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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Amelia, Luke, Alexander, Penelope, and Jackson. Amelia was heard saying, \"Alexander is a sage\". \"Penelope is a fool,\" Luke declared. In Alexander's wor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2154, \"statements\": [[\"telling-truth\", 2], [\"lying\", 3], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-tru...
{"split": "train", "index": 6600}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Matthew, Noah, Alexander, and Oliver. Sebastian remarked, \"Matthew is a knight\". Matthew said, \"Alexander is a knight.\" Noah said that...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2155, \"statements\": [[\"not\", [\"lying\", 1]], [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\",...
{"split": "train", "index": 6601}
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, Olivia, David, Grace, and Sebastian. According to Alexander, \"Olivia is a fool or Grace is a sage or David is a sage\". Olivia said, \"Sebastia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2156, \"statements\": [[\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3...
{"split": "train", "index": 6602}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Michael, Sophia, Mia, William, and Penelope. Michael remarked, \"Mia is a hero and Penelope is a villain and Mia is a villain and William is a villai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2157, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"l...
{"split": "train", "index": 6603}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Elizabeth, Lily, Oliver, Samuel, and Emma. Elizabeth said, \"Samuel is an altruist and Emma is an altruist.\" \"Samuel is an egoist and Emma is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2158, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 0]], [...
{"split": "train", "index": 6604}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mason, Logan, Jack, Oliver, and Grace. As Mason put it, \"if Oliver is a saint then Jack is a sinner\". Logan commented, \"Mason is a sinner or Grace...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2159, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 0], [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\...
{"split": "train", "index": 6605}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Noah, Olivia, Matthew, Lucas, and Sofia. As Noah put it, \"Lucas is a hero if and only if Lucas is a villain\". \"Noah is a hero\" - Olivia. \"Matthe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2160, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 2]], [\"->\", [\"lyin...
{"split": "train", "index": 6606}
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, William, Grace, Evelyn, and Aurora. According to Oliver, \"Grace is an altruist\". In William's words: \"if Aurora is an egoist then Gr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2161, \"statements\": [[\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"lying\", 2]],...
{"split": "train", "index": 6607}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: David, Jack, Penelope, Olivia, and Scarlett. \"Scarlett is a devil and David is an angel and Penelope is a devil and Olivia is a devil,\" David claimed...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2162, \"statements\": [[\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"telling...
{"split": "train", "index": 6608}
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: Lily, Luke, Michael, Penelope, and Abigail. Lily noted, \"if Michael is a devil then Abigail is an angel\". Luke expressed that Lily is a devil and Pen...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2163, \"statements\": [[\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 4], [\"a...
{"split": "train", "index": 6609}
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, Benjamin, Jackson, Mia, and Aurora. Chloe remarked, \"Benjamin is a knave\". Benjamin expressed that Benjamin is a knight if and only if Jacks...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2164, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 3...
{"split": "train", "index": 6610}
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: Liam, Olivia, Amelia, David, and Daniel. Liam expressed that Amelia is a knave. In a statement by Olivia: \"Amelia is a knight\". Amelia commented, \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2165, \"statements\": [[\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 1]], \"solution\": [true, false, false, true, true], \"names\": [\"Liam\", \"...
{"split": "train", "index": 6611}
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, William, Noah, Aiden, and Sebastian. Lucas was heard saying, \"Sebastian is a fool\". William stated, \"William is a sage or Noah is a sage or Aiden...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2166, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", ...
{"split": "train", "index": 6612}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Ava, Luke, Avery, and Grace. In a statement by Olivia: \"Olivia is a saint and Luke is a saint and Luke is a sinner\". In a statement by Ava:...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2167, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\...
{"split": "train", "index": 6613}
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: Lucas, James, Ethan, Oliver, and Charlotte. As Lucas put it, \"Ethan is an altruist or Charlotte is an egoist or James is an altruist or Lucas ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2168, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 0], [\"lying\", 4], [\"<=>...
{"split": "train", "index": 6614}
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: Abigail, Aria, Sophia, Scarlett, and Jack. According to Abigail, \"if Aria is an altruist then Jack is an altruist\". Aria said that Sophia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2169, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [...
{"split": "train", "index": 6615}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Avery, Olivia, Mason, and Ella. Elizabeth noted, \"Olivia is a knight if and only if Avery is a knave\". Avery asserted: \"Olivia is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2170, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\"...
{"split": "train", "index": 6616}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Isabella, Benjamin, Jackson, Ava, and Mia. \"Benjamin is an altruist\" - Isabella. Benjamin commented, \"Jackson is an egoist if and only if Mi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2171, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 0], [\"lying\", 4]], [\"...
{"split": "train", "index": 6617}
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: Victoria, Owen, Noah, Luke, and Chloe. Victoria was heard saying, \"Luke is a saint and Noah is a saint and Noah is a sinner and Owen is a saint\". O...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2172, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 4], [\"lyi...
{"split": "train", "index": 6618}
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, Olivia, Henry, Jackson, and Sebastian. \"if Jackson is a hero then Olivia is a villain,\" Benjamin declared. Olivia remarked, \"Henry is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2173, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-...
{"split": "train", "index": 6619}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ethan, Evelyn, Olivia, Sofia, and Elizabeth. Ethan stated, \"Ethan is a pioneer if and only if Sofia is a laggard\". Evelyn was heard saying, \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2174, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", ...
{"split": "train", "index": 6620}
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, Ella, Aurora, Sofia, and Grace. Liam remarked, \"if Ella is a pioneer then Aurora is a pioneer\". \"Liam is a pioneer or Sofia is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2175, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]...
{"split": "train", "index": 6621}
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: Mia, Liam, Sebastian, Sophia, and David. In Mia's words: \"David is a pioneer\". \"Sebastian is a pioneer if and only if Sophia is a pioneer\" ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2176, \"statements\": [[\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\"...
{"split": "train", "index": 6622}
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, Elizabeth, Lily, Liam, and Abigail. According to Benjamin, \"Lily is a saint and Elizabeth is a saint and Lily is a sinner and Liam is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2177, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 3]], [\"lying\", 2], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"telling-truth\", 2], [\"or\", [\"ly...
{"split": "train", "index": 6623}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Noah, Mason, Ella, and Aria. In a statement by Jack: \"Noah is a sinner and Noah is a saint\". \"if Mason is a saint then Aria is a sinner,\" N...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2178, \"statements\": [[\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 4]], [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]],...
{"split": "train", "index": 6624}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Elizabeth, Aiden, James, Mason, and Abigail. Elizabeth said that if Abigail is an altruist then Mason is an egoist. Aiden asserted: \"Elizabeth...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2179, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\...
{"split": "train", "index": 6625}
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, Evelyn, Ella, Lily, and Aurora. Alexander remarked, \"Alexander is a sage or Evelyn is a fool or Aurora is a sage\". According to Evelyn, \"Evel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2180, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"...
{"split": "train", "index": 6626}
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: Emily, Avery, Emma, Amelia, and Joseph. Emily commented, \"Emma is an altruist\". Avery was heard saying, \"Amelia is an egoist\". Emma remarke...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2181, \"statements\": [[\"not\", [\"lying\", 2]], [\"lying\", 3], [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling...
{"split": "train", "index": 6627}
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: Ava, Lucas, Jackson, Oliver, and William. As Ava put it, \"Jackson is a fool\". Lucas said that William is a fool. Jackson remarked, \"Oliver is a sage if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2182, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 1]...
{"split": "train", "index": 6628}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Elizabeth, Olivia, Victoria, Ava, and Evelyn. \"Evelyn is a pioneer or Ava is a pioneer\" - Elizabeth. Olivia noted, \"Evelyn is a laggard and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2183, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"...
{"split": "train", "index": 6629}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Charlotte, Luke, Penelope, and Alexander. \"Charlotte is a knight or Charlotte is a knave or Penelope is a knight or James is a knight,\" Jame...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2184, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 0], [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [...
{"split": "train", "index": 6630}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aria, Owen, Ella, Jack, and Ethan. In a statement by Aria: \"Jack is an angel if and only if Jack is a devil\". Owen told you that Aria is an angel or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2185, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\...
{"split": "train", "index": 6631}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sophia, Emily, Jack, Aiden, and Avery. Sophia remarked, \"Emily is a villain or Sophia is a hero\". In Emily's words: \"Sophia is a hero if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2186, \"statements\": [[\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"or\", ...
{"split": "train", "index": 6632}
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: Chloe, Matthew, Olivia, Sofia, and Victoria. \"if Matthew is a fool then Olivia is a fool,\" Chloe mentioned. Matthew was heard saying, \"Matthew is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2187, \"statements\": [[\"->\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"lying\"...
{"split": "train", "index": 6633}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emma, Lucas, Noah, Sebastian, and Joseph. In Emma's words: \"Sebastian is a devil\". Lucas said, \"Noah is a devil.\" Noah told you that Emma is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2188, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"lying\", 2], [\"or\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 2], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"ly...
{"split": "train", "index": 6634}
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, Jack, Benjamin, Lily, and Zoey. Jackson told you that Jack is a sinner. \"Lily is a sinner and Jack is a saint and Lily is a saint\" - Jack....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2189, \"statements\": [[\"lying\", 1], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"lying\", 4], [\"<=>\", [\"lying\", 1], [\"lying\",...
{"split": "train", "index": 6635}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aiden, Logan, Matthew, Jacob, and Sebastian. Aiden said, \"Aiden is a sage or Logan is a fool.\" \"Aiden is a fool or Sebastian is a sage,\" Logan declared...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2190, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 4], [\"not\", [\"telling-truth\", 1]]], ...
{"split": "train", "index": 6636}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Ava, Luke, Amelia, and Avery. Aurora said that Luke is a knight or Ava is a knave. Ava expressed that Avery is a knight. Luke said, \"Amelia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2191, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 2], [...
{"split": "train", "index": 6637}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Grace, Sofia, Luke, and Samuel. According to Jack, \"Samuel is a saint\". Grace said, \"Samuel is a saint.\" Sofia said that Samuel is a sinner...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2192, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], \"solution\": [tr...
{"split": "train", "index": 6638}
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, Jacob, Owen, Sebastian, and Joseph. \"Owen is an egoist,\" Sofia declared. \"Sebastian is an egoist,\" Jacob claimed. According to Owen,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2193, \"statements\": [[\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], \"solution\": [false,...
{"split": "train", "index": 6639}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sebastian, Noah, Ella, Grace, and Penelope. Sebastian stated, \"Ella is a villain or Grace is a hero\". \"Ella is a hero if and only if Noah is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2194, \"statements\": [[\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 0]], [\"lying\", 4], [\"not\", [\"telling-truth\", 1]]], \"solution\": [...
{"split": "train", "index": 6640}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Joseph, Olivia, Logan, and Daniel. \"Logan is an altruist and Daniel is an altruist and Olivia is an egoist\" - Charlotte. Joseph st...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2195, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 4], [\...
{"split": "train", "index": 6641}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aria, James, Logan, Lily, and Jack. \"if Lily is a devil then James is an angel\" - Aria. \"Logan is an angel and Aria is an angel and Lily is an angel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2196, \"statements\": [[\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"...
{"split": "train", "index": 6642}
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, Riley, Aiden, Benjamin, and Jack. Daniel asserted: \"Riley is an altruist or Jack is an egoist or Riley is an egoist or Aiden is an ego...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2197, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"o...
{"split": "train", "index": 6643}
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: Olivia, Samuel, Ethan, James, and Ava. \"James is a pioneer,\" Olivia declared. Samuel commented, \"James is a pioneer if and only if Ava is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2198, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\"...
{"split": "train", "index": 6644}
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, Penelope, Abigail, James, and Mia. Zoey said that Abigail is a knave. Penelope remarked, \"Mia is a knight\". Abigail expressed that Zoey is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2199, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4], [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\...
{"split": "train", "index": 6645}
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: Emily, Emma, Oliver, Lucas, and Mason. Emily was heard saying, \"Oliver is a villain\". \"if Oliver is a villain then Mason is a villain,\" Emma decl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2200, \"statements\": [[\"lying\", 2], [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 0]], [\"lying\", 3]], \"solution\": [tru...
{"split": "train", "index": 6646}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mia, Lucas, Oliver, Olivia, and Evelyn. Mia was heard saying, \"Olivia is an egoist and Lucas is an altruist and Evelyn is an altruist and Evel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2201, \"statements\": [[\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 1], [\"or\", [\"lying\", 0], [\"te...
{"split": "train", "index": 6647}
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: Michael, Noah, Ella, Emily, and Jacob. \"Ella is a fool,\" Michael mentioned. Noah was heard saying, \"Emily is a fool\". Ella remarked, \"Jacob is a sage ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2202, \"statements\": [[\"lying\", 2], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-tr...
{"split": "train", "index": 6648}
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, Liam, Riley, Penelope, and Scarlett. \"Liam is an altruist and Scarlett is an altruist,\" Jacob mentioned. Liam remarked, \"Penelope is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2203, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"...
{"split": "train", "index": 6649}
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: Ethan, Sebastian, William, Michael, and Elizabeth. In Ethan's words: \"Michael is a saint if and only if Michael is a sinner\". \"if Sebastian is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2204, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 0], [\"telling-truth\",...
{"split": "train", "index": 6650}
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: Owen, Sophia, Luke, Aiden, and Amelia. In Owen's words: \"Sophia is a pioneer\". Sophia was heard saying, \"if Amelia is a pioneer then Amelia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2205, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], \"s...
{"split": "train", "index": 6651}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ella, Aurora, Jack, Aiden, and Avery. \"Aiden is a saint\" - Ella. Aurora said, \"Jack is a saint or Ella is a sinner or Avery is a sinner or Aiden i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2206, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [...
{"split": "train", "index": 6652}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Noah, Scarlett, Ella, and Zoey. Henry was heard saying, \"if Noah is a knight then Scarlett is a knight\". According to Noah, \"Scarlett is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2207, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\...
{"split": "train", "index": 6653}
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: Joseph, Daniel, Emily, David, and Jack. Joseph remarked, \"Daniel is a hero if and only if Jack is a hero\". As Daniel put it, \"Joseph is a villain\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2208, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\...
{"split": "train", "index": 6654}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Henry, Aiden, Aurora, Evelyn, and Riley. In Henry's words: \"if Riley is an altruist then Aiden is an altruist\". Aiden stated, \"Evelyn is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2209, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 0], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"...
{"split": "train", "index": 6655}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mia, Olivia, Alexander, Evelyn, and Elizabeth. Mia stated, \"Evelyn is an egoist\". Olivia expressed that Evelyn is an altruist or Elizabeth is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2210, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1], [\"telling-t...
{"split": "train", "index": 6656}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sebastian, David, Amelia, Charlotte, and Ella. Sebastian said, \"Amelia is an angel.\" David commented, \"Ella is a devil or David is an angel or Sebas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2211, \"statements\": [[\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\...
{"split": "train", "index": 6657}
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: Aria, Benjamin, Samuel, Riley, and Harper. Aria said, \"Harper is a knave.\" Benjamin stated, \"Samuel is a knave\". Samuel expressed that if Aria is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2212, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]]], \"so...
{"split": "train", "index": 6658}
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, Amelia, Benjamin, Chloe, and Alexander. \"Alexander is a pioneer,\" Luke declared. \"Luke is a laggard\" - Amelia. \"Alexander is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2213, \"statements\": [[\"telling-truth\", 4], [\"lying\", 0], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], \"s...
{"split": "train", "index": 6659}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Daniel, Jackson, Ava, Harper, and Chloe. Daniel asserted: \"Harper is a sinner\". Jackson noted, \"Harper is a sinner\". In a statement by Ava: \"Chl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2214, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lyi...
{"split": "train", "index": 6660}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Ella, Evelyn, David, and Luke. According to Aiden, \"Evelyn is a knave or Evelyn is a knight or Ella is a knave\". \"Aiden is a knight if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2215, \"statements\": [[\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\"...
{"split": "train", "index": 6661}
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, Aurora, Chloe, Riley, and Mason. Ava noted, \"Aurora is an egoist\". In Aurora's words: \"Chloe is an egoist or Mason is an egoist or Ava ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2216, \"statements\": [[\"lying\", 1], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]]], \"soluti...
{"split": "train", "index": 6662}
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: Mia, James, Oliver, Olivia, and Lily. Mia told you that if Olivia is a pioneer then Olivia is a laggard. James commented, \"Mia is a laggard\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2217, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"lying\", 0], [\"->\", [\"lying\", 0], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"lying\", 0]], \"solution\": [false, true, ...
{"split": "train", "index": 6663}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Penelope, Noah, Avery, and Olivia. Luke said that if Avery is a knave then Noah is a knave. Penelope told you that if Noah is a knave then Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2218, \"statements\": [[\"->\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 4], [\"lying\", 0], [\"or\", [\"lying\", 3], [\"lying\", 1]]], \"solution\": [true, true, false, fa...
{"split": "train", "index": 6664}
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, Amelia, Chloe, Emily, and Lily. As Joseph put it, \"Chloe is a sinner and Amelia is a saint and Emily is a saint and Lily is a saint\". Ameli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2219, \"statements\": [[\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"ly...
{"split": "train", "index": 6665}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: David, Amelia, Ethan, Mia, and Joseph. \"Ethan is a fool and Ethan is a sage and Mia is a fool and Joseph is a sage,\" David claimed. According to Amelia, ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2220, \"statements\": [[\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 4], [\"not\", [\"lying\", 0]], [\"<=>\", ...
{"split": "train", "index": 6666}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Jackson, Luke, Aria, and Alexander. \"Aria is a knave,\" Michael claimed. Jackson was heard saying, \"if Aria is a knight then Michael is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2221, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\...
{"split": "train", "index": 6667}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Luke, Amelia, Evelyn, and Oliver. Abigail said, \"(if Oliver is a sinner then Abigail is a saint) or (if Luke is a saint then Oliver is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 0, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"lying\", 0], [\"not\", [\"not\", [\"lying\", 1]]], [\"lying\"...
{"split": "train", "index": 6668}
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: James, Michael, Mason, Mia, and Luke. James expressed that (Mia is a sage and Michael is a fool) or (Mason is a fool or Luke is a fool). As Michael put it,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\"...
{"split": "train", "index": 6669}
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, Noah, Luke, Amelia, and Benjamin. According to Grace, \"if (if Noah is a laggard then Amelia is a laggard) then (Noah is a laggard if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"telling-truth\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"lying\...
{"split": "train", "index": 6670}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: William, Owen, Victoria, Emily, and Alexander. William asserted: \"Emily is a pioneer or (Emily is a pioneer)\". Owen remarked, \"if (William i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 3, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"not\", [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 0]]], [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 4]], [\"...
{"split": "train", "index": 6671}
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: Jackson, Ava, Samuel, Charlotte, and Oliver. Jackson stated, \"(if Ava is an altruist then Oliver is an egoist) and Samuel is an egoist\". As A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 4, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 2]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", ...
{"split": "train", "index": 6672}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jacob, Victoria, Elizabeth, Benjamin, and Ella. Jacob expressed that (if Jacob is a hero then Victoria is a hero) if and only if (Benjamin is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 5, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 3], [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 1]...
{"split": "train", "index": 6673}
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, Evelyn, James, Sophia, and Samuel. Grace remarked, \"Samuel is a pioneer\". \"Samuel is a pioneer,\" Evelyn mentioned. James said that i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 6, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 4], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 2], [\"lyi...
{"split": "train", "index": 6674}
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, Ella, Emily, Grace, and Sophia. Charlotte remarked, \"Sophia is an angel and (Emily is an angel if and only if Sophia is a devil)\". \"(Soph...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 7, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\...
{"split": "train", "index": 6675}
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: Penelope, Liam, Mia, Emma, and Jacob. Penelope told you that if (Jacob is a fool if and only if Emma is a sage) then Penelope is a sage. \"if (Liam is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 8, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"ly...
{"split": "train", "index": 6676}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Scarlett, Elizabeth, Joseph, Abigail, and Avery. \"(Elizabeth is a sage or Elizabeth is a fool) and (if Abigail is a fool then Avery is a fool),\" Scarlett...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 9, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 0]], [\...
{"split": "train", "index": 6677}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aurora, Samuel, Grace, Daniel, and Charlotte. Aurora told you that (Samuel is a devil) if and only if (Aurora is an angel and Charlotte is an angel). \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 10, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 0...
{"split": "train", "index": 6678}
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: Emily, Benjamin, Grace, Evelyn, and Olivia. Emily asserted: \"Evelyn is an altruist\". Benjamin expressed that (Olivia is an altruist if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 11, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"lying\", 0...
{"split": "train", "index": 6679}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Matthew, Charlotte, Jacob, Benjamin, and Michael. \"if (if Michael is a fool then Benjamin is a sage) then (Benjamin is a sage if and only if Jacob is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 12, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]],...
{"split": "train", "index": 6680}
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, Alexander, Michael, Penelope, and Abigail. \"if (Penelope is a pioneer and Penelope is a laggard) then (Alexander is a laggard),\" S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 13, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"lying\", 0], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 1...
{"split": "train", "index": 6681}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Elizabeth, Logan, Scarlett, Sophia, and Ethan. Elizabeth told you that Scarlett is an altruist. \"if (if Sophia is an egoist then Elizabeth is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 14, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 1], [\"telling-...
{"split": "train", "index": 6682}
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: Elizabeth, Olivia, Noah, Daniel, and Owen. Elizabeth noted, \"if (Owen is a saint if and only if Noah is a sinner) then (Daniel is a sinner or Olivia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 15, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 3], [\"->\", [\"telli...
{"split": "train", "index": 6683}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Samuel, Harper, Luke, Lucas, and Owen. \"(Lucas is a fool) or Samuel is a sage,\" Samuel mentioned. Harper stated, \"Lucas is a sage\". \"Harper is a sage\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 16, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"telling-truth\",...
{"split": "train", "index": 6684}
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: Riley, Harper, Jacob, Luke, and William. According to Riley, \"(Luke is a villain) and (Harper is a hero)\". Harper remarked, \"(Riley is a hero and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 17, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 0]]], [\"not\", [\"or\", [\"tellin...
{"split": "train", "index": 6685}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, James, Amelia, Grace, and Emily. \"if (Amelia is a knave if and only if Emily is a knight) then Amelia is a knave,\" Penelope declared. Jam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 18, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 2]], [\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"lying\", 2]]], [\"telling-truth\", 3], [\"and\", [\"->\", [\"te...
{"split": "train", "index": 6686}
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, Emma, Sofia, Jacob, and Charlotte. \"Jacob is a devil,\" Samuel declared. Emma was heard saying, \"if (Sofia is a devil if and only if Jacob is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 19, \"statements\": [[\"lying\", 3], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", ...
{"split": "train", "index": 6687}
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: Isabella, Victoria, Oliver, Harper, and Olivia. According to Isabella, \"(Oliver is a hero or Oliver is a villain) if and only if (Oliver is a villai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 20, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", ...
{"split": "train", "index": 6688}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Olivia, Emma, Lily, Avery, and Daniel. In Olivia's words: \"it is not the case that (Lily is a devil)\". In a statement by Emma: \"Lily is a devil\". \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 21, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"lying\", 2], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]...
{"split": "train", "index": 6689}
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: Noah, Lily, Evelyn, Michael, and Olivia. According to Noah, \"(Michael is a sage or Michael is a fool) or (Lily is a fool if and only if Michael is a sage)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 22, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"lying\", 4], [\"telli...
{"split": "train", "index": 6690}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Alexander, Jack, Charlotte, and Owen. \"(Jack is a knave and Aiden is a knight) and (if Alexander is a knave then Owen is a knave)\" - Aiden. ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 23, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\",...
{"split": "train", "index": 6691}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Luke, Abigail, Jacob, Noah, and Jack. Luke commented, \"Abigail is a saint if and only if Abigail is a sinner\". \"if Abigail is a saint then (if Abi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 24, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\...
{"split": "train", "index": 6692}
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, Jacob, Aiden, Noah, and Henry. Sofia asserted: \"(if Sofia is a knight then Aiden is a knight) and (if Noah is a knight then Noah is a knave)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 25, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 1], [\"not\", [\"not\", [\"lying\"...
{"split": "train", "index": 6693}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sebastian, Henry, Sophia, Abigail, and Aurora. As Sebastian put it, \"Abigail is a villain\". Henry noted, \"if Sebastian is a villain then (if Sophi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 26, \"statements\": [[\"lying\", 3], [\"->\", [\"lying\", 0], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [...
{"split": "train", "index": 6694}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: William, Amelia, Sofia, Daniel, and Liam. William remarked, \"Liam is a laggard\". \"it is not the case that (Daniel is a pioneer or Sofia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 27, \"statements\": [[\"lying\", 4], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 1...
{"split": "train", "index": 6695}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Isabella, Mia, Luke, and Amelia. Evelyn told you that if (Luke is a knave) then (if Amelia is a knight then Mia is a knight). Isabella assert...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 28, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"and\...
{"split": "train", "index": 6696}
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: Oliver, Mia, Aurora, Luke, and Emily. In Oliver's words: \"(Luke is a hero if and only if Emily is a villain) and (if Luke is a hero then Luke is a v...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 29, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0],...
{"split": "train", "index": 6697}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jacob, Aria, Lily, Oliver, and Chloe. Jacob was heard saying, \"if (if Aria is a devil then Oliver is a devil) then (Aria is an angel or Chloe is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 30, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"tellin...
{"split": "train", "index": 6698}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Liam, Victoria, Elizabeth, William, and Evelyn. \"Victoria is a devil,\" Liam mentioned. Victoria stated, \"(Victoria is an angel if and only if Elizab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 31, \"statements\": [[\"lying\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\"...
{"split": "train", "index": 6699}