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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: Avery, Riley, Aria, Aurora, and Sebastian. \"(Riley is a hero) if and only if Riley is a villain,\" Avery declared. \"(Sebastian is a villain if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 810, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"lying\", 1]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 3]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2]...
{"split": "train", "index": 9700}
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, Mason, Owen, Isabella, and Ethan. Avery asserted: \"(Owen is a sage and Ethan is a sage) or (Ethan is a sage if and only if Avery is a sage) or (Mas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 811, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"lying\", 0], [\"or\", [...
{"split": "train", "index": 9701}
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, Mason, Amelia, Logan, and Charlotte. Daniel asserted: \"(Mason is an egoist if and only if Logan is an altruist) and (if Mason is an eg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 812, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"an...
{"split": "train", "index": 9702}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sofia, Michael, William, Owen, and Amelia. According to Sofia, \"(Amelia is a sinner or Sofia is a saint) or (if Owen is a sinner then Michael is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 813, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"and\", [...
{"split": "train", "index": 9703}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ava, Olivia, Scarlett, Elizabeth, and Avery. According to Ava, \"(Avery is a villain) and (Elizabeth is a villain if and only if Ava is a hero) and (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 814, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 0], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"l...
{"split": "train", "index": 9704}
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: Liam, Noah, Aria, Jackson, and Ethan. Liam said, \"it is not the case that (Ethan is a sage or Liam is a sage).\" Noah stated, \"(Ethan is a fool or Liam i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 815, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 2], [\"or\", [\"lying\", 2], [\...
{"split": "train", "index": 9705}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Grace, Jack, Ella, Henry, and Abigail. Grace noted, \"if Abigail is an egoist then (if Henry is an altruist then Henry is an egoist)\". Accordi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 816, \"statements\": [[\"->\", [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\",...
{"split": "train", "index": 9706}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Evelyn, Charlotte, Grace, Jackson, and Abigail. Evelyn noted, \"(Grace is a fool if and only if Charlotte is a fool) and (Charlotte is a sage and Abigail i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 817, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"telling-tr...
{"split": "train", "index": 9707}
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: Riley, Sophia, Aiden, Amelia, and Sofia. Riley said that it is not the case that (Amelia is an altruist or Sofia is an altruist). \"if (Sofia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 818, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\...
{"split": "train", "index": 9708}
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, Emily, Aurora, Emma, and Penelope. Avery noted, \"Emma is a knave\". Emily asserted: \"(Avery is a knight) and (Emma is a knave if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 819, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 0], [\"tel...
{"split": "train", "index": 9709}
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, Evelyn, Charlotte, Victoria, and Isabella. In a statement by Penelope: \"(Victoria is a sage or Evelyn is a sage) if and only if (Victoria is a f...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 820, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0...
{"split": "train", "index": 9710}
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, Scarlett, Ethan, Zoey, and Luke. In William's words: \"if (if Ethan is a sinner then Ethan is a saint) then (if Ethan is a sinner then Zoey ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 821, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 1], [\"or\", [\"not\...
{"split": "train", "index": 9711}
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, Amelia, Liam, Grace, and Jackson. Penelope noted, \"if Jackson is a knight then (Jackson is a knight if and only if Liam is a knight)\". Am...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 822, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 2], [\"not\", [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"...
{"split": "train", "index": 9712}
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: Penelope, Noah, Liam, William, and Daniel. According to Penelope, \"(if Liam is a devil then Penelope is an angel) or (Noah is a devil and Penelope is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 823, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-trut...
{"split": "train", "index": 9713}
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: Oliver, Samuel, Sofia, Avery, and William. \"(Samuel is a laggard if and only if Sofia is a pioneer) and (Samuel is a pioneer if and only if Ol...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 824, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 2]], [\"lying...
{"split": "train", "index": 9714}
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: Mason, Sophia, Chloe, Emily, and Jackson. \"Jackson is a knight,\" Mason mentioned. As Sophia put it, \"Sophia is a knight\". In a statement by Chloe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 825, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 1], [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"lying\", 0]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\",...
{"split": "train", "index": 9715}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Victoria, Riley, Elizabeth, Owen, and Evelyn. \"(Riley is a fool) and (Elizabeth is a fool or Victoria is a sage) and Evelyn is a fool,\" Victoria claimed....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 826, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 3]]],...
{"split": "train", "index": 9716}
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, Mason, Aria, Matthew, and Ella. \"(Aria is a laggard) or (if Ella is a laggard then Matthew is a pioneer),\" Abigail mentioned. Mason ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 827, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]],...
{"split": "train", "index": 9717}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Samuel, Emily, Aria, and David. Victoria noted, \"if (David is a knave) then (David is a knight and Aria is a knight)\". According to Samue...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 828, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"and\", [\"or...
{"split": "train", "index": 9718}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Grace, Lily, Ella, Alexander, and Noah. \"Alexander is an egoist,\" Grace claimed. \"Ella is an altruist,\" Lily claimed. Ella said, \"if (if A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 829, \"statements\": [[\"lying\", 3], [\"telling-truth\", 2], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"lying\", 3]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"tel...
{"split": "train", "index": 9719}
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, Alexander, Jackson, Sebastian, and Lily. Emma said, \"Emma is a pioneer.\" According to Alexander, \"if (if Sebastian is a pioneer then E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 830, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\"...
{"split": "train", "index": 9720}
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: Scarlett, Grace, Charlotte, Samuel, and Emma. \"if (Charlotte is an egoist or Grace is an egoist) then Charlotte is an egoist,\" Scarlett claim...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 831, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"lying\", 2]], [\"lying\", 3], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\...
{"split": "train", "index": 9721}
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, Jack, David, Penelope, and Benjamin. Jackson remarked, \"(Benjamin is a pioneer or Penelope is a laggard) and Benjamin is a pioneer an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 832, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\"...
{"split": "train", "index": 9722}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Henry, Grace, Matthew, William, and Samuel. \"(Henry is a pioneer and Samuel is a laggard) or Matthew is a laggard,\" Henry declared. Grace com...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 833, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 2]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 3]...
{"split": "train", "index": 9723}
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, Amelia, Alexander, Joseph, and Charlotte. David expressed that Alexander is a hero or (Charlotte is a villain if and only if Alexander is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 834, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"not\", [\"and\", [\"telling-truth\",...
{"split": "train", "index": 9724}
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, David, Penelope, William, and Aiden. As Ethan put it, \"(Penelope is a villain if and only if Aiden is a hero) and (Penelope is a hero)\". Dav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 835, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 3]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\"...
{"split": "train", "index": 9725}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Samuel, Grace, Harper, Benjamin, and Lucas. \"it is not the case that (Benjamin is a sinner and Harper is a sinner),\" Samuel claimed. In a statement...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 836, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 3], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [...
{"split": "train", "index": 9726}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Oliver, David, Sophia, Lucas, and Riley. Oliver told you that (David is a sage and Lucas is a sage) if and only if David is a sage. As David put it, \"if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 837, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying...
{"split": "train", "index": 9727}
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, Avery, Isabella, Michael, and Joseph. Ethan said, \"it is not the case that (Michael is a sinner or Avery is a saint or Isabella is a sinner)....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 838, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"t...
{"split": "train", "index": 9728}
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, Abigail, Olivia, Daniel, and Noah. According to Aria, \"if (if Abigail is a knight then Olivia is a knave) then (Olivia is a knight if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 839, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"telling-truth\", 2], [\"not\", [\"lying\", 0]]], [\"or\", [\"->\", [\"lying\", 4...
{"split": "train", "index": 9729}
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, William, Noah, Liam, and Sofia. In a statement by Mia: \"if (Mia is an egoist) then (if Liam is an altruist then Sofia is an egoist)\". Wi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 840, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]...
{"split": "train", "index": 9730}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Evelyn, James, Mia, Aiden, and David. Evelyn remarked, \"David is a sinner and (Aiden is a saint or Evelyn is a saint) and (Aiden is a sinner and Mia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 841, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"tell...
{"split": "train", "index": 9731}
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, Emma, Luke, Ava, and Sofia. In a statement by Michael: \"(Ava is a villain and Luke is a villain) if and only if (if Ava is a villain then A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 842, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4],...
{"split": "train", "index": 9732}
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, Matthew, Jacob, Owen, and Alexander. Abigail remarked, \"Alexander is an egoist if and only if (Alexander is an egoist and Matthew is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 843, \"statements\": [[\"<=>\", [\"lying\", 4], [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 1]]], [\"lying\", 2], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth...
{"split": "train", "index": 9733}
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: Daniel, Emma, Matthew, Jack, and Scarlett. \"Matthew is a sage,\" Daniel mentioned. Emma expressed that (if Matthew is a sage then Matthew is a fool) and (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 844, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 0]], ...
{"split": "train", "index": 9734}
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: Sophia, Aiden, Joseph, Jacob, and Ethan. In a statement by Sophia: \"Ethan is a pioneer and (Sophia is a pioneer if and only if Jacob is a lagg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 845, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"tel...
{"split": "train", "index": 9735}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Samuel, Jackson, Riley, Alexander, and Ella. Samuel stated, \"(if Samuel is a hero then Alexander is a villain) and (Jackson is a hero if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 846, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 0...
{"split": "train", "index": 9736}
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: David, Sebastian, Abigail, Jackson, and Oliver. David asserted: \"if (if Oliver is an egoist then Sebastian is an altruist) then (Sebastian is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 847, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]]...
{"split": "train", "index": 9737}
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: Jack, Luke, Michael, Sebastian, and Ella. Jack expressed that if Sebastian is a knave then (Michael is a knave and Ella is a knight). Luke noted, \"(...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 848, \"statements\": [[\"->\", [\"lying\", 3], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]...
{"split": "train", "index": 9738}
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, Samuel, Elizabeth, Jackson, and Evelyn. Charlotte commented, \"(Samuel is an altruist if and only if Jackson is an egoist) or (Evely...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 849, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 4]]], [\"telling-truth\", 3], [\"or\", [\"not\", [\"telling-truth\", 4]], ...
{"split": "train", "index": 9739}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Scarlett, Ella, Emma, and Evelyn. As Amelia put it, \"it is not the case that (Emma is a knight if and only if Emma is a knave)\". Scarlett s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 850, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"lying\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying...
{"split": "train", "index": 9740}
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, Alexander, Samuel, Elizabeth, and Liam. Benjamin said, \"it is not the case that (Benjamin is a villain).\" As Alexander put it, \"(Liam is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 851, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"tell...
{"split": "train", "index": 9741}
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, Scarlett, Michael, Daniel, and Victoria. According to Charlotte, \"Daniel is an angel if and only if (if Charlotte is an angel then Scarlett...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 852, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"telling-truth\", 0], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"tellin...
{"split": "train", "index": 9742}
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, William, Sophia, Jacob, and Mia. \"Liam is a knight,\" Liam mentioned. William told you that (Liam is a knight) if and only if (William is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 853, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"not\", [\"lying\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3]...
{"split": "train", "index": 9743}
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: Victoria, Ethan, Aiden, Logan, and Emma. Victoria asserted: \"(Ethan is a hero and Aiden is a hero and Logan is a hero) or Logan is a hero or (if Emm...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 854, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\"...
{"split": "train", "index": 9744}
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, Charlotte, Jackson, Logan, and Daniel. Penelope said, \"if (Logan is a sinner and Jackson is a sinner and Charlotte is a saint) then (Jacks...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 855, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"...
{"split": "train", "index": 9745}
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, Jacob, Noah, Grace, and Lily. As Avery put it, \"if (if Grace is a knave then Lily is a knight) then (Jacob is a knave or Noah is a knight or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 856, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 1]], [...
{"split": "train", "index": 9746}
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: Isabella, Liam, Sophia, Aria, and Lily. Isabella remarked, \"it is not the case that (if Sophia is a laggard then Liam is a laggard)\". As Liam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 857, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"tell...
{"split": "train", "index": 9747}
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: Riley, Liam, Sophia, Oliver, and Samuel. Riley commented, \"Sophia is a saint and (Sophia is a sinner if and only if Liam is a saint) and Liam is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 858, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 0]], [\"or\", [\"<=>\", [\"telling-tr...
{"split": "train", "index": 9748}
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: David, Penelope, Elizabeth, Grace, and Jack. David asserted: \"Penelope is an altruist\". In a statement by Penelope: \"Grace is an egoist\". E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 859, \"statements\": [[\"telling-truth\", 1], [\"lying\", 3], [\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 4], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], ...
{"split": "train", "index": 9749}
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: Sophia, Matthew, Amelia, Scarlett, and Alexander. \"Alexander is a sage if and only if Alexander is a fool,\" Sophia declared. Matthew asserted: \"if (if S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 860, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]...
{"split": "train", "index": 9750}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lucas, Ava, Isabella, Ella, and Michael. \"(Ella is a saint and Michael is a saint) or (Michael is a saint),\" Lucas claimed. Ava expressed that Luca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 861, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"lying\", 0], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], ...
{"split": "train", "index": 9751}
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, Owen, Aurora, Daniel, and David. Mia expressed that (Aurora is a villain or Owen is a hero or Daniel is a villain) or (Daniel is a villain and D...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 862, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"lying\",...
{"split": "train", "index": 9752}
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: Noah, Emma, Penelope, Logan, and Riley. Noah remarked, \"Emma is a knight and (Riley is a knave if and only if Riley is a knight) and (Logan is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 863, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]],...
{"split": "train", "index": 9753}
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, Chloe, Isabella, Sofia, and Samuel. According to Noah, \"if (Samuel is a hero if and only if Chloe is a villain) then (Samuel is a villain if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 864, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-...
{"split": "train", "index": 9754}
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, Sophia, Scarlett, Owen, and Emily. David told you that (Sophia is a fool and Owen is a fool) or (Owen is a fool or Scarlett is a sage or Emily is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 865, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4]]], [\"telling-truth\", 4], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [...
{"split": "train", "index": 9755}
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: Emma, Aria, Alexander, Grace, and Joseph. \"(Aria is an egoist or Alexander is an egoist) or (Alexander is an egoist) or (Grace is an egoist if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 866, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-...
{"split": "train", "index": 9756}
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: Mason, Jackson, Elizabeth, Lily, and Noah. As Mason put it, \"it is not the case that (Lily is a knave or Noah is a knave or Jackson is a knave)\". J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 867, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"t...
{"split": "train", "index": 9757}
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, Sophia, Joseph, Isabella, and Luke. In a statement by William: \"Isabella is a knight\". In a statement by Sophia: \"(if Isabella is a knigh...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 868, \"statements\": [[\"not\", [\"lying\", 3]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 0], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lyi...
{"split": "train", "index": 9758}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Matthew, Sebastian, Harper, Elizabeth, and William. According to Matthew, \"(Sebastian is a villain if and only if Sebastian is a hero) or (William i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 869, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=...
{"split": "train", "index": 9759}
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, Noah, Scarlett, Mia, and Mason. Daniel told you that it is not the case that (Noah is an egoist). Noah told you that (Noah is an altrui...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 870, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"no...
{"split": "train", "index": 9760}
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: Mia, Isabella, Oliver, Ava, and Chloe. Mia noted, \"Oliver is a devil\". \"it is not the case that (Ava is an angel if and only if Mia is an angel),\" ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 871, \"statements\": [[\"lying\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"tel...
{"split": "train", "index": 9761}
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, Jackson, Liam, Oliver, and Scarlett. Abigail commented, \"it is not the case that (Oliver is a laggard)\". In a statement by Jackson: ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 872, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"telling-truth\", 0], [\"or\", [\"lying\", 1], [\"and\", [\"lying\", 0],...
{"split": "train", "index": 9762}
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, Sophia, Samuel, Joseph, and Logan. In a statement by Olivia: \"Joseph is a knight\". Sophia remarked, \"Joseph is a knave\". \"Sophia is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 873, \"statements\": [[\"telling-truth\", 3], [\"lying\", 3], [\"or\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth...
{"split": "train", "index": 9763}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jacob, Henry, Alexander, Jackson, and David. Jacob said, \"if (Henry is a fool) then (if Alexander is a sage then David is a sage).\" \"David is a fool,\" ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 874, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 4]], [\"lying\", 0], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 0],...
{"split": "train", "index": 9764}
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, Mason, Olivia, Aiden, and Jacob. Daniel noted, \"if (Jacob is a sinner if and only if Aiden is a sinner) then Mason is a sinner\". Mason rema...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 875, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"lying\", 1]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telli...
{"split": "train", "index": 9765}
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, Ella, Emily, Ava, and Joseph. According to Noah, \"(Emily is a saint or Ella is a sinner or Joseph is a saint) and (Joseph is a sinner and Jose...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 876, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"->\", [\"<=>\",...
{"split": "train", "index": 9766}
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: Avery, Matthew, Penelope, Jack, and Sofia. Avery remarked, \"it is not the case that (Sofia is a villain and Sofia is a hero and Penelope is a villai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 877, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 2]]], [\"lying\", 4], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\...
{"split": "train", "index": 9767}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Alexander, Ava, Logan, and Grace. In a statement by Ella: \"Alexander is a knight\". According to Alexander, \"if (Logan is a knight) then (Log...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 878, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 4]], ...
{"split": "train", "index": 9768}
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, Evelyn, Jack, Benjamin, and Mia. Sebastian said, \"it is not the case that (Sebastian is an angel and Evelyn is a devil and Jack is an angel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 879, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 0], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 1], [\"or\", [\"lying\", 0], [\"or\", [\"lyin...
{"split": "train", "index": 9769}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Michael, Chloe, Avery, Sebastian, and Joseph. In Michael's words: \"(Sebastian is an angel or Avery is an angel or Sebastian is a devil) or (Joseph is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 880, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"tel...
{"split": "train", "index": 9770}
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, Alexander, Matthew, Samuel, and Lily. Victoria commented, \"Lily is an egoist and Alexander is an egoist\". \"Lily is an egoist if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 881, \"statements\": [[\"and\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"telling-truth\", 3], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"te...
{"split": "train", "index": 9771}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mason, Chloe, Aurora, David, and Noah. Mason expressed that if (Aurora is a villain) then (Mason is a hero and Noah is a hero). Chloe noted, \"if (No...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 882, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"l...
{"split": "train", "index": 9772}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Emma, Mia, Luke, and Michael. \"it is not the case that (Michael is a knight if and only if Luke is a knight)\" - Scarlett. Emma noted, \"M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 883, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 4], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\...
{"split": "train", "index": 9773}
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, Michael, Jacob, Olivia, and Mia. In Sebastian's words: \"(Jacob is a knight and Sebastian is a knight) and (Michael is a knight and Mia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 884, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"<=>\...
{"split": "train", "index": 9774}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Logan, Henry, Grace, Benjamin, and Matthew. According to Logan, \"Benjamin is an angel\". \"Logan is an angel,\" Henry mentioned. Grace said that (Grac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 885, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 0], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"->\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\...
{"split": "train", "index": 9775}
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: Emily, Noah, William, Jacob, and Ava. Emily said, \"Noah is a sinner.\" \"Noah is a saint,\" Noah claimed. William noted, \"Jacob is a saint\". \"(Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 886, \"statements\": [[\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 0]]], [\"and\", [\...
{"split": "train", "index": 9776}
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: Sophia, Henry, Aiden, Elizabeth, and Oliver. Sophia said that (Aiden is a laggard if and only if Oliver is a pioneer) or (Elizabeth is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 887, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]...
{"split": "train", "index": 9777}
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: Ethan, Elizabeth, Jackson, Penelope, and Aurora. Ethan commented, \"(if Ethan is an angel then Elizabeth is a devil) or Jackson is a devil\". In Elizab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 888, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"lying\", 2]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\",...
{"split": "train", "index": 9778}
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: Elizabeth, Olivia, Ava, Aiden, and Riley. Elizabeth stated, \"if (Olivia is a devil if and only if Olivia is an angel) then (Olivia is an angel or Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 889, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", ...
{"split": "train", "index": 9779}
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, Benjamin, Ethan, Penelope, and Joseph. Matthew said, \"(Penelope is a knight and Benjamin is a knave) or Benjamin is a knight.\" \"(Ethan is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 890, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"telli...
{"split": "train", "index": 9780}
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, Harper, Aria, Jackson, and David. Elizabeth asserted: \"David is a knight\". Harper expressed that (if Jackson is a knight then Elizabeth ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 891, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"lying\", 0], [\"<=>\", [\"or\", [\"lying\", 4], [\"lyi...
{"split": "train", "index": 9781}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Evelyn, Abigail, Noah, and Charlotte. Lily expressed that (Abigail is a knight if and only if Evelyn is a knight) and Noah is a knave and (if C...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 892, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"not\...
{"split": "train", "index": 9782}
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, Emily, Zoey, Olivia, and Sebastian. Avery stated, \"it is not the case that (Zoey is a knave and Emily is a knight and Emily is a knave)\". Em...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 893, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 1]]], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [...
{"split": "train", "index": 9783}
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, Olivia, Sofia, Jack, and Aurora. Penelope noted, \"it is not the case that (Jack is a laggard)\". Olivia said that (Olivia is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 894, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"and\", [\"and\", [\"telling...
{"split": "train", "index": 9784}
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, Henry, Penelope, Mason, and Matthew. Sebastian expressed that (Penelope is an angel or Mason is an angel or Matthew is a devil) if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 895, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"not\", [\"lying\",...
{"split": "train", "index": 9785}
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: Aiden, Joseph, William, Ethan, and Ava. In a statement by Aiden: \"if Joseph is an egoist then (William is an altruist)\". Joseph commented, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 896, \"statements\": [[\"->\", [\"lying\", 1], [\"not\", [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 3], [\"not\...
{"split": "train", "index": 9786}
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, Sebastian, Henry, Jacob, and Ava. Owen commented, \"if (Ava is a pioneer if and only if Sebastian is a pioneer) then (Henry is a pioneer ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 897, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"and\...
{"split": "train", "index": 9787}
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: Chloe, Aurora, Olivia, Logan, and Avery. In a statement by Chloe: \"if Aurora is a hero then (Olivia is a villain if and only if Logan is a villain)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 898, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2]...
{"split": "train", "index": 9788}
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, Matthew, Riley, Chloe, and Michael. Ella was heard saying, \"if (Chloe is a sinner or Michael is a sinner) then (Michael is a sinner and Michae...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 899, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 2], [\"and\", [\"lying\", 4], [\"not\", [\"lying\", 1]], ...
{"split": "train", "index": 9789}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Owen, Emily, Benjamin, and Lucas. In Abigail's words: \"it is not the case that (Emily is a knight and Lucas is a knight and Abigail is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 900, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"lying\", 4], [\"->\", [\"->\", [\"telling-truth\", 4], [\"tel...
{"split": "train", "index": 9790}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Matthew, Sebastian, Joseph, Harper, and David. Matthew told you that it is not the case that (David is an angel or Harper is an angel). Sebastian comme...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 901, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\"...
{"split": "train", "index": 9791}
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, Jacob, William, Ethan, and Samuel. Penelope commented, \"(Samuel is a knave and William is a knight) and Ethan is a knave\". \"(William is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 902, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\"telling-trut...
{"split": "train", "index": 9792}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jackson, Mason, Aria, Victoria, and David. Jackson commented, \"Victoria is a sage\". Mason remarked, \"(David is a fool or Victoria is a sage or Jackson i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 903, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 0]], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 1], [\"or\", [\"<=>\", [\"lying\", 4], [\"ly...
{"split": "train", "index": 9793}
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: Daniel, Riley, James, Michael, and Zoey. Daniel asserted: \"(Riley is a laggard) or (Riley is a pioneer and James is a pioneer and Michael is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 904, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 2...
{"split": "train", "index": 9794}
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: Sofia, Sebastian, Penelope, Amelia, and Scarlett. Sofia told you that it is not the case that (if Penelope is a pioneer then Sebastian is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 905, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"lying\", 2], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"<=>\",...
{"split": "train", "index": 9795}
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: Lily, Mason, Victoria, Aurora, and Avery. \"(Avery is a laggard or Victoria is a laggard or Aurora is a laggard) and (Avery is a laggard),\" Li...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 906, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2]...
{"split": "train", "index": 9796}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Grace, Joseph, Alexander, Mason, and Sofia. In a statement by Grace: \"if (Grace is an angel if and only if Sofia is a devil) then Grace is an angel\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 907, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 0]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], ...
{"split": "train", "index": 9797}
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, Aria, Lucas, Jack, and Lily. Benjamin told you that (Jack is a sinner and Aria is a sinner and Jack is a saint) if and only if (Aria is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 908, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"lying\", 4], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\"...
{"split": "train", "index": 9798}
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, Jacob, Luke, James, and Aiden. Sebastian expressed that if (Luke is a fool or James is a fool or James is a sage) then Luke is a sage. As Jacob ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 909, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\"...
{"split": "train", "index": 9799}