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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: Henry, Elizabeth, Harper, David, and Alexander. Henry noted, \"(if Alexander is a knave then Alexander is a knight) if and only if (if Alexander is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2088, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"o...
{"split": "train", "index": 13200}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aiden, Ava, James, Aria, and Michael. According to Aiden, \"Aria is an egoist\". Ava asserted: \"(Aria is an egoist if and only if Aria is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2089, \"statements\": [[\"lying\", 3], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"...
{"split": "train", "index": 13201}
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, Chloe, Penelope, Luke, and Owen. Matthew stated, \"(Luke is an angel if and only if Penelope is an angel) or (Chloe is an angel) or (Penelope ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2090, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"->\", [\"...
{"split": "train", "index": 13202}
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, Charlotte, Henry, William, and Benjamin. \"Benjamin is a sage if and only if (if Charlotte is a fool then Henry is a sage),\" Sophia declared. \"Be...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2091, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 4]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"tel...
{"split": "train", "index": 13203}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Liam, Emily, Oliver, Charlotte, and Sebastian. In Liam's words: \"Oliver is a fool and (if Charlotte is a fool then Emily is a fool)\". \"(Liam is a sage a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2092, \"statements\": [[\"and\", [\"lying\", 2], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"telli...
{"split": "train", "index": 13204}
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, Ava, Oliver, Daniel, and Lily. Ethan remarked, \"it is not the case that (Lily is a saint)\". As Ava put it, \"(Lily is a saint) and Oliver is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2093, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 4]]], [\"or\", [...
{"split": "train", "index": 13205}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jackson, Avery, Mia, Ava, and Sofia. \"(Avery is an egoist and Sofia is an egoist) or (Jackson is an altruist and Avery is an egoist and Ava is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2094, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"->\", [\"->\", [\"lyi...
{"split": "train", "index": 13206}
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, Amelia, Charlotte, Avery, and Penelope. \"Amelia is a devil,\" Olivia declared. In Amelia's words: \"if (Penelope is an angel) then (Olivia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2095, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 2]]], [\"telling-truth\", 0], [\"or\", [\"and\", [\"lyi...
{"split": "train", "index": 13207}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Henry, Grace, David, Scarlett, and Benjamin. \"(Henry is a pioneer if and only if Grace is a pioneer) if and only if Henry is a pioneer\" - Hen...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2096, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"<=>...
{"split": "train", "index": 13208}
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, Chloe, Lily, Jack, and Ella. Emma remarked, \"if (Lily is a villain or Chloe is a hero) then (if Lily is a hero then Lily is a villain)\". \"Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2097, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"and\", [\"telli...
{"split": "train", "index": 13209}
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: Sophia, Henry, Victoria, Aiden, and Jack. Sophia said that if (if Jack is an altruist then Sophia is an altruist) then (Aiden is an egoist). He...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2098, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 2], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"tellin...
{"split": "train", "index": 13210}
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, Ella, Alexander, Logan, and Zoey. Penelope said, \"Logan is a saint.\" Ella asserted: \"(Logan is a saint) or Alexander is a sinner or (Log...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2099, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"lying\", 1], [\"->\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\",...
{"split": "train", "index": 13211}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aiden, Scarlett, Matthew, Daniel, and Aria. \"Aria is a devil if and only if (if Daniel is a devil then Matthew is a devil),\" Aiden declared. Scarlett...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2100, \"statements\": [[\"<=>\", [\"lying\", 4], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"t...
{"split": "train", "index": 13212}
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, Sophia, Ava, Liam, and Amelia. In Logan's words: \"(Ava is a saint or Amelia is a sinner or Sophia is a sinner or Sophia is a saint) and (Amel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2101, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->...
{"split": "train", "index": 13213}
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: Noah, David, Victoria, Mia, and Ava. According to Noah, \"(Ava is an altruist) and Mia is an egoist and (Ava is an egoist and Mia is an egoist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2102, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"lying\", 3], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-trut...
{"split": "train", "index": 13214}
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: Lucas, Noah, Sophia, Avery, and Logan. Lucas said, \"(if Noah is a pioneer then Lucas is a pioneer) or (Avery is a pioneer) or (Sophia is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2103, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], ...
{"split": "train", "index": 13215}
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, Henry, James, Penelope, and Michael. According to Matthew, \"(James is a pioneer or Michael is a pioneer or Henry is a pioneer or Henr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2104, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]...
{"split": "train", "index": 13216}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Joseph, David, Jack, and Mason. \"Mason is a sage,\" William claimed. \"(William is a fool) or Mason is a sage or (Jack is a sage) or (David is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2105, \"statements\": [[\"not\", [\"lying\", 4]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 4], [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\...
{"split": "train", "index": 13217}
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, Scarlett, Abigail, Benjamin, and Liam. Michael stated, \"(if Abigail is a sage then Liam is a sage) if and only if (Abigail is a sage if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2106, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"telling-truth\", 2]]...
{"split": "train", "index": 13218}
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, Evelyn, Joseph, James, and Emily. As Lily put it, \"Evelyn is a sage\". In Evelyn's words: \"(Joseph is a fool or Emily is a fool) or (James is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2107, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]...
{"split": "train", "index": 13219}
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, Ella, Sophia, Mason, and Henry. \"if (Henry is a villain if and only if Henry is a hero) then (Sophia is a hero if and only if Ella is a hero)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2108, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"->\", [\"o...
{"split": "train", "index": 13220}
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, Avery, Michael, Sophia, and Zoey. Isabella asserted: \"Avery is a pioneer and (if Avery is a pioneer then Isabella is a pioneer) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2109, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\...
{"split": "train", "index": 13221}
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, Elizabeth, Emma, Lily, and Liam. Penelope expressed that Elizabeth is a laggard or (Liam is a laggard if and only if Lily is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2110, \"statements\": [[\"or\", [\"lying\", 1], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], ...
{"split": "train", "index": 13222}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Elizabeth, Chloe, Emma, and Oliver. As Mason put it, \"Emma is a knight\". Elizabeth was heard saying, \"Emma is a knight\". \"Mason is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2111, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 4]], [\"telling-truth\", 2...
{"split": "train", "index": 13223}
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, Ella, Amelia, Sofia, and Lily. Matthew commented, \"it is not the case that (Matthew is an angel and Lily is a devil and Ella is a devil)\". E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2112, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"lying\", 1], [\"telling-truth\", 1], ...
{"split": "train", "index": 13224}
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, Mia, Logan, Matthew, and Riley. Sofia said, \"Mia is a laggard.\" Mia was heard saying, \"Logan is a laggard\". Logan commented, \"(Matt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2113, \"statements\": [[\"lying\", 1], [\"lying\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"l...
{"split": "train", "index": 13225}
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: Aria, Owen, Lucas, Emily, and Isabella. Aria asserted: \"(Lucas is a pioneer and Isabella is a pioneer and Emily is a pioneer) or (Lucas is a p...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2114, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"lying\", 4], [\"->\", [\"<=>\", [\"lying\", 3], ...
{"split": "train", "index": 13226}
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, Isabella, Samuel, Charlotte, and Penelope. Jack expressed that (Charlotte is a sinner or Samuel is a sinner or Jack is a saint or Penelope is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2115, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"->\", [\"lying\...
{"split": "train", "index": 13227}
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, Benjamin, Jack, Abigail, and Charlotte. Zoey told you that if (Abigail is a saint) then (if Zoey is a saint then Benjamin is a sinner). Benjami...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2116, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"lying\", 3], [\"or\", [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"telling-tru...
{"split": "train", "index": 13228}
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, Abigail, Penelope, Evelyn, and Jack. \"(Jack is a fool or Penelope is a sage or Penelope is a fool) if and only if (Abigail is a fool and Jack i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2117, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth...
{"split": "train", "index": 13229}
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: Benjamin, Lily, Ella, Isabella, and Ethan. Benjamin stated, \"(Lily is an altruist if and only if Ella is an altruist) and (Isabella is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2118, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth...
{"split": "train", "index": 13230}
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: Alexander, Isabella, Jack, Emma, and Olivia. \"if Isabella is an egoist then (Isabella is an egoist or Isabella is an altruist),\" Alexander de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2119, \"statements\": [[\"->\", [\"lying\", 1], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 0], [\"telling-truth\", 2]]], [\"or\"...
{"split": "train", "index": 13231}
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, Mia, Aurora, Riley, and Jackson. Ella told you that Aurora is a saint. As Mia put it, \"Aurora is a sinner or (Jackson is a saint or Riley is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2120, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 0]], [\"lying\", 3]], [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\",...
{"split": "train", "index": 13232}
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, Alexander, Noah, Ava, and Emily. Mia asserted: \"if Noah is a knave then (if Mia is a knight then Ava is a knight)\". \"(Emily is a knight or No...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2121, \"statements\": [[\"->\", [\"lying\", 2], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"...
{"split": "train", "index": 13233}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Ava, Riley, Sophia, and Harper. According to Zoey, \"(Riley is a pioneer or Harper is a laggard or Riley is a laggard) or (Ava is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2122, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-...
{"split": "train", "index": 13234}
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, Jack, Samuel, Emily, and Elizabeth. \"it is not the case that (Elizabeth is a saint and Jack is a saint and Amelia is a saint),\" Amelia ment...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2123, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 3], [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\...
{"split": "train", "index": 13235}
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, Lily, William, Ava, and Chloe. In Avery's words: \"if (Ava is a pioneer and Chloe is a pioneer and William is a pioneer) then (Chloe is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2124, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\...
{"split": "train", "index": 13236}
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: Ella, Chloe, Matthew, Victoria, and Amelia. Ella said that it is not the case that (Matthew is a hero). \"Victoria is a hero,\" Chloe declared. Matth...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2125, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"lying\", 3]], [\"lying\", 1], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 3], [\...
{"split": "train", "index": 13237}
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: Luke, Victoria, Ella, Matthew, and Elizabeth. \"(Matthew is a knave and Elizabeth is a knight and Victoria is a knight) if and only if (if Ella is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2126, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"not\"...
{"split": "train", "index": 13238}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Benjamin, Sebastian, Sophia, and Isabella. Oliver was heard saying, \"(Sophia is a knight if and only if Sebastian is a knight) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2127, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 3],...
{"split": "train", "index": 13239}
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, Luke, Zoey, Joseph, and Grace. \"if (Joseph is a devil) then (Zoey is a devil if and only if Olivia is an angel),\" Olivia mentioned. Luke rema...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2128, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 1]]]...
{"split": "train", "index": 13240}
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: Ethan, Penelope, Emma, David, and Elizabeth. \"(David is a knave) or (David is a knave and Elizabeth is a knave and Emma is a knight) or (Penelope is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2129, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 3]]], [\"telling-truth\", 4], [...
{"split": "train", "index": 13241}
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: Chloe, Sofia, Aiden, Ava, and Harper. \"if Harper is an angel then (Aiden is a devil if and only if Ava is an angel)\" - Chloe. Sofia expressed that if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2130, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [...
{"split": "train", "index": 13242}
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, Jack, Lucas, William, and Aiden. Emily stated, \"(Jack is a knight if and only if Lucas is a knave) or (if William is a knave then Lucas is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2131, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 2],...
{"split": "train", "index": 13243}
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: Sophia, Riley, Avery, Aurora, and Victoria. According to Sophia, \"(if Victoria is an egoist then Avery is an egoist) and (Aurora is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2132, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"<=>\", [\"->\", [\"lying\...
{"split": "train", "index": 13244}
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: Olivia, Daniel, Luke, Matthew, and Sofia. As Olivia put it, \"(Olivia is a hero or Matthew is a hero or Luke is a villain) if and only if (Daniel is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2133, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"not\", [\"lying\", 0]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", ...
{"split": "train", "index": 13245}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: William, Joseph, Aria, Mia, and Sophia. \"if (Joseph is a saint) then (William is a saint if and only if Aria is a sinner),\" William mentioned. In J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2134, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-t...
{"split": "train", "index": 13246}
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: Charlotte, Lucas, Olivia, David, and Penelope. Charlotte stated, \"(Olivia is a knight if and only if Lucas is a knave) and Penelope is a knight and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2135, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"telling-truth\", 4], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\...
{"split": "train", "index": 13247}
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, Scarlett, Evelyn, Ava, and Isabella. Luke expressed that if (Isabella is a pioneer) then Ava is a pioneer. Scarlett told you that if Evel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2136, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lyi...
{"split": "train", "index": 13248}
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: Aria, Charlotte, Grace, Ava, and Alexander. Aria commented, \"Alexander is a villain if and only if Alexander is a hero\". Charlotte commented, \"(Ar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2137, \"statements\": [[\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 1]], [\"or\",...
{"split": "train", "index": 13249}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Avery, Sebastian, Mia, and Isabella. As Logan put it, \"(Avery is a knave) if and only if (if Logan is a knight then Mia is a knight)\". \"(Se...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2138, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"l...
{"split": "train", "index": 13250}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Henry, Harper, Abigail, Ethan, and Lucas. In a statement by Henry: \"it is not the case that (if Lucas is a villain then Harper is a hero)\". Harper ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2139, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"->\", [\...
{"split": "train", "index": 13251}
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, Michael, Sebastian, Emma, and Olivia. James asserted: \"it is not the case that (Olivia is a hero)\". In a statement by Michael: \"(if Olivia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2140, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\"...
{"split": "train", "index": 13252}
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, Chloe, Zoey, Joseph, and Ethan. \"it is not the case that (if Chloe is an egoist then Joseph is an altruist),\" Abigail claimed. Chloe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2141, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"->\", [\"lying\", 3], [\"and\", [\"...
{"split": "train", "index": 13253}
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, Oliver, Noah, Chloe, and Lily. Mason said that if Noah is an egoist then (Mason is an egoist). As Oliver put it, \"Noah is an altruist\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2142, \"statements\": [[\"->\", [\"lying\", 2], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"lying\", 2]], [\"or\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"lying\", 1], [\"not\", [...
{"split": "train", "index": 13254}
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: Avery, Luke, Elizabeth, Penelope, and Scarlett. Avery remarked, \"Luke is an angel\". \"(Scarlett is a devil if and only if Elizabeth is a devil) or (E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2143, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"<=>\", [\"<=>\...
{"split": "train", "index": 13255}
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, Grace, Ella, Elizabeth, and Olivia. Scarlett said that Ella is a sinner. Grace expressed that if (Olivia is a saint and Scarlett is a sinne...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2144, \"statements\": [[\"lying\", 2], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telli...
{"split": "train", "index": 13256}
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: Emily, Lucas, Charlotte, Zoey, and Sebastian. Emily told you that Sebastian is an altruist. \"if (Emily is an altruist) then (Sebastian is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2145, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2...
{"split": "train", "index": 13257}
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, Benjamin, Olivia, Avery, and Samuel. In a statement by Chloe: \"Samuel is a pioneer\". Benjamin said, \"it is not the case that (Olivia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2146, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telli...
{"split": "train", "index": 13258}
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, Liam, Samuel, Noah, and Olivia. Penelope expressed that (Samuel is a knave or Noah is a knave or Liam is a knight) or Olivia is a knave or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2147, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 4], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\...
{"split": "train", "index": 13259}
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: Jackson, Jack, Henry, Grace, and Aiden. In Jackson's words: \"Henry is a hero\". Jack expressed that if Jackson is a hero then (Henry is a hero if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2148, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\...
{"split": "train", "index": 13260}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Benjamin, Lucas, Mia, and Amelia. As Oliver put it, \"Mia is a knight\". Benjamin remarked, \"Amelia is a knave\". \"(Amelia is a knight or B...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2149, \"statements\": [[\"telling-truth\", 3], [\"lying\", 4], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 3...
{"split": "train", "index": 13261}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aiden, Elizabeth, Lucas, Liam, and Oliver. Aiden remarked, \"it is not the case that (Liam is a pioneer and Lucas is a pioneer and Oliver is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2150, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 4]]], [\"lying\", 2], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\"...
{"split": "train", "index": 13262}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Amelia, James, Matthew, Sebastian, and William. \"James is an altruist,\" Amelia declared. In James's words: \"if (Amelia is an egoist and Matt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2151, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 3], [\"telling-truth\",...
{"split": "train", "index": 13263}
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, Joseph, Riley, Penelope, and Lucas. In a statement by Mason: \"Riley is a sinner\". \"(if Mason is a saint then Lucas is a sinner) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2152, \"statements\": [[\"lying\", 2], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 4], [...
{"split": "train", "index": 13264}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Chloe, Harper, Jackson, and Emma. As Zoey put it, \"if (Emma is a laggard and Jackson is a laggard and Chloe is a pioneer) then (Zoey is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2153, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 2]...
{"split": "train", "index": 13265}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Oliver, Emily, Scarlett, Mia, and Daniel. In Oliver's words: \"Mia is a laggard\". \"(Daniel is a laggard or Oliver is a laggard or Scarlett is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2154, \"statements\": [[\"lying\", 3], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 0], [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lyin...
{"split": "train", "index": 13266}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Elizabeth, Avery, Joseph, Jacob, and Logan. Elizabeth asserted: \"Jacob is a pioneer\". Avery remarked, \"Logan is a pioneer\". Joseph noted, \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2155, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 4], [\"->\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\",...
{"split": "train", "index": 13267}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mia, Lucas, Luke, Jacob, and Benjamin. \"Lucas is a laggard,\" Mia mentioned. Lucas noted, \"Luke is a laggard\". \"Jacob is a laggard or Lucas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2156, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 1], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"->\"...
{"split": "train", "index": 13268}
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: James, Harper, Ava, Aurora, and Henry. James told you that (if Ava is a fool then Aurora is a sage) or (James is a sage and Henry is a fool) or (if Harper ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2157, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 4]...
{"split": "train", "index": 13269}
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, David, Jackson, Isabella, and Abigail. \"it is not the case that (Jackson is an altruist),\" Samuel claimed. David stated, \"(if Isabel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2158, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 4], [\"telling-tr...
{"split": "train", "index": 13270}
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, Matthew, Samuel, Evelyn, and Penelope. Emily told you that (Emily is an angel or Samuel is an angel or Penelope is an angel or Matthew is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2159, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 3], [\"lying\", 1]], [\"telling-truth\", 2...
{"split": "train", "index": 13271}
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, Penelope, Michael, Lily, and Liam. Alexander stated, \"(if Lily is a hero then Penelope is a villain) if and only if (Lily is a villain or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2160, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 0], [\"and\", [\"not\", [\"lying\", 4]], [\"->\"...
{"split": "train", "index": 13272}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jackson, Ethan, Lucas, Lily, and Oliver. Jackson said, \"(Lily is an egoist or Ethan is an altruist or Jackson is an altruist) or (Lucas is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2161, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 0]], [\"and...
{"split": "train", "index": 13273}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Liam, Sebastian, Alexander, and Mason. \"it is not the case that (if Mason is a fool then Alexander is a fool),\" William mentioned. Liam was hear...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2162, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\"...
{"split": "train", "index": 13274}
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, Olivia, Ava, Aria, and Aurora. In a statement by Amelia: \"Olivia is a hero\". Olivia was heard saying, \"(if Amelia is a hero then Aurora is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2163, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-tr...
{"split": "train", "index": 13275}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Lily, Sophia, James, and Jack. In a statement by William: \"(Jack is a sage or William is a sage) and (James is a fool)\". Lily was heard saying, ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2164, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-tru...
{"split": "train", "index": 13276}
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: Luke, Mia, David, Olivia, and William. In a statement by Luke: \"David is an angel or (Olivia is an angel)\". Mia told you that (if Olivia is an angel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2165, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"not\", [\"lying\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]...
{"split": "train", "index": 13277}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Aiden, James, Mia, and Sophia. \"if (Aiden is a knight if and only if Mason is a knight) then Sophia is a knight,\" Mason mentioned. Aiden sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2166, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"or\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 0]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\...
{"split": "train", "index": 13278}
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: Avery, Aria, Penelope, Ethan, and Abigail. Avery stated, \"Penelope is an altruist\". Aria stated, \"(Aria is an egoist) or (Abigail is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2167, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 2]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]],...
{"split": "train", "index": 13279}
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, Sebastian, Jackson, Benjamin, and Chloe. Noah commented, \"(Chloe is a sinner or Jackson is a sinner) or Chloe is a saint or (if Noah is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2168, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"telling-truth\", 0], [\"->\", [\"and\", [\"telling-truth\", 1], [\...
{"split": "train", "index": 13280}
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, Logan, Scarlett, Aiden, and Noah. Emily remarked, \"if (Noah is a knight) then (Logan is a knight)\". Logan noted, \"(Noah is a knight if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2169, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 0], [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"-...
{"split": "train", "index": 13281}
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, Elizabeth, Ethan, and Avery. Emma noted, \"(if Avery is a knave then Avery is a knight) or William is a knight or (Elizabeth is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2170, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 1], [\"not\", [\"lying\", 2]]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [...
{"split": "train", "index": 13282}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mason, Joseph, Samuel, Amelia, and Henry. Mason remarked, \"(Samuel is a hero if and only if Henry is a villain) if and only if (Mason is a hero and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2171, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 0], [\"->\", [\"telling-truth\...
{"split": "train", "index": 13283}
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: Elizabeth, Avery, Sebastian, Zoey, and Riley. Elizabeth asserted: \"(Zoey is an egoist or Riley is an altruist or Riley is an egoist) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2172, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"telling-truth\", 0], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lyi...
{"split": "train", "index": 13284}
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, Oliver, Sofia, Olivia, and Abigail. Scarlett stated, \"Abigail is a hero and (Oliver is a villain and Olivia is a villain)\". \"(if Sofia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2173, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"te...
{"split": "train", "index": 13285}
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, Alexander, Mia, Ava, and Chloe. As Penelope put it, \"Ava is a saint\". \"if (Mia is a saint or Ava is a sinner) then (if Mia is a saint th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2174, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\...
{"split": "train", "index": 13286}
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: Henry, Isabella, Jackson, Riley, and Mason. Henry noted, \"(if Jackson is a knave then Riley is a knight) if and only if (Jackson is a knight or Maso...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2175, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying...
{"split": "train", "index": 13287}
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: Jacob, Grace, Luke, Henry, and Noah. According to Jacob, \"it is not the case that (Henry is a villain or Noah is a hero or Henry is a hero or Noah i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2176, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"tellin...
{"split": "train", "index": 13288}
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, Lucas, Riley, James, and William. Harper told you that Lucas is a knight. Lucas remarked, \"(if Riley is a knight then Riley is a knave) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2177, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\...
{"split": "train", "index": 13289}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Matthew, Scarlett, Michael, and Charlotte. \"if (Charlotte is a knight and Michael is a knight) then (Scarlett is a knave),\" Liam mentioned. M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2178, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"...
{"split": "train", "index": 13290}
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, Ella, William, Ethan, and Sofia. In a statement by Harper: \"if Ella is a knave then (Sofia is a knave if and only if William is a knight)\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2179, \"statements\": [[\"->\", [\"lying\", 1], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 2...
{"split": "train", "index": 13291}
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, Avery, Zoey, Henry, and James. \"(Grace is a hero and Avery is a hero and Henry is a hero and James is a villain) if and only if (Zoey is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2180, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 0], [\"telli...
{"split": "train", "index": 13292}
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, Grace, Elizabeth, Avery, and Lily. Owen asserted: \"it is not the case that (Avery is a knave)\". Grace remarked, \"it is not the case that (Li...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2181, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"lying\", 4]], [\"and\", [...
{"split": "train", "index": 13293}
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: Daniel, Ella, Mason, Alexander, and Liam. Daniel commented, \"Alexander is a devil if and only if (Ella is a devil if and only if Ella is an angel)\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2182, \"statements\": [[\"<=>\", [\"lying\", 3], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 0]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"...
{"split": "train", "index": 13294}
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: Ethan, Mason, Noah, Jacob, and Logan. Ethan remarked, \"(Noah is a laggard if and only if Mason is a pioneer) and (Noah is a pioneer or Jacob i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2183, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 3]], [\"lying\", 4], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]...
{"split": "train", "index": 13295}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Scarlett, Avery, Noah, Emma, and Luke. Scarlett expressed that (Luke is an egoist) and Avery is an altruist and (Luke is an altruist if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2184, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth...
{"split": "train", "index": 13296}
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, Aria, Ella, Emily, and Avery. In a statement by Mason: \"(if Emily is an egoist then Aria is an altruist) or (Ella is an altruist or Ell...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2185, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [...
{"split": "train", "index": 13297}
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: Jackson, Samuel, Lucas, Avery, and Mia. As Jackson put it, \"(Avery is a devil) if and only if Avery is an angel\". In Samuel's words: \"Mia is a devil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2186, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"lying\", 4], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"l...
{"split": "train", "index": 13298}
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: Ella, Liam, Chloe, Oliver, and Grace. \"(Chloe is a hero) if and only if Liam is a villain,\" Ella claimed. Liam told you that if (if Grace is a vill...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2187, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"lying\", 1]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 0], [\"...
{"split": "train", "index": 13299}