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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, Henry, Emma, Jack, and Logan. Jacob stated, \"(Emma is a sinner if and only if Emma is a saint) and (Henry is a saint or Jack is a sinner) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 10, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2],...
{"split": "train", "index": 8900}
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, Elizabeth, James, Avery, and Abigail. Mia said, \"Avery is a pioneer.\" \"(Mia is a laggard and Abigail is a pioneer and Abigail is a lagg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 11, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 4]...
{"split": "train", "index": 8901}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Scarlett, Charlotte, Samuel, Ethan, and Abigail. Scarlett stated, \"it is not the case that (Charlotte is a hero or Samuel is a villain or Samuel is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 12, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [...
{"split": "train", "index": 8902}
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: David, Matthew, Benjamin, Lucas, and Scarlett. As David put it, \"(Matthew is a hero) if and only if (Benjamin is a hero and Benjamin is a villain)\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 13, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"telling-truth\", 2], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]...
{"split": "train", "index": 8903}
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, Logan, James, Riley, and Owen. Sofia expressed that (Logan is a sage) or (if Owen is a sage then James is a fool) or (James is a sage if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 14, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"lying\", 0], [\"->\", [\"and\", [\"lying\", 4], [\"lying...
{"split": "train", "index": 8904}
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: Matthew, Victoria, Sophia, Penelope, and Abigail. Matthew said, \"(Penelope is a knight or Sophia is a knave or Abigail is a knight) if and only if S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 15, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 2]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 2]]], [\"lying\", 4], [\"...
{"split": "train", "index": 8905}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Michael, Isabella, Evelyn, and Emily. \"if (Michael is a knave and Emily is a knight) then Evelyn is a knight,\" Alexander claimed. \"Isab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 16, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 0]],...
{"split": "train", "index": 8906}
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: Victoria, Henry, Logan, Grace, and Scarlett. Victoria stated, \"(Logan is an angel) or (Logan is an angel if and only if Victoria is an angel)\". \"Gra...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 17, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 3]], [\"or\", [\"not\", [\"te...
{"split": "train", "index": 8907}
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, Sophia, Mia, Victoria, and Chloe. In a statement by Emma: \"Sophia is an angel\". \"(Chloe is a devil and Chloe is an angel) and Mia is an angel,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 18, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"telling-truth\", 1], [\"lying\", 0], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", ...
{"split": "train", "index": 8908}
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: Avery, David, Isabella, Owen, and Liam. Avery said, \"Isabella is a fool.\" According to David, \"(Avery is a sage and Owen is a sage and Owen is a fool) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 19, \"statements\": [[\"lying\", 2], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-t...
{"split": "train", "index": 8909}
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: Ella, Joseph, Aiden, Henry, and Liam. Ella said that it is not the case that (Liam is a laggard if and only if Henry is a laggard). Joseph rema...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 20, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 2]...
{"split": "train", "index": 8910}
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, Amelia, Aurora, Mason, and Jacob. \"(Mason is a sage or Amelia is a sage) if and only if (Jacob is a sage)\" - Ethan. Amelia commented, \"if (Mason ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 21, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"<=>\", [\"telling-t...
{"split": "train", "index": 8911}
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, Luke, Ava, Michael, and Jackson. Abigail stated, \"Ava is an egoist and (if Michael is an egoist then Jackson is an egoist) and Ava is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 22, \"statements\": [[\"and\", [\"lying\", 2], [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 2]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [...
{"split": "train", "index": 8912}
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: Olivia, Mason, Oliver, Evelyn, and Abigail. Olivia noted, \"if (Mason is a fool) then Oliver is a sage\". As Mason put it, \"if Olivia is a sage then (Abig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 23, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 0], [\"...
{"split": "train", "index": 8913}
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, Ava, Joseph, Logan, and Aiden. \"(Logan is a sinner) if and only if Logan is a sinner,\" Ella declared. Ava said that Joseph is a sinner. \"Aid...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 24, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 3]], [\"lying\", 2], [\"<=>\", [\"lying\", 4], [\"and\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lyi...
{"split": "train", "index": 8914}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jack, Ella, Henry, Alexander, and Michael. Jack remarked, \"if Michael is a sage then (if Michael is a sage then Henry is a fool)\". \"it is not the case t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 25, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 3], ...
{"split": "train", "index": 8915}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Evelyn, William, David, Matthew, and Samuel. Evelyn said, \"if (Matthew is a hero) then (if David is a villain then Evelyn is a hero).\" According to...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 26, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth...
{"split": "train", "index": 8916}
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, Abigail, Avery, Charlotte, and David. \"Abigail is a laggard,\" Luke declared. Abigail told you that David is a laggard and (Luke is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 27, \"statements\": [[\"lying\", 1], [\"and\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telli...
{"split": "train", "index": 8917}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ava, Jack, Noah, Mia, and William. \"(if Ava is a saint then William is a sinner) and William is a sinner,\" Ava declared. \"if (Jack is a saint if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 28, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 4]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [...
{"split": "train", "index": 8918}
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, Liam, Henry, Benjamin, and Daniel. \"if Henry is an altruist then Benjamin is an altruist,\" Victoria claimed. \"it is not the case t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 29, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\...
{"split": "train", "index": 8919}
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, Avery, Evelyn, Jack, and Amelia. Noah told you that Amelia is a pioneer. In a statement by Avery: \"(if Noah is a pioneer then Amelia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 30, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [...
{"split": "train", "index": 8920}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ava, Logan, Benjamin, Avery, and William. \"(if Logan is a sinner then Benjamin is a saint) or (Avery is a sinner) or (if Avery is a saint then Benja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 31, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 3], [\"<=>\", [\"telling-truth...
{"split": "train", "index": 8921}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Abigail, Daniel, Sebastian, Evelyn, and Ethan. In a statement by Abigail: \"(Abigail is a devil) or (Sebastian is a devil or Evelyn is an angel or Etha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 32, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth...
{"split": "train", "index": 8922}
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: Scarlett, Aiden, Ava, Mason, and Isabella. Scarlett commented, \"it is not the case that (if Isabella is a sinner then Isabella is a saint)\". In a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 33, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 1]]], [\"and\",...
{"split": "train", "index": 8923}
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, Joseph, Alexander, James, and Jackson. William said, \"if (if Jackson is a knave then Alexander is a knight) then (Jackson is a knave or Wil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 34, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [...
{"split": "train", "index": 8924}
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, Mason, Zoey, David, and Victoria. Oliver commented, \"Victoria is a villain and (Zoey is a villain and Victoria is a hero)\". Mason stated, \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 35, \"statements\": [[\"and\", [\"lying\", 4], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-tr...
{"split": "train", "index": 8925}
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, William, Sophia, and Henry. Aiden asserted: \"Alexander is a knight\". \"if (William is a knight) then (if William is a knave then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 36, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 0]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling...
{"split": "train", "index": 8926}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Isabella, Emily, Amelia, Riley, and Sebastian. Isabella told you that Sebastian is a devil. Emily asserted: \"it is not the case that (Sebastian is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 37, \"statements\": [[\"lying\", 4], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\...
{"split": "train", "index": 8927}
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: Avery, Penelope, Michael, Evelyn, and Riley. Avery remarked, \"(Evelyn is a knave and Michael is a knight and Penelope is a knight) if and only if (E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 38, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 2]], ...
{"split": "train", "index": 8928}
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, Owen, Alexander, Michael, and Aurora. Zoey expressed that it is not the case that (Owen is a laggard and Aurora is a pioneer). As Owen pu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 39, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"or...
{"split": "train", "index": 8929}
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, Mia, Avery, Noah, and Isabella. Sebastian said, \"it is not the case that (Isabella is a knight or Isabella is a knave).\" Mia remarked, \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 40, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"telling-truth\", 3], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"not\", [\"not\", [\"telling-t...
{"split": "train", "index": 8930}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Elizabeth, Aurora, Riley, and Sophia. According to Alexander, \"if Sophia is a knave then (Aurora is a knave or Elizabeth is a knave)\". A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 41, \"statements\": [[\"->\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"not\", ...
{"split": "train", "index": 8931}
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, Sebastian, Avery, Ava, and Luke. As Henry put it, \"Ava is a sage if and only if (Sebastian is a fool if and only if Ava is a sage)\". \"(Avery is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 42, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]],...
{"split": "train", "index": 8932}
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, Ella, Lily, Mia, and Logan. Aurora stated, \"(Mia is a villain if and only if Lily is a villain) if and only if (Ella is a villain or Logan i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 43, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 3]], ...
{"split": "train", "index": 8933}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: James, Luke, Ella, Grace, and Sebastian. In James's words: \"(Ella is an altruist or Ella is an egoist or James is an altruist) and (Luke is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 44, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]...
{"split": "train", "index": 8934}
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, Penelope, Sofia, Joseph, and William. In Sebastian's words: \"it is not the case that (Sofia is an egoist and William is an altruist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 45, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 4], [\"lying\", 3], [\"or\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\"...
{"split": "train", "index": 8935}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Benjamin, Joseph, Samuel, Penelope, and Evelyn. \"(Samuel is a villain and Joseph is a villain) and Samuel is a hero,\" Benjamin mentioned. According...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 46, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"telling-truth\", 2]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"and\", [\"tell...
{"split": "train", "index": 8936}
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: Michael, Owen, Amelia, Emily, and Jackson. Michael told you that it is not the case that (Emily is a laggard if and only if Owen is a laggard)....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 47, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 4]]], [...
{"split": "train", "index": 8937}
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, Amelia, Liam, Ava, and Riley. Evelyn said, \"Riley is a knave and (if Liam is a knave then Amelia is a knave) and (Ava is a knave if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 48, \"statements\": [[\"and\", [\"lying\", 4], [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"telling-tru...
{"split": "train", "index": 8938}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Penelope, David, Ethan, Chloe, and Aurora. In Penelope's words: \"David is a saint\". \"(if Ethan is a saint then Aurora is a sinner) and (Ethan is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 49, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 2], [...
{"split": "train", "index": 8939}
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, Mason, William, Luke, and Mia. Abigail asserted: \"(Mia is an egoist and Abigail is an altruist) if and only if (Abigail is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 50, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3...
{"split": "train", "index": 8940}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jackson, Logan, Henry, Liam, and Grace. Jackson told you that if (Henry is a pioneer and Jackson is a pioneer and Liam is a pioneer) then (if J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 51, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\...
{"split": "train", "index": 8941}
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, Ethan, Jacob, Harper, and Noah. In Mason's words: \"if (Jacob is a saint and Noah is a sinner) then (Jacob is a saint)\". According to Ethan, ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 52, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]],...
{"split": "train", "index": 8942}
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, Aiden, Oliver, Scarlett, and Emily. As Jacob put it, \"Oliver is an angel\". Aiden told you that Oliver is a devil. Oliver was heard saying, \"(...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 53, \"statements\": [[\"not\", [\"lying\", 2]], [\"lying\", 2], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lyin...
{"split": "train", "index": 8943}
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, Jacob, Liam, and Mia. Olivia said that (if Liam is a knight then Penelope is a knave) if and only if (Liam is a knave). \"(Mia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 54, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4],...
{"split": "train", "index": 8944}
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, Amelia, Henry, Elizabeth, and Sebastian. As Mia put it, \"Elizabeth is an altruist\". Amelia noted, \"it is not the case that (Henry is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 55, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 0]]], [...
{"split": "train", "index": 8945}
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, Liam, Ethan, Daniel, and Sofia. \"(Sofia is a pioneer if and only if Liam is a pioneer) or (Sebastian is a pioneer or Daniel is a la...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 56, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [...
{"split": "train", "index": 8946}
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: Mia, Aria, Samuel, James, and Joseph. In a statement by Mia: \"Joseph is a fool\". Aria expressed that Samuel is a fool. Samuel told you that Mia is a fool...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 57, \"statements\": [[\"lying\", 4], [\"lying\", 2], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-...
{"split": "train", "index": 8947}
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, Mason, Joseph, Zoey, and Benjamin. In a statement by Sofia: \"it is not the case that (Mason is a sage and Mason is a fool and Joseph is a sage)\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 58, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"not\", [\"<...
{"split": "train", "index": 8948}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Amelia, Noah, Harper, Victoria, and Jackson. \"if (if Harper is an altruist then Noah is an altruist) then (Noah is an egoist),\" Amelia mentio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 59, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"lying\", 4],...
{"split": "train", "index": 8949}
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, Amelia, David, Elizabeth, and Ava. Emily noted, \"(David is a knave or Ava is a knight) if and only if (Emily is a knight and Elizabeth is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 60, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"lying\", 3], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\",...
{"split": "train", "index": 8950}
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, Owen, Sofia, Matthew, and Samuel. Riley remarked, \"if (Sofia is a pioneer or Sofia is a laggard or Samuel is a pioneer) then (Samuel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 61, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"or\", [\"or\", [\"tel...
{"split": "train", "index": 8951}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lily, Owen, Chloe, Emma, and Elizabeth. Lily was heard saying, \"Elizabeth is a fool\". Owen told you that (if Elizabeth is a fool then Emma is a fool) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 62, \"statements\": [[\"lying\", 4], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling...
{"split": "train", "index": 8952}
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: Ella, Aurora, Aiden, Mia, and Daniel. Ella expressed that (Aurora is an egoist) and Aurora is an altruist and (Aiden is an altruist). Aurora no...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 63, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 1], [\"not\", [\"lying\", 2]]], [\"->\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\",...
{"split": "train", "index": 8953}
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, Avery, Mia, Aurora, and Grace. Abigail commented, \"Abigail is an altruist or (Avery is an altruist or Mia is an egoist or Abigail is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 64, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], ...
{"split": "train", "index": 8954}
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, Matthew, Aria, Alexander, and Avery. \"Aria is a sinner,\" Jack mentioned. Matthew was heard saying, \"(Avery is a sinner) and (if Alexander is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 65, \"statements\": [[\"lying\", 2], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"lying\", 1]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"lyi...
{"split": "train", "index": 8955}
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, Aiden, Logan, Owen, and Abigail. Charlotte told you that if (Aiden is a pioneer) then Aiden is a laggard. Aiden noted, \"Aiden is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 66, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"lying\", 1]], [\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 1]], [\"telling-truth\", 1]], [\"not\", [\"and\", [\"lying...
{"split": "train", "index": 8956}
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, Jackson, Chloe, Evelyn, and Grace. Ethan said, \"Jackson is a hero.\" Jackson remarked, \"(Chloe is a hero and Chloe is a villain) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 67, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 3], [\"<=>\", [\"lying\", 4], [\"telling-truth\...
{"split": "train", "index": 8957}
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, Oliver, Penelope, Zoey, and Grace. Elizabeth stated, \"(Oliver is a laggard or Grace is a pioneer or Zoey is a laggard) and (if Grac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 68, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 2]], [\"...
{"split": "train", "index": 8958}
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, Elizabeth, Michael, Mason, and Sebastian. Aurora stated, \"(Sebastian is a devil) if and only if (Elizabeth is a devil)\". Elizabeth said, \"(S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 69, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"and\", [\"or\", [\"lying\", 4], ...
{"split": "train", "index": 8959}
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, Liam, Harper, Alexander, and Chloe. Lily noted, \"if (Harper is a sinner) then Alexander is a sinner\". Liam asserted: \"Alexander is a saint\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 70, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 3]], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"a...
{"split": "train", "index": 8960}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emma, Luke, Penelope, Mia, and Emily. \"(Emily is a laggard if and only if Mia is a laggard) if and only if (Mia is a laggard or Penelope is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 71, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-t...
{"split": "train", "index": 8961}
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, Henry, Aria, Jacob, and Emma. Olivia expressed that (Henry is a knave or Henry is a knight or Aria is a knight) or (Aria is a knight or Jacob...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 72, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"<=>\", [\...
{"split": "train", "index": 8962}
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: Mia, Avery, James, Olivia, and Grace. Mia stated, \"if (Mia is a hero or Avery is a hero or Grace is a hero) then (if Mia is a hero then James is a v...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 73, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"l...
{"split": "train", "index": 8963}
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: Penelope, Avery, Alexander, Michael, and Mia. In Penelope's words: \"(Mia is a pioneer and Alexander is a laggard and Penelope is a pioneer) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 74, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"<=>\", [\...
{"split": "train", "index": 8964}
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, Avery, Oliver, William, and Ava. \"William is a knave,\" Samuel declared. Avery asserted: \"Ava is a knight\". Oliver was heard saying, \"(Av...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 75, \"statements\": [[\"lying\", 3], [\"telling-truth\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\...
{"split": "train", "index": 8965}
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, Emily, James, Aiden, and Sofia. Aria told you that (Aiden is a devil if and only if James is an angel) if and only if Aria is an angel. According...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 76, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]], [\"<=...
{"split": "train", "index": 8966}
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: Isabella, Charlotte, Lucas, Evelyn, and Jackson. In Isabella's words: \"Lucas is a saint if and only if (Evelyn is a saint)\". In Charlotte's words: ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 77, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"not\", [\"lying\", 3]]], [\"->\", [\"telling-truth\", 1], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"<...
{"split": "train", "index": 8967}
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: Chloe, Aria, Amelia, Aiden, and Harper. Chloe expressed that (Amelia is a sinner and Amelia is a saint) if and only if (Harper is a saint and Amelia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 78, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"not\", [\"and\", [\"lying\", 3], [\"telli...
{"split": "train", "index": 8968}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Noah, Riley, Sebastian, Sophia, and Amelia. Noah said, \"Sebastian is a saint or Riley is a saint.\" \"if (if Noah is a sinner then Noah is a saint) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 79, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"telling-truth\", 3], [\"or\", [\"<=>\", [...
{"split": "train", "index": 8969}
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, Ava, Evelyn, Aiden, and Aria. \"(if Abigail is an altruist then Evelyn is an altruist) if and only if (Evelyn is an altruist if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 80, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 2]], [\...
{"split": "train", "index": 8970}
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, Sophia, James, Aria, and Sofia. Logan expressed that (James is an altruist or Sophia is an altruist) or James is an egoist or Aria is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 81, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]], [\"...
{"split": "train", "index": 8971}
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, Emily, Emma, Joseph, and Lily. Sebastian remarked, \"(Emily is an egoist if and only if Joseph is an egoist) if and only if (Lily is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 82, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-tru...
{"split": "train", "index": 8972}
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, Sebastian, Jack, Luke, and Lily. Matthew stated, \"(Luke is an egoist if and only if Jack is an altruist) and (Luke is an altruist or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 83, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 3]]], [\"and\", [...
{"split": "train", "index": 8973}
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: Evelyn, Benjamin, Amelia, Ella, and Chloe. Evelyn expressed that Chloe is a laggard. Benjamin told you that Evelyn is a pioneer. Amelia told yo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 84, \"statements\": [[\"lying\", 4], [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\"...
{"split": "train", "index": 8974}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Abigail, Aria, Riley, Emma, and Amelia. Abigail expressed that (if Emma is a laggard then Amelia is a pioneer) if and only if Riley is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 85, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 1]], ...
{"split": "train", "index": 8975}
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, Olivia, Sofia, Avery, and James. Harper asserted: \"(Harper is a hero and Avery is a hero) if and only if James is a hero\". \"(James is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 86, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\...
{"split": "train", "index": 8976}
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, Olivia, Sophia, Chloe, and Aurora. \"(Jackson is an egoist) or (if Aurora is an egoist then Chloe is an egoist)\" - Jackson. \"Sophia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 87, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"telling-truth\", 2], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\",...
{"split": "train", "index": 8977}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Matthew, Emily, Michael, and Luke. In Sophia's words: \"(Emily is a knave and Luke is a knight and Michael is a knight) or (Michael is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 88, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\...
{"split": "train", "index": 8978}
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: Benjamin, Victoria, Grace, James, and Liam. Benjamin told you that (Liam is a knave or Grace is a knave) or James is a knave. Victoria told you that ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 89, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 3]], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"or\", [\"or\",...
{"split": "train", "index": 8979}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aiden, Avery, Scarlett, Abigail, and Benjamin. Aiden commented, \"(if Benjamin is a devil then Scarlett is an angel) or (Avery is a devil) or (Aiden is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 90, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 3]],...
{"split": "train", "index": 8980}
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, Alexander, Samuel, Aria, and Henry. As Olivia put it, \"if Samuel is an angel then Alexander is an angel\". Alexander said, \"it is not the cas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 91, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\...
{"split": "train", "index": 8981}
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, Emma, Henry, Sofia, and David. \"(if Ethan is a hero then Henry is a hero) if and only if (Ethan is a villain),\" Ethan mentioned. Emma expres...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 92, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0],...
{"split": "train", "index": 8982}
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, Emily, Olivia, Joseph, and James. \"if (Emily is a villain if and only if Emily is a hero) then Joseph is a hero,\" Michael declared. Emily ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 93, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"lying\", 0], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\...
{"split": "train", "index": 8983}
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: Aria, Zoey, Ella, Sebastian, and David. \"(David is an altruist or Ella is an altruist or Zoey is an egoist) and (Ella is an egoist) and (Ella ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 94, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-tru...
{"split": "train", "index": 8984}
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, Jackson, Ella, Mason, and Liam. William noted, \"Liam is a sinner or (Jackson is a sinner) or (Liam is a sinner or Mason is a saint)\". Jack...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 95, \"statements\": [[\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 2]], [\"<=>\",...
{"split": "train", "index": 8985}
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: Oliver, Lily, Luke, David, and Mason. Oliver remarked, \"David is a saint\". Lily expressed that David is a saint. Luke commented, \"if (David is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 96, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling...
{"split": "train", "index": 8986}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Harper, Lucas, Ella, Victoria, and Zoey. Harper said, \"Lucas is a sinner.\" Lucas asserted: \"it is not the case that (if Zoey is a sinner then Vict...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 97, \"statements\": [[\"lying\", 1], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\...
{"split": "train", "index": 8987}
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: Sebastian, Chloe, Logan, Luke, and Joseph. Sebastian remarked, \"if Joseph is a sage then (Sebastian is a sage if and only if Logan is a fool)\". \"(if Luk...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 98, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]]], [...
{"split": "train", "index": 8988}
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: Avery, Mia, Sofia, Liam, and Charlotte. According to Avery, \"Liam is a sinner\". Mia said, \"if (Mia is a saint or Avery is a sinner) then (Liam is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 99, \"statements\": [[\"lying\", 3], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-...
{"split": "train", "index": 8989}
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: Mason, Scarlett, Penelope, Evelyn, and Aiden. Mason was heard saying, \"(Mason is an angel and Evelyn is an angel and Scarlett is a devil) and (Scarlet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 100, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\...
{"split": "train", "index": 8990}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mason, Jackson, Sofia, Ava, and Emma. Mason told you that if (Ava is a laggard and Emma is a pioneer and Sofia is a laggard) then (if Mason is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 101, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [...
{"split": "train", "index": 8991}
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, Lucas, Evelyn, Chloe, and Sebastian. Michael remarked, \"it is not the case that (if Lucas is a knight then Lucas is a knave)\". Lucas asser...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 102, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [\"tel...
{"split": "train", "index": 8992}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: William, Jacob, Alexander, Mia, and James. \"William is an altruist and Mia is an egoist and (Mia is an altruist if and only if Mia is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 103, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"lying\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying...
{"split": "train", "index": 8993}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Harper, Noah, Alexander, Mia, and Sofia. Harper asserted: \"(Mia is a saint) if and only if Mia is a saint\". According to Noah, \"(Alexander is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 104, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 3]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-...
{"split": "train", "index": 8994}
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, Michael, Emily, Ella, and Alexander. \"if (Michael is a knight or Michael is a knave or Ella is a knight) then (Michael is a knave),\" Ava decla...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 105, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 3], [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"tell...
{"split": "train", "index": 8995}
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: Henry, Emma, Victoria, Elizabeth, and Sophia. Henry said, \"it is not the case that (Emma is a villain or Victoria is a villain or Elizabeth is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 106, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\"...
{"split": "train", "index": 8996}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: James, William, Isabella, Scarlett, and Jack. \"it is not the case that (Isabella is a laggard or Scarlett is a laggard or James is a pioneer),...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 107, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [\"lying\", 0], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]],...
{"split": "train", "index": 8997}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Harper, Jack, William, David, and Emma. \"it is not the case that (David is an angel if and only if William is a devil),\" Harper mentioned. Jack said ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 108, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 2]], [\"<=...
{"split": "train", "index": 8998}
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, Alexander, Michael, Daniel, and Emily. \"Michael is a sinner,\" Sophia claimed. Alexander was heard saying, \"Emily is a sinner\". Michael st...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 109, \"statements\": [[\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]]]], \"soluti...
{"split": "train", "index": 8999}