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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Elizabeth, Scarlett, Luke, Logan, and Amelia. Elizabeth expressed that (if Scarlett is a fool then Amelia is a sage) if and only if (Luke is a sage). \"if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1388, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"->\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\",...
{"split": "train", "index": 12500}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Joseph, Abigail, James, and Mason. Sophia commented, \"(Abigail is a knave or Joseph is a knight) or (Joseph is a knight if and only if Mason...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1389, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]...
{"split": "train", "index": 12501}
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: Jack, Harper, Charlotte, Lucas, and Benjamin. Jack stated, \"(Benjamin is a pioneer or Lucas is a pioneer or Benjamin is a laggard) or Lucas is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1390, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 4]], [\"lying\", 3], [\"telling-truth\", 1], [\"and\", [\"lying\", 2], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 3]],...
{"split": "train", "index": 12502}
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: Michael, Scarlett, Lily, Liam, and Benjamin. According to Michael, \"Lily is an altruist\". Scarlett commented, \"(Michael is an egoist and Sca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1391, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 0]], [\"telling-truth\", 1], [\"or\", [\"->\", [\"telling-truth\",...
{"split": "train", "index": 12503}
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, Jacob, Daniel, Mia, and Zoey. Penelope stated, \"(Penelope is a laggard) or (Jacob is a pioneer if and only if Zoey is a pioneer)\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1392, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"lying\", 2], [\"not\", [\"telling-tru...
{"split": "train", "index": 12504}
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: Mia, David, Samuel, Daniel, and Sofia. Mia was heard saying, \"Samuel is a saint\". In David's words: \"(Daniel is a sinner if and only if Mia is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1393, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-...
{"split": "train", "index": 12505}
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, Emily, Amelia, Jackson, and Avery. As Mia put it, \"it is not the case that (Amelia is a fool or Amelia is a sage or Emily is a fool)\". \"it is not t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1394, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"t...
{"split": "train", "index": 12506}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Luke, Oliver, Riley, David, and Benjamin. Luke stated, \"Riley is a laggard\". Oliver said that David is a laggard. \"it is not the case that (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1395, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"lying\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"->\", [\"telling-truth\", ...
{"split": "train", "index": 12507}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Henry, David, Liam, and Samuel. Aiden asserted: \"if (Henry is a knave or Samuel is a knave) then David is a knight\". Henry was heard saying,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1396, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 2]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]...
{"split": "train", "index": 12508}
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, Owen, Jackson, Jack, and Charlotte. Mia remarked, \"Jackson is an angel and (Owen is a devil and Owen is an angel and Charlotte is an angel and Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1397, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 4], [\"telling-t...
{"split": "train", "index": 12509}
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, Charlotte, Lily, Henry, and Mason. \"(Lily is a sage and Charlotte is a sage and Henry is a sage and Henry is a fool) if and only if Lily is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1398, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 3]], [\"lying\", 2]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth...
{"split": "train", "index": 12510}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Daniel, Logan, Olivia, Amelia, and Henry. \"(Daniel is a hero and Olivia is a hero and Henry is a villain) or (Amelia is a villain) or (Logan is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1399, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"an...
{"split": "train", "index": 12511}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aurora, Ava, Mason, Liam, and Daniel. Aurora told you that Ava is an angel. \"if (if Daniel is an angel then Daniel is a devil) then Ava is an angel\" ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1400, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 1]], [\"telling-truth\", 0], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 0]]], [\"not\", [\"->\",...
{"split": "train", "index": 12512}
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, Samuel, Amelia, Avery, and Charlotte. Chloe was heard saying, \"(Chloe is a fool) and Avery is a sage and (Amelia is a fool or Chloe is a sage or Ch...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1401, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 3], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 0],...
{"split": "train", "index": 12513}
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, Logan, Sofia, Ethan, and Alexander. Victoria stated, \"(Logan is a sage) or (if Alexander is a fool then Alexander is a sage)\". \"if (Sofia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1402, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"tell...
{"split": "train", "index": 12514}
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, Lily, Evelyn, Grace, and Liam. \"(if Grace is a laggard then Liam is a pioneer) or Evelyn is a pioneer or (if Grace is a pioneer then E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1403, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-trut...
{"split": "train", "index": 12515}
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, Alexander, Samuel, Ethan, and Amelia. \"if Samuel is a laggard then (Alexander is a laggard and Liam is a pioneer and Samuel is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1404, \"statements\": [[\"->\", [\"lying\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 3]]], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 0], [\...
{"split": "train", "index": 12516}
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, Isabella, Sebastian, Logan, and Aurora. Matthew said that it is not the case that (if Isabella is a hero then Isabella is a villain). \"(Log...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1405, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"->\", [\"telling-truth\", 1], [\"te...
{"split": "train", "index": 12517}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: James, Jacob, Harper, Samuel, and Luke. According to James, \"Jacob is an altruist\". \"if Harper is an egoist then (Samuel is an altruist or J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1406, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"lying\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\...
{"split": "train", "index": 12518}
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: Victoria, Riley, Amelia, Henry, and Penelope. Victoria remarked, \"Penelope is a pioneer\". According to Riley, \"(Amelia is a laggard and Pene...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1407, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"lying\", 1], [\"or\", [\"telli...
{"split": "train", "index": 12519}
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: Aurora, Luke, Ella, Michael, and Aiden. According to Aurora, \"(Aiden is an altruist) and Aurora is an altruist and Michael is an altruist and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1408, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"->\", ...
{"split": "train", "index": 12520}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Harper, Aurora, Elizabeth, Emma, and Oliver. Harper said that (if Elizabeth is a hero then Harper is a hero) if and only if (Emma is a villain and Ha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1409, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 4], [\...
{"split": "train", "index": 12521}
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: Charlotte, Jack, Jacob, Logan, and Henry. As Charlotte put it, \"(Jack is a fool if and only if Jacob is a fool) if and only if (Henry is a sage)\". \"(Cha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1410, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 4...
{"split": "train", "index": 12522}
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, Penelope, Jacob, Ava, and Noah. In a statement by Isabella: \"it is not the case that (Noah is a fool)\". Penelope was heard saying, \"it is not ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1411, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"ly...
{"split": "train", "index": 12523}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Noah, Alexander, Chloe, Aurora, and Abigail. \"if (Aurora is a pioneer or Chloe is a pioneer or Abigail is a pioneer or Alexander is a pioneer)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1412, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 3]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0], [\"lying\", 3...
{"split": "train", "index": 12524}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Michael, Avery, Noah, Oliver, and Aiden. Michael was heard saying, \"(Aiden is a pioneer if and only if Michael is a pioneer) and (Oliver is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1413, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\...
{"split": "train", "index": 12525}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Olivia, Samuel, Matthew, Aria, and Sofia. \"Matthew is a sage,\" Olivia claimed. According to Samuel, \"(Olivia is a sage if and only if Olivia is a fool) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1414, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-tr...
{"split": "train", "index": 12526}
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, Alexander, Ava, William, and Sophia. Noah said that if (if Ava is a hero then William is a hero) then (Noah is a hero or William is a hero). Al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1415, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 0], [\"telling...
{"split": "train", "index": 12527}
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, Jack, Mia, Henry, and Evelyn. \"if (Mia is a saint) then (Evelyn is a sinner or Henry is a sinner or Jack is a saint or Mia is a saint),\" Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1416, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"<=>...
{"split": "train", "index": 12528}
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: Zoey, William, Lily, Sebastian, and Jackson. \"(if Sebastian is a devil then Jackson is a devil) if and only if (Lily is an angel or Sebastian is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1417, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-trut...
{"split": "train", "index": 12529}
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, Liam, Sophia, Daniel, and Logan. Ella stated, \"if (Sophia is a sinner and Logan is a sinner and Liam is a sinner) then (if Liam is a sinner th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1418, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 4]], [\"->\",...
{"split": "train", "index": 12530}
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, Abigail, James, Ava, and Sophia. Logan commented, \"it is not the case that (James is a devil or Sophia is an angel)\". In a statement by Abigai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1419, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]...
{"split": "train", "index": 12531}
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, Riley, Owen, Jackson, and Matthew. David said, \"if (David is a hero or Jackson is a villain or Jackson is a hero) then (if Jackson is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1420, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"->\", [\"->\"...
{"split": "train", "index": 12532}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Evelyn, James, Mason, and Oliver. Aiden told you that (Mason is a knave) or James is a knave or (if Mason is a knight then James is a knight) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1421, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 2], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"lying\", 0...
{"split": "train", "index": 12533}
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, Ella, Elizabeth, Logan, and Joseph. Aurora said, \"(Ella is a fool or Logan is a sage) and (Elizabeth is a fool and Joseph is a fool and Elizabeth ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1422, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"tellin...
{"split": "train", "index": 12534}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Michael, Zoey, Jack, Scarlett, and Noah. Michael told you that (Michael is a sage or Noah is a sage or Zoey is a fool) and (Noah is a fool and Michael is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1423, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\...
{"split": "train", "index": 12535}
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: Charlotte, Sophia, Victoria, Scarlett, and Chloe. \"(Chloe is a saint) if and only if (Chloe is a sinner if and only if Chloe is a saint)\" - Charlot...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1424, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]], [\"<=>\"...
{"split": "train", "index": 12536}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Charlotte, James, Isabella, and Grace. \"(James is a knave and Aurora is a knight and Charlotte is a knave) and (James is a knight or Charlot...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1425, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"tell...
{"split": "train", "index": 12537}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Oliver, Ella, Riley, Scarlett, and Chloe. In a statement by Oliver: \"Riley is a saint\". Ella noted, \"(Riley is a saint if and only if Chloe is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1426, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 0]]], [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth...
{"split": "train", "index": 12538}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Daniel, Elizabeth, Olivia, Noah, and Abigail. Daniel noted, \"(Elizabeth is a hero and Abigail is a villain and Olivia is a hero) if and only if Eliz...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1427, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 1]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"or\", [\"and...
{"split": "train", "index": 12539}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lily, Aurora, Ava, Penelope, and Mia. Lily said, \"(Mia is a fool and Penelope is a sage) or (if Lily is a sage then Ava is a sage).\" Aurora told you that...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1428, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"tell...
{"split": "train", "index": 12540}
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, Luke, Olivia, William, and Victoria. Joseph said that if (Luke is a sinner if and only if Olivia is a sinner) then (William is a sinner). Luk...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1429, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2], ...
{"split": "train", "index": 12541}
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, Mia, Isabella, Elizabeth, and Victoria. In a statement by Charlotte: \"if (Mia is an altruist and Victoria is an altruist and Elizab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1430, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling...
{"split": "train", "index": 12542}
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, Chloe, William, Olivia, and Luke. Aurora commented, \"if William is a fool then (Olivia is a fool or Luke is a fool)\". \"it is not the case that (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1431, \"statements\": [[\"->\", [\"lying\", 2], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"tel...
{"split": "train", "index": 12543}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aiden, Penelope, Noah, Aria, and Isabella. Aiden expressed that Isabella is a sage. Penelope noted, \"it is not the case that (Aiden is a sage or Noah is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1432, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4], [\"lying\", 0]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"...
{"split": "train", "index": 12544}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Logan, Charlotte, Jackson, Joseph, and Aria. Logan said, \"if Aria is an altruist then (Joseph is an altruist if and only if Jackson is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1433, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\...
{"split": "train", "index": 12545}
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, Oliver, Elizabeth, Amelia, and Liam. Aria said that if (Liam is a knave and Aria is a knight) then Amelia is a knight. \"(Elizabeth is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1434, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"tellin...
{"split": "train", "index": 12546}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Michael, Alexander, Aria, Lily, and Sebastian. Michael was heard saying, \"(Aria is a laggard if and only if Sebastian is a pioneer) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1435, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 1]], [\"->\", [\"tel...
{"split": "train", "index": 12547}
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, Aria, Isabella, Scarlett, and Avery. As Matthew put it, \"Scarlett is a pioneer and Avery is a laggard and (if Scarlett is a pioneer t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1436, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"or\"...
{"split": "train", "index": 12548}
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, James, Jackson, Joseph, and Charlotte. \"(Charlotte is an angel and Joseph is an angel and Jackson is a devil and James is a devil) or (Joseph...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1437, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\"...
{"split": "train", "index": 12549}
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, Zoey, Sofia, Samuel, and Jacob. As Penelope put it, \"Jacob is a saint if and only if (Jacob is a saint)\". \"(if Penelope is a sinner then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1438, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"not\", [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"l...
{"split": "train", "index": 12550}
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, Zoey, Matthew, Jacob, and Daniel. Mia stated, \"Jacob is a knave and (Daniel is a knight) and Jacob is a knight\". Zoey noted, \"it is not the c...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1439, \"statements\": [[\"and\", [\"lying\", 3], [\"not\", [\"lying\", 4]], [\"telling-truth\", 3]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 3]]], [\"telling-truth\", 0], [\"not\", [\"->\", [\"l...
{"split": "train", "index": 12551}
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, Lily, Joseph, and Zoey. Sebastian was heard saying, \"(Luke is a knave or Lily is a knight or Luke is a knight or Sebastian is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1440, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"telling-truth\", 0], [\"->\", [\"or\", [\...
{"split": "train", "index": 12552}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Ethan, Abigail, Oliver, and Riley. \"Ethan is a knight or (Oliver is a knave or Abigail is a knight or Abigail is a knave or Riley is a knave)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1441, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 0]], [\"or\", [\"...
{"split": "train", "index": 12553}
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, Daniel, Jacob, Evelyn, and Abigail. Benjamin expressed that Evelyn is a villain. Daniel noted, \"it is not the case that (Benjamin is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1442, \"statements\": [[\"lying\", 3], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 0], [\"telling-truth\", 1]]], [\"->\", [\"-...
{"split": "train", "index": 12554}
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, Elizabeth, Henry, Emily, and Aurora. Abigail asserted: \"Elizabeth is an egoist if and only if (Henry is an altruist if and only if El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1443, \"statements\": [[\"<=>\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]],...
{"split": "train", "index": 12555}
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, Aurora, Penelope, Jackson, and Mia. Isabella noted, \"(Mia is a pioneer or Mia is a laggard) or Isabella is a pioneer\". \"if (Aurora...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1444, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 0]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\...
{"split": "train", "index": 12556}
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: Lily, Olivia, Matthew, Emily, and Samuel. \"it is not the case that (Samuel is a villain and Matthew is a villain and Olivia is a villain and Emily i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1445, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>...
{"split": "train", "index": 12557}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Amelia, Evelyn, Oliver, Elizabeth, and Olivia. According to Amelia, \"(Olivia is a fool) and Oliver is a fool and (Olivia is a fool or Elizabeth is a sage)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1446, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 2], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 0], [\"te...
{"split": "train", "index": 12558}
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: Owen, Aurora, Oliver, Daniel, and Emma. Owen asserted: \"if (Aurora is a knight) then Oliver is a knight\". Aurora expressed that it is not the case ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1447, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 2]...
{"split": "train", "index": 12559}
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, Lily, Owen, Riley, and Elizabeth. Alexander stated, \"if (Riley is a sage or Lily is a sage or Elizabeth is a sage or Alexander is a sage) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1448, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\...
{"split": "train", "index": 12560}
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: Mason, Isabella, Sofia, Avery, and Owen. \"if (Avery is an altruist or Isabella is an egoist) then (Sofia is an egoist),\" Mason declared. \"(i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1449, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]...
{"split": "train", "index": 12561}
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, Jacob, Jackson, Aria, and Charlotte. Liam commented, \"Aria is a laggard\". In a statement by Jacob: \"Jacob is a pioneer\". Jackson was ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1450, \"statements\": [[\"lying\", 3], [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling...
{"split": "train", "index": 12562}
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, Evelyn, Samuel, Matthew, and Sebastian. As James put it, \"(Samuel is a villain and Evelyn is a hero) and (Samuel is a villain and James is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1451, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 0], [\"telling-trut...
{"split": "train", "index": 12563}
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, Mason, Aiden, Daniel, and Olivia. Liam was heard saying, \"(if Olivia is a devil then Aiden is a devil) or (Mason is an angel if and only if Dani...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1452, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 1], [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 2], [\"telling-...
{"split": "train", "index": 12564}
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, Aiden, Olivia, Avery, and Logan. \"if (Olivia is a pioneer or Avery is a laggard) then (Avery is a pioneer or Avery is a laggard or Aiden...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1453, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 4], [\...
{"split": "train", "index": 12565}
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: Zoey, Penelope, Sofia, Noah, and Scarlett. \"(Sofia is a saint if and only if Scarlett is a saint) or (Scarlett is a sinner if and only if Noah is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1454, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 0]...
{"split": "train", "index": 12566}
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, Abigail, Penelope, David, and Owen. \"(Abigail is a knight) or (Abigail is a knave if and only if Owen is a knight)\" - Avery. Abigail express...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1455, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 3], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 0]], [\"and\", [\"t...
{"split": "train", "index": 12567}
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, Matthew, Mason, Jackson, and Amelia. \"(Amelia is a fool and Matthew is a sage and Jackson is a fool) or (Mason is a sage and Matthew is a fool and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1456, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"and\"...
{"split": "train", "index": 12568}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Isabella, Riley, Emily, Avery, and Logan. Isabella noted, \"it is not the case that (Emily is an altruist)\". Riley was heard saying, \"Isabell...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1457, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"->\", [\"<=>\", [\...
{"split": "train", "index": 12569}
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, Samuel, Emily, Matthew, and Ava. \"(Matthew is a laggard or Ava is a pioneer) or (Emily is a pioneer if and only if Matthew is a lag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1458, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\...
{"split": "train", "index": 12570}
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, Avery, Elizabeth, Alexander, and Emma. Lucas remarked, \"(Emma is a sinner) or (Alexander is a sinner and Lucas is a saint and Avery is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1459, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 3...
{"split": "train", "index": 12571}
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: Jacob, Luke, Daniel, Matthew, and Joseph. Jacob expressed that it is not the case that (Luke is a knave if and only if Matthew is a knight). \"if (Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1460, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 0]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", ...
{"split": "train", "index": 12572}
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: Benjamin, Avery, Owen, Daniel, and Ella. Benjamin noted, \"Benjamin is a pioneer and (Ella is a laggard if and only if Avery is a laggard) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1461, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"and...
{"split": "train", "index": 12573}
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, Abigail, William, Emily, and Mason. Sebastian said, \"(Mason is a pioneer or Emily is a laggard or Emily is a pioneer) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1462, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\...
{"split": "train", "index": 12574}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lucas, Joseph, Ava, Grace, and Noah. Lucas commented, \"if Grace is a fool then Grace is a sage\". \"(Ava is a fool or Grace is a sage or Lucas is a fool) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1463, \"statements\": [[\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"telling-tru...
{"split": "train", "index": 12575}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Matthew, Mason, Aurora, and Zoey. As Sebastian put it, \"Matthew is a knave and (Zoey is a knave and Aurora is a knave and Mason is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1464, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling...
{"split": "train", "index": 12576}
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, Penelope, David, Ava, and Aurora. As Sofia put it, \"David is a sinner if and only if (David is a saint and Ava is a saint)\". \"it is not the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1465, \"statements\": [[\"<=>\", [\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-...
{"split": "train", "index": 12577}
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, Victoria, Mason, David, and Jack. In a statement by Ava: \"if (if David is a hero then Ava is a hero) then (David is a hero or David is a villai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1466, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 3], [...
{"split": "train", "index": 12578}
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, Harper, Penelope, Emily, and David. Evelyn commented, \"if (if Evelyn is a sage then Emily is a sage) then (if Harper is a fool then Evelyn is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1467, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"lying\", 0], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0]...
{"split": "train", "index": 12579}
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, Evelyn, James, Lily, and Chloe. In a statement by Daniel: \"Evelyn is a sage\". Evelyn remarked, \"if (if James is a fool then James is a sage) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1468, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\"...
{"split": "train", "index": 12580}
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, Evelyn, Noah, Matthew, and Ava. \"if Evelyn is an angel then (if Evelyn is an angel then Noah is a devil),\" Olivia mentioned. Evelyn stated, \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1469, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 0]...
{"split": "train", "index": 12581}
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, Lucas, Henry, Joseph, and David. In Elizabeth's words: \"if (Joseph is a knight and Henry is a knight and Lucas is a knave and Lucas is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1470, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"lying\", 0], [\"or\", [\"and\", [\"lying\", 3], ...
{"split": "train", "index": 12582}
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: Chloe, Amelia, Luke, Avery, and Michael. As Chloe put it, \"Luke is a pioneer and (Amelia is a laggard if and only if Avery is a laggard) and (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1471, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 4]]...
{"split": "train", "index": 12583}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ella, Zoey, Daniel, Samuel, and Aria. In a statement by Ella: \"Daniel is a pioneer if and only if (Samuel is a laggard)\". \"(Samuel is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1472, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\...
{"split": "train", "index": 12584}
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, Evelyn, Daniel, Matthew, and Riley. Sophia asserted: \"(if Riley is a villain then Sophia is a hero) or Riley is a hero\". Evelyn commented, ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1473, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 4], ...
{"split": "train", "index": 12585}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aria, Zoey, Aiden, Benjamin, and Penelope. Aria said that (if Zoey is a devil then Benjamin is an angel) or Aiden is a devil or (Penelope is an angel a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1474, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"lying\", 2], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"t...
{"split": "train", "index": 12586}
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, Henry, Alexander, Lily, and William. Daniel told you that (William is an egoist and Alexander is an egoist) or (Henry is an egoist if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1475, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"telling-truth\", 0], [\"->\", [\"lying\", 1], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telli...
{"split": "train", "index": 12587}
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, Samuel, Scarlett, Ava, and Chloe. Liam remarked, \"(Samuel is a hero or Ava is a hero) or (Ava is a villain and Scarlett is a hero) or (Chloe i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1476, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\"...
{"split": "train", "index": 12588}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Michael, David, Benjamin, Grace, and Henry. \"(Grace is a laggard and David is a laggard and Benjamin is a pioneer) if and only if (Benjamin is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1477, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telli...
{"split": "train", "index": 12589}
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: Emma, William, Abigail, David, and Emily. Emma said that it is not the case that (if David is a knave then Abigail is a knave). \"Emily is a knight,\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1478, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"telling-truth\", 2], [\"or\", [\"->\", [\"telling-truth\", 4],...
{"split": "train", "index": 12590}
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, Jack, Samuel, Jacob, and Emily. Mia commented, \"(if Emily is a devil then Mia is an angel) or (Samuel is a devil) or Samuel is an angel or (Emily...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1479, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 2], [\"not\", [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]...
{"split": "train", "index": 12591}
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, Charlotte, Benjamin, Victoria, and Zoey. As Jack put it, \"(Charlotte is a saint) and Charlotte is a saint and (Benjamin is a saint and Charlot...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1480, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\"...
{"split": "train", "index": 12592}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Amelia, Luke, Ava, and Aurora. Samuel stated, \"Luke is a knave\". Amelia stated, \"Luke is a knight\". Luke asserted: \"Ava is a knave if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1481, \"statements\": [[\"lying\", 2], [\"telling-truth\", 2], [\"<=>\", [\"lying\", 3], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"lying\", 1],...
{"split": "train", "index": 12593}
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, Sofia, Jacob, Amelia, and William. As Olivia put it, \"Amelia is an angel\". Sofia said, \"(if Sofia is an angel then Olivia is an angel) and (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1482, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"te...
{"split": "train", "index": 12594}
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: Harper, Logan, Daniel, Aurora, and Ella. \"(Logan is a laggard or Daniel is a laggard or Aurora is a laggard) or (Ella is a pioneer and Ella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1483, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"tellin...
{"split": "train", "index": 12595}
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, Avery, Lily, Riley, and Samuel. Jackson was heard saying, \"if (Avery is a laggard or Jackson is a pioneer or Avery is a pioneer) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1484, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"...
{"split": "train", "index": 12596}
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, Charlotte, Samuel, Penelope, and Victoria. Joseph stated, \"(if Samuel is an altruist then Charlotte is an egoist) and (Joseph is an al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1485, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], ...
{"split": "train", "index": 12597}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: David, Lucas, Sophia, Avery, and Penelope. David remarked, \"(if Avery is a devil then Avery is an angel) or (if Lucas is a devil then Penelope is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1486, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth...
{"split": "train", "index": 12598}
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, Sophia, Daniel, Victoria, and Liam. Abigail said that (Liam is a devil if and only if Sophia is an angel) or (Liam is a devil) or (if Victoria...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1487, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 3], [...
{"split": "train", "index": 12599}