is a sage)\". Sophia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1912, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"not\", [\"lying\", 8]]], [\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 6]]],...
{"split": "train", "index": 8580}
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 9 inhabitants: Noah, Harper, Ava, Jack, Scarlett, Penelope, Benjamin, Victoria, and Jacob. According to Noah, \"it is not the case that (Jack is a villain if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1913, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]]], [\"telling-truth\", 3], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", ...
{"split": "train", "index": 8581}
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 9 inhabitants: Emma, Aiden, Mia, Charlotte, Emily, Sophia, Ava, Alexander, and Noah. Emma said that Ava is a pioneer. Aiden said, \"(Mia is a laggard if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1914, \"statements\": [[\"telling-truth\", 6], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 7], [\"lying\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [...
{"split": "train", "index": 8582}
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 9 inhabitants: Ethan, Liam, Matthew, Mia, Aurora, Penelope, Lucas, Harper, and Grace. In Ethan's words: \"(Grace is a hero if and only if Penelope is a hero) or (Lu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1915, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 3], [\"not\", [\"lying\", 3]]], [\"or\", [\"lying\", 3], [\"<=...
{"split": "train", "index": 8583}
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 9 inhabitants: Chloe, Benjamin, Joseph, Jackson, Penelope, Henry, Grace, Sofia, and Amelia. Chloe commented, \"(Penelope is a saint and Sofia is a sinner) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1916, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 8]], [\"not\", [\"telling-t...
{"split": "train", "index": 8584}
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 9 inhabitants: Henry, Amelia, Aurora, Penelope, Emma, Joseph, Avery, Sebastian, and David. Henry told you that (David is a knight) or (if Emma is a knave then Auror...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1917, \"statements\": [[\"or\", [\"not\", [\"lying\", 8]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"telling-truth\", 8]], [\"->\", [\"telling-tru...
{"split": "train", "index": 8585}
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 9 inhabitants: Isabella, Samuel, Amelia, Ethan, William, Sofia, Logan, Abigail, and Noah. Isabella expressed that (Ethan is a hero if and only if Logan is a hero) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1918, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]], [\"->\", [\"tel...
{"split": "train", "index": 8586}
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 9 inhabitants: Elizabeth, Emma, Samuel, Benjamin, Alexander, Logan, Sofia, Evelyn, and Harper. Elizabeth told you that if (Emma is a fool or Logan is a fool) then (Evelyn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1919, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 5]], [\"not\", [\"telling-truth\", 7]]], [\"telling-truth\", 2], [\"or\", [\"or\", [\"lying\", 7], [\"lying\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"an...
{"split": "train", "index": 8587}
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 9 inhabitants: David, Henry, Penelope, Olivia, Charlotte, Alexander, Lily, Scarlett, and Liam. David stated, \"(if Scarlett is a hero then Penelope is a villain) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1920, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"telling-truth\", 8], [\"<=>\", [\"->\", [\"...
{"split": "train", "index": 8588}
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 9 inhabitants: Matthew, Liam, Lucas, Daniel, David, Evelyn, William, Jack, and Elizabeth. Matthew said that it is not the case that (Liam is an angel). \"Elizabeth is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1921, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"telling-truth\", 8], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"lying\", 5], [\"and\", [\"lying\", 3], [\"...
{"split": "train", "index": 8589}
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 9 inhabitants: Jackson, Sofia, Lily, Chloe, Alexander, Sophia, Olivia, Michael, and Lucas. As Jackson put it, \"if (Olivia is a sinner if and only if Sophia is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1922, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]], [\"not\", [\"lying\", 1]]], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"->\", [\...
{"split": "train", "index": 8590}
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 9 inhabitants: Aria, Mia, Benjamin, Mason, Avery, Isabella, Chloe, Oliver, and Zoey. Aria asserted: \"it is not the case that (if Mason is a pioneer then Chlo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1923, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"<...
{"split": "train", "index": 8591}
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 9 inhabitants: Evelyn, Penelope, James, Lily, Mia, Aria, David, Emma, and Michael. Evelyn was heard saying, \"(David 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\": 1924, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 6], [\"lying\", 5]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 4], [\"not\", [\"lying\", 7]]], [\"telling-tr...
{"split": "train", "index": 8592}
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 9 inhabitants: Owen, Riley, Scarlett, Jacob, Alexander, Noah, Chloe, Abigail, and Joseph. Owen expressed that Joseph is a pioneer. \"Noah is a pioneer or (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1925, \"statements\": [[\"telling-truth\", 8], [\"or\", [\"telling-truth\", 5], [\"->\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3]], [\"telling-truth\", 5]], [\"telling-...
{"split": "train", "index": 8593}
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 9 inhabitants: Harper, Isabella, Jackson, Lily, Chloe, Aiden, Owen, Samuel, and Lucas. Harper remarked, \"(if Lucas is a villain then Owen is a villain) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1926, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 8], [\"lying\", 6]], [\"lying\", 1]], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"not\", [\"->\", [\...
{"split": "train", "index": 8594}
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 9 inhabitants: Olivia, Logan, Avery, Elizabeth, Samuel, Matthew, Victoria, Jackson, and Grace. Olivia told you that (Matthew is a sage or Victoria is a fool) and (Avery i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1927, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 6]], [\"<=>\", [\"lying\", 2], [\"lying\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 7]], [\"or\", [\"lying\", 0], [\"telling-trut...
{"split": "train", "index": 8595}
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 9 inhabitants: Daniel, Lucas, Lily, Avery, Owen, Jack, Chloe, Sophia, and Sebastian. Daniel remarked, \"(Lucas is a villain and Sebastian is a hero) and (Owen is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1928, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 8]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 5]]], [\"telling-truth\",...
{"split": "train", "index": 8596}
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 9 inhabitants: Victoria, Jacob, Sophia, Jack, Riley, Ella, Avery, Aiden, and Elizabeth. \"it is not the case that (Riley is a pioneer or Aiden is a laggard),\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1929, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"lying\", 4], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"and\...
{"split": "train", "index": 8597}
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 9 inhabitants: Mia, Matthew, Harper, Liam, Joseph, Chloe, Sebastian, Abigail, and Ethan. Mia remarked, \"Ethan is a devil\". Matthew told you that if (if Ethan is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1930, \"statements\": [[\"not\", [\"telling-truth\", 8]], [\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"and\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-...
{"split": "train", "index": 8598}
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 9 inhabitants: Lucas, Daniel, Liam, Sophia, Mason, Benjamin, Lily, James, and Scarlett. Lucas remarked, \"Liam is a devil if and only if (Daniel is an angel or Sophia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1931, \"statements\": [[\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", ...
{"split": "train", "index": 8599}