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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: Sebastian, Penelope, Lucas, Sophia, Henry, Aurora, Aria, Aiden, and Benjamin. Sebastian remarked, \"((Aiden is a hero if and only if Henry is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 466, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]], [\"or\", [\"lying\", 7], [\"lying\", 8]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"or\", [\"lying\", 1]...
{"split": "train", "index": 13800}
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: Elizabeth, Amelia, Charlotte, Henry, Ella, Jacob, Riley, Avery, and Benjamin. In Elizabeth's words: \"Riley is a knight\". Amelia stated, \"Elizabeth...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 467, \"statements\": [[\"telling-truth\", 6], [\"or\", [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"or\", [\"->\", [\"lying\", 7], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"a...
{"split": "train", "index": 13801}
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: Noah, Emily, Joseph, Jacob, Jackson, Logan, Grace, Sebastian, and Michael. \"((Emily is a devil and Joseph is an angel) if and only if (if Sebastian is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 468, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"or\", [\"or\", [\"lying\", 6], [\"lying\", 7]], [\"not\", [\"lying\", 5]]]], [\...
{"split": "train", "index": 13802}
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: Ethan, Isabella, Daniel, Harper, Joseph, Alexander, Evelyn, Amelia, and Jackson. Ethan stated, \"Joseph is an egoist\". Isabella told you that ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 469, \"statements\": [[\"lying\", 4], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-tru...
{"split": "train", "index": 13803}
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, Penelope, Liam, Sofia, Sebastian, Mason, Samuel, Jacob, and Charlotte. Amelia asserted: \"(Charlotte is a sinner) or (if (Liam is a sinner if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 470, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 5]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"telling-truth\", 8], [\"->\", [\"and\", [\"lying\", ...
{"split": "train", "index": 13804}
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: Mia, Riley, Chloe, Owen, Sofia, Logan, Samuel, Luke, and Ella. Mia was heard saying, \"Samuel is a laggard\". Riley said that it is not the cas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 471, \"statements\": [[\"not\", [\"telling-truth\", 6]], [\"not\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 8]], [\"or\", [\"lying\", 8], [\"lying\", 2]]]], [\"or\", [\"or\", [\"lying\", 0], [\"or\", [\"lying\", ...
{"split": "train", "index": 13805}
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, Zoey, James, Mia, Penelope, Mason, Jacob, Harper, and Emily. \"(it is not the case that (if James is a hero then Michael is a hero)) and ((M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 472, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]]], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 4],...
{"split": "train", "index": 13806}
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: Ava, Daniel, Noah, Luke, Scarlett, Charlotte, Lily, Emma, and Matthew. \"((Daniel is a pioneer or Lily is a laggard) and Matthew is a laggard) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 473, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 6]], [\"lying\", 8]], [\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"or\", [\"or\", [\"lying\", 0], [\"lying\"...
{"split": "train", "index": 13807}
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: Chloe, Mia, Elizabeth, Joseph, Harper, William, Logan, Riley, and Noah. Chloe stated, \"Riley is a saint\". Mia asserted: \"(Elizabeth is a saint and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 474, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"and\", [\"telling-truth\", 2], [\"or\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"tellin...
{"split": "train", "index": 13808}
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: Michael, Ava, Riley, Oliver, Liam, Jacob, Penelope, Olivia, and Victoria. As Michael put it, \"Jacob is a saint\". In a statement by Ava: \"(if (if A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 475, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"telling-truth\", 4]], [\"<=>\", [\"<=>\", [\"and\", [\"te...
{"split": "train", "index": 13809}
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: Scarlett, Lucas, Aiden, Mia, James, Ava, David, Jacob, and Mason. Scarlett stated, \"((Mia is a villain if and only if Jacob is a hero) and (Jacob is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 476, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"and\", [\"not\", [\"lying\", 8]], [\"not...
{"split": "train", "index": 13810}
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: Jacob, Penelope, Joseph, Ella, James, Samuel, Lily, Matthew, and Jack. Jacob asserted: \"(it is not the case that (if Joseph is an angel then Samuel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 477, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"->\...
{"split": "train", "index": 13811}
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: Sofia, Grace, Jacob, Benjamin, Chloe, Zoey, Mason, Riley, and Aurora. \"Jacob is a laggard,\" Sofia declared. \"((Chloe is a laggard if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 478, \"statements\": [[\"lying\", 2], [\"and\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 5]], [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]], [\"->\", [\"lying\", 0], [\"telli...
{"split": "train", "index": 13812}
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: Luke, Daniel, Aiden, Evelyn, Chloe, Owen, Jacob, Harper, and Alexander. \"it is not the case that ((Jacob is a fool if and only if Evelyn is a sage) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 479, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]], [\"->\", [\"lying\", 7], [\"telling-truth\", 0]]]], [\"not\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"a...
{"split": "train", "index": 13813}
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: Aria, Oliver, Charlotte, Michael, David, Zoey, Emily, Mia, and Ava. Aria noted, \"(it is not the case that (Ava is a knave and Michael is a knight)) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 480, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 1]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]]]], [\"and\", [\"<=>\", ...
{"split": "train", "index": 13814}
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: Harper, Michael, William, Alexander, Grace, Aurora, Jackson, Joseph, and Penelope. According to Harper, \"(if Michael is a knight then (Joseph is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 481, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 7]], [\"or\", [\"telling-truth\", 3], [\"lying\", 6]]]...
{"split": "train", "index": 13815}
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: David, Zoey, Evelyn, Liam, Scarlett, Lily, Luke, Samuel, and Aiden. David noted, \"if (if (Zoey is a hero) then Luke is a hero) then ((Zoey is a vill...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 482, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 6]], [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 5]], [\"or\", [\"lying\", 6], [\"telling-truth\", 1]]]], [\"lying\", 2], [\"lying\", 5]...
{"split": "train", "index": 13816}
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: Chloe, Aurora, Sofia, Isabella, Lucas, Benjamin, Olivia, Amelia, and Luke. \"Lucas is a saint and (Luke is a sinner or Aurora is a sinner),\" Chloe c...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 483, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"or\", [\"lying\", 8], [\"lying\", 1]]], [\"telling-truth\", 6], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"or\", [\"not\", [\"telling-tr...
{"split": "train", "index": 13817}
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, Sophia, Isabella, Penelope, Evelyn, Emily, Jacob, Ethan, and Henry. Harper noted, \"Henry is a hero\". As Sophia put it, \"((Ethan is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 484, \"statements\": [[\"not\", [\"lying\", 8]], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 4]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"telling-truth\", 7]], [\"or\", [\"<=>\", [\"and\", [\"lying...
{"split": "train", "index": 13818}
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, Owen, Scarlett, Aurora, Abigail, Joseph, David, Elizabeth, and Luke. \"it is not the case that (if (Luke is a hero or Abigail is a villain) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 485, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 4]], [\"not\", [\"lying\", 3]]]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\",...
{"split": "train", "index": 13819}
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: Abigail, James, Ethan, Emma, Lily, Isabella, Joseph, Aria, and Alexander. Abigail said that (if (James is an altruist if and only if Alexander ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 486, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"not\", [\"lying\", 6]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\...
{"split": "train", "index": 13820}
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: James, Jacob, Riley, Chloe, Olivia, Sebastian, Aurora, Isabella, and Aria. James asserted: \"((Chloe is a sinner and Jacob is a sinner) and (Aurora i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 487, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"and\",...
{"split": "train", "index": 13821}
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, Avery, David, Aiden, Jack, Alexander, Sofia, James, and Liam. In Joseph's words: \"(Sofia is a pioneer if and only if (Jack is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 488, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 6], [\"not\", [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 6]], [\"->\", [\"lying\", 8], [\"lying\", 4]]]], [\"or\", [\"telling-truth\", ...
{"split": "train", "index": 13822}
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, Aurora, Mason, Harper, Jackson, Avery, Logan, Noah, and Sebastian. Matthew noted, \"Mason is a fool\". Aurora remarked, \"if (Noah is a sage if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 489, \"statements\": [[\"lying\", 2], [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], ...
{"split": "train", "index": 13823}
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: Olivia, Joseph, Charlotte, Grace, Aiden, Jacob, James, Avery, and Sofia. As Olivia put it, \"(if (Jacob is a villain and Aiden is a hero) then Charlo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 490, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"lying\", 1]]], [\"not\", [\"telling-tru...
{"split": "train", "index": 13824}
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: Liam, Lily, Amelia, James, Isabella, Ella, Emily, Noah, and Evelyn. Liam stated, \"Isabella is a fool\". According to Lily, \"Emily is a sage\". Amelia not...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 491, \"statements\": [[\"lying\", 4], [\"telling-truth\", 6], [\"not\", [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 8]], [\"->\", [\"telling-truth\", 3], [\"lying\", 7]]]], [\"->\", [\"not\", [\"<=>\", [\"lying\", 2], [\"te...
{"split": "train", "index": 13825}
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: Isabella, Sebastian, Avery, Victoria, Aurora, Sophia, Matthew, Luke, and Michael. Isabella was heard saying, \"Avery is a knight\". In a statement by...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 492, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"->\", [\"lying\", 6], [\"->\", [\"lying\", 2], [\"lying\", 6]]]], [\"->\", [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]], [\"lying\", 5]], [\"->\", [\"and...
{"split": "train", "index": 13826}
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: Henry, David, Lucas, Ethan, Aiden, William, Sofia, Ava, and Elizabeth. Henry expressed that (William is a pioneer) and (if (Sofia is a pioneer)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 493, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"->\", [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 8], [\"telling-truth\", 6]]]], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], ...
{"split": "train", "index": 13827}
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: Lucas, Emma, Joseph, Charlotte, Ethan, Liam, Penelope, James, and Jacob. Lucas expressed that (Penelope is a fool and Lucas is a sage) or (if (Charlotte is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 494, \"statements\": [[\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 7]], [\"not\", [\"telling-truth\", 8]]]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\"...
{"split": "train", "index": 13828}
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: Harper, Scarlett, Penelope, Luke, Sophia, Aria, Victoria, Aiden, and Elizabeth. As Harper put it, \"if (if (Sophia is a sinner if and only if Luke is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 495, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"not\", [\"not\", [\"lying\", 1]]]], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\...
{"split": "train", "index": 13829}
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: Jackson, Amelia, Ava, Michael, Aiden, James, Henry, Ethan, and David. Jackson noted, \"(James is a sinner and (Ava is a saint)) and (it is not the ca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 496, \"statements\": [[\"and\", [\"and\", [\"lying\", 5], [\"not\", [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"not\", [\"lying\", 2]]], [\"not\", [\"...
{"split": "train", "index": 13830}
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: Ella, Harper, Avery, Aurora, Riley, Liam, David, Charlotte, and Matthew. Ella was heard saying, \"((if David is a villain then Matthew is a hero) if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 497, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"<=>\", [\"tel...
{"split": "train", "index": 13831}
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: Victoria, Riley, Henry, Luke, Logan, Penelope, Evelyn, James, and Grace. \"(it is not the case that (if Penelope is a saint then Evelyn is a sinner))...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 498, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"lying\", 4]], [\"telling-truth\", 8], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 1]], [\"lying\", 1]], [\"and...
{"split": "train", "index": 13832}
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: Daniel, Penelope, Avery, Grace, Aurora, Noah, Evelyn, Emily, and Mia. Daniel said, \"if ((Avery is a knave or Noah is a knave) and (if Noah is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 499, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"telling-truth\", 8]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth...
{"split": "train", "index": 13833}
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: Zoey, Sebastian, Amelia, Abigail, Samuel, Liam, Oliver, Jack, and Aria. Zoey expressed that if (if (Samuel is a sinner if and only if Jack is a sinne...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 500, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 7]], [\"lying\", 5]], [\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 5]]]], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"tell...
{"split": "train", "index": 13834}
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: Noah, Isabella, Jacob, Evelyn, Victoria, Charlotte, Lily, Jack, and Henry. As Noah put it, \"(if (Victoria is a knave or Victoria is a knight) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 501, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"or\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>...
{"split": "train", "index": 13835}
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: Victoria, Isabella, Matthew, Jack, Zoey, Evelyn, Sophia, Emily, and Sofia. Victoria was heard saying, \"Jack is an angel\". Isabella was heard saying, ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 502, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 7]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\...
{"split": "train", "index": 13836}
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, Mason, Sofia, Zoey, Riley, Jack, Elizabeth, Aria, and Olivia. David stated, \"if ((if Riley is an altruist then David is an altruist) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 503, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"telling-truth\", 2]]], [\"or\...
{"split": "train", "index": 13837}
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, William, Avery, Ethan, Lily, Aiden, Joseph, David, and Riley. Emily said that (if (David is a devil) then Riley is an angel) or ((if Joseph is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 504, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 8]], [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [\"not\", [\"lying\", 1]]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"...
{"split": "train", "index": 13838}
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: Zoey, Sebastian, Alexander, Scarlett, Ella, Abigail, Ava, Victoria, and Sophia. Zoey was heard saying, \"Zoey is a sage\". \"it is not the case that ((Alex...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 505, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"and\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"telling-truth\", 3], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\...
{"split": "train", "index": 13839}
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: Sophia, James, Aurora, Avery, Ella, Zoey, Samuel, Riley, and Oliver. According to Sophia, \"Oliver is a knight\". James expressed that if ((Samuel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 506, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"<=>\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 8]], [\"->\", [\"te...
{"split": "train", "index": 13840}
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: Henry, Ava, Mason, Lucas, Alexander, Lily, Noah, Victoria, and Chloe. According to Henry, \"Alexander is a hero\". Ava expressed that (if Alexander i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 507, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"->\", [\"lying\", 4], [\"and\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"telling-truth\", 6]], [\"<=>\", [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 7]]], [\"no...
{"split": "train", "index": 13841}
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, Aurora, Abigail, William, Isabella, Matthew, Sebastian, Jackson, and Joseph. In Mason's words: \"(if (Joseph is an altruist and Isabella...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 508, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 4]], [\"->\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 7]], [\"not\", [\"lying\", 7...
{"split": "train", "index": 13842}
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: Riley, Isabella, Matthew, Aiden, Sophia, Henry, Olivia, Aurora, and Charlotte. \"Henry is an altruist or (it is not the case that (Aiden is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 509, \"statements\": [[\"or\", [\"telling-truth\", 5], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [\"and\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"telling-truth\...
{"split": "train", "index": 13843}
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: Aurora, Lily, Chloe, Jack, Ella, Emily, Evelyn, Oliver, and Owen. \"Owen is a villain\" - Aurora. Lily was heard saying, \"it is not the case that (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 510, \"statements\": [[\"lying\", 8], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 6]]]], [\"->\", [\"->\", [\"telling-truth\", 7], [\"->\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"and\", [\"not\", [\"...
{"split": "train", "index": 13844}
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: Sofia, Joseph, Owen, Zoey, Avery, Aurora, Oliver, Elizabeth, and Jacob. Sofia told you that Owen is a devil or (if (Elizabeth is a devil or Jacob is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 511, \"statements\": [[\"or\", [\"lying\", 2], [\"->\", [\"or\", [\"lying\", 7], [\"lying\", 8]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"or\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"an...
{"split": "train", "index": 13845}
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: Aurora, Ethan, Charlotte, Scarlett, Noah, Zoey, Riley, Owen, and Michael. Aurora remarked, \"((if Owen is an altruist then Scarlett is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 512, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 3]], [\"lying\", 8]]...
{"split": "train", "index": 13846}
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: Jack, Luke, Aiden, Zoey, Penelope, Isabella, Emma, David, and Jacob. Jack expressed that Luke is a fool. \"((Jack is a fool and Zoey is a fool) or (if Aide...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 513, \"statements\": [[\"lying\", 1], [\"<=>\", [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 8]]], [\"lying\", 4]], [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"and\", [\"telling-...
{"split": "train", "index": 13847}
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: Jack, Joseph, Emma, Elizabeth, Samuel, Sofia, Aiden, Abigail, and Matthew. \"Joseph is an egoist,\" Jack claimed. Joseph remarked, \"Samuel is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 514, \"statements\": [[\"lying\", 1], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"telling-truth\", 7]], [\"lying\", 8]], [\"telling-truth\", 5], [\"->\", [\"->\", ...
{"split": "train", "index": 13848}
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: Aria, Jack, Benjamin, Michael, Henry, Amelia, Elizabeth, William, and Ethan. Aria noted, \"Elizabeth is a fool\". Jack commented, \"(if (Jack is a sage or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 515, \"statements\": [[\"lying\", 6], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"lying\", 6]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]]]], [\"or\", [\"...
{"split": "train", "index": 13849}
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: Matthew, Ethan, Oliver, Chloe, Jackson, Zoey, Ava, Alexander, and Abigail. \"it is not the case that (if (Ava is a saint if and only if Matthew is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 516, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 7]]]], [\"lying\", 5], [\"not\", [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"n...
{"split": "train", "index": 13850}
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, Avery, Zoey, Liam, Chloe, Aiden, Riley, Jackson, and Abigail. \"if (it is not the case that (Abigail is a villain if and only if Zoey is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 517, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 5], [\"lying\", 6]]]], [\"or\", [\"and\", [\"...
{"split": "train", "index": 13851}
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: Jackson, Chloe, Zoey, Luke, Michael, Benjamin, Noah, Ethan, and Victoria. \"Michael is a sage,\" Jackson declared. \"if (it is not the case that (Ethan is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 518, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"->\", [\"lying\", 7], [\"lying\", 6]]]...
{"split": "train", "index": 13852}
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: Michael, Matthew, Lily, Isabella, Aria, Oliver, Aurora, Mia, and Olivia. In a statement by Michael: \"(if Matthew is a knave then (Lily is a knight o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 519, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"telling-truth\", 8], [\"and\", [\"or\"...
{"split": "train", "index": 13853}
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: Avery, Samuel, Jack, Luke, Ava, Logan, James, Aurora, and Penelope. Avery told you that ((Penelope is a pioneer or Penelope is a laggard) or (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 520, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 8]], [\"->\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 2]], [\"and\", [\"lying\", 6], [\"tell...
{"split": "train", "index": 13854}
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, Isabella, Emma, William, Jacob, Avery, Evelyn, Aiden, and Sofia. \"it is not the case that ((Jacob is a saint if and only if Aiden is a sinner) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 521, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]], [\"or\", [\"telling-truth\", 8], [\"lying\", 7]]]], [\"->\", [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"...
{"split": "train", "index": 13855}
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, Samuel, Lily, Chloe, Ethan, William, Michael, Jackson, and Mia. \"(if (Jackson is a pioneer and William is a pioneer) then Ethan is a l...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 522, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"lying\", 4]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 6], [\"lying\", 1]]]...
{"split": "train", "index": 13856}
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: Sophia, Noah, Aurora, Olivia, Victoria, Luke, Alexander, Aiden, and Mia. Sophia said that if ((Victoria is a knave or Olivia is a knave) or (Olivia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 523, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 8]]], [\"->\", [\"and\", [\"lying\", 5], [\"lying\", 6]], [\"->\", [\"telling-truth\", 3], [\"telling-truth...
{"split": "train", "index": 13857}
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: Grace, Ava, Mason, Scarlett, Lily, Penelope, Alexander, Michael, and Amelia. According to Grace, \"Mason is a sage\". Ava said that ((if Ava is a sage then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 524, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 7], [\"not\", [\"telling-truth...
{"split": "train", "index": 13858}
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, Riley, Lucas, James, Grace, Harper, Daniel, Matthew, and Owen. \"((if Matthew is a knave then Daniel is a knave) and Grace is a knight) or ((M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 525, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 7], [\"lying\", 6]], [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"lying\", 7], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"<=...
{"split": "train", "index": 13859}
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: Harper, Riley, Jack, Ella, Sebastian, Liam, Ethan, Isabella, and Lily. Harper remarked, \"Lily is a sinner\". Riley expressed that ((Liam is a sinner...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 526, \"statements\": [[\"lying\", 8], [\"and\", [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 2]], [\"lyi...
{"split": "train", "index": 13860}
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: Sofia, Luke, Ethan, Samuel, Grace, Jack, Evelyn, Chloe, and Aiden. Sofia said that Aiden is an angel. Luke commented, \"((Chloe is an angel and Jack is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 527, \"statements\": [[\"not\", [\"lying\", 8]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"...
{"split": "train", "index": 13861}
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: Joseph, Olivia, Owen, Ava, Aurora, Liam, Ella, William, and Lucas. According to Joseph, \"Liam is a fool\". Olivia stated, \"it is not the case that ((Will...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 528, \"statements\": [[\"lying\", 5], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"and\", [\"telling-truth\", 4], [\"not\", [\...
{"split": "train", "index": 13862}
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: Joseph, Ella, Riley, Sebastian, Olivia, Jacob, Harper, Penelope, and Mason. In Joseph's words: \"Olivia is a villain\". As Ella put it, \"if (if (Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 529, \"statements\": [[\"lying\", 4], [\"->\", [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"and\", [\"tel...
{"split": "train", "index": 13863}
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: James, Jacob, William, Evelyn, Sofia, Alexander, Lily, Victoria, and Sophia. James asserted: \"(Victoria is an egoist or (if Sofia is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 530, \"statements\": [[\"or\", [\"or\", [\"lying\", 7], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 3]]]], [\"or\", [\"not\", [\"n...
{"split": "train", "index": 13864}
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: James, Logan, Noah, Michael, Aurora, Lily, Victoria, Grace, and Sofia. In a statement by James: \"((Sofia is a pioneer if and only if Lily is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 531, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 6]]], [\"and\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"and\", [\"not\", [\"telling-truth\"...
{"split": "train", "index": 13865}
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, Ava, Jackson, Daniel, Scarlett, Sofia, Liam, Ethan, and Noah. William stated, \"Jackson is a knight if and only if ((Jackson is a knave if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 532, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"or\", [\"not\", [\"and\", [\"lying\", 6], [\"lying\", ...
{"split": "train", "index": 13866}
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: Chloe, Avery, Henry, Noah, Logan, Joseph, Emily, Sophia, and Olivia. According to Chloe, \"(if (Emily is a pioneer if and only if Noah is a lag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 533, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]], [\"telling-truth\", 3]], [\"not\", [\"lying\", 6]]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"not\", [\"lying\"...
{"split": "train", "index": 13867}
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: Grace, Aria, Aurora, Zoey, Benjamin, Daniel, Luke, Ava, and Jackson. \"it is not the case that ((Jackson is a sinner) and Jackson is a saint),\" Grac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 534, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 8]], [\"telling-truth\", 8]]], [\"not\", [\"or\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 2], [\"lying\", 6]]]], [...
{"split": "train", "index": 13868}
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: Avery, Sebastian, Oliver, David, James, Lucas, Emily, Liam, and Logan. \"Lucas is a fool,\" Avery claimed. In a statement by Sebastian: \"if (it is not the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 535, \"statements\": [[\"lying\", 5], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 5]]]], [\"<=>\", [\...
{"split": "train", "index": 13869}
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: Sophia, Harper, Aria, Michael, Sofia, Elizabeth, Mia, Benjamin, and Amelia. \"((Benjamin is a villain or Sofia is a hero) if and only if (Mia is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 536, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 6], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"lying\", 2]]], [\"not\", [\"...
{"split": "train", "index": 13870}
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: Chloe, Henry, Alexander, Sofia, Evelyn, Emma, Elizabeth, Sophia, and Aiden. Chloe told you that Evelyn is a sinner. Henry told you that (if (Henry is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 537, \"statements\": [[\"lying\", 4], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"and\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 8]],...
{"split": "train", "index": 13871}
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, Sophia, Noah, Sebastian, Mia, Michael, Scarlett, Victoria, and Benjamin. \"((Scarlett is a hero) if and only if (Michael is a hero or Victoria...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 538, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 6]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"and\", [\"->\", [\"telling-truth\", 8], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"te...
{"split": "train", "index": 13872}
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: Alexander, Sofia, Henry, Matthew, Isabella, Riley, Abigail, Lucas, and Michael. Alexander commented, \"Sofia is a sinner\". Sofia asserted: \"if (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 539, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lying\", 6], [\"telling-truth\", 2]]], [\"telling-truth\", 5]], [\"or\", [\"or\", [\"->\", [\"lying\", 6...
{"split": "train", "index": 13873}
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: Sofia, Lily, Jackson, Daniel, Grace, Noah, Olivia, Penelope, and Sophia. Sofia commented, \"Jackson is a sage if and only if (Sophia is a fool or (Sofia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 540, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"or\", [\"lying\", 8], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5]]]], [\"->\", [\"->\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]], [\"or\", [\"lyin...
{"split": "train", "index": 13874}
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: Oliver, Daniel, Chloe, Owen, Jacob, Matthew, Grace, Ella, and Isabella. As Oliver put it, \"((Matthew is a knave or Matthew is a knight) and (if Isab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 541, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5]], [\"->\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-tru...
{"split": "train", "index": 13875}
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: Scarlett, Ella, Mia, Liam, David, Sofia, Riley, Lucas, and Elizabeth. \"if (if Riley is a hero then (Elizabeth is a hero)) then ((Liam is a hero and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 542, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 6], [\"not\", [\"lying\", 8]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"or\", [\"lying\", 8], [\"lying\", 4]]]], [\"or\", [\"lying\", 6...
{"split": "train", "index": 13876}
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: Ava, Harper, Oliver, Lucas, Sofia, Scarlett, Michael, Avery, and Chloe. Ava asserted: \"(if (Harper is a pioneer if and only if Michael is a la...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 543, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 6], [\"...
{"split": "train", "index": 13877}
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: Ethan, Noah, Logan, Grace, Victoria, David, Samuel, Harper, and Matthew. Ethan stated, \"Grace is a villain if and only if (if (David is a hero and V...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 544, \"statements\": [[\"<=>\", [\"lying\", 3], [\"->\", [\"and\", [\"telling-truth\", 5], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]]]], [\"->\", [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 2]], [\"->...
{"split": "train", "index": 13878}
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: Benjamin, Sebastian, Oliver, Amelia, Penelope, Emma, Owen, Elizabeth, and James. Benjamin expressed that if ((Elizabeth is a devil and Sebastian is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 545, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"ly...
{"split": "train", "index": 13879}
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: Avery, Jack, Penelope, Elizabeth, Harper, Aria, Lily, Evelyn, and Joseph. Avery stated, \"Lily is a laggard\". \"Joseph is a laggard\" - Jack. ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 546, \"statements\": [[\"not\", [\"telling-truth\", 6]], [\"lying\", 8], [\"not\", [\"->\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 7], [\"lying\", 8]]]], [\"<=>\", [\"and\", [\"lying\", 5], [\"not\", [\"tellin...
{"split": "train", "index": 13880}
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: Chloe, Ella, Ethan, Riley, Mia, Aiden, Evelyn, Alexander, and Lucas. According to Chloe, \"((if Ella is a hero then Evelyn is a hero) and (if Aiden i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 547, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"->\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"lying\", 1]]], [\"and\", [\"->\", [...
{"split": "train", "index": 13881}
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, Lily, Samuel, Emma, Matthew, Sofia, Mason, Lucas, and Aiden. Benjamin asserted: \"(it is not the case that (Lily is a saint or Emma is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 548, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"lying\", 8], [\"lying\", 6]]]], [\"not\", [\"lying\", 5]], [\"or\", [\"or\", [\...
{"split": "train", "index": 13882}
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: Avery, Noah, Joseph, Grace, Jackson, Amelia, Victoria, Benjamin, and Mia. Avery remarked, \"(it is not the case that (Benjamin is a pioneer or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 549, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"and\", [\"lying\", 6], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]]]], [\"and\", [\"or\", [\"->\", [\"lying\", 5], [\"...
{"split": "train", "index": 13883}
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: Oliver, Scarlett, Liam, Jacob, Amelia, Logan, Henry, Riley, and Abigail. \"((Scarlett is a villain and Scarlett is a hero) if and only if (Riley is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 550, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 6]], [\"or\", [\"telling-truth\", ...
{"split": "train", "index": 13884}
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: Henry, Mason, Aurora, Chloe, Lucas, Michael, Sebastian, Emma, and Daniel. Henry said, \"it is not the case that ((Mason is a fool) and (Daniel is a sage an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 551, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4]]]], [\"or\", [\"telling-truth\", 3], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-t...
{"split": "train", "index": 13885}
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: Mia, Michael, Ava, Lily, Aurora, Emily, Samuel, Jacob, and Noah. In a statement by Mia: \"((Samuel is a laggard or Michael is a laggard) and (N...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 552, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 1]], [\"or\", [\"lying\", 8], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]]]], [\"or\", [\"telling-truth\",...
{"split": "train", "index": 13886}
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: Noah, Oliver, Joseph, Lucas, David, Isabella, Harper, Ethan, and Riley. Noah told you that Lucas is an angel. Oliver asserted: \"(Noah is an angel and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 553, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"lying\", 7]], [\"or\", [\"and\", [\"lying\", 4], [\"or\", [\"telling-truth...
{"split": "train", "index": 13887}
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: Ava, Alexander, Zoey, Aria, Luke, Jack, Aiden, Ethan, and Mia. \"if Aiden is a pioneer then (it is not the case that (Ethan is a laggard if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 554, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]]]], [\"not\", [\"lying\", 4]], [\"not\", [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 5]], [\"->\", [\"lying\"...
{"split": "train", "index": 13888}
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: Ella, Henry, Sebastian, Olivia, Charlotte, Joseph, Aria, Mason, and Penelope. Ella was heard saying, \"(Olivia is a knight if and only if Mason is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 555, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"lying\", 1]], [\"<=>\", [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"ly...
{"split": "train", "index": 13889}
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: Harper, Aiden, Elizabeth, Chloe, Avery, Henry, Charlotte, Zoey, and Abigail. Harper noted, \"Henry is a knight\". Aiden asserted: \"(it is not the ca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 556, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"not\", [\"or\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 7]]]...
{"split": "train", "index": 13890}
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, Liam, Chloe, Sebastian, Riley, Victoria, Ava, Noah, and Logan. Daniel stated, \"Ava is a hero\". Liam commented, \"Riley is a villain\". Chlo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 557, \"statements\": [[\"telling-truth\", 6], [\"lying\", 4], [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 6]]], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]], [\"or\", [\"lying\", 6], [\"lying\", 5]]]...
{"split": "train", "index": 13891}
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, Avery, Noah, Mason, Sophia, Abigail, Luke, Jack, and Emily. In a statement by Michael: \"Sophia is an altruist\". According to Avery, ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 558, \"statements\": [[\"not\", [\"lying\", 4]], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 8]], [\"lying\", 4]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-trut...
{"split": "train", "index": 13892}
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: William, Elizabeth, Victoria, Mason, Emma, Isabella, Scarlett, Sophia, and Zoey. According to William, \"Mason is an egoist\". In a statement b...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 559, \"statements\": [[\"lying\", 3], [\"telling-truth\", 2], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"telling-truth\", 0]], [\"or\", [\"lying\", 7], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"l...
{"split": "train", "index": 13893}
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, Emily, Joseph, Lucas, Sofia, Amelia, Emma, Jackson, and Lily. \"((if Jackson is a hero then Amelia is a villain) and (Elizabeth is a hero ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 560, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 5]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 5]], [\"->\", [\"l...
{"split": "train", "index": 13894}
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: Ava, Joseph, Oliver, Ethan, Evelyn, Lily, Sofia, Benjamin, and Charlotte. Ava stated, \"if ((Charlotte is a laggard if and only if Ava is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 561, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"and\", [\"lying\", 6], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 7]], [\"->\", [\"telling-truth\", 1]...
{"split": "train", "index": 13895}
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: Lily, James, Jack, Elizabeth, Benjamin, Lucas, Avery, Jacob, and Ethan. According to Lily, \"((if Lucas is a villain then Jacob is a hero) and (Eliza...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 562, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 7]], [\"and\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"and\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]...
{"split": "train", "index": 13896}
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: Victoria, Abigail, Noah, Sebastian, Ethan, Isabella, Aria, Emily, and Amelia. According to Victoria, \"Isabella is a sage\". \"(Ethan is a fool) and ((if I...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 563, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"->\", [\"lying\", 5], [\"lying\", 6]], [\"and\", [\"telling-truth\", 5], [\"lying\", 0]]]], [\"->\", [\"not\", [\"->\", [\...
{"split": "train", "index": 13897}
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: Ava, Jack, Noah, Charlotte, Elizabeth, Amelia, Benjamin, Lily, and Evelyn. Ava asserted: \"((if Lily is a villain then Amelia is a hero) or (Charlott...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 564, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]], [\"or\", [\"lying...
{"split": "train", "index": 13898}
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: Benjamin, Mia, Scarlett, Victoria, Isabella, Daniel, Lily, Grace, and Henry. Benjamin said that ((Scarlett is a fool) or Mia is a fool) or ((Lily is a fool...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 565, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 1]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"and\", [\"<=>\", ...
{"split": "train", "index": 13899}