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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, Michael, Daniel, Ava, and Owen. Scarlett was heard saying, \"it is not the case that (Ava is an altruist)\". Michael was heard saying...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 188, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"telling-truth\", 4]], [\"->\"...
{"split": "train", "index": 11300}
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: Alexander, Riley, Penelope, Ava, and Scarlett. Alexander commented, \"(Penelope is a devil and Riley is a devil and Scarlett is a devil) or (Riley is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 189, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"->\", [\"and...
{"split": "train", "index": 11301}
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, Lucas, Grace, Benjamin, and Jackson. Henry asserted: \"it is not the case that (Henry is a hero or Jackson is a villain)\". Lucas said that (G...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 190, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 0],...
{"split": "train", "index": 11302}
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: Owen, Isabella, Jackson, Liam, and Evelyn. Owen said, \"if (Liam is a sinner and Liam is a saint and Jackson is a sinner and Isabella is a sinner) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 191, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\...
{"split": "train", "index": 11303}
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: Ella, Matthew, Logan, Isabella, and Scarlett. As Ella put it, \"(Scarlett is a sage and Isabella is a fool and Scarlett is a fool) and (Scarlett is a fool ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 192, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"tel...
{"split": "train", "index": 11304}
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, Sofia, Alexander, Abigail, and Matthew. Jack remarked, \"if (Alexander is a saint and Abigail is a saint and Sofia is a sinner and Matthew is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 193, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"lying\", 4], [\"not\", [\"or\", [\"tellin...
{"split": "train", "index": 11305}
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, Charlotte, Scarlett, Luke, and Ethan. In a statement by Aiden: \"(Charlotte is an angel if and only if Luke is a devil) and (Luke is a devil or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 194, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lyin...
{"split": "train", "index": 11306}
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, Harper, Mason, Lily, and Matthew. In a statement by Isabella: \"Harper is a pioneer or (Mason is a laggard or Mason is a pioneer)\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 195, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"not...
{"split": "train", "index": 11307}
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: Liam, Harper, Mason, Michael, and Benjamin. Liam remarked, \"Michael is a villain or Harper is a villain or (Mason is a villain or Harper is a villai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 196, \"statements\": [[\"or\", [\"lying\", 3], [\"lying\", 1], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\...
{"split": "train", "index": 11308}
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: Ethan, Abigail, Jack, Sebastian, and Benjamin. Ethan noted, \"if (Ethan is an egoist) then (Benjamin is an egoist or Sebastian is an egoist)\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 197, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-trut...
{"split": "train", "index": 11309}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sophia, Penelope, Aurora, Liam, and Daniel. \"(Liam is a hero or Daniel is a villain) or (Penelope is a hero and Daniel is a hero) or (Daniel is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 198, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 0], [\"telli...
{"split": "train", "index": 11310}
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, Isabella, Emma, Zoey, and Elizabeth. Noah remarked, \"(if Noah is a hero then Elizabeth is a villain) or (if Zoey is a hero then Isabella is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 199, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"telling-truth\", 4], [\"and\", [\"and\", ...
{"split": "train", "index": 11311}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ava, Samuel, Noah, Sophia, and Lily. Ava asserted: \"it is not the case that (Sophia is a pioneer if and only if Lily is a pioneer)\". Samuel a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 200, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"lyi...
{"split": "train", "index": 11312}
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: James, Alexander, Michael, David, and Lucas. James told you that Michael is a sinner. Alexander stated, \"(James is a saint if and only if David is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 201, \"statements\": [[\"lying\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"->\", [\"<=>\", [\"tel...
{"split": "train", "index": 11313}
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, Scarlett, Jackson, Benjamin, and Aiden. \"if Ethan is a sage then (Aiden is a fool),\" Ethan mentioned. Scarlett remarked, \"(Aiden is a fool) or (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 202, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]...
{"split": "train", "index": 11314}
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, Daniel, Lucas, Aurora, and Owen. As Penelope put it, \"(Owen is a sinner if and only if Owen is a saint) if and only if (if Penelope is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 203, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4],...
{"split": "train", "index": 11315}
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, Amelia, Henry, Abigail, and William. \"(Amelia is a knight and Henry is a knave and Abigail is a knave and William is a knave) or (if Abigail ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 204, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"lying\", 2], [\"<=>\", [\"not\"...
{"split": "train", "index": 11316}
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: Aurora, Scarlett, Emily, Avery, and Charlotte. Aurora was heard saying, \"Avery is a sage\". Scarlett asserted: \"(Charlotte is a fool) or (if Aurora is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 205, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 0], [\"lying\", 3]]], [\"lying\", 0], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\"...
{"split": "train", "index": 11317}
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, Grace, Samuel, Sofia, and Logan. \"(Grace is a laggard if and only if Sofia is a laggard) or (Sofia is a laggard or Samuel is a pioneer ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 206, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"telling-truth\", 0], [\"and\", [\"->\", [\"telling...
{"split": "train", "index": 11318}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Joseph, Aurora, James, Luke, and Mason. Joseph expressed that Joseph is a sage. In Aurora's words: \"(Luke is a sage) if and only if (James is a sage if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 207, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"lying\", 1], [\"lying\", 0]]], [\"->\...
{"split": "train", "index": 11319}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aiden, Isabella, Daniel, William, and Penelope. Aiden stated, \"(Penelope is a saint if and only if William is a sinner) and (Isabella is a sinner)\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 208, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 0], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1...
{"split": "train", "index": 11320}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Owen, Alexander, Amelia, and Evelyn. According to Abigail, \"(Evelyn is a saint if and only if Alexander is a sinner) if and only if Evelyn ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 209, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 4]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"t...
{"split": "train", "index": 11321}
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: William, Joseph, Sebastian, Benjamin, and Scarlett. William told you that Joseph is a devil. \"(William is a devil and William is an angel and Benjamin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 210, \"statements\": [[\"lying\", 1], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"...
{"split": "train", "index": 11322}
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: Grace, Logan, Olivia, Riley, and Ella. Grace said that Olivia is a sage. \"(Olivia is a sage if and only if Grace is a sage) or (Riley is a fool or Riley i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 211, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"telling-truth\", ...
{"split": "train", "index": 11323}
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: Harper, Chloe, Matthew, Michael, and Sofia. \"Chloe is a sage\" - Harper. Chloe said that (Sofia is a sage) and (if Sofia is a sage then Michael is a fool)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 212, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 0]...
{"split": "train", "index": 11324}
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, Noah, Harper, Sophia, and Matthew. In a statement by Ethan: \"Harper is a hero\". Noah was heard saying, \"(Sophia is a hero) or (Ethan is a v...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 213, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\...
{"split": "train", "index": 11325}
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: Alexander, Samuel, Logan, Grace, and Aria. In a statement by Alexander: \"(Samuel is a villain or Alexander is a hero or Aria is a villain or Grace i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 214, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\...
{"split": "train", "index": 11326}
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, Charlotte, Grace, Benjamin, and Scarlett. In a statement by Ella: \"Grace is a sinner if and only if (Benjamin is a saint and Scarlett is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 215, \"statements\": [[\"<=>\", [\"lying\", 2], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 0], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [...
{"split": "train", "index": 11327}
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: Evelyn, Olivia, Alexander, Riley, and Abigail. In a statement by Evelyn: \"Abigail is an egoist\". Olivia stated, \"(Riley is an egoist and Abi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 216, \"statements\": [[\"lying\", 4], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 0], [\"<=>\", [\"telling-t...
{"split": "train", "index": 11328}
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, Lily, Jackson, and Scarlett. Noah stated, \"if (if Jackson is a sinner then Noah is a saint) then (Jackson is a saint or Scarlett is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 217, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"or\", [\"lying\...
{"split": "train", "index": 11329}
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: Riley, Mia, Penelope, Samuel, and Aiden. As Riley put it, \"it is not the case that (if Aiden is a fool then Aiden is a sage)\". In Mia's words: \"(Penelop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 218, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 0], [\"not\", [\"lying...
{"split": "train", "index": 11330}
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, Oliver, Riley, Emily, and Sophia. Olivia asserted: \"it is not the case that (if Sophia is a devil then Oliver is an angel)\". Oliver remarked,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 219, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"->\...
{"split": "train", "index": 11331}
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, David, Michael, Luke, and Aurora. Mason said, \"if (Luke is a laggard and Mason is a pioneer and Michael is a pioneer and Aurora is a la...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 220, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-...
{"split": "train", "index": 11332}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Chloe, Charlotte, Aiden, Zoey, and Ethan. Chloe was heard saying, \"Aiden is a fool\". Charlotte asserted: \"it is not the case that (if Aiden is a sage th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 221, \"statements\": [[\"lying\", 2], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"lying\", 4], [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\...
{"split": "train", "index": 11333}
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, William, Daniel, and Ella. Sebastian noted, \"Daniel is a laggard\". Liam said, \"(Ella is a laggard) or (Ella is a laggard an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 222, \"statements\": [[\"lying\", 3], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\",...
{"split": "train", "index": 11334}
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, Chloe, Noah, James, and Aria. \"(Aria is a devil if and only if Noah is an angel) if and only if (Chloe is a devil and Isabella is an angel a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 223, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telli...
{"split": "train", "index": 11335}
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: Ethan, Joseph, Sebastian, Lucas, and Ella. Ethan noted, \"Sebastian is an altruist\". Joseph commented, \"(Sebastian is an egoist and Ella is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 224, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4...
{"split": "train", "index": 11336}
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, Michael, Luke, William, and Logan. Ella commented, \"it is not the case that (Michael is an egoist and William is an egoist and William i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 225, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 0], [\"telling-truth\", 4], [\"lyin...
{"split": "train", "index": 11337}
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, Liam, Mia, Luke, and Ella. \"it is not the case that (Liam is a fool if and only if Ella is a sage),\" Sofia declared. As Liam put it, \"Ella is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 226, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 4], [\"or\", [\"lying\", 0], [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"tellin...
{"split": "train", "index": 11338}
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, Samuel, Owen, Zoey, and David. Mia noted, \"(David is a fool) if and only if (David is a fool or Mia is a sage)\". Samuel asserted: \"(Mia is a sage) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 227, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 0]], [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4],...
{"split": "train", "index": 11339}
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: Alexander, Harper, Grace, Samuel, and Ethan. \"it is not the case that (Harper is a devil and Samuel is a devil),\" Alexander claimed. Harper asserted:...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 228, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], ...
{"split": "train", "index": 11340}
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: Ella, Benjamin, Noah, David, and Sofia. \"(if David is an angel then David is a devil) and (Noah is an angel) and (Noah is a devil if and only if Ella ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 229, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"...
{"split": "train", "index": 11341}
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: Liam, Jack, Aiden, Jacob, and Amelia. According to Liam, \"it is not the case that (Amelia is an egoist)\". As Jack put it, \"if (Aiden is an e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 230, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"...
{"split": "train", "index": 11342}
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: James, Sophia, Sebastian, Benjamin, and Harper. James asserted: \"it is not the case that (Sophia is a villain or Harper is a hero or Benjamin is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 231, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", ...
{"split": "train", "index": 11343}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Scarlett, Emma, Owen, Jack, and Logan. According to Scarlett, \"Owen is a fool\". Emma expressed that (Emma is a sage and Scarlett is a sage and Logan is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 232, \"statements\": [[\"lying\", 2], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"lying\", 2], [\"->\", [\"telling-truth\",...
{"split": "train", "index": 11344}
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: Oliver, Lucas, Evelyn, David, and Aria. As Oliver put it, \"(if Oliver is a knight then David is a knave) and (Evelyn is a knight or David is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 233, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", ...
{"split": "train", "index": 11345}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jacob, Olivia, James, Avery, and Liam. Jacob expressed that if (James is an altruist if and only if Avery is an egoist) then James is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 234, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 2]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 0]]], [\"and\", [\"or\"...
{"split": "train", "index": 11346}
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: Emma, Sebastian, Ava, Matthew, and Victoria. In Emma's words: \"Sebastian is a hero or (Ava is a villain)\". Sebastian asserted: \"if (Victoria is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 235, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\"...
{"split": "train", "index": 11347}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aiden, Abigail, Liam, Ethan, and Sophia. Aiden was heard saying, \"(Sophia is a sinner or Liam is a sinner or Abigail is a saint) and (Abigail is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 236, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"not\", [\"telling-truth\", 1]], [\"<...
{"split": "train", "index": 11348}
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: Aiden, David, Sofia, James, and Emily. \"if (James is a laggard or Sofia is a laggard) then (if Aiden is a pioneer then Sofia is a pioneer)\" -...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 237, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], ...
{"split": "train", "index": 11349}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Henry, Charlotte, Emily, Emma, and David. \"Emily is a devil,\" Henry declared. \"it is not the case that (Charlotte is an angel if and only if Emily i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 238, \"statements\": [[\"lying\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\...
{"split": "train", "index": 11350}
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, Ethan, Grace, Elizabeth, and Chloe. Oliver stated, \"(Oliver is a villain) if and only if (Grace is a hero and Ethan is a villain and Elizabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 239, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 3]]], [\"lying\", 2], [\"or\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"te...
{"split": "train", "index": 11351}
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, Ella, David, Riley, and Joseph. According to William, \"Joseph is an altruist\". Ella said that it is not the case that (William is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 240, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\...
{"split": "train", "index": 11352}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Samuel, Scarlett, William, and Isabella. Mia said that (Scarlett is a knave and Scarlett is a knight and Samuel is a knight) or (Scarlett is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 241, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"lying\", 2]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]],...
{"split": "train", "index": 11353}
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, Aria, Zoey, Abigail, and Luke. Sebastian told you that (Abigail is an altruist if and only if Zoey is an egoist) if and only if (Luk...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 242, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4...
{"split": "train", "index": 11354}
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, Mia, Liam, Sofia, and Avery. In Scarlett's words: \"(if Scarlett is a knight then Liam is a knight) and (if Liam is a knave then Sofia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 243, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 3]], [\"not\", [\"tellin...
{"split": "train", "index": 11355}
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, Harper, Zoey, Jack, and Emma. Daniel stated, \"(Emma is a sage and Emma is a fool) if and only if (Daniel is a sage or Emma is a sage or Zoey is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 244, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"tell...
{"split": "train", "index": 11356}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Henry, Grace, Sebastian, Samuel, and Scarlett. Henry noted, \"it is not the case that (Grace is an egoist or Henry is an altruist or Samuel is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 245, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"ly...
{"split": "train", "index": 11357}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sofia, Alexander, Mia, Chloe, and Emma. In Sofia's words: \"Alexander is a hero\". \"Emma is a hero,\" Alexander declared. \"Alexander is a villain i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 246, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 4], [\"<=>\", [\"lying\", 1], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 1], [\"lying\",...
{"split": "train", "index": 11358}
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: Amelia, Alexander, Joseph, Abigail, and Noah. Amelia remarked, \"it is not the case that (Joseph is a hero and Joseph is a villain and Amelia is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 247, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-t...
{"split": "train", "index": 11359}
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, Lucas, Oliver, Charlotte, and Riley. Abigail was heard saying, \"it is not the case that (Abigail is an altruist or Oliver is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 248, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"lying\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth...
{"split": "train", "index": 11360}
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, Daniel, Emily, Sebastian, and Emma. Ethan remarked, \"(Emma is a sinner and Emily is a sinner and Emily is a saint and Daniel is a saint) or (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 249, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"...
{"split": "train", "index": 11361}
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, Riley, Lily, Aurora, and Grace. In a statement by Charlotte: \"(Riley is a laggard) and (Grace is a laggard and Grace is a pioneer) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 250, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"and\", [\...
{"split": "train", "index": 11362}
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, Penelope, Ava, Daniel, and Owen. Grace commented, \"it is not the case that (Grace is an angel or Ava is a devil or Owen is an angel)\". Penelop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 251, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 4]]], [\"lying\", 4], [\"telling-truth\", 1], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telli...
{"split": "train", "index": 11363}
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: Aurora, Sofia, David, Michael, and Ava. Aurora said that David is a sage or (Ava is a sage and Michael is a fool). In a statement by Sofia: \"Sofia is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 252, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", ...
{"split": "train", "index": 11364}
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, Harper, Jacob, David, and Chloe. In a statement by Lily: \"if (if Chloe is a laggard then Jacob is a laggard) then (David is a pioneer or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 253, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [...
{"split": "train", "index": 11365}
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, Samuel, William, Noah, and Ethan. According to Harper, \"(Ethan is a saint or William is a sinner or Noah is a saint or Samuel is a sinner) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 254, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"...
{"split": "train", "index": 11366}
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, Scarlett, Samuel, Joseph, and Riley. In Mason's words: \"Scarlett is a knave\". In a statement by Scarlett: \"(Riley is a knave) or (if Joseph...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 255, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 2]...
{"split": "train", "index": 11367}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Samuel, Ethan, James, Ella, and Emily. Samuel stated, \"(Ella is an angel if and only if Ella is a devil) or James is an angel or James is a devil\". I...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 256, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"lying\", 4], [\"telling-truth\", 2], [\"or\", [\"...
{"split": "train", "index": 11368}
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: Matthew, Scarlett, Amelia, Victoria, and Daniel. \"(Amelia is a laggard or Amelia is a pioneer) if and only if (Scarlett is a laggard)\" - Matt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 257, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"lying\", 2], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"<=>\", [\"and\", [\"lying\", ...
{"split": "train", "index": 11369}
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: Emma, Alexander, Penelope, Lucas, and Henry. Emma remarked, \"Penelope is a saint\". In Alexander's words: \"(if Emma is a sinner then Henry is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 258, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"telli...
{"split": "train", "index": 11370}
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: Logan, James, Ella, Ethan, and Luke. \"if (James is a knight and Ella is a knave) then (Ella is a knight if and only if James is a knight)\" - Logan....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 259, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", ...
{"split": "train", "index": 11371}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Alexander, Avery, Luke, Harper, and Ethan. According to Alexander, \"(if Harper is a sage then Luke is a sage) and (Alexander is a sage if and only if Harp...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 260, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\...
{"split": "train", "index": 11372}
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: Emma, Penelope, Samuel, Charlotte, and Luke. \"if (Samuel is a sinner if and only if Luke is a sinner) then Charlotte is a saint,\" Emma declared. As...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 261, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"lying\...
{"split": "train", "index": 11373}
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: William, Luke, Matthew, Harper, and Ella. William asserted: \"Harper is a fool or (Matthew is a fool and Ella is a fool and Harper is a fool) or Matthew is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 262, \"statements\": [[\"or\", [\"lying\", 3], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"tellin...
{"split": "train", "index": 11374}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ava, Benjamin, Mason, Logan, and Charlotte. In Ava's words: \"(Ava is an egoist) and (Charlotte is an egoist and Mason is an altruist) and (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 263, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"lyin...
{"split": "train", "index": 11375}
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: Abigail, Penelope, William, Elizabeth, and Michael. Abigail asserted: \"Elizabeth is a fool and (Penelope is a sage if and only if Penelope is a fool) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 264, \"statements\": [[\"and\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"->\", [\"te...
{"split": "train", "index": 11376}
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, Elizabeth, Ella, Aurora, and Joseph. Matthew asserted: \"if (Ella is a knave) then (Ella is a knight and Matthew is a knight and Aurora is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 265, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 1]]], [\"lying\", 0], [\"lying\", 3], [\"and\", [\"not\", [\"telli...
{"split": "train", "index": 11377}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Liam, Ella, Chloe, Ava, and Ethan. \"(Ethan is a devil) or (Chloe is an angel and Ella is a devil and Chloe is a devil and Ava is a devil) or Ella is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 266, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 2], [\"lying\", 3]], [\"lying\", 1]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [...
{"split": "train", "index": 11378}
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: Zoey, Harper, Ava, Daniel, and David. Zoey noted, \"if Harper is a sage then (Ava is a sage)\". \"Ava is a sage if and only if (Harper is a fool),\" Harper...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 267, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 1], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"t...
{"split": "train", "index": 11379}
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: Isabella, Emily, Henry, Logan, and Ava. \"(Ava is a fool) and (Emily is a sage if and only if Henry is a sage) and Ava is a fool and (if Ava is a fool then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 268, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 4], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-tru...
{"split": "train", "index": 11380}
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, Luke, Avery, Mason, and Chloe. Sebastian said that (Luke is a knave or Mason is a knight or Chloe is a knave) if and only if (Luke is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 269, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 4], [\"telling-truth\"...
{"split": "train", "index": 11381}
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, David, Lily, Grace, and Liam. In Daniel's words: \"(if Grace is an altruist then Lily is an altruist) or (Grace is an altruist and Liam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 270, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"lying\"...
{"split": "train", "index": 11382}
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: Logan, Jack, Matthew, James, and Noah. Logan remarked, \"(Jack is a knight and Noah is a knave and Logan is a knight and Matthew is a knight) or (Log...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 271, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 1]]], [\"telling-truth\", ...
{"split": "train", "index": 11383}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, James, Samuel, Penelope, and Alexander. \"if (Penelope is a knave) then (Penelope is a knight if and only if Alexander is a knight)\" - Jack...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 272, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]], [\"or\", [\"t...
{"split": "train", "index": 11384}
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: Abigail, James, Emma, Daniel, and Ella. According to Abigail, \"Ella is a villain\". James remarked, \"if (Ella is a hero) then (Daniel is a villain ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 273, \"statements\": [[\"lying\", 4], [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 0]], [\"and\"...
{"split": "train", "index": 11385}
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: Luke, Penelope, William, Michael, and Abigail. Luke noted, \"(Penelope is an altruist) or (Penelope is an altruist if and only if Abigail is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 274, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"or...
{"split": "train", "index": 11386}
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, Charlotte, Elizabeth, Ella, and Aurora. Chloe said that (Charlotte is a villain if and only if Elizabeth is a villain) if and only if (Ella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 275, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], ...
{"split": "train", "index": 11387}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Joseph, David, Olivia, Henry, and Emily. Joseph asserted: \"Emily is a sinner\". David remarked, \"(Joseph is a saint and Olivia is a sinner and Davi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 276, \"statements\": [[\"lying\", 4], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"lying\", 3]], [\"lying\", 1]]...
{"split": "train", "index": 11388}
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, Grace, Emily, Harper, and Lucas. Abigail said, \"Lucas is a devil.\" \"(Harper is a devil if and only if Abigail is a devil) or (if Abigail is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 277, \"statements\": [[\"lying\", 4], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"lying\", 3]]], [\"<=>\"...
{"split": "train", "index": 11389}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Joseph, Harper, Grace, Penelope, and Jackson. Joseph noted, \"Jackson is a sinner or (Grace is a saint and Penelope is a saint and Joseph is a saint ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 278, \"statements\": [[\"or\", [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"te...
{"split": "train", "index": 11390}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Joseph, Owen, Isabella, Ethan, and Aiden. According to Joseph, \"it is not the case that (Owen is an altruist if and only if Ethan is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 279, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"lying\", 0]], [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"...
{"split": "train", "index": 11391}
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: Scarlett, Henry, Charlotte, Penelope, and Grace. Scarlett asserted: \"(Penelope is a pioneer or Charlotte is a pioneer) or (Charlotte is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 280, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"lying\", 4]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\...
{"split": "train", "index": 11392}
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, Ella, Logan, and Emily. Daniel remarked, \"Logan is an altruist\". Noah stated, \"Emily is an egoist\". In Ella's words: \"it is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 281, \"statements\": [[\"telling-truth\", 3], [\"lying\", 4], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4...
{"split": "train", "index": 11393}
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, Scarlett, Amelia, Sophia, and Emily. Jackson noted, \"it is not the case that (Emily is an altruist and Amelia is an egoist and Sophia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 282, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"...
{"split": "train", "index": 11394}
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: James, Noah, Daniel, Abigail, and Henry. \"if (if Abigail is an angel then Noah is an angel) then Abigail is an angel,\" James mentioned. Noah noted, \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 283, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"telling-truth\", 4], [\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"telling-truth\", 0], [\"or\", [\"tell...
{"split": "train", "index": 11395}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Chloe, Benjamin, Henry, and Luke. Joseph noted, \"it is not the case that (if Luke is a villain then Luke is a hero)\". According to Chloe, \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 284, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"lying\", 2], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 4], [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [...
{"split": "train", "index": 11396}
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: Noah, Michael, Elizabeth, Penelope, and Grace. In Noah's words: \"it is not the case that (Penelope is a devil or Michael is an angel)\". \"it is not t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 285, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0],...
{"split": "train", "index": 11397}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Owen, Jackson, Luke, Grace, and Lucas. Owen asserted: \"if (if Lucas is an angel then Grace is an angel) then (if Grace is an angel then Lucas is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 286, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"lying\", 4], [\"telling-...
{"split": "train", "index": 11398}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Sebastian, Mia, Grace, and Daniel. Liam stated, \"it is not the case that (Sebastian is a laggard and Grace is a pioneer and Grace is a l...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 287, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 4]]], [\"lying\", 4], [\"telling-truth\", 3], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\"...
{"split": "train", "index": 11399}