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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Amelia, Ava, Ethan, and Sofia. William said, \"(Ava is a knight) or Sofia is a knight or (Sofia is a knave).\" As Amelia put it, \"if (Ethan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 488, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4]], [...
{"split": "train", "index": 11600}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jacob, Chloe, Evelyn, David, and Aurora. \"Aurora is a sage and (Evelyn is a sage or Jacob is a sage or Chloe is a fool)\" - Jacob. Chloe told you that it ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 489, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telli...
{"split": "train", "index": 11601}
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, Ella, Alexander, Henry, and Aiden. Samuel said that Ella is an egoist. Ella commented, \"(Alexander is an egoist) if and only if (Ella ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 490, \"statements\": [[\"lying\", 1], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and...
{"split": "train", "index": 11602}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ethan, Aiden, Sofia, Emily, and Penelope. Ethan expressed that Aiden is a fool. Aiden asserted: \"(Emily is a sage or Aiden is a sage or Sofia is a sage or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 491, \"statements\": [[\"lying\", 1], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", ...
{"split": "train", "index": 11603}
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: William, Emily, Abigail, Elizabeth, and Ethan. William said, \"(Abigail is a sinner and Ethan is a saint and Elizabeth is a saint and Emily is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 492, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<...
{"split": "train", "index": 11604}
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: Zoey, Jack, Emma, James, and Chloe. In Zoey's words: \"if (Chloe is a pioneer) then (Jack is a laggard and Emma is a pioneer and Zoey is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 493, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-tr...
{"split": "train", "index": 11605}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Noah, Olivia, David, Jacob, and Evelyn. As Noah put it, \"David is a laggard\". In Olivia's words: \"Noah is a pioneer if and only if (Olivia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 494, \"statements\": [[\"lying\", 2], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4], [\"lying\", 0]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 1]], [\"<=>\", [\"lying\...
{"split": "train", "index": 11606}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jacob, Emily, Elizabeth, Lucas, and James. Jacob said that James is a saint. As Emily put it, \"if (if Jacob is a sinner then Emily is a saint) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 495, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\",...
{"split": "train", "index": 11607}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Charlotte, Lily, Matthew, Lucas, and Zoey. Charlotte said, \"it is not the case that (Charlotte is an angel if and only if Zoey is a devil).\" Lily tol...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 496, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"lying\", 0], [\"and\", [\"telling-truth\", 1], [\"telling-tr...
{"split": "train", "index": 11608}
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: Samuel, Michael, Alexander, Liam, and Isabella. Samuel told you that Michael is a villain or (Alexander is a villain if and only if Liam is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 497, \"statements\": [[\"or\", [\"lying\", 1], [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\"...
{"split": "train", "index": 11609}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Logan, Oliver, Charlotte, Daniel, and Avery. Logan said that Daniel is an angel. Oliver stated, \"it is not the case that (if Daniel is a devil then Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 498, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-...
{"split": "train", "index": 11610}
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, Penelope, Jackson, Joseph, and Abigail. Olivia said, \"if Penelope is a knight then (Joseph is a knave and Olivia is a knight and Penelope is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 499, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\",...
{"split": "train", "index": 11611}
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: Lucas, Sophia, Isabella, Aria, and Jacob. Lucas said that Sophia is a sinner and Aria is a sinner and (Isabella is a saint if and only if Jacob is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 500, \"statements\": [[\"and\", [\"lying\", 1], [\"lying\", 3], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 0]]]...
{"split": "train", "index": 11612}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Samuel, Aurora, Ethan, and Henry. Ava noted, \"(Ethan is a knight and Henry is a knight and Ethan is a knave and Aurora is a knight) or (Ava is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 501, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"tellin...
{"split": "train", "index": 11613}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aurora, Victoria, Matthew, Joseph, and Lucas. Aurora said that Victoria is a villain and (if Joseph is a hero then Victoria is a hero). In Victoria's...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 502, \"statements\": [[\"and\", [\"lying\", 1], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [...
{"split": "train", "index": 11614}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sebastian, Avery, Lily, Mia, and Victoria. \"if (Victoria is a pioneer) then (Lily is a pioneer if and only if Avery is a laggard),\" Sebastian...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 503, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"telling-truth\", 4], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]...
{"split": "train", "index": 11615}
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, Jackson, David, and Abigail. In Sofia's words: \"David is a knight or Abigail is a knave\". As Mason put it, \"Mason is a knight\". \"S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 504, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 1], [\"and\", [\"lying\", 0], [\"lying\", 4], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]]], [\"->\", [\"lying\", 2], ...
{"split": "train", "index": 11616}
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: Victoria, Ava, David, Jack, and Amelia. \"it is not the case that (David is a knight or David is a knave or Amelia is a knave),\" Victoria claimed. A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 505, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4]]], [\"lying\", 0], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"tellin...
{"split": "train", "index": 11617}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Evelyn, Ava, Jacob, and Aurora. Michael was heard saying, \"(Jacob is a sinner) or (Jacob is a saint)\". Evelyn said that (Ava is a sinner) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 506, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\",...
{"split": "train", "index": 11618}
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: Sophia, Liam, Oliver, Matthew, and Alexander. In a statement by Sophia: \"(if Liam is a sinner then Matthew is a sinner) and (Sophia is a saint or Li...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 507, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"tellin...
{"split": "train", "index": 11619}
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, Sebastian, Oliver, Zoey, and Aria. Luke told you that (if Oliver is an angel then Zoey is a devil) and (Zoey is a devil or Sebastian is an angel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 508, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 4], [\"lying\"...
{"split": "train", "index": 11620}
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: Samuel, Aiden, Lily, Ava, and Isabella. Samuel remarked, \"(if Lily is a villain then Isabella is a villain) and (Aiden is a hero and Samuel is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 509, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"l...
{"split": "train", "index": 11621}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aiden, Riley, Charlotte, Mason, and Amelia. Aiden said that it is not the case that (Riley is a saint if and only if Aiden is a saint). In Riley's wo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 510, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"n...
{"split": "train", "index": 11622}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Harper, Logan, Charlotte, Elizabeth, and Grace. In Harper's words: \"(Elizabeth is a hero or Grace is a villain) or (Logan is a hero or Elizabeth is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 511, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]...
{"split": "train", "index": 11623}
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: Lucas, Oliver, Charlotte, Daniel, and Benjamin. \"if (if Charlotte is a sage then Charlotte is a fool) then (Lucas is a sage if and only if Oliver is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 512, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-trut...
{"split": "train", "index": 11624}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Sebastian, Mia, Riley, and Scarlett. \"it is not the case that (Liam is a laggard),\" Liam claimed. According to Sebastian, \"(if Riley i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 513, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-...
{"split": "train", "index": 11625}
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: Grace, Benjamin, Zoey, Olivia, and William. Grace stated, \"(if Olivia is an altruist then Benjamin is an egoist) or (Zoey is an altruist and B...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 514, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", ...
{"split": "train", "index": 11626}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Joseph, Owen, Charlotte, Aurora, and Zoey. Joseph told you that Owen is a saint. Owen commented, \"if Aurora is a saint then (Zoey is a sinner and Jo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 515, \"statements\": [[\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1]...
{"split": "train", "index": 11627}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Oliver, Alexander, Michael, Scarlett, and Emma. Oliver said that it is not the case that (if Michael is an angel then Michael is a devil). Alexander re...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 516, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"lying\", 0], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1]...
{"split": "train", "index": 11628}
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: Ethan, Emily, Abigail, Sebastian, and Chloe. In Ethan's words: \"(Abigail is a villain and Chloe is a hero and Sebastian is a hero) and (Emily is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 517, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\...
{"split": "train", "index": 11629}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Daniel, Lily, Sofia, Mason, and Chloe. Daniel remarked, \"(Sofia is an egoist if and only if Mason is an egoist) and (if Lily is an altruist th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 518, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3]]],...
{"split": "train", "index": 11630}
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, Sophia, Logan, Liam, and Joseph. Ava was heard saying, \"(Joseph is an altruist if and only if Sophia is an altruist) or (Liam is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 519, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"tellin...
{"split": "train", "index": 11631}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Sophia, Scarlett, David, and Grace. Isabella said, \"(Grace is a knave or Isabella is a knight) or (Sophia is a knight if and only if Sophi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 520, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"lying\", 0], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"->\...
{"split": "train", "index": 11632}
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: Grace, Isabella, Mia, Charlotte, and Zoey. \"(Charlotte is a laggard or Isabella is a pioneer or Grace is a pioneer or Zoey is a pioneer) or (G...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 521, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [...
{"split": "train", "index": 11633}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Benjamin, Sebastian, Ella, Jackson, and Ethan. \"it is not the case that (Jackson is a villain if and only if Sebastian is a villain),\" Benjamin men...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 522, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying...
{"split": "train", "index": 11634}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sofia, Lily, Jackson, Matthew, and David. Sofia asserted: \"(if Matthew is a hero then Lily is a villain) and (if Jackson is a villain then David is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 523, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]],...
{"split": "train", "index": 11635}
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: Victoria, Harper, Abigail, Amelia, and Ethan. Victoria said, \"(if Harper is an altruist then Amelia is an egoist) and (if Victoria is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 524, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lyin...
{"split": "train", "index": 11636}
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: Ava, Elizabeth, Liam, Aurora, and Joseph. Ava told you that (Aurora is a villain if and only if Joseph is a villain) if and only if (if Aurora is a v...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 525, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth...
{"split": "train", "index": 11637}
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, Isabella, Logan, Mason, and Grace. Mia remarked, \"(Logan is a knave and Grace is a knave and Logan is a knight) or (Logan is a knave or Mia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 526, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"te...
{"split": "train", "index": 11638}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Luke, Aurora, Charlotte, Evelyn, and Samuel. Luke remarked, \"(if Evelyn is a villain then Aurora is a hero) or (Samuel is a hero and Luke is a hero ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 527, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 2]], [\"or\", [\"->\", [\"telling-...
{"split": "train", "index": 11639}
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: Ella, Evelyn, Emma, Zoey, and Liam. As Ella put it, \"(if Zoey is a knave then Zoey is a knight) and (Evelyn is a knight if and only if Evelyn is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 528, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"tel...
{"split": "train", "index": 11640}
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: Oliver, Olivia, Luke, Daniel, and Amelia. Oliver told you that Olivia is a fool. In a statement by Olivia: \"(if Daniel is a fool then Olivia is a sage) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 529, \"statements\": [[\"lying\", 1], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 2], [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 2]], [\"not\", [\"->\", [\"lying\", 3], [\"lying\"...
{"split": "train", "index": 11641}
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: Jackson, Olivia, David, Harper, and Benjamin. According to Jackson, \"if (Harper is a knight or Olivia is a knave or David is a knave or David is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 530, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"lying\", 3], [\"->\", [\"and\", [\"lying\", 0], [\...
{"split": "train", "index": 11642}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Owen, Aria, Grace, Alexander, and Henry. Owen asserted: \"it is not the case that (if Alexander is an angel then Henry is an angel)\". Aria remarked, \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 531, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"t...
{"split": "train", "index": 11643}
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: Amelia, Ethan, James, Aria, and Victoria. Amelia said that Victoria is an angel or (James is a devil). Ethan said that (Aria is a devil) and (James is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 532, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"a...
{"split": "train", "index": 11644}
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: Benjamin, Scarlett, Ethan, David, and James. Benjamin asserted: \"(David is an altruist and Benjamin is an altruist) if and only if Benjamin is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 533, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\"...
{"split": "train", "index": 11645}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Evelyn, Grace, Samuel, Joseph, and Noah. As Evelyn put it, \"(Noah is a saint and Samuel is a saint and Evelyn is a saint) or (Samuel is a sinner or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 534, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 0], [\"<=>\", [\"lying\", 2], [\"tellin...
{"split": "train", "index": 11646}
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: Sofia, Emma, David, Zoey, and Matthew. Sofia asserted: \"(David is a sage or Zoey is a sage or Zoey is a fool) or (Emma is a fool or Emma is a sage or Zoey...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 535, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"...
{"split": "train", "index": 11647}
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: Samuel, Riley, Scarlett, Jacob, and Logan. Samuel stated, \"Riley is a devil if and only if (Scarlett is a devil or Jacob is a devil or Scarlett is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 536, \"statements\": [[\"<=>\", [\"lying\", 1], [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"...
{"split": "train", "index": 11648}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Grace, Isabella, Elizabeth, Oliver, and Aiden. Grace said that Elizabeth is a devil. Isabella remarked, \"Elizabeth is an angel and (Oliver is an angel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 537, \"statements\": [[\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 0]]], [\"lying\", 3], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"...
{"split": "train", "index": 11649}
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, Mason, James, Jack, and Liam. Abigail expressed that (Liam is a knave or James is a knight) if and only if (if Liam is a knave then Liam is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 538, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]...
{"split": "train", "index": 11650}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jacob, James, Riley, Michael, and Evelyn. According to Jacob, \"it is not the case that (if Riley is an altruist then Evelyn is an altruist)\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 539, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"t...
{"split": "train", "index": 11651}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ava, Harper, Elizabeth, Scarlett, and Aria. As Ava put it, \"it is not the case that (if Ava is a pioneer then Aria is a laggard)\". In a state...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 540, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\...
{"split": "train", "index": 11652}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Daniel, Scarlett, Samuel, Ava, and Evelyn. Daniel expressed that (Evelyn is a villain or Ava is a villain or Ava is a hero) or Ava is a hero or (Evel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 541, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"not\", [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"tell...
{"split": "train", "index": 11653}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aurora, Zoey, Lily, Chloe, and Oliver. Aurora commented, \"if (Zoey is a villain) then (Aurora is a hero and Lily is a hero and Oliver is a villain)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 542, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-tru...
{"split": "train", "index": 11654}
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: Michael, Grace, Matthew, Jackson, and Joseph. Michael said that (Michael is an angel and Jackson is an angel and Joseph is an angel and Grace is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 543, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4]...
{"split": "train", "index": 11655}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Emily, Luke, Logan, and Michael. \"Michael is a knave,\" Zoey claimed. In Emily's words: \"if (Zoey is a knave and Logan is a knight and Zoey i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 544, \"statements\": [[\"lying\", 4], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 3]]], [\"lying\", 1], [\"o...
{"split": "train", "index": 11656}
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, Joseph, Isabella, Sophia, and Emily. According to Jackson, \"(Isabella is a hero or Jackson is a hero or Emily is a villain) or Jackson is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 545, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 0]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"telling-t...
{"split": "train", "index": 11657}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Matthew, Jack, Henry, Olivia, and Daniel. \"(if Olivia is a villain then Henry is a hero) or (Daniel is a villain or Olivia is a villain),\" Matthew ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 546, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 3], [\"not\", [\"lying\", 0]]], [\"->\", [\"or\", [\"lying\", 4], [\"tell...
{"split": "train", "index": 11658}
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, Harper, Penelope, Sofia, and Lily. \"(Lily is a villain) if and only if (Lily is a villain if and only if Sofia is a villain)\" - Jackson. I...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 547, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 0]]], [\"...
{"split": "train", "index": 11659}
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, Samuel, Sebastian, Elizabeth, and Aria. Logan expressed that Sebastian is an altruist and (if Aria is an egoist then Samuel is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 548, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3]], [\"lying\", 1]], [\"or\", [\"or\", [\"...
{"split": "train", "index": 11660}
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: Sophia, Elizabeth, Oliver, Sofia, and Avery. Sophia remarked, \"it is not the case that (Sophia is an angel or Elizabeth is an angel or Sofia is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 549, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]],...
{"split": "train", "index": 11661}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Benjamin, Luke, Riley, Liam, and Oliver. \"(if Luke is a saint then Benjamin is a saint) and Liam is a sinner and (Benjamin is a saint or Liam is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 550, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 3], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"not\", [\"<=>\", [...
{"split": "train", "index": 11662}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jacob, William, Jackson, Henry, and James. In a statement by Jacob: \"it is not the case that (James is a sinner)\". William asserted: \"if (Henry is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 551, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"lying\", 2]], [\"telling-truth\", 1], [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"lyin...
{"split": "train", "index": 11663}
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, Alexander, Liam, Elizabeth, and Jack. Henry asserted: \"Alexander is a devil\". \"Jack is a devil,\" Alexander mentioned. Liam said, \"if (Henry...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 552, \"statements\": [[\"lying\", 1], [\"lying\", 4], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0], [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]]...
{"split": "train", "index": 11664}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Henry, Zoey, Logan, Jacob, and Evelyn. Henry commented, \"(Evelyn is a fool and Evelyn is a sage and Logan is a sage) and (Jacob is a fool or Jacob is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 553, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"l...
{"split": "train", "index": 11665}
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: Victoria, Mason, Isabella, Oliver, and Zoey. \"(Mason is an egoist or Zoey is an egoist or Oliver is an egoist) and Isabella is an altruist and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 554, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\...
{"split": "train", "index": 11666}
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: Luke, Oliver, Chloe, Evelyn, and Jacob. In a statement by Luke: \"Oliver is a pioneer\". Oliver told you that (Jacob is a pioneer) and Jacob is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 555, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"not\", [\"lying\", 4]], [\"lying\", 4], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 3], [\...
{"split": "train", "index": 11667}
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: Oliver, Ava, James, Sophia, and Isabella. \"James is a fool,\" Oliver declared. Ava noted, \"(James is a sage if and only if Isabella is a fool) and (Isabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 556, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", ...
{"split": "train", "index": 11668}
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, Chloe, Alexander, Oliver, and Zoey. \"it is not the case that (Oliver is an altruist and Zoey is an egoist),\" Matthew claimed. Chloe ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 557, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-tr...
{"split": "train", "index": 11669}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Alexander, Mason, Ella, Olivia, and Mia. Alexander stated, \"if (Olivia is a fool and Mason is a fool and Olivia is a sage and Mia is a sage) then (Olivia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 558, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 2], [\"not\", [\"->\", [\"tellin...
{"split": "train", "index": 11670}
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: Samuel, Zoey, Isabella, Oliver, and Luke. Samuel remarked, \"Oliver is a hero\". Zoey was heard saying, \"(if Samuel is a hero then Luke is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 559, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\...
{"split": "train", "index": 11671}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sebastian, Lucas, Ella, Abigail, and Aurora. Sebastian expressed that (Abigail is an egoist or Ella is an egoist or Aurora is an altruist or Ab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 560, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\",...
{"split": "train", "index": 11672}
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: Mason, Logan, Sophia, Owen, and Amelia. Mason asserted: \"(Logan is a villain and Sophia is a hero and Owen is a hero) or (Amelia is a villain or Owe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 561, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]]], ...
{"split": "train", "index": 11673}
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, Isabella, Benjamin, Liam, and Penelope. \"(Penelope is a sinner and Isabella is a sinner and Benjamin is a saint and Liam is a sinner) and (Isa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 562, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 2], [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 4], [\"lying...
{"split": "train", "index": 11674}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Evelyn, Mason, Chloe, Benjamin, and Aria. \"Chloe is a saint if and only if Mason is a saint,\" Evelyn declared. According to Mason, \"if Benjamin is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 563, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\"...
{"split": "train", "index": 11675}
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: Sofia, Elizabeth, Owen, Olivia, and Liam. Sofia expressed that (Olivia is an egoist if and only if Elizabeth is an egoist) and (Liam is an egoi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 564, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"lying\", 0], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 3], [\"not\", [\...
{"split": "train", "index": 11676}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Evelyn, Grace, Aurora, Samuel, and Joseph. Evelyn said that Joseph is a fool. In a statement by Grace: \"it is not the case that (if Joseph is a fool then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 565, \"statements\": [[\"lying\", 4], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 4], [\"and\", [\"telling-truth\...
{"split": "train", "index": 11677}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Henry, Matthew, Harper, Zoey, and Luke. Henry commented, \"(Luke is a sage and Matthew is a fool and Henry is a sage and Harper is a sage) if and only if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 566, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\...
{"split": "train", "index": 11678}
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: Emma, Jackson, Mia, Sophia, and Joseph. Emma said that Mia is a fool. In Jackson's words: \"(Joseph is a fool if and only if Mia is a fool) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 567, \"statements\": [[\"lying\", 2], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\"...
{"split": "train", "index": 11679}
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: Joseph, Scarlett, Mason, Evelyn, and Luke. Joseph said that (Scarlett is an altruist) or Scarlett is an altruist. Scarlett expressed that Mason...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 568, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"lying\", 3], [\"->\", [\"telling-truth\", 1]...
{"split": "train", "index": 11680}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Ella, Matthew, Noah, and Charlotte. Chloe noted, \"Charlotte is a knight or Ella is a knave or (Matthew is a knave if and only if Noah is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 569, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"lying\", 2], [\"<=>\", [\"lying\", 3], [\"telling-truth\...
{"split": "train", "index": 11681}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aria, Samuel, Jackson, Evelyn, and Ava. Aria asserted: \"Jackson is a laggard\". \"(if Evelyn is a pioneer then Samuel is a pioneer) and (Aria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 570, \"statements\": [[\"lying\", 2], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"->\"...
{"split": "train", "index": 11682}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Joseph, Jackson, Elizabeth, Riley, and Victoria. Joseph noted, \"Jackson is a sage or (Riley is a sage) or (Jackson is a sage) or (Jackson is a sage if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 571, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-...
{"split": "train", "index": 11683}
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, Jackson, Matthew, Sebastian, and Noah. Lily told you that (if Sebastian is a knave then Matthew is a knight) if and only if (Noah is a knight a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 572, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 1]],...
{"split": "train", "index": 11684}
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: Penelope, Evelyn, Liam, Michael, and Jacob. Penelope said, \"if (if Jacob is an altruist then Evelyn is an egoist) then (if Michael is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 573, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\...
{"split": "train", "index": 11685}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Riley, Harper, Elizabeth, Aurora, and Henry. Riley noted, \"(Henry is a laggard if and only if Elizabeth is a pioneer) or Harper is a laggard o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 574, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 1], [\"or\", [\"lying\", 1], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 0]]],...
{"split": "train", "index": 11686}
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: Samuel, Joseph, Mia, Penelope, and Jack. In a statement by Samuel: \"it is not the case that (if Jack is a knight then Joseph is a knave)\". In Josep...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 575, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"lying\", 4], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"->\", ...
{"split": "train", "index": 11687}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Charlotte, Logan, Harper, Jackson, and Sophia. \"Sophia is a pioneer\" - Charlotte. In a statement by Logan: \"it is not the case that (Jackson...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 576, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 2]], [\"->\", [\...
{"split": "train", "index": 11688}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Oliver, Sophia, Charlotte, Daniel, and Sofia. Oliver said that it is not the case that (Daniel is an egoist if and only if Sofia is an altruist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 577, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"and\", ...
{"split": "train", "index": 11689}
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: Joseph, Samuel, Avery, Elizabeth, and Ella. \"(if Ella is a pioneer then Samuel is a pioneer) or (Joseph is a pioneer or Avery is a laggard or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 578, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-...
{"split": "train", "index": 11690}
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, Jackson, Sebastian, Lily, and Harper. Sofia stated, \"(Lily is a saint or Jackson is a saint or Harper is a saint) or (Harper is a sinner if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 579, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [...
{"split": "train", "index": 11691}
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, Alexander, Harper, Henry, and Amelia. According to Jackson, \"(Alexander is a saint or Alexander is a sinner) and (Henry is a sinner and Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 580, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-...
{"split": "train", "index": 11692}
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, David, Daniel, Avery, and Liam. In a statement by Sebastian: \"Avery is a knight\". \"(if Liam is a knave then Liam is a knight) or (Liam ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 581, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"tellin...
{"split": "train", "index": 11693}
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: Sophia, Joseph, Ava, Riley, and Isabella. In a statement by Sophia: \"(Isabella is a saint and Ava is a sinner and Joseph is a saint) and (Joseph is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 582, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 4], [\"->\", [...
{"split": "train", "index": 11694}
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, Aurora, Mia, Daniel, and Owen. Jackson told you that (if Aurora is a sinner then Daniel is a sinner) or Owen is a saint or (if Daniel is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 583, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]], [...
{"split": "train", "index": 11695}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Matthew, Ava, Scarlett, Aria, and Amelia. \"Aria is a devil,\" Matthew mentioned. Ava asserted: \"(Matthew is a devil if and only if Aria is an angel) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 584, \"statements\": [[\"lying\", 3], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\...
{"split": "train", "index": 11696}
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: Emily, Logan, Harper, Jack, and William. Emily expressed that Harper is a knave. Logan expressed that (Jack is a knight and Emily is a knight) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 585, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"telling-...
{"split": "train", "index": 11697}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aria, Daniel, Jacob, Aiden, and Ella. \"(Aria is a pioneer if and only if Ella is a pioneer) and (Daniel is a pioneer or Aria is a pioneer or A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 586, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 3], [\"...
{"split": "train", "index": 11698}
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, Mia, Matthew, Charlotte, and Sofia. Jackson told you that (Jackson is a hero and Charlotte is a villain and Sofia is a villain) and (Charlot...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 587, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\"...
{"split": "train", "index": 11699}