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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 9 inhabitants: Mason, Jackson, Logan, Elizabeth, James, Aria, Riley, Aiden, and Grace. According to Mason, \"(Grace is an altruist and Elizabeth is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 388, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"->\", [\"->\",...
{"split": "train", "index": 11500}
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 9 inhabitants: Ethan, Abigail, Luke, Evelyn, Olivia, Jacob, Scarlett, Joseph, and Sophia. Ethan said that if (if Sophia is a knave then Jacob is a knave) then Josep...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 389, \"statements\": [[\"->\", [\"->\", [\"lying\", 8], [\"lying\", 5]], [\"telling-truth\", 7]], [\"telling-truth\", 7], [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 5]], [\"n...
{"split": "train", "index": 11501}
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 9 inhabitants: Aiden, David, Noah, Sophia, Avery, Sebastian, Aurora, Scarlett, and Chloe. According to Aiden, \"(Avery is a devil and Aurora is a devil) and (Sophia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 390, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"lying\", 6]], [\"or\", [\"lying\", 3], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 0]], [\"or\...
{"split": "train", "index": 11502}
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 9 inhabitants: Liam, James, Henry, Michael, Sebastian, Aria, Sofia, Daniel, and Ethan. In Liam's words: \"Aria is a knight\". James expressed that (Daniel is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 391, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"or\", [\"lying\", 7], [\"lying\", 0]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"tellin...
{"split": "train", "index": 11503}
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 9 inhabitants: Lucas, Lily, Aurora, Ava, Olivia, Oliver, Matthew, Mason, and Amelia. \"(Amelia is a laggard and Olivia is a laggard) or (Mason is a laggard if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 392, \"statements\": [[\"or\", [\"and\", [\"lying\", 8], [\"lying\", 4]], [\"<=>\", [\"lying\", 7], [\"lying\", 8]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"lying\", 4], [\"lying\", 5]], [\"or\", [\"telling...
{"split": "train", "index": 11504}
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 9 inhabitants: Evelyn, Isabella, Noah, Emma, Avery, Benjamin, James, Matthew, and Sophia. Evelyn expressed that Noah is a fool. Isabella said, \"it is not the case that (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 393, \"statements\": [[\"lying\", 2], [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"lying\", 0], [\"telling-truth\", 5]]], [\"telling-truth\", 3], [\"telling-truth\", 6]...
{"split": "train", "index": 11505}
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 9 inhabitants: Riley, Charlotte, Samuel, Abigail, Elizabeth, Jack, Scarlett, Chloe, and Aurora. Riley stated, \"(Jack is a saint if and only if Samuel is a sinner) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 394, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 7], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]],...
{"split": "train", "index": 11506}
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 9 inhabitants: Jacob, Matthew, Evelyn, Amelia, Aurora, Lily, Emma, Scarlett, and Riley. Jacob commented, \"(Amelia is an egoist or Matthew is an altruist) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 395, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 5], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1], [\"lying\", 6], [\"lying\", 3]], [\"telling-truth\", 7]], [\"lying\", 0...
{"split": "train", "index": 11507}
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 9 inhabitants: Zoey, Samuel, Aria, Harper, Olivia, Matthew, Lily, Oliver, and Aurora. \"(Olivia is a hero) and (if Harper is a hero then Matthew is a hero)\" - Zoey...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 396, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 5]], [\"->\", [\"lying\", 5], [\"lying\", 8]], [\"or\"...
{"split": "train", "index": 11508}
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 9 inhabitants: James, Ethan, Aria, Grace, Benjamin, Riley, Chloe, Aiden, and Alexander. \"Riley is an angel,\" James claimed. Ethan stated, \"if (Grace is a devil and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 397, \"statements\": [[\"telling-truth\", 5], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"telling-truth\", 4]], ...
{"split": "train", "index": 11509}
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 9 inhabitants: Daniel, Aurora, Abigail, David, Oliver, Aiden, Jacob, Lily, and Sebastian. According to Daniel, \"(if Oliver is a sinner then Sebastian is a sinner) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 398, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"lying\", 8]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3], [\"lying\", 7], [\"telling-truth\", 1]], [\"not\", [\"lying\", 8]]], [\"telling-truth\", 7], [\...
{"split": "train", "index": 11510}
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 9 inhabitants: Ava, Aurora, Victoria, Grace, Noah, Charlotte, Zoey, Isabella, and Lily. Ava remarked, \"it is not the case that (Isabella is an egoist)\". \"(...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 399, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 3]], ...
{"split": "train", "index": 11511}
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 9 inhabitants: Lucas, Chloe, Harper, Ella, James, Elizabeth, Alexander, Charlotte, and Lily. Lucas commented, \"(James is a knight if and only if Alexander is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 400, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 4]...
{"split": "train", "index": 11512}
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 9 inhabitants: Scarlett, Lucas, Penelope, Zoey, Daniel, Evelyn, Amelia, Charlotte, and Alexander. \"if (Lucas is a sage if and only if Charlotte is a sage) then (Lucas is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 401, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 6]]], [\"telling-truth\", 5], [\"->\", [\"n...
{"split": "train", "index": 11513}
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 9 inhabitants: Emily, Liam, Aurora, Alexander, Jacob, Sophia, Evelyn, Abigail, and Owen. As Emily put it, \"(Abigail is an egoist) if and only if (Emily is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 402, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\",...
{"split": "train", "index": 11514}
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 9 inhabitants: Olivia, Victoria, Benjamin, Luke, Alexander, Lucas, Lily, Samuel, and Jackson. According to Olivia, \"(Lily is an egoist and Samuel is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 403, \"statements\": [[\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"and\", [\"lying\", 8], [\"lying\", 5], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 6]],...
{"split": "train", "index": 11515}
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 9 inhabitants: Owen, Evelyn, Joseph, Olivia, Ava, Ella, Noah, Lucas, and Riley. \"if (Riley is an altruist and Noah is an altruist and Joseph is an egoist and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 404, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6], [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 2]...
{"split": "train", "index": 11516}
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 9 inhabitants: Liam, Harper, Aurora, Evelyn, Alexander, Amelia, Lily, Ava, and Noah. Liam was heard saying, \"(Amelia is a sinner and Lily is a sinner and Aurora is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 405, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 5], [\"lying\", 6], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"or\", [\"tel...
{"split": "train", "index": 11517}
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 9 inhabitants: Matthew, Jacob, Emma, Penelope, Olivia, Mason, Aurora, Ava, and Victoria. Matthew expressed that (Penelope is a sage if and only if Jacob is a sage) or (Vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 406, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"and\", [\"lying\", 0], [\"telling-truth\", 6...
{"split": "train", "index": 11518}
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 9 inhabitants: William, Liam, Avery, Oliver, Henry, Samuel, Ava, Victoria, and Sebastian. William stated, \"(if Victoria is a knight then Samuel is a knight) and (A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 407, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"or\", [\"lying\", 2], [\"lying\", 6], [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"lying\", 6], [\"or\", [\"lying\", 4], [\"te...
{"split": "train", "index": 11519}
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 9 inhabitants: Amelia, Sophia, Ethan, Jackson, Isabella, Luke, Sofia, Zoey, and Emily. Amelia remarked, \"it is not the case that (Jackson is a laggard and Et...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 408, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 4]]], [\"an...
{"split": "train", "index": 11520}
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 9 inhabitants: Matthew, Noah, Joseph, David, Aurora, Zoey, Harper, William, and Sebastian. Matthew said, \"(David is a knight) if and only if Aurora is a knave.\" N...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 409, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"lying\", 4]], [\"->\", [\"not\", [\"lying\", 5]], [\"or\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"not\", [\"lying\", 5]], [\"->\", [\"or\", [\"lying\", 0], [\...
{"split": "train", "index": 11521}
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 9 inhabitants: Ava, Harper, Mia, Scarlett, Zoey, Grace, Elizabeth, Jacob, and Samuel. Ava was heard saying, \"if Grace is a saint then (Zoey is a sinner and Harper ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 410, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\...
{"split": "train", "index": 11522}
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 9 inhabitants: Amelia, Benjamin, Jackson, Grace, Joseph, Aiden, Zoey, Elizabeth, and Jack. Amelia was heard saying, \"(Jackson is an egoist or Grace is an ego...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 411, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"not\", [\"lying\", 5]], [\"or\", [\"telling...
{"split": "train", "index": 11523}
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 9 inhabitants: Avery, Scarlett, Joseph, Jack, Aiden, Samuel, Amelia, Olivia, and Isabella. \"Aiden is a hero,\" Avery declared. Scarlett asserted: \"(Aiden is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 412, \"statements\": [[\"not\", [\"lying\", 4]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"lying\", 3]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"lying\", 4], [\"and\", [\"->\",...
{"split": "train", "index": 11524}
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 9 inhabitants: Emily, Alexander, Riley, Elizabeth, Sofia, Luke, Amelia, Matthew, and Owen. Emily said, \"(Elizabeth is an altruist) or (Alexander is an altrui...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 413, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 8], [\"telling-truth\", 7], [\"lying\", 6]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"not\...
{"split": "train", "index": 11525}
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 9 inhabitants: Olivia, Scarlett, Sofia, Penelope, Oliver, Aria, Aurora, Benjamin, and Victoria. \"Scarlett is an altruist,\" Olivia mentioned. Scarlett told y...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 414, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 6]], [\"<=>\", [\"lying\", 5], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 0], [\"telling-truth\"...
{"split": "train", "index": 11526}
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 9 inhabitants: Ella, Olivia, Aiden, Zoey, Jackson, Riley, Emma, Emily, and Scarlett. Ella said that (Emma is an angel) if and only if (Emily is a devil or Emma is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 415, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 6]], [\"or\", [\"lying\", 7], [\"lying\", 6], [\"telling-truth\", 1]]], [\"lying\", 3], [\"lying\", 0], [\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 6]], [\"<=>\",...
{"split": "train", "index": 11527}
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 9 inhabitants: Zoey, Scarlett, Matthew, Amelia, Olivia, Emma, Aiden, Owen, and Daniel. In Zoey's words: \"if (Owen is an angel or Amelia is an angel) then Daniel is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 416, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"lying\", 8]], [\"lying\", 0], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], ...
{"split": "train", "index": 11528}
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 9 inhabitants: Michael, James, Ella, Aurora, Daniel, Henry, Grace, Victoria, and Sebastian. \"if Grace is an altruist then (Ella is an egoist and Sebastian is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 417, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"and\", [\"lying\", 2], [\"lying\", 8], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 2], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"and\", [\"not\",...
{"split": "train", "index": 11529}
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 9 inhabitants: Olivia, Liam, Scarlett, Lily, Henry, Elizabeth, Abigail, Mia, and Benjamin. Olivia remarked, \"Liam is a knave\". Liam said that it is not the case t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 418, \"statements\": [[\"lying\", 1], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"not\", [\"telling-truth\", 0]], [\"lying\", 4], [\"not\", [\"telling-truth\", 5]], [\"and\", [\"->\", [\"lying\", 6], [\"ly...
{"split": "train", "index": 11530}
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 9 inhabitants: Alexander, William, Daniel, Benjamin, Jacob, Lucas, Aria, Scarlett, and Zoey. Alexander noted, \"it is not the case that (Daniel is a hero and Daniel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 419, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\"...
{"split": "train", "index": 11531}
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 9 inhabitants: Samuel, David, Alexander, Henry, William, Penelope, Lucas, Jackson, and Avery. \"if (Jackson is a knight) then (David is a knave or Alexander is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 420, \"statements\": [[\"->\", [\"not\", [\"lying\", 7]], [\"or\", [\"lying\", 1], [\"lying\", 2]]], [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 1...
{"split": "train", "index": 11532}
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 9 inhabitants: Aria, Scarlett, Penelope, Evelyn, William, Noah, Charlotte, James, and Abigail. Aria said that (Noah is an angel if and only if Aria is an angel) and (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 421, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"and\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"<=>\", [\"or\", [\"lying\", 8], [\"lyi...
{"split": "train", "index": 11533}
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 9 inhabitants: Emma, Jack, Abigail, James, Michael, Charlotte, Evelyn, Zoey, and Alexander. Emma was heard saying, \"if (Alexander is a knight or Jack is a knight) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 422, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 4], [\"telling-truth\", 8]], [\"->\", [\"telling-truth...
{"split": "train", "index": 11534}
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 9 inhabitants: Penelope, Riley, Emily, Luke, Amelia, David, Joseph, Lucas, and Noah. Penelope expressed that (if David is a devil then Joseph is an angel) and (Riley ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 423, \"statements\": [[\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 6]], [\"and\", [\"lying\", 1], [\"lying\", 5], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 7], [\"telling-truth\", 2], [\"telling-t...
{"split": "train", "index": 11535}
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 9 inhabitants: James, Elizabeth, Olivia, Emma, David, Matthew, Benjamin, Henry, and Amelia. According to James, \"(Henry is a villain) and (Amelia is a hero and Eli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 424, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1], [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 5]]], [...
{"split": "train", "index": 11536}
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 9 inhabitants: Benjamin, Charlotte, Avery, Emma, Michael, Victoria, David, Aiden, and Ella. \"Avery is a pioneer or (Victoria is a laggard or Aiden is a lagga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 425, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"or\", [\"lying\", 5], [\"lying\", 7], [\"lying\", 8], [\"lying\", 4]], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"->\", [\"lying\", 2], [\"lying\", 5]]], [\"->\", [\"...
{"split": "train", "index": 11537}
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 9 inhabitants: Logan, Penelope, Scarlett, Elizabeth, Sofia, Mason, Sophia, Owen, and Ava. \"Mason is a saint,\" Logan declared. In a statement by Penelope: \"(Sophi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 426, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"not\", [\"lying\", 6]]], [\"lying\", 6], [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 6],...
{"split": "train", "index": 11538}
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 9 inhabitants: Ethan, Joseph, Ava, Elizabeth, Zoey, Samuel, Alexander, Penelope, and Abigail. Ethan commented, \"if (if Joseph is a fool then Samuel is a fool) then (Samu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 427, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"lying\", 5]], [\"or\", [\"telling-truth\", 5], [\"lying\", 2], [\"lying\", 1], [\"lying\", 8]]], [\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 6]], [\"and\", [...
{"split": "train", "index": 11539}
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 9 inhabitants: Sofia, Grace, Noah, Mason, Abigail, Jackson, Evelyn, Elizabeth, and Victoria. In Sofia's words: \"(Mason is a hero) and (Victoria is a villain and Ev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 428, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 8], [\"lying\", 6], [\"lying\", 7], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"telling-truth\", 8], [\"->\", [\"->\"...
{"split": "train", "index": 11540}
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 9 inhabitants: Jacob, Lucas, Sebastian, Sofia, Benjamin, Elizabeth, Avery, Lily, and Liam. \"(if Lucas is a knave then Sofia is a knave) if and only if Sofia is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 429, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 3]], [\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 0],...
{"split": "train", "index": 11541}
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 9 inhabitants: Jack, Mia, Oliver, Matthew, Ava, Evelyn, Alexander, James, and Ella. \"(if Evelyn is a laggard then Ava is a laggard) if and only if (Ava is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 430, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 5], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 6], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"and\", [\"lyi...
{"split": "train", "index": 11542}
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 9 inhabitants: Luke, Matthew, Ella, Lucas, Jack, Aiden, Avery, Amelia, and Jackson. Luke commented, \"(Avery is a pioneer if and only if Ella is a pioneer) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 431, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"or\", [\"lying\", 5], [\"telling-truth\", 5], [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"tellin...
{"split": "train", "index": 11543}
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 9 inhabitants: Benjamin, Emma, Abigail, Michael, Ava, Aiden, Sophia, Owen, and Scarlett. In Benjamin's words: \"if (Emma is a sinner or Scarlett is a saint) then (S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 432, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]], [\"not\", [\"lying\", 7]]...
{"split": "train", "index": 11544}
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 9 inhabitants: Scarlett, Grace, Lily, Zoey, Sofia, Chloe, Luke, Penelope, and Evelyn. Scarlett asserted: \"(Grace is an altruist or Evelyn is an egoist or Zoe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 433, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 8], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 7], [\"lying\", 3]], [\"or\", ...
{"split": "train", "index": 11545}
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 9 inhabitants: Jack, Ava, Grace, Victoria, Liam, Scarlett, Daniel, Noah, and Aurora. Jack told you that it is not the case that (Ava is a knave if and only if Noah ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 434, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 7]]], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"or\", [\"lying\", 7], [\"lying\", 2], [\"telling-tr...
{"split": "train", "index": 11546}
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 9 inhabitants: Benjamin, Lucas, Chloe, Abigail, Ava, Samuel, David, Logan, and Mason. Benjamin remarked, \"it is not the case that (Ava is an egoist if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 435, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 6]], [\"<=>\", [\"telling-truth\"...
{"split": "train", "index": 11547}
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 9 inhabitants: Ava, Zoey, James, David, Michael, Riley, Victoria, Sofia, and Harper. In Ava's words: \"it is not the case that (if Harper is a sinner then Victoria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 436, \"statements\": [[\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"lying\", 7], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 8], [\"lying\", 7]], [\"or\...
{"split": "train", "index": 11548}
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 9 inhabitants: Henry, Evelyn, Penelope, Chloe, Emma, Emily, Sofia, James, and William. Henry commented, \"(Emily is a knight if and only if Chloe is a knave) or (Ch...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 437, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 7], [\"lying\", 5]], [\"not\", [\"telling-truth\", 8]]], [\"and\...
{"split": "train", "index": 11549}
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 9 inhabitants: Joseph, Mason, Liam, Henry, Sophia, Benjamin, Avery, Abigail, and Oliver. Joseph asserted: \"Sophia is a knave\". In a statement by Mason: \"if (Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 438, \"statements\": [[\"lying\", 4], [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6], [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 8], [\"tell...
{"split": "train", "index": 11550}
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 9 inhabitants: Henry, Elizabeth, Evelyn, Abigail, Olivia, Riley, Emily, Charlotte, and Harper. Henry noted, \"(if Emily is a knight then Emily is a knave) or Harper...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 439, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 6]], [\"telling-truth\", 8]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"telling-truth\", 0], [\"->\", [\"telling-truth\...
{"split": "train", "index": 11551}
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 9 inhabitants: Abigail, Avery, Riley, Sofia, Samuel, David, Aurora, Evelyn, and Liam. In Abigail's words: \"(if David is an angel then Sofia is an angel) or (Avery is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 440, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]], [\"telling-truth\", 6]], [\"lying\", 0], [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 7], [\"lying\",...
{"split": "train", "index": 11552}
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 9 inhabitants: Olivia, Liam, Scarlett, Owen, Aria, Harper, Riley, Luke, and Victoria. As Olivia put it, \"Riley is a laggard\". Liam commented, \"(if Aria is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 441, \"statements\": [[\"lying\", 6], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"->\", [\"lying\", 0], [\"or\", [\"telling-truth\", 7], [\"lying\",...
{"split": "train", "index": 11553}
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 9 inhabitants: Lily, Emily, Michael, Grace, Avery, Abigail, Henry, Noah, and Oliver. Lily commented, \"it is not the case that (Oliver is a laggard)\". \"Grac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 442, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 8]]], [\"and\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"not\", [\"lying\", 8]], [\"not\", [\"not\", [\"lying\", 1]]], [\"and\", [\"an...
{"split": "train", "index": 11554}
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 9 inhabitants: James, Penelope, Lily, Luke, Sebastian, Jackson, Elizabeth, Sophia, and William. James was heard saying, \"(Jackson is a sage and Sebastian is a sage and J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 443, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4], [\"lying\", 5]], [\"not\", [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"or\", [\"lying\", 6], [\"or\",...
{"split": "train", "index": 11555}
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 9 inhabitants: David, Chloe, Olivia, William, Victoria, Sophia, Ava, Sofia, and Mason. \"(Mason is an altruist if and only if Sofia is an egoist) or (Victoria...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 444, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\...
{"split": "train", "index": 11556}
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 9 inhabitants: Owen, Zoey, Aiden, Scarlett, Sebastian, Isabella, Grace, Harper, and Ella. Owen asserted: \"(Scarlett is a laggard or Sebastian is a pioneer or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 445, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 7]], [\"not\", [\"telling-truth\", 8]]], [\"and\", [\"<=...
{"split": "train", "index": 11557}
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 9 inhabitants: Emily, Benjamin, Abigail, Aiden, Jack, Scarlett, David, Mia, and Sophia. Emily asserted: \"(Sophia is a sinner and David is a sinner) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 446, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 6]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"->\", [\"lying\", 0]...
{"split": "train", "index": 11558}
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 9 inhabitants: Michael, Isabella, Jack, Sebastian, Zoey, James, Riley, David, and Mia. Michael said, \"Mia is a hero.\" \"it is not the case that (if Mia is a hero ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 447, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\",...
{"split": "train", "index": 11559}
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 9 inhabitants: Lucas, Penelope, Isabella, Emma, Evelyn, Luke, Michael, Daniel, and Aurora. \"if (if Penelope is a villain then Isabella is a villain) then (Luke is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 448, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 5], [\"telling-truth\", 8]]], [\"or\", [\"not...
{"split": "train", "index": 11560}
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 9 inhabitants: Benjamin, Jacob, Samuel, Isabella, Emma, Aiden, Liam, Henry, and Avery. Benjamin was heard saying, \"Samuel is a saint\". \"(Liam is a sinner or Emma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 449, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 4], [\"telling-truth\", 8], [\"lying\", 2]], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"->\", [\"lying\"...
{"split": "train", "index": 11561}
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 9 inhabitants: Amelia, Jack, Benjamin, Zoey, Liam, Ava, David, Logan, and Michael. \"(Jack is an angel if and only if Ava is a devil) if and only if (Ava is an angel)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 450, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]], [\"not\", [\"lying\", 5]]], [\"lying\", 2], [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 7], [\"lying\", 0], [\"lying\", 1]]], [\"->\...
{"split": "train", "index": 11562}
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 9 inhabitants: Matthew, Ethan, Isabella, Scarlett, Joseph, James, Riley, Aurora, and Zoey. Matthew said that Isabella is an egoist. In a statement by Ethan: \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 451, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 6], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telli...
{"split": "train", "index": 11563}
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 9 inhabitants: Joseph, Charlotte, Sophia, Michael, Grace, Elizabeth, Benjamin, Ethan, and James. \"it is not the case that (if James is a pioneer then Sophia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 452, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lyi...
{"split": "train", "index": 11564}
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 9 inhabitants: Harper, Ethan, Daniel, Sofia, Matthew, Jackson, Oliver, Emily, and Ava. In a statement by Harper: \"it is not the case that (if Daniel is a villain t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 453, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5]], [\"lying\", 8], [\"->\", [\"lying\", 0], [\"telling-truth\", 8]]], [\"and\", [\"->\", [\"tel...
{"split": "train", "index": 11565}
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 9 inhabitants: Charlotte, James, Owen, Evelyn, Harper, Alexander, Samuel, Lucas, and Emily. Charlotte commented, \"(if Lucas is a sinner then Owen is a saint) and (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 454, \"statements\": [[\"and\", [\"->\", [\"lying\", 7], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 5], [\"lying\", 8]], [\"or\", [\"telling-truth\", 7], [\"lying\", 3]], [\"a...
{"split": "train", "index": 11566}
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 9 inhabitants: Daniel, Chloe, Jack, Evelyn, Aurora, Alexander, Lucas, Liam, and Olivia. Daniel expressed that (Aurora is a hero) and (Lucas is a villain if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 455, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"->\", [\"telling-truth\", 2], [\"lying\", 6]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"an...
{"split": "train", "index": 11567}
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 9 inhabitants: Samuel, Zoey, Daniel, Owen, Michael, Jack, Grace, Oliver, and Aria. Samuel expressed that it is not the case that (Aria is a pioneer if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 456, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"telling-truth\", 5], [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"telling-truth\", 5], [\"lying\", 8]], [\...
{"split": "train", "index": 11568}
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 9 inhabitants: Amelia, Lucas, Matthew, Mason, Liam, Michael, Riley, Benjamin, and Lily. In a statement by Amelia: \"it is not the case that (Lily is a saint)\". In ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 457, \"statements\": [[\"not\", [\"not\", [\"lying\", 8]]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"telling-truth\", 6], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5]], [\"<=>\", [\...
{"split": "train", "index": 11569}
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 9 inhabitants: Henry, Ethan, Logan, Elizabeth, Liam, Evelyn, Samuel, Avery, and Oliver. \"if Evelyn is a sinner then (if Logan is a sinner then Evelyn is a saint),\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 458, \"statements\": [[\"->\", [\"lying\", 5], [\"->\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 3], [\"lying\", 5]], [...
{"split": "train", "index": 11570}
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 9 inhabitants: David, Grace, Noah, Jack, Liam, Zoey, Avery, Luke, and Aria. David stated, \"Zoey is a knave if and only if (Avery is a knight and Aria is a knave an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 459, \"statements\": [[\"<=>\", [\"lying\", 5], [\"and\", [\"telling-truth\", 6], [\"lying\", 8], [\"lying\", 1], [\"lying\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]], [\"->\", [\"telling-truth\", 3], [...
{"split": "train", "index": 11571}
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 9 inhabitants: Riley, Olivia, Ella, Ethan, Emily, William, Oliver, Michael, and Joseph. Riley was heard saying, \"(William is a devil or Oliver is a devil or Olivia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 460, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 6], [\"lying\", 1], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 7]], [...
{"split": "train", "index": 11572}
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 9 inhabitants: Lily, Evelyn, Jack, Liam, Oliver, Aiden, Riley, Isabella, and Zoey. Lily asserted: \"Oliver is an altruist\". Evelyn was heard saying, \"if (Ai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 461, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"and\", [\"lying\", 5], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 8], [\"lying\", 3]], ...
{"split": "train", "index": 11573}
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 9 inhabitants: Ethan, Avery, Sebastian, David, Emily, Alexander, Emma, Benjamin, and Lily. In a statement by Ethan: \"it is not the case that (Sebastian is a sage if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 462, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"t...
{"split": "train", "index": 11574}
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 9 inhabitants: Amelia, Lucas, Emily, Owen, Olivia, Harper, Joseph, Sofia, and Samuel. Amelia commented, \"(Emily is a knight) if and only if (Sofia is a knight and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 463, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 7], [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 6], [\"lying\", 0], [\"telling-trut...
{"split": "train", "index": 11575}
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 9 inhabitants: Abigail, Aria, Emma, Mason, Lucas, Ava, Emily, Daniel, and Charlotte. \"Abigail is a knight,\" Abigail mentioned. Aria was heard saying, \"if (if Mas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 464, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"telling-truth\", 7], [\"telling-truth\", 2], [\"or\", [\"and\", [\...
{"split": "train", "index": 11576}
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 9 inhabitants: Ethan, Jacob, Aiden, James, Avery, Noah, Luke, Logan, and Lucas. Ethan expressed that (if Lucas is a laggard then James is a pioneer) and (Loga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 465, \"statements\": [[\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 7], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\...
{"split": "train", "index": 11577}
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 9 inhabitants: David, Ella, Jack, Emily, Grace, Owen, Jacob, Aiden, and Ava. David told you that (Owen is a fool if and only if Ella is a fool) if and only if Emily is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 466, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 1]], [\"lying\", 3]], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]], [\"lying\", 4]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [...
{"split": "train", "index": 11578}
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 9 inhabitants: Abigail, Avery, Sophia, Ava, Luke, Henry, Aiden, Lucas, and Lily. \"Henry is a laggard,\" Abigail mentioned. \"Luke is a laggard,\" Avery menti...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 467, \"statements\": [[\"not\", [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 6], [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 7]], [\"->\", [\"lying\", 5], [\"lying\", 6]], [\"and\",...
{"split": "train", "index": 11579}
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 9 inhabitants: Liam, Benjamin, Victoria, Michael, Daniel, Matthew, Abigail, Jacob, and Sofia. Liam was heard saying, \"Jacob is a knave\". Benjamin told you that Ma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 468, \"statements\": [[\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 3], [\"->\", [\"->\", [\"lying\", 5], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"->\", [\"and\", [\"telling-...
{"split": "train", "index": 11580}
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 9 inhabitants: Samuel, Emma, Ethan, Grace, David, Olivia, Evelyn, Lucas, and Jack. Samuel said that David is a devil. In Emma's words: \"David is a devil\". Ethan sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 469, \"statements\": [[\"lying\", 4], [\"lying\", 4], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 5], [\"telling-truth\", 3]], [\"or\", [\"lying\", 8], [\"telling-truth\", ...
{"split": "train", "index": 11581}
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 9 inhabitants: Sophia, Henry, Avery, Jackson, Lily, Benjamin, Alexander, Ella, and Aurora. Sophia said, \"Alexander is a fool.\" Henry commented, \"it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 470, \"statements\": [[\"lying\", 6], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 8], [\"lying\", 8], [\"telling-truth\", 0], [\"lying\", 7]], [\"or\", [\"telling-truth\"...
{"split": "train", "index": 11582}
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 9 inhabitants: Jacob, Chloe, Owen, Olivia, Ava, James, Ethan, Emma, and Michael. Jacob asserted: \"(Owen is a sinner) or (if Chloe is a sinner then James is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 471, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 5]], [\"lying\", 3], [\"lying\", 7]], [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"and\"...
{"split": "train", "index": 11583}
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 9 inhabitants: Jackson, Harper, Isabella, Daniel, Ella, Scarlett, Henry, Aria, and Charlotte. \"(Daniel is a knave or Henry is a knave or Jackson is a knight or Ell...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 472, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 6], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 3],...
{"split": "train", "index": 11584}
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 9 inhabitants: Logan, Henry, Joseph, Benjamin, Luke, Owen, Isabella, Olivia, and Amelia. Logan told you that Henry is a pioneer. Henry remarked, \"if (Benjami...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 473, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", [\"lying\", 6]]], [\"telling-truth\", 8], [\"and\", [\"or\", [\"lying\", 8], [\"lying\", 2]], [\"or\", [\"tell...
{"split": "train", "index": 11585}
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 9 inhabitants: Joseph, Penelope, Amelia, Grace, Riley, Sebastian, Emma, Alexander, and Ethan. According to Joseph, \"Penelope is a knight and (Joseph is a knight if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 474, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"not\", [\"lying\", 4]], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"...
{"split": "train", "index": 11586}
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 9 inhabitants: Henry, Jacob, Alexander, Sebastian, Noah, Lucas, Benjamin, Samuel, and Grace. Henry commented, \"Sebastian is a knave and (Sebastian is a knave and S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 475, \"statements\": [[\"and\", [\"lying\", 3], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 8]], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"lying\", 4], [\"tellin...
{"split": "train", "index": 11587}
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 9 inhabitants: Olivia, Luke, Elizabeth, Riley, Ava, Sofia, Mason, Matthew, and Zoey. \"(Ava is a knight or Ava is a knave or Zoey is a knight) or (Ava is a knight i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 476, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"...
{"split": "train", "index": 11588}
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 9 inhabitants: Emily, Charlotte, Ella, Sebastian, James, Henry, Amelia, Scarlett, and Benjamin. In Emily's words: \"if (Henry is a devil and Emily is an angel) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 477, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 8], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"not\",...
{"split": "train", "index": 11589}
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 9 inhabitants: Joseph, David, William, Michael, Alexander, Henry, Evelyn, Abigail, and Emily. According to Joseph, \"it is not the case that (if Emily is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 478, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8], [...
{"split": "train", "index": 11590}
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 9 inhabitants: Benjamin, Jackson, Emma, David, Henry, Victoria, William, Aria, and Jacob. As Benjamin put it, \"Emma is a villain\". Jackson said, \"if (Benjamin is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 479, \"statements\": [[\"lying\", 2], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"->\", [\"lying\", 0], [\"telling-truth\", 5]]], [\"telling-truth\", 5], [\"and\", [\"or\", [\"telling-truth\", 5], [\...
{"split": "train", "index": 11591}
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 9 inhabitants: Ava, Mia, Emma, Liam, Emily, Daniel, Abigail, Alexander, and Noah. Ava expressed that (Noah is a fool if and only if Noah is a sage) if and only if (Noah i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 480, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 8]]], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 0], [\"or\", [\"lying\", 7], [\"telling-truth\", 2], ...
{"split": "train", "index": 11592}
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 9 inhabitants: Matthew, Samuel, Henry, Sebastian, Daniel, Olivia, Ethan, Harper, and Lucas. Matthew was heard saying, \"(if Daniel is a villain then Ethan is a vill...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 481, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"lying\", 6]], [\"or\", [\"lying\", 4], [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 5], [\"lying\", 6], [\...
{"split": "train", "index": 11593}
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 9 inhabitants: Aurora, Lily, Amelia, Abigail, Scarlett, Ella, Noah, Sofia, and Mason. In a statement by Aurora: \"Lily is a knight\". According to Lily, \"(Abigail ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 482, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 6]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 8], [\"lying\", 1], ...
{"split": "train", "index": 11594}
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 9 inhabitants: Liam, Grace, Ava, Owen, Jackson, Penelope, Avery, Aurora, and Elizabeth. As Liam put it, \"(Grace is a laggard) or (Liam is a laggard) or (Aver...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 483, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 6], [\"telling-truth\", 5], [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"telling-truth\", 0], [\...
{"split": "train", "index": 11595}
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 9 inhabitants: Jacob, Olivia, Aria, Owen, Sebastian, Luke, David, Evelyn, and Joseph. Jacob commented, \"Aria is a laggard and (Aria is a laggard or Sebastian...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 484, \"statements\": [[\"and\", [\"lying\", 2], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 5], [\"lying\", 8]], [\"lying\", 6], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"lying\", 5], [\"telling-truth\", ...
{"split": "train", "index": 11596}
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 9 inhabitants: Lily, Emma, Henry, David, James, Liam, Olivia, Michael, and Joseph. \"James is a knight and (if Michael is a knave then Olivia is a knight) and (Emma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 485, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"->\", [\"lying\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 5], [\"lying\", 2], [\"...
{"split": "train", "index": 11597}
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 9 inhabitants: Elizabeth, Aurora, Abigail, Luke, Victoria, Avery, Lucas, David, and Ella. \"it is not the case that (Luke is a villain if and only if Abigail is a v...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 486, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 6], [\"lying\", 5]], [\"or\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 5]]...
{"split": "train", "index": 11598}
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 9 inhabitants: James, Abigail, Emma, Lily, Charlotte, Ava, Ethan, Oliver, and Aria. James said, \"(Ava is an angel or Lily is an angel) or (Ethan is a devil if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 487, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"telling-truth\", 2], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 3], [\"tellin...
{"split": "train", "index": 11599}