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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: Sebastian, Lily, Avery, Logan, and Amelia. In Sebastian's words: \"Avery is an egoist\". \"Avery is an altruist\" - Lily. Avery was heard sayin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1488, \"statements\": [[\"lying\", 2], [\"telling-truth\", 2], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 0], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [...
{"split": "train", "index": 12600}
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, Ella, Chloe, Liam, and Grace. As Daniel put it, \"if (Ella is a fool if and only if Liam is a fool) then (Liam is a sage or Grace is a sage or Grac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1489, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 1]]], [\"lying\", 4], [\"lying\", 4], [\"->\", [\"->\", [\...
{"split": "train", "index": 12601}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Owen, Benjamin, Aiden, Aria, and James. In a statement by Owen: \"it is not the case that (Aiden is a pioneer and Benjamin is a laggard)\". Ben...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1490, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-...
{"split": "train", "index": 12602}
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: Luke, Oliver, Ethan, David, and Chloe. Luke said, \"it is not the case that (Oliver is a villain or Luke is a hero or David is a villain).\" Oliver w...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1491, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0...
{"split": "train", "index": 12603}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sophia, Chloe, Emily, Mia, and Zoey. \"Mia is a fool if and only if (Mia is a fool if and only if Sophia is a sage),\" Sophia claimed. Chloe told you that ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1492, \"statements\": [[\"<=>\", [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\",...
{"split": "train", "index": 12604}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Matthew, Amelia, Ava, Ella, and Lily. Matthew noted, \"if Lily is a devil then (Ava is a devil or Amelia is a devil or Lily is an angel)\". In a statem...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1493, \"statements\": [[\"->\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 4]]], [\"and\", [\"lying\", 4], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"and\", [\"lying\", ...
{"split": "train", "index": 12605}
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: Amelia, Ella, Sophia, Penelope, and Grace. Amelia commented, \"it is not the case that (Ella is a pioneer and Penelope is a laggard and Amelia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1494, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"tell...
{"split": "train", "index": 12606}
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: Penelope, Aurora, Avery, Lucas, and Logan. \"if (Logan is an egoist or Penelope is an altruist or Avery is an egoist) then (Aurora is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1495, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"->...
{"split": "train", "index": 12607}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Sophia, Grace, Aiden, and Oliver. \"it is not the case that (Aiden is a knight or Oliver is a knave or Aiden is a knave or Sophia is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1496, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 0], ...
{"split": "train", "index": 12608}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Henry, Mia, Chloe, Elizabeth, and James. In Henry's words: \"Mia is a fool\". Mia noted, \"(Chloe is a fool and Elizabeth is a sage) and (Mia is a sage if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1497, \"statements\": [[\"lying\", 1], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\"...
{"split": "train", "index": 12609}
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, Emma, Liam, Emily, and Mia. Sebastian expressed that if (Mia is a knave or Mia is a knight or Emily is a knight) then (Emily is a knave if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1498, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [...
{"split": "train", "index": 12610}
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, Scarlett, Liam, Alexander, and Michael. David was heard saying, \"(if Scarlett is an angel then David is an angel) and (Liam is a devil and Mich...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1499, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\"...
{"split": "train", "index": 12611}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aiden, Logan, William, Riley, and Samuel. \"(Riley is a fool or Samuel is a fool) or (Logan is a fool) or William is a fool or (if Logan is a sage then Wil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1500, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]], [\"lying\", 2], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"t...
{"split": "train", "index": 12612}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Lucas, Isabella, Evelyn, and Noah. William commented, \"it is not the case that (Isabella is a knave if and only if Lucas is a knave)\". Luc...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1501, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth...
{"split": "train", "index": 12613}
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: Grace, Daniel, Penelope, Ethan, and Jacob. Grace asserted: \"(Ethan is a saint if and only if Ethan is a sinner) or Ethan is a sinner or (Jacob is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1502, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"lying\", 3], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]],...
{"split": "train", "index": 12614}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Charlotte, Alexander, Joseph, David, and Ethan. \"(David is an angel) or (Joseph is a devil and Ethan is a devil and Alexander is an angel) or (Alexand...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1503, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-t...
{"split": "train", "index": 12615}
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, Elizabeth, Benjamin, Michael, and Grace. Emma stated, \"(Grace is a hero or Grace is a villain) and Benjamin is a villain and (Benjamin is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1504, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"lying\", 2], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"...
{"split": "train", "index": 12616}
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: Jacob, Matthew, Aiden, James, and Penelope. Jacob said that (Aiden is a laggard or Matthew is a laggard or James is a laggard or Penelope is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1505, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 2], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-...
{"split": "train", "index": 12617}
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, Olivia, Penelope, Lily, and Sebastian. As Michael put it, \"it is not the case that (Olivia is a fool or Olivia is a sage or Sebastian is a sage)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1506, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"lying\", 3], [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [...
{"split": "train", "index": 12618}
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, Charlotte, Jackson, Scarlett, and Daniel. Michael said that (Charlotte is an altruist and Daniel is an altruist and Jackson is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1507, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"tell...
{"split": "train", "index": 12619}
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: Grace, Aria, Sofia, James, and Daniel. \"Sofia is a hero,\" Grace mentioned. According to Aria, \"it is not the case that (Daniel is a villain if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1508, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\...
{"split": "train", "index": 12620}
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: Emily, Isabella, Charlotte, Aurora, and Aria. In a statement by Emily: \"Aurora is a devil and (if Charlotte is an angel then Isabella is an angel) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1509, \"statements\": [[\"and\", [\"lying\", 3], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"lyin...
{"split": "train", "index": 12621}
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, Alexander, Mia, Jacob, and Zoey. Ethan was heard saying, \"Zoey is a sinner or (Zoey is a saint if and only if Mia is a sinner)\". In a statem...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1510, \"statements\": [[\"or\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 3]]],...
{"split": "train", "index": 12622}
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: Amelia, William, Jacob, Aiden, and Luke. Amelia expressed that it is not the case that (Aiden is a saint or Luke is a sinner or Jacob is a saint). Wi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1511, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 3]]], [\"telling-truth\", 1], [\"->\", [\"<=>\...
{"split": "train", "index": 12623}
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: Jack, Henry, Sofia, Liam, and Ethan. Jack noted, \"(Sofia is an altruist) if and only if (if Sofia is an egoist then Ethan is an altruist)\". H...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1512, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"lying\", 0], [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"tel...
{"split": "train", "index": 12624}
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, Noah, Logan, Harper, and Samuel. Luke expressed that if (Logan is an egoist) then (Harper is an altruist if and only if Logan is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1513, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 4], [\"lyi...
{"split": "train", "index": 12625}
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, Sophia, Amelia, Grace, and Ethan. In a statement by Jackson: \"if Sophia is a laggard then (Ethan is a laggard)\". Sophia remarked, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1514, \"statements\": [[\"->\", [\"lying\", 1], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 0], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\"...
{"split": "train", "index": 12626}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Mason, Logan, Emily, Riley, and James. In Mason's words: \"Emily is a devil and (Emily is an angel and James is a devil) and (Riley is a devil or James...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1515, \"statements\": [[\"and\", [\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 2], [\"<=>\", [\"not\", [\"l...
{"split": "train", "index": 12627}
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: Grace, Mia, Penelope, Emma, and William. According to Grace, \"if (Penelope is a knight and Mia is a knight and Emma is a knight and Grace is a knigh...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1516, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying...
{"split": "train", "index": 12628}
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, Ava, Aiden, James, and Matthew. According to William, \"(if Matthew is a devil then William is an angel) or (Ava is a devil) or (Ava is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1517, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\...
{"split": "train", "index": 12629}
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: Zoey, Benjamin, Sebastian, Penelope, and Henry. \"Benjamin is an egoist\" - Zoey. Benjamin told you that if (Sebastian is an altruist and Penel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1518, \"statements\": [[\"lying\", 1], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3]], [\...
{"split": "train", "index": 12630}
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: Lucas, Jacob, Avery, Zoey, and Oliver. Lucas said that it is not the case that (Avery is an angel if and only if Oliver is an angel). In Jacob's words:...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1519, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 2]], [\"lying\", 4], [\"<=>\", [\"not\", [\"t...
{"split": "train", "index": 12631}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Matthew, Chloe, Elizabeth, Ava, and Daniel. \"(if Ava is an egoist then Elizabeth is an altruist) or (Elizabeth is an altruist if and only if C...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1520, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 3]]], [\...
{"split": "train", "index": 12632}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, James, Riley, Mason, and Noah. \"it is not the case that (Mason is a knave if and only if Sofia is a knight),\" Sofia declared. \"Sofia is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1521, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", ...
{"split": "train", "index": 12633}
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, Noah, Amelia, Benjamin, and Matthew. \"(Benjamin is a knave if and only if Amelia is a knave) or (Amelia is a knight if and only if Owen is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1522, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 4]], [\"->\", [\"<=>\...
{"split": "train", "index": 12634}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Isabella, Joseph, Jack, and Avery. \"Isabella is a knight,\" Abigail declared. Isabella was heard saying, \"(if Avery is a knight then Avery...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1523, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\",...
{"split": "train", "index": 12635}
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, Lucas, Henry, Emma, and Penelope. In Riley's words: \"(Penelope is a sage) and Lucas is a sage and (Penelope is a fool) and Lucas is a fool\". Lucas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1524, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 4]], [\"lying\", 1]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 0]]...
{"split": "train", "index": 12636}
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, David, Mason, Olivia, and Logan. According to James, \"David is an angel\". In a statement by David: \"(Olivia is a devil if and only if David i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1525, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 0]], [\"telling-truth\", 2]], [\"->\",...
{"split": "train", "index": 12637}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jackson, Logan, Michael, Aria, and Aiden. \"it is not the case that (Michael is a saint or Aiden is a sinner or Logan is a sinner or Logan is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1526, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"ly...
{"split": "train", "index": 12638}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sebastian, Michael, Luke, Riley, and Daniel. \"(Luke is a sage or Sebastian is a sage or Michael is a sage) or (if Daniel is a fool then Michael is a fool)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1527, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling...
{"split": "train", "index": 12639}
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, Ethan, Jacob, and Olivia. \"(if Charlotte is a saint then Jacob is a sinner) or (if Ethan is a sinner then Olivia is a saint) or Cha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1528, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\",...
{"split": "train", "index": 12640}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Aiden, Sofia, Alexander, and David. James expressed that (if Sofia is a knight then Alexander is a knight) if and only if David is a knight. I...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1529, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\...
{"split": "train", "index": 12641}
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, Jackson, Henry, Luke, and Mia. David told you that if Jackson is a villain then (Luke is a hero if and only if Mia is a villain). \"David is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1530, \"statements\": [[\"->\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"lying\", 0], [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 0], [\...
{"split": "train", "index": 12642}
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: Logan, James, Aiden, Henry, and Jacob. Logan told you that (Henry is a sinner) if and only if (Jacob is a sinner). James commented, \"(Logan is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1531, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\...
{"split": "train", "index": 12643}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Charlotte, Avery, Michael, William, and Aurora. Charlotte was heard saying, \"if (William is a devil and Avery is an angel and Michael is an angel) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1532, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 0], [\"and\", [...
{"split": "train", "index": 12644}
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, Zoey, Evelyn, Jacob, and Daniel. Noah remarked, \"it is not the case that (Jacob is a saint and Zoey is a saint and Jacob is a sinner)\". Zoey ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1533, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"t...
{"split": "train", "index": 12645}
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: David, Jacob, Alexander, Luke, and Jackson. David told you that if (Jacob is a saint) then (Luke is a saint if and only if Jackson is a sinner). Jaco...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1534, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1...
{"split": "train", "index": 12646}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Henry, Lily, Aiden, Noah, and Scarlett. \"(Scarlett is a fool if and only if Henry is a sage) or (Aiden is a fool if and only if Aiden is a sage) or Henry ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1535, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not...
{"split": "train", "index": 12647}
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, Logan, Chloe, Samuel, and Mason. Alexander asserted: \"Mason is a hero or (Chloe is a hero) or (if Chloe is a hero then Mason is a hero) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1536, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-tru...
{"split": "train", "index": 12648}
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, Noah, Aria, Alexander, and Emma. \"it is not the case that (if Alexander is a hero then Alexander is a villain),\" Benjamin declared. Accor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1537, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 1], [\"and\", [\"lying\", 0], [\"tel...
{"split": "train", "index": 12649}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jack, Penelope, Noah, Matthew, and Luke. In a statement by Jack: \"(Penelope is a fool) and Luke is a sage\". Penelope said that Penelope is a sage if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1538, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 3], [\"and\", [\"and\", [\"lying\", 1], [\"telling-...
{"split": "train", "index": 12650}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mason, Mia, Lily, Emma, and James. \"Mia is a saint,\" Mason claimed. In Mia's words: \"if (Mason is a saint and Mason is a sinner and James is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1539, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0], [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3],...
{"split": "train", "index": 12651}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mia, Benjamin, Scarlett, Riley, and Lily. As Mia put it, \"Mia is an altruist or Benjamin is an egoist or (Lily is an altruist and Mia is an al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1540, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"and\", [...
{"split": "train", "index": 12652}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aria, Sebastian, Joseph, Ella, and Noah. Aria remarked, \"(Noah is an egoist) or (Noah is an egoist and Noah is an altruist and Sebastian is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1541, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not...
{"split": "train", "index": 12653}
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, Ella, Lily, Logan, and Zoey. Noah noted, \"(if Noah is an angel then Logan is a devil) and (Lily is an angel or Logan is a devil or Noah is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1542, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 1], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\",...
{"split": "train", "index": 12654}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Riley, Grace, Alexander, and Samuel. \"(Samuel is a knave or Alexander is a knight or Alexander is a knave or Riley is a knight) and (Alexande...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1543, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]], [\"telling-truth\...
{"split": "train", "index": 12655}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Scarlett, Aria, Isabella, William, and James. Scarlett stated, \"(if James is a sinner then Aria is a saint) if and only if (James is a sinner and Is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1544, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]...
{"split": "train", "index": 12656}
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, Jack, Ella, William, and Henry. \"if (if Henry is a sinner then Ella is a saint) then (Ella is a sinner),\" Zoey mentioned. Jack stated, \"if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1545, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telli...
{"split": "train", "index": 12657}
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: Emily, Sofia, Joseph, William, and Penelope. Emily was heard saying, \"William is a pioneer\". Sofia told you that Penelope is a pioneer. \"if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1546, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 4], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"an...
{"split": "train", "index": 12658}
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, Amelia, Aurora, and Scarlett. \"Zoey is a sage if and only if (Aurora is a sage and Zoey is a sage and Scarlett is a sage)\" - Zoey. Harper r...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1547, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth...
{"split": "train", "index": 12659}
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, Alexander, William, James, and Riley. \"(Riley is an angel) and (William is an angel and William is a devil and James is a devil),\" Mia mentioned...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1548, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"lying\", 3]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 0]]], [\"->\", [\"<=>\"...
{"split": "train", "index": 12660}
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, Isabella, Sophia, Avery, and Jack. In a statement by Michael: \"(Sophia is an altruist) and (if Avery is an egoist then Jack is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1549, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"not...
{"split": "train", "index": 12661}
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: Amelia, Alexander, Chloe, Zoey, and Aria. Amelia commented, \"(Aria is a sinner or Zoey is a saint or Aria is a saint) or (Chloe is a sinner and Amel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1550, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], ...
{"split": "train", "index": 12662}
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: Samuel, Avery, Aurora, Noah, and James. In a statement by Samuel: \"if (if Noah is a laggard then Noah is a pioneer) then (Noah is a laggard an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1551, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 4], ...
{"split": "train", "index": 12663}
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, Mia, Liam, Henry, and Grace. Scarlett remarked, \"it is not the case that (Mia is a pioneer if and only if Liam is a pioneer)\". Mia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1552, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0...
{"split": "train", "index": 12664}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aiden, Logan, Liam, Isabella, and Ethan. Aiden expressed that (Aiden is a sage if and only if Logan is a sage) or (Isabella is a sage and Liam is a sage). ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1553, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4], [\"lying\", 2],...
{"split": "train", "index": 12665}
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, Ella, Zoey, Avery, and David. Grace was heard saying, \"(Zoey is an angel) or (Avery is an angel) or (Zoey is an angel if and only if Zoey is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1554, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\"...
{"split": "train", "index": 12666}
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, Zoey, Ava, Lucas, and Evelyn. Sofia stated, \"if (Zoey is a sage if and only if Lucas is a sage) then (Ava is a sage or Evelyn is a sage)\". \"(Sofi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1555, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 3]], ...
{"split": "train", "index": 12667}
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, Owen, Noah, Jackson, and Oliver. Victoria stated, \"(Owen is a pioneer) or (Victoria is a laggard)\". Owen said that (Jackson is a la...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1556, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 4]]...
{"split": "train", "index": 12668}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Samuel, Logan, David, Aria, and Oliver. \"(Logan is a sage) if and only if Oliver is a sage,\" Samuel claimed. Logan stated, \"if (Oliver is a fool and Dav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1557, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 4]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"or\", [\"and\", [\"telling...
{"split": "train", "index": 12669}
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, Charlotte, Noah, Ella, and Luke. Riley expressed that Noah is a sage. \"it is not the case that (Riley is a sage if and only if Luke is a fool),\" C...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1558, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"lying\", 1], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 3], [\"lying\", 4]], [\"->\",...
{"split": "train", "index": 12670}
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, Chloe, Lucas, Mason, and Sophia. Joseph said that Chloe is a sage. Chloe remarked, \"(Lucas is a sage) or (if Joseph is a sage then Lucas is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1559, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 2], [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 3], [\"...
{"split": "train", "index": 12671}
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, William, Emma, Olivia, and Jackson. Oliver commented, \"(Jackson is a hero or Olivia is a villain or William is a hero) and Jackson is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1560, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"lying\", 2], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-tr...
{"split": "train", "index": 12672}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ava, Ella, Victoria, James, and Benjamin. Ava told you that Benjamin is a fool or (Benjamin is a fool or Victoria is a sage or Ella is a fool) or (Benjamin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1561, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-...
{"split": "train", "index": 12673}
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, Mason, Alexander, Luke, and Grace. Scarlett stated, \"it is not the case that (Mason is a sage if and only if Alexander is a fool)\". In Mason's ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1562, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"and\", ...
{"split": "train", "index": 12674}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Joseph, Elizabeth, Riley, and Jackson. Ella remarked, \"if (Elizabeth is a knight and Elizabeth is a knave) then (Riley is a knave)\". Joseph t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1563, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-trut...
{"split": "train", "index": 12675}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Matthew, Jack, James, Lily, and Henry. Matthew stated, \"Lily is an angel\". In Jack's words: \"(if James is a devil then Henry is a devil) or (James i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1564, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"not\"...
{"split": "train", "index": 12676}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Riley, Grace, Michael, and Olivia. In Alexander's words: \"Grace is a knave\". Riley remarked, \"if (Olivia is a knight) then (Olivia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1565, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 0], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 1], [\"<=>\", [\"ly...
{"split": "train", "index": 12677}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sofia, Lucas, Amelia, Abigail, and Emily. \"if Lucas is a laggard then (Emily is a laggard or Sofia is a pioneer),\" Sofia mentioned. Lucas tol...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1566, \"statements\": [[\"->\", [\"lying\", 1], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"->\", [\"ly...
{"split": "train", "index": 12678}
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, Sophia, James, Lucas, and Henry. \"it is not the case that (James is a laggard),\" Ella claimed. Sophia remarked, \"(James is a laggard a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1567, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", ...
{"split": "train", "index": 12679}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sophia, Ella, Isabella, Charlotte, and Daniel. Sophia commented, \"(Isabella is a laggard and Charlotte is a laggard) if and only if (Daniel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1568, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-trut...
{"split": "train", "index": 12680}
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, Jack, Samuel, Abigail, and Aria. James told you that Aria is a sinner or (Jack is a sinner if and only if Samuel is a saint) or (Jack is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1569, \"statements\": [[\"or\", [\"lying\", 4], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth...
{"split": "train", "index": 12681}
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, Scarlett, Lucas, Abigail, and Mason. \"(Jackson is a knight and Mason is a knight) or (Mason is a knight if and only if Scarlett is a knave)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1570, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying...
{"split": "train", "index": 12682}
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: Joseph, Aria, Evelyn, Owen, and James. \"(Aria is a devil) and (James is an angel if and only if Evelyn is an angel) and (Owen is a devil),\" Joseph me...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1571, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 12683}
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: Owen, Ella, Lily, Liam, and Mason. Owen told you that if (Mason is an egoist and Owen is an altruist) then (Ella is an egoist or Owen is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1572, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"and\", [\"or\", [\"tellin...
{"split": "train", "index": 12684}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Mason, Jackson, Noah, Ella, and Avery. \"if (Ella is a devil if and only if Avery is a devil) then (Avery is an angel and Avery is a devil and Mason is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1573, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"lying\", 4], [\"->\", [\"lying\", 4], [...
{"split": "train", "index": 12685}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Michael, Harper, Emily, Mia, and Isabella. \"Harper is a villain\" - Michael. Harper stated, \"(if Emily is a hero then Mia is a villain) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1574, \"statements\": [[\"lying\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 3], [...
{"split": "train", "index": 12686}
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: Lucas, Sebastian, Luke, Jacob, and Michael. Lucas said, \"it is not the case that (if Sebastian is a villain then Michael is a hero).\" Sebastian sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1575, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 3], [\"lying\", 1], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 2...
{"split": "train", "index": 12687}
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: Harper, Riley, Abigail, Noah, and Ethan. According to Harper, \"if (Riley is a knight if and only if Noah is a knave) then Abigail is a knight\". As ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1576, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 2]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling...
{"split": "train", "index": 12688}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Scarlett, Mason, Emma, Jacob, and Ethan. In a statement by Scarlett: \"Ethan is a hero\". In Mason's words: \"Scarlett is a villain and (Scarlett is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1577, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"lying\", 0], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 1], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"tel...
{"split": "train", "index": 12689}
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, Jacob, Grace, Victoria, and Owen. Joseph expressed that (Joseph is a sage if and only if Grace is a sage) and (Joseph is a sage and Owen is a fool ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1578, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"tellin...
{"split": "train", "index": 12690}
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, Alexander, James, Victoria, and Ella. Luke said that (Ella is a pioneer and Alexander is a pioneer) and (Victoria is a pioneer if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1579, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-tr...
{"split": "train", "index": 12691}
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, Zoey, William, Chloe, and Lily. In a statement by Amelia: \"(Lily is a hero if and only if Zoey is a villain) or Lily is a villain\". Accordi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1580, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"tel...
{"split": "train", "index": 12692}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aria, Mason, Liam, Owen, and Charlotte. Aria remarked, \"Charlotte is an egoist\". Mason commented, \"(Mason is an altruist or Charlotte is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1581, \"statements\": [[\"lying\", 4], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling...
{"split": "train", "index": 12693}
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, Olivia, Ethan, Liam, and James. Owen told you that Liam is a sinner and (if Olivia is a saint then Ethan is a saint) and (if Ethan is a sinner ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1582, \"statements\": [[\"and\", [\"lying\", 3], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]],...
{"split": "train", "index": 12694}
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: Samuel, Riley, Amelia, Aria, and Charlotte. Samuel remarked, \"if (Riley is an altruist if and only if Aria is an altruist) then (Riley is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1583, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"...
{"split": "train", "index": 12695}
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: Avery, Lucas, Ethan, Jacob, and Ava. Avery was heard saying, \"(Jacob is a pioneer or Lucas is a laggard or Avery is a pioneer) or Ethan is a l...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1584, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 0]], [\"lying\", 2], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", ...
{"split": "train", "index": 12696}
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: Jacob, Noah, Elizabeth, Isabella, and Victoria. Jacob stated, \"(if Elizabeth is a laggard then Noah is a pioneer) or (Noah is a laggard or Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1585, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", ...
{"split": "train", "index": 12697}
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: Riley, Jackson, Lucas, Alexander, and Mason. Riley commented, \"(Lucas is a knave and Mason is a knight and Jackson is a knight and Alexander is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1586, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 1...
{"split": "train", "index": 12698}
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, Henry, Jackson, Aria, and David. \"if (David is a sage if and only if Jackson is a sage) then (Henry is a fool if and only if David is a sage),\" Zoe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1587, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 1], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\...
{"split": "train", "index": 12699}