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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jacob, Avery, Victoria, Mia, Joseph, Isabella, Ava, Michael, and Abigail. \"Victoria is a sage,\" Jacob declared. Avery remarked, \"(Mia is a fool and Isab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 910, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 5], [\"lying\", 8]], [\"not\", [\"lying\", 8]]], [\"not\", [\"->\", [\"lying\", 6], [\"lying\", 5]]], [\"not\", [\"and\", [\"lyin...
{"split": "train", "index": 9800}
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: Owen, Alexander, Henry, Harper, Chloe, Riley, Lucas, Liam, and Ethan. According to Owen, \"(Chloe is a fool if and only if Alexander is a sage) and (if Lia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 911, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"telling-truth\", 2], [\...
{"split": "train", "index": 9801}
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: Mason, Owen, Emma, Aurora, Penelope, Jack, Evelyn, Matthew, and Amelia. According to Mason, \"(if Aurora is a pioneer then Matthew is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 912, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"or\", [\"telli...
{"split": "train", "index": 9802}
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: Avery, Elizabeth, Charlotte, William, Benjamin, David, Ethan, Sophia, and Samuel. According to Avery, \"if (Elizabeth is an angel) then (David is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 913, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 5]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"not\", [\...
{"split": "train", "index": 9803}
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, Sebastian, Henry, Ethan, Luke, Mia, Avery, Evelyn, and Aria. Olivia said, \"(Avery is a hero if and only if Aria is a villain) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 914, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"telling-truth...
{"split": "train", "index": 9804}
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, Daniel, Avery, Evelyn, Lucas, Elizabeth, Ava, Mason, and Logan. \"if (Elizabeth is a knight if and only if Daniel is a knave) then (Logan is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 915, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 1]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"telling-truth\", 2], [\"<=>\", [\"lying\", 3], [\"->\", [...
{"split": "train", "index": 9805}
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: Ella, Harper, Isabella, Penelope, Jacob, Aurora, Jackson, William, and Ava. In a statement by Ella: \"Penelope is an altruist\". Harper comment...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 916, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"or\", [\"lying\", 5], [\"lying\",...
{"split": "train", "index": 9806}
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: Sebastian, Elizabeth, Liam, Emily, Harper, Mia, Emma, Ethan, and James. In a statement by Sebastian: \"(if Harper is a knight then Mia is a knave) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 917, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 5]], [\"lying\", 5], [\"lying\", 8]], [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"not\", [\"t...
{"split": "train", "index": 9807}
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: Elizabeth, Aurora, Jackson, Oliver, Luke, Grace, Victoria, Abigail, and Samuel. \"(Oliver is a fool) or (if Abigail is a fool then Victoria is a sage),\" E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 918, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"telling-truth\", 7], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"tellin...
{"split": "train", "index": 9808}
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: Samuel, Daniel, Evelyn, Aurora, Benjamin, Ella, Emily, Olivia, and Avery. Samuel noted, \"(Emily is a villain if and only if Aurora is a villain) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 919, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 3]], [\"not\", [\"lying\", 6]], [\"or\", [\"telling-truth\", 5], [\"lying\", 1], [\"lying\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]...
{"split": "train", "index": 9809}
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: Isabella, David, Mia, Henry, Elizabeth, Emma, William, Samuel, and Olivia. \"(Samuel is a devil or Henry is a devil or Emma is a devil) or (Henry is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 920, \"statements\": [[\"or\", [\"or\", [\"lying\", 7], [\"lying\", 3], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 6], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\...
{"split": "train", "index": 9810}
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, Emma, Aria, Elizabeth, Aurora, Emily, David, Isabella, and Luke. \"Aria is a saint and Elizabeth is a sinner\" - Riley. \"(Aria is a sinner or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 921, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 3]], [\"lying\", 0]], [\"telling-truth\", 0], [\"telling-truth\", 6], [\"telling-truth\", ...
{"split": "train", "index": 9811}
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: Evelyn, Isabella, Ethan, Aria, Ava, Alexander, Charlotte, Scarlett, and Sebastian. \"Alexander is a sinner or (Isabella is a sinner or Ethan is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 922, \"statements\": [[\"or\", [\"lying\", 5], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"lying\", 2]], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth...
{"split": "train", "index": 9812}
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: Aiden, Oliver, Logan, Harper, Aurora, Zoey, Sophia, Owen, and Victoria. Aiden stated, \"if (Logan is a villain) then (if Sophia is a villain then Log...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 923, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 6], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\...
{"split": "train", "index": 9813}
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, Aurora, David, Michael, Emma, Abigail, Joseph, Liam, and Henry. As Zoey put it, \"(Zoey is a saint or Henry is a saint or Henry is a sinner) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 924, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8], [\"lying\", 8]], [\"or\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"->\", [\"telling-truth\", 1], [\"->\", [\"lying\", 4], [\"lying\",...
{"split": "train", "index": 9814}
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, Ethan, Lucas, Abigail, Amelia, Avery, Mia, Emily, and William. Joseph said, \"Ethan is a villain.\" Ethan noted, \"Lucas is a villain if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 925, \"statements\": [[\"lying\", 1], [\"<=>\", [\"lying\", 2], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"and\", [\"lying\", 6], [\"lying\", 7]]], [\"<=>\", [\"<...
{"split": "train", "index": 9815}
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: Sophia, David, Harper, Jack, Scarlett, Lucas, Daniel, Mia, and Noah. Sophia was heard saying, \"(David is a sinner) or Scarlett is a sinner\". David ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 926, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 4]], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"or\", [\"lying\", 0], [\"not\", [\"...
{"split": "train", "index": 9816}
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: Evelyn, Olivia, Owen, Mia, Charlotte, Riley, Emily, Noah, and Elizabeth. Evelyn told you that if (Riley is an egoist if and only if Olivia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 927, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 5], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 5]]], [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"->\", [\"not...
{"split": "train", "index": 9817}
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, James, Oliver, Charlotte, William, Mia, Ava, Luke, and Jackson. Sofia remarked, \"if (William is a villain) then (Oliver is a hero)\". In Jame...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 928, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\...
{"split": "train", "index": 9818}
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, Ethan, Mia, Alexander, William, Amelia, Isabella, Ava, and Oliver. Lucas was heard saying, \"Isabella is a sage\". \"(Lucas is a fool) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 929, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 7], [\"lying\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"->\", [\"not\", [\"...
{"split": "train", "index": 9819}
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, Jackson, Samuel, Zoey, Alexander, Lucas, Ethan, Jacob, and Joseph. In a statement by Ava: \"if (Jackson is a sinner and Ethan is a saint) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 930, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"or\...
{"split": "train", "index": 9820}
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: Luke, Mia, Joseph, Chloe, Mason, Emily, Abigail, Daniel, and Noah. Luke commented, \"Mia is a saint\". Mia was heard saying, \"it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 931, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 0], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\...
{"split": "train", "index": 9821}
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, Mia, David, Sebastian, Avery, Liam, Sophia, Riley, and Emily. Daniel expressed that David is a knight. Mia said, \"(Daniel is a knight or Sop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 932, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"not\", [\"lying\", 3]]], [\"lying\", 4], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 5]], [\"->\", ...
{"split": "train", "index": 9822}
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, Lily, Amelia, Joseph, Samuel, Jack, Jackson, Logan, and Sofia. David stated, \"(if Joseph is a sage then Jackson is a sage) and Lily is a fool\". In...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 933, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"lying\", 1]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 5]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 5]]], [\"tel...
{"split": "train", "index": 9823}
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: Joseph, Sophia, Luke, Victoria, Charlotte, Elizabeth, Jack, Sebastian, and Liam. According to Joseph, \"Jack is a devil\". Sophia expressed that if (Li...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 934, \"statements\": [[\"lying\", 6], [\"->\", [\"and\", [\"lying\", 8], [\"lying\", 2]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\",...
{"split": "train", "index": 9824}
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: Abigail, Lily, Olivia, Riley, Evelyn, Isabella, Penelope, Aiden, and Lucas. According to Abigail, \"(Olivia is a villain or Lucas is a hero or Olivia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 935, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 8]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"tellin...
{"split": "train", "index": 9825}
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, Amelia, Emily, Aiden, William, Jackson, Matthew, Mia, and Ava. Harper said that William is a saint. Amelia said, \"William is a sinner.\" Emi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 936, \"statements\": [[\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 1], [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"no...
{"split": "train", "index": 9826}
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, Alexander, Amelia, Isabella, Elizabeth, Samuel, James, Henry, and Aria. Ella commented, \"(Henry is a knave) and (James is a knight or Henry is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 937, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"telling-truth\", 5], [\"lying\", 4], [\"not\", [\"<=>\", [\"lying\", 6], ...
{"split": "train", "index": 9827}
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, Liam, Oliver, Samuel, Victoria, Sebastian, James, Grace, and Owen. Benjamin told you that it is not the case that (if Oliver is a villain t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 938, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"telling-truth\", 5], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"not\", [\"lying\", 7]], [\"o...
{"split": "train", "index": 9828}
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: Isabella, Harper, Benjamin, Riley, Sophia, Sofia, Noah, Michael, and Oliver. \"(Michael is a pioneer or Noah is a laggard or Riley is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 939, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 6], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"lying\", 8], [\"->\", [\"lying\", 3], [\"or\", [\"lying\",...
{"split": "train", "index": 9829}
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: Aiden, Ava, Elizabeth, Sebastian, Chloe, Emily, Oliver, Matthew, and Alexander. Aiden expressed that (Chloe is an egoist if and only if Oliver ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 940, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 6]], [\"not\", [\"lying\", 1]], [\"telling-truth\", 3]], [\"telling-truth\", 0], [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 7], [\"telling-truth\...
{"split": "train", "index": 9830}
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: Grace, Matthew, Sofia, Samuel, Olivia, Jacob, David, Mia, and Mason. Grace expressed that Sofia is a knight. Matthew was heard saying, \"if (Matthew ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 941, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"telling-truth\", 6]], [\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 0], [\"lyi...
{"split": "train", "index": 9831}
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, Ethan, Joseph, Lily, Mason, Abigail, Liam, Elizabeth, and Samuel. Aiden remarked, \"(Mason is an angel) or (Mason is an angel and Joseph is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 942, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"or\", [\"lying\", 2], [\"lying\", 6],...
{"split": "train", "index": 9832}
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: Michael, Scarlett, Victoria, Jack, Jackson, William, Daniel, Logan, and Aria. \"William is a laggard,\" Michael declared. \"(if Logan is a lagg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 943, \"statements\": [[\"lying\", 5], [\"<=>\", [\"->\", [\"lying\", 7], [\"telling-truth\", 1]], [\"telling-truth\", 5]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 3], [\"lying\", 8]]], [\"->\", [\"->\", [\"telli...
{"split": "train", "index": 9833}
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: Emma, Sebastian, Liam, Zoey, Grace, Abigail, Harper, Aurora, and Benjamin. Emma expressed that Aurora is a villain. Sebastian stated, \"(Sebastian is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 944, \"statements\": [[\"lying\", 7], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 6]], [\"->\", [\"lying\", 2], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 7]], [\"->\", [\"lyi...
{"split": "train", "index": 9834}
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: Emily, Charlotte, David, Mason, Sophia, Aiden, Jack, Luke, and Harper. As Emily put it, \"(David is a sage and Emily is a sage) and (Jack is a sage and Cha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 945, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"->\",...
{"split": "train", "index": 9835}
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, Matthew, Aurora, Jacob, Ava, Elizabeth, Abigail, Owen, and Aiden. In Amelia's words: \"if (Jacob is a saint or Abigail is a saint) then (if M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 946, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", ...
{"split": "train", "index": 9836}
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, Michael, Alexander, Jacob, Liam, Daniel, Penelope, Logan, and Olivia. Aurora expressed that Michael is an egoist and (Daniel is an egoi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 947, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"lying\", 5], [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 5]], [\"or\", [\"telling-truth\", 0], [\"lying\...
{"split": "train", "index": 9837}
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: Abigail, Jacob, James, Charlotte, Aria, Joseph, Sofia, Michael, and Emily. According to Abigail, \"(Aria is a sinner or Emily is a sinner or Sofia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 948, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 6]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth...
{"split": "train", "index": 9838}
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: Oliver, Mason, Henry, Samuel, Lucas, Liam, Aria, Riley, and Chloe. Oliver remarked, \"it is not the case that (if Chloe is a sage then Liam is a sage)\". \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 949, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 6], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], ...
{"split": "train", "index": 9839}
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, Aurora, Henry, Aria, Owen, Olivia, Luke, Benjamin, and William. According to Samuel, \"(William is a knave) if and only if (Olivia is a knigh...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 950, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 8]]], [\"<=...
{"split": "train", "index": 9840}
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: Victoria, Matthew, Lucas, Evelyn, Isabella, Owen, Harper, Riley, and Michael. Victoria was heard saying, \"Michael is an altruist\". Matthew re...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 951, \"statements\": [[\"telling-truth\", 8], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 5]], [\"lying\", 4]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"<=>\", [\"lyi...
{"split": "train", "index": 9841}
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: Daniel, William, Luke, Chloe, Owen, Elizabeth, Emma, Avery, and Sofia. \"if (Elizabeth is a devil and Emma is an angel) then Luke is an angel,\" Daniel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 952, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 6]], [\"telling-truth\", 2]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 5], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 2], [\"lying\"...
{"split": "train", "index": 9842}
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: Liam, Logan, Samuel, Daniel, Alexander, William, Sophia, Scarlett, and Benjamin. Liam commented, \"if (Daniel is an egoist) then (Daniel is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 953, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"lying\", 1], [\"and\", [\"or\", [\"lying\", 7], [\"lying\", 8], [\"...
{"split": "train", "index": 9843}
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: Ava, Ethan, Logan, William, Sofia, Matthew, Sebastian, Noah, and Liam. \"(William is a knight) and (Liam is a knight and Ethan is a knight and Sofia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 954, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 8], [...
{"split": "train", "index": 9844}
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, Sebastian, Owen, Alexander, Chloe, Evelyn, Aria, Joseph, and Jack. Avery said that (Avery is a villain) if and only if (if Sebastian is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 955, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 7], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"...
{"split": "train", "index": 9845}
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, Michael, Joseph, Aiden, Charlotte, Emma, Logan, Zoey, and Chloe. \"(Charlotte is a fool or Aiden is a sage or Charlotte is a sage) or (Zoey is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 956, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 5]], [\"not\",...
{"split": "train", "index": 9846}
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, Avery, Chloe, David, Amelia, Grace, Matthew, Luke, and Sofia. Michael remarked, \"Amelia is a sinner\". Avery commented, \"Amelia is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 957, \"statements\": [[\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"not\", [\"lying\", 7]], [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 4]], [\"...
{"split": "train", "index": 9847}
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: Amelia, Avery, Liam, Zoey, Oliver, Ava, Sebastian, Sophia, and David. In a statement by Amelia: \"Sebastian is a villain if and only if (David is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 958, \"statements\": [[\"<=>\", [\"lying\", 6], [\"not\", [\"lying\", 8]]], [\"or\", [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\...
{"split": "train", "index": 9848}
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, Jackson, Zoey, William, Scarlett, Grace, Riley, Emily, and Luke. \"(William is a knave) if and only if (Luke is a knave if and only if Scarle...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 959, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 8], [\"lying\", 4]]], [\"not\", [\"lying\", 6]], [\"and\", [\"telling-truth\", 8], [\"and\", [\"lying\", 6], [\"telling-truth\", 2]]], [\...
{"split": "train", "index": 9849}
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: Lily, Ella, Sophia, Penelope, Olivia, Alexander, Benjamin, Evelyn, and Emily. Lily noted, \"Ella is a fool or (if Emily is a sage then Penelope is a sage) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 960, \"statements\": [[\"or\", [\"lying\", 1], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 6], [\"lying\", 5], [\"telling-t...
{"split": "train", "index": 9850}
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: Mason, Grace, Ava, William, Abigail, Benjamin, Jackson, Jacob, and Emma. According to Mason, \"it is not the case that (if Jackson is a fool then Jacob is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 961, \"statements\": [[\"not\", [\"->\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 8], [\"telling-truth\", 4]], [\"or\", [\"lying\", 8], [\"telling-truth\", 5], [\"lying\"...
{"split": "train", "index": 9851}
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: Grace, Ava, Jack, Luke, Elizabeth, Samuel, Oliver, Sebastian, and Olivia. In Grace's words: \"(Grace is an angel if and only if Ava is an angel) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 962, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"->\", [\"<=...
{"split": "train", "index": 9852}
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: Alexander, Jackson, Sophia, Sofia, Owen, Matthew, Abigail, Jacob, and David. Alexander said that Matthew is a fool or (Owen is a sage and Matthew is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 963, \"statements\": [[\"or\", [\"lying\", 5], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5], [\"lying\", 7]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [...
{"split": "train", "index": 9853}
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, Luke, Owen, Emma, Logan, Grace, Penelope, Joseph, and Zoey. \"Logan is a knight\" - Abigail. As Luke put it, \"(Zoey is a knave or Emma is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 964, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 6], [\"lying\", 0], [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-truth\"...
{"split": "train", "index": 9854}
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: Jackson, Victoria, Harper, William, Aiden, Lucas, Owen, Isabella, and Joseph. According to Jackson, \"(Lucas is an angel or Aiden is a devil or Joseph ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 965, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 4], [\"lying\", 8]], [\"and\", [\"lying\", 3], [\"lying\", 8], [\"telling-truth\", 6]]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"telling-truth...
{"split": "train", "index": 9855}
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: Owen, Noah, Scarlett, Olivia, Jack, Lucas, Amelia, Sophia, and Aria. Owen noted, \"(if Aria is an angel then Jack is a devil) if and only if (Sophia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 966, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 4]], [\"and\", [\"lying\", 7], [\"telling-truth\", 7], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"not\...
{"split": "train", "index": 9856}
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: Matthew, Jack, Amelia, Aria, Isabella, Evelyn, Alexander, Lucas, and Luke. Matthew noted, \"it is not the case that (Jack is a devil)\". Jack said, \"A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 967, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"not\", [\"or\", [\"lying\", 8], [\"lying\", 0], [\"lying\", 3]]], [\"and\", [\"telling-truth\", 7], [\"->\", [\"lying\", 0], [\"tel...
{"split": "train", "index": 9857}
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: Zoey, Chloe, Evelyn, Oliver, Ella, Joseph, Sebastian, Avery, and Samuel. In Zoey's words: \"it is not the case that (if Ella is a knight then Ella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 968, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 6], [\"lying\", 8], [\"telling-truth\", 1]], [\"lying\", 2]], [\"or\", [\"lying\", 8], [\"or\", [\"lying\", 3], ...
{"split": "train", "index": 9858}
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, Amelia, Benjamin, Jackson, Abigail, Riley, Elizabeth, Emily, and Chloe. James commented, \"(Jackson is a laggard and Abigail is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 969, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 5]]], [\"telling-truth\", 2], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 1]], [\"or\", [\"telling-truth\", 7], ...
{"split": "train", "index": 9859}
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: Noah, Sebastian, Joseph, Daniel, Abigail, Aiden, Emma, David, and Sofia. According to Noah, \"(Joseph is a villain or Aiden is a villain) and (if Dan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 970, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 2]], [\"<=>\",...
{"split": "train", "index": 9860}
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, Victoria, David, Liam, Jacob, Samuel, Ava, Jackson, and Benjamin. Harper expressed that if (Samuel is a knave or Jackson is a knight or Jacob...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 971, \"statements\": [[\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 7], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"and\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 6], [\...
{"split": "train", "index": 9861}
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: Grace, Samuel, Mia, Lily, Emma, Charlotte, Ethan, Aria, and Lucas. In a statement by Grace: \"(if Emma is a devil then Emma is an angel) or (Aria is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 972, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]]], ...
{"split": "train", "index": 9862}
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, Riley, Liam, Chloe, Zoey, William, Noah, Ava, and Ella. According to Sophia, \"William is a knight or (Ella is a knave if and only if Noah is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 973, \"statements\": [[\"or\", [\"telling-truth\", 5], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"lying\", 8], [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 5]...
{"split": "train", "index": 9863}
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: Samuel, Sebastian, Luke, Jacob, Matthew, Chloe, Henry, Emily, and Sophia. Samuel told you that (Matthew is a villain and Matthew is a hero) or (if Se...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 974, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 7]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"<=>\", [\"and\"...
{"split": "train", "index": 9864}
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: Owen, William, Lily, Mason, Elizabeth, Harper, Samuel, Aurora, and Riley. Owen said, \"(Lily is a saint) or (Samuel is a sinner if and only if Willia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 975, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 6], [\"lying\", 1]], [\"telling-truth\", 3]], [\"telling-truth\", 7], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 7]]], [\"...
{"split": "train", "index": 9865}
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: Jackson, Ella, Noah, Joseph, Chloe, Logan, Luke, Jacob, and Sophia. \"it is not the case that (Noah is a devil or Sophia is a devil),\" Jackson claimed...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 976, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"lying\", 8]]], [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 6]], [\"or\", [\"lying\", 5], [\"telling-truth\", 2], [\"lying\", 8]], [\"not\", [\"telling-truth\", 3]]...
{"split": "train", "index": 9866}
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, Ava, Jackson, Aiden, Michael, Luke, Mason, Chloe, and Benjamin. \"Jackson is an angel\" - Victoria. \"(Luke is a devil if and only if Michael...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 977, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 4], [...
{"split": "train", "index": 9867}
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: Jacob, Elizabeth, Sebastian, Alexander, Joseph, Mia, Daniel, Emma, and Sophia. Jacob asserted: \"if (if Alexander is a sage then Sophia is a fool) then (El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 978, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 8]]], [\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"...
{"split": "train", "index": 9868}
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: Jackson, Charlotte, Samuel, Luke, Liam, Abigail, Amelia, William, and Sophia. \"Samuel is a pioneer,\" Jackson declared. According to Charlotte...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 979, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"or\", [\"lying\", 6], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]]], [\"telling-truth\", 8], [\"lying\", 2], [\"and\", [\"not\", [\"lying\...
{"split": "train", "index": 9869}
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: Alexander, Sebastian, James, Elizabeth, Harper, Samuel, Daniel, Ella, and Owen. In a statement by Alexander: \"Ella is a fool\". According to Sebastian, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 980, \"statements\": [[\"lying\", 7], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 5]], [\"not\", [\"lying\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"or\", [\"lying\", 0], [\"tell...
{"split": "train", "index": 9870}
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, Lucas, Ava, Elizabeth, Mason, Oliver, Aria, Avery, and Owen. Abigail noted, \"Elizabeth is a pioneer\". Lucas asserted: \"Ava is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 981, \"statements\": [[\"not\", [\"lying\", 3]], [\"telling-truth\", 2], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying...
{"split": "train", "index": 9871}
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: Abigail, Olivia, Henry, Jacob, Emily, Daniel, Luke, Mason, and Jackson. \"Jackson is a villain,\" Abigail mentioned. \"it is not the case that (Henry...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 982, \"statements\": [[\"lying\", 8], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 7], [\"lying\", 4]], [\"or\", [\"telling-trut...
{"split": "train", "index": 9872}
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: Charlotte, Ethan, David, Logan, Noah, Emma, Jacob, Scarlett, and Sophia. Charlotte asserted: \"Noah is an altruist\". Ethan noted, \"Sophia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 983, \"statements\": [[\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 8]], [\"lying\", 5], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"->\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"->\", [\"->\...
{"split": "train", "index": 9873}
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: Jackson, Evelyn, Mia, Olivia, David, Oliver, Scarlett, Avery, and Aria. Jackson said that if (Aria is an altruist and Evelyn is an egoist) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 984, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 1]], [\"not\", [\"telling-truth\", 7]]], [\"lying\", 6], [\"telling-truth\", 3], [\"lying\", 4], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"tell...
{"split": "train", "index": 9874}
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: Ella, Charlotte, Michael, James, Samuel, William, Amelia, Liam, and Chloe. Ella said, \"if (Amelia is a sinner or Michael is a saint or Samuel is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 985, \"statements\": [[\"->\", [\"or\", [\"lying\", 6], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telli...
{"split": "train", "index": 9875}
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, Harper, Grace, Elizabeth, Jacob, Abigail, Sebastian, Jack, and Jackson. Olivia told you that (Grace is a villain) if and only if Abigail is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 986, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 5]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"telling-truth\", 1], [\"<=>\", [\"t...
{"split": "train", "index": 9876}
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, Penelope, Michael, Mason, Henry, Aurora, Ethan, James, and Sebastian. In Benjamin's words: \"if (Henry is a villain and Penelope is a hero ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 987, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"and\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 4]],...
{"split": "train", "index": 9877}
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: Riley, Sofia, Evelyn, Oliver, William, Luke, Zoey, Mason, and Logan. Riley commented, \"Evelyn is a pioneer\". \"(Mason is a pioneer or Evelyn ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 988, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 8], [\"lying\", 7], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth...
{"split": "train", "index": 9878}
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: Riley, Amelia, Alexander, Penelope, Elizabeth, Owen, Michael, Emma, and Logan. Riley asserted: \"Penelope is a sage\". According to Amelia, \"Michael is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 989, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"telling-truth\", 6], [\"not\", [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"tellin...
{"split": "train", "index": 9879}
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: David, Amelia, Luke, Sophia, Michael, Lucas, Aurora, Mia, and Henry. \"if David is a pioneer then (Sophia is a pioneer or Mia is a pioneer)\" -...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 990, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"telling-truth\", 6], [\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 0], [\"lying\", 8]], [\"or\", [\"...
{"split": "train", "index": 9880}
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, James, Henry, Emma, Harper, Mason, Aiden, Emily, and Matthew. In Jack's words: \"James is an egoist\". James was heard saying, \"(Matthew...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 991, \"statements\": [[\"lying\", 1], [\"and\", [\"or\", [\"telling-truth\", 8], [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"not\...
{"split": "train", "index": 9881}
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: William, Jacob, Owen, Matthew, Zoey, Amelia, Alexander, Penelope, and Noah. In William's words: \"it is not the case that (Jacob is a villain or Owen...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 992, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 5], [\"<=>\", [\"lying\", 0], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and...
{"split": "train", "index": 9882}
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: Sebastian, Joseph, Chloe, Elizabeth, Luke, Mason, Emma, Jacob, and Olivia. Sebastian told you that Luke is a saint if and only if (if Olivia is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 993, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\...
{"split": "train", "index": 9883}
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, Oliver, Owen, Luke, Amelia, Mia, Harper, Lily, and Evelyn. Abigail remarked, \"(Lily is a pioneer and Harper is a laggard) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 994, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 6]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"lying\", 7], [\"->\...
{"split": "train", "index": 9884}
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: Elizabeth, Emma, Joseph, Emily, Abigail, Amelia, Aiden, Oliver, and Mia. Elizabeth remarked, \"Abigail is an altruist\". As Emma put it, \"(Aid...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 995, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 6], [\"lying\", 3], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"lying\", 2]]], [\"or\", ...
{"split": "train", "index": 9885}
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: Sebastian, Abigail, Henry, Isabella, Sofia, Noah, Samuel, David, and Joseph. In a statement by Sebastian: \"Noah is a laggard\". Abigail stated...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 996, \"statements\": [[\"lying\", 5], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"->\", [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\...
{"split": "train", "index": 9886}
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: Charlotte, James, Harper, Elizabeth, Ethan, Chloe, Amelia, Luke, and Joseph. According to Charlotte, \"Elizabeth is a villain\". As James put it, \"(...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 997, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\...
{"split": "train", "index": 9887}
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, Oliver, Alexander, Henry, William, David, Elizabeth, Grace, and Mia. Amelia said, \"(Amelia is a sinner) or (Alexander is a saint if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 998, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 2], [\"telling-truth\", 6]], [\"not\", [\"tell...
{"split": "train", "index": 9888}
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: Zoey, Daniel, Elizabeth, Avery, Ethan, Liam, Aria, Jacob, and Sophia. Zoey said, \"(Avery is a knight and Jacob is a knight and Jacob is a knave) if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 999, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 7], [\"lying\", 7]], [\"and\", [\"lying\", 6], [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 1], [\"and\", [\"tell...
{"split": "train", "index": 9889}
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: Lily, Samuel, Owen, Elizabeth, Chloe, Avery, Sophia, Victoria, and Emma. Lily noted, \"Chloe is a sage if and only if (Lily is a fool)\". \"if (Sophia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1000, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 1]], [\"and\", [\"lying\", 5], [\"telling-truth\", 5], [\"telling-truth\", 4]]...
{"split": "train", "index": 9890}
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: Abigail, Joseph, Mia, James, Alexander, Aiden, Emily, Jacob, and Logan. In Abigail's words: \"Emily is a fool and (Abigail is a sage and James is a sage an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1001, \"statements\": [[\"and\", [\"lying\", 6], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 2], ...
{"split": "train", "index": 9891}
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: Ella, Matthew, Oliver, Sophia, Victoria, Logan, James, Mason, and Amelia. Ella said, \"if (Matthew is a saint or James is a saint) then Amelia is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1002, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"telling-truth\", 8]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"not\", [\"lying\", 6]], [\"<=>\", [\"-...
{"split": "train", "index": 9892}
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, Abigail, Henry, Ava, Charlotte, Sophia, Sofia, Logan, and Scarlett. \"(Sofia is a knight and Logan is a knave) or (Ava is a knight if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1003, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 4]]...
{"split": "train", "index": 9893}
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, Aria, Sophia, Isabella, Lucas, Luke, David, Mia, and Emma. \"(Mia is an angel if and only if Luke is a devil) if and only if (if Luke is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1004, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 5]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"telling-truth\"...
{"split": "train", "index": 9894}
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, Chloe, Evelyn, Riley, Sophia, Alexander, Emily, Liam, and Sofia. \"(Sophia is a knave if and only if Chloe is a knight) if and only if (Emily...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1005, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 6], [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 6], [\"telli...
{"split": "train", "index": 9895}
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: Emma, Riley, Evelyn, Henry, Benjamin, Samuel, Chloe, Joseph, and Alexander. \"it is not the case that (Joseph is a laggard and Chloe is a lagga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1006, \"statements\": [[\"not\", [\"and\", [\"lying\", 7], [\"lying\", 6], [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"lying\", 5]], [\"not\", [\"or\", [\"telling-truth\", 5]...
{"split": "train", "index": 9896}
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: Mason, Aurora, Avery, Logan, Joseph, Samuel, Charlotte, David, and Benjamin. As Mason put it, \"(Mason is a pioneer and Benjamin is a pioneer a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1007, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 7]], [\"or\", [\"lying\", 8...
{"split": "train", "index": 9897}
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, Daniel, Riley, Aria, William, Luke, Charlotte, Penelope, and Chloe. Ethan asserted: \"it is not the case that (Riley is an egoist)\". Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1008, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"lying\", 5], [\"not\", [\"lying\", 4]]], [\"and\", [\"telling-truth\", 8], [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 3], [...
{"split": "train", "index": 9898}
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, Harper, Victoria, Lucas, Jackson, Noah, James, Olivia, and Luke. According to Benjamin, \"(if Luke is a fool then Lucas is a sage) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1009, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lyin...
{"split": "train", "index": 9899}