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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Charlotte, Ethan, Liam, Joseph, Owen, Emma, Emily, Amelia, and Benjamin. \"(Liam is a saint or Liam is a sinner) and (if Owen is a saint then Emily i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1032, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]], [\"telling-truth\", 8]],...
{"split": "train", "index": 7700}
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, Avery, Aiden, Elizabeth, Luke, Olivia, Alexander, David, and Lucas. According to Victoria, \"(Alexander is an egoist or Luke is an eg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1033, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 6], [\"telli...
{"split": "train", "index": 7701}
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: Mia, Joseph, Liam, Elizabeth, Daniel, Emily, Scarlett, Riley, and Penelope. \"Daniel is a sinner and (Liam is a sinner if and only if Elizabeth is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1034, \"statements\": [[\"and\", [\"lying\", 4], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", ...
{"split": "train", "index": 7702}
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: Emma, William, Sebastian, Aiden, Samuel, Aurora, Alexander, Matthew, and Avery. Emma stated, \"(Emma is a saint or Aiden is a sinner) and Samuel is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1035, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"lying\", 4]], [\"lying\", 7], [\"lying\", 0], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-tru...
{"split": "train", "index": 7703}
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, Ethan, Isabella, Ella, Aurora, Mia, Joseph, Victoria, and Chloe. \"it is not the case that (Ella is a devil),\" Owen claimed. According to Ethan,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1036, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-...
{"split": "train", "index": 7704}
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, Lucas, Sebastian, Lily, Isabella, Mason, Sofia, Owen, and Noah. Michael said that Michael is a saint or (Sofia is a sinner and Owen is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1037, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"and\", [\"lying\", 6], [\"lying\", 7]]], [\"lying\", 6], [\"telling-truth\", 3], [\"and\", [\"not\", [\"lying\", 7]], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"l...
{"split": "train", "index": 7705}
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, Ethan, Chloe, Luke, Sebastian, Mia, Sophia, Sofia, and Mason. Liam was heard saying, \"(Luke is a knave and Sofia is a knight) or (Mia is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1038, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 7]], [\"and\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 7]], [\"and\", [\"telling-truth\", 2], [\"l...
{"split": "train", "index": 7706}
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, Sofia, Jackson, Emily, Elizabeth, Zoey, Mason, Henry, and Ava. Aiden said, \"(Mason is a hero) if and only if (Mason is a villain or Emily is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1039, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 6]], [\"or\", [\"lying\", 6], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"...
{"split": "train", "index": 7707}
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: Oliver, Lucas, Liam, Ella, Ethan, Sebastian, Emily, Aiden, and Riley. In a statement by Oliver: \"Ethan is a pioneer\". Lucas was heard saying,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1040, \"statements\": [[\"telling-truth\", 4], [\"lying\", 4], [\"<=>\", [\"not\", [\"lying\", 7]], [\"lying\", 1]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6]], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"and\", ...
{"split": "train", "index": 7708}
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: Logan, Owen, Jack, Victoria, Sebastian, Mia, Scarlett, Michael, and Harper. In Logan's words: \"Michael is an egoist if and only if (Scarlett i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1041, \"statements\": [[\"<=>\", [\"lying\", 7], [\"<=>\", [\"lying\", 6], [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"or\", [\"and\", [\...
{"split": "train", "index": 7709}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Henry, Alexander, Noah, Evelyn, Grace, Liam, Ella, Emily, and Amelia. Henry stated, \"(Grace is a saint or Evelyn is a saint) or Ella is a saint\". \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1042, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 6]], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 5], [\"telli...
{"split": "train", "index": 7710}
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, Grace, Liam, Abigail, Sofia, Jackson, Sophia, Evelyn, and Mia. Michael commented, \"(if Jackson is a knave then Evelyn is a knight) and (Lia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1043, \"statements\": [[\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 5],...
{"split": "train", "index": 7711}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Matthew, David, Jackson, Abigail, Aurora, Grace, Penelope, Scarlett, and Chloe. Matthew expressed that if Penelope is a knave then (David is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1044, \"statements\": [[\"->\", [\"lying\", 6], [\"not\", [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"<=>\", [...
{"split": "train", "index": 7712}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Zoey, Joseph, Emily, Amelia, Scarlett, Alexander, Logan, Evelyn, and Benjamin. Zoey said, \"(if Scarlett is an angel then Evelyn is an angel) or (Scarl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1045, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 0]...
{"split": "train", "index": 7713}
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: Harper, Lily, Aiden, Daniel, Matthew, Mia, Alexander, Noah, and Scarlett. According to Harper, \"if (Alexander is a devil and Noah is a devil) then (Mi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1046, \"statements\": [[\"->\", [\"and\", [\"lying\", 6], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"telling-truth\", 4], [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 4]], [\"or\"...
{"split": "train", "index": 7714}
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, Jackson, Michael, Joseph, Alexander, Aurora, Emma, Evelyn, and Avery. Abigail remarked, \"it is not the case that (Alexander is a hero)\". I...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1047, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 6]], [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 5]], [\"<=>\", [...
{"split": "train", "index": 7715}
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, Mia, Emily, David, Noah, Aurora, Jacob, Daniel, and Luke. Ava said that David is a knight. Mia asserted: \"it is not the case that (Mia is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1048, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"lying\", 0], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 3]], [\"->\", [\"->\", [\"telling-trut...
{"split": "train", "index": 7716}
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, Liam, Oliver, Emily, Riley, Joseph, Mason, Charlotte, and Lily. \"Lily is a knave,\" Michael mentioned. \"Lily is a knight,\" Liam declared....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1049, \"statements\": [[\"not\", [\"telling-truth\", 8]], [\"telling-truth\", 8], [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\...
{"split": "train", "index": 7717}
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, Jack, Henry, Mason, William, Elizabeth, Sofia, Jacob, and Zoey. Ava asserted: \"if (Mason is a laggard) then (if Zoey is a laggard then Ma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1050, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 8], [\"lying\", 3]]], [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5]], [\"telling-truth\", 1]], [\"not\", [\"not\", [\"telling-t...
{"split": "train", "index": 7718}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Riley, Logan, Aurora, Jacob, Scarlett, Evelyn, Ava, James, and Amelia. Riley remarked, \"(Ava is an angel and Evelyn is a devil) and (Jacob is a devil ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1051, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 5]], [\"<=>\", [\"lying\", 3], [\"lying\", 7]]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"or\", [\"<=>\", [\"tellin...
{"split": "train", "index": 7719}
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: Ella, Jack, Alexander, Ethan, Logan, Aria, Jackson, Owen, and Emma. Ella said that if Owen is a sage then Jackson is a sage. \"(Aria is a sage and Ethan is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1052, \"statements\": [[\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"and\", [\"or\", [\"tel...
{"split": "train", "index": 7720}
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, Ethan, Emily, Joseph, Sophia, Sebastian, Jack, Riley, and Elizabeth. Aria commented, \"(if Ethan is a knight then Emily is a knight) and (Josep...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1053, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 1]], [\"and\", [\"lying\", ...
{"split": "train", "index": 7721}
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: Sebastian, Oliver, Jackson, Penelope, Charlotte, William, Lily, Benjamin, and Emma. \"it is not the case that (Oliver is an angel or Jackson is a devil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1054, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 0]], [\"telling-truth\", 8], [\"and\", [\"telling-t...
{"split": "train", "index": 7722}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Amelia, Jackson, Emily, Mia, Sophia, Joseph, Harper, Jack, and Sebastian. Amelia noted, \"Jack is an altruist\". Jackson asserted: \"Joseph is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1055, \"statements\": [[\"not\", [\"lying\", 7]], [\"or\", [\"lying\", 5], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"lying\", 1], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-tr...
{"split": "train", "index": 7723}
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: Lily, Lucas, Samuel, Emma, Aurora, Ethan, Penelope, Mia, and Sofia. Lily noted, \"(if Penelope is a devil then Mia is an angel) or (Lily is an angel an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1056, \"statements\": [[\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"or\", [\"lyi...
{"split": "train", "index": 7724}
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, William, Aurora, Olivia, Zoey, Jackson, Scarlett, Oliver, and James. \"if (Zoey is a hero if and only if Oliver is a villain) then Benjamin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1057, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]], [\"telling-truth\", 0]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 6]]], [\"telling-truth\", 3], [\"->\", [\"or\", [\"telling-tru...
{"split": "train", "index": 7725}
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, Abigail, Mason, Liam, Chloe, Aria, Jack, Benjamin, and Noah. Henry noted, \"(Liam is a villain and Noah is a hero) or Jack is a hero\". Abigai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1058, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 8]], [\"telling-truth\", 6]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 6]...
{"split": "train", "index": 7726}
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, Sebastian, Ethan, Joseph, Zoey, Ava, Emma, Lily, and Victoria. James stated, \"(James is an altruist if and only if Ava is an egoist) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1059, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 5]], [\"and\", [\"lying\", 7], [\"telling-t...
{"split": "train", "index": 7727}
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: Charlotte, Mia, Riley, Alexander, Samuel, Mason, Aiden, Ethan, and Jacob. Charlotte said that (Samuel is a devil) if and only if (Ethan is an angel or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1060, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"and\", [\"or\", [\"t...
{"split": "train", "index": 7728}
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, Jackson, Ava, Logan, Sophia, Lily, Matthew, Aurora, and James. Emma told you that (Jackson is a hero and Emma is a hero) or (Sophia is a hero o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1061, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\",...
{"split": "train", "index": 7729}
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: Charlotte, Scarlett, Jack, Mia, Ava, Harper, Liam, Owen, and Oliver. \"Mia is a devil,\" Charlotte claimed. According to Scarlett, \"Harper is an angel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1062, \"statements\": [[\"lying\", 3], [\"telling-truth\", 5], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth...
{"split": "train", "index": 7730}
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: Ella, Aria, Lucas, Jackson, Penelope, Emily, Evelyn, Ethan, and Jack. According to Ella, \"if Aria is a laggard then (if Lucas is a pioneer the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1063, \"statements\": [[\"->\", [\"lying\", 1], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 6]], [\"or\", [\"lying\", 7], [\"lying\", 5]]], [\"telling-truth\...
{"split": "train", "index": 7731}
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: Daniel, James, Harper, Logan, Abigail, Lucas, David, Liam, and Mia. \"Mia is a sage,\" Daniel mentioned. In a statement by James: \"it is not the case that...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1064, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"not\", [\"lying\", 0]]], [\"not\", [\"lying\", 0]], [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 5]], [\"and\", [\"lying\", 6], [\"lying\", 5]]], [\"not\", [\"telli...
{"split": "train", "index": 7732}
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, Daniel, Sebastian, Aiden, Aria, Elizabeth, Scarlett, Abigail, and Ethan. Riley remarked, \"it is not the case that (Sebastian is a sinner or S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1065, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"lying\", 6]]], [\"->\", [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]], [\"or\...
{"split": "train", "index": 7733}
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, Alexander, Olivia, Benjamin, Sophia, Zoey, Michael, William, and Isabella. As Amelia put it, \"(Amelia is a hero if and only if Michael is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1066, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]], [\"not\", [\"lying\", 8]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 8]]], [\"and\", [\...
{"split": "train", "index": 7734}
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: Mason, Grace, Jacob, Abigail, Oliver, Owen, Logan, Daniel, and Noah. Mason asserted: \"if (Daniel is a saint or Mason is a saint) then (Oliver is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1067, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"->\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 7]]], [\"lying\", 6], [\"<=>\", [\"or\", [\"t...
{"split": "train", "index": 7735}
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: Aiden, William, Alexander, Mia, Daniel, David, Logan, Aria, and Oliver. \"(Mia is a laggard) if and only if (Aria is a laggard if and only if A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1068, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]]], [...
{"split": "train", "index": 7736}
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, Victoria, Amelia, Jackson, Joseph, William, Evelyn, Michael, and Jacob. \"(Michael is a fool or Evelyn is a sage) or (Liam is a sage or Jacob is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1069, \"statements\": [[\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6]], [\"<=>\", [\"telling-trut...
{"split": "train", "index": 7737}
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: Liam, David, Logan, Samuel, William, Emily, Oliver, Penelope, and Aurora. \"if (Aurora is a hero if and only if Samuel is a villain) then (if Penelop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1070, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]], [\"->\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 5]], [\"and\...
{"split": "train", "index": 7738}
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: Noah, Lucas, Ava, Benjamin, Abigail, Charlotte, Samuel, Emma, and Victoria. Noah expressed that (Benjamin is a saint if and only if Charlotte is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1071, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 0], [\"lyi...
{"split": "train", "index": 7739}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Zoey, Lily, Matthew, Sophia, Oliver, David, Samuel, Olivia, and Noah. Zoey was heard saying, \"(Samuel is an angel and Lily is an angel) and (Samuel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1072, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]], [\"or\", [\"telling-truth\", 7], [\"te...
{"split": "train", "index": 7740}
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: Oliver, Evelyn, Mia, Grace, Aurora, Sophia, David, Aria, and Harper. Oliver said, \"Grace is a laggard if and only if (Aria is a pioneer and Gr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1073, \"statements\": [[\"<=>\", [\"lying\", 3], [\"and\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"or...
{"split": "train", "index": 7741}
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, Elizabeth, Victoria, Benjamin, Sofia, Charlotte, Noah, Sebastian, and Jackson. As Abigail put it, \"Abigail is an altruist\". Elizabet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1074, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"<=>\", [\"->\", [...
{"split": "train", "index": 7742}
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: Mia, Emily, William, Amelia, Harper, Oliver, Avery, Aria, and Jack. Mia said that Amelia is a sinner. As Emily put it, \"(if Harper is a saint then A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1075, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 4]...
{"split": "train", "index": 7743}
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, Logan, Lucas, Riley, Elizabeth, Amelia, Ava, Liam, and Jack. \"Ava is a sage,\" Owen claimed. Logan noted, \"Jack is a sage\". Lucas said that Liam i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1076, \"statements\": [[\"telling-truth\", 6], [\"telling-truth\", 8], [\"and\", [\"lying\", 7], [\"->\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth...
{"split": "train", "index": 7744}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emily, Riley, Olivia, Henry, Aria, Noah, Liam, Evelyn, and Jack. According to Emily, \"Aria is a sinner\". As Riley put it, \"if (Riley is a saint if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1077, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-tru...
{"split": "train", "index": 7745}
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, William, Mason, Penelope, Lucas, James, Charlotte, Chloe, and Sophia. As Abigail put it, \"if (William is a fool if and only if Mason is a fool) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1078, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"lying\", 3], [\"->\", [\"lying\", 5], [\"or\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"and\"...
{"split": "train", "index": 7746}
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: Aiden, Jack, Chloe, Victoria, Scarlett, Luke, Ava, Matthew, and Benjamin. Aiden told you that it is not the case that (Benjamin is a saint or Matthew...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1079, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"->\", [\"telling-truth\", 7], [\"not\", [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 6]]], [\"and\", [\"and\", [\"telling-trut...
{"split": "train", "index": 7747}
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: Isabella, Abigail, Aria, Benjamin, Emily, Matthew, Ethan, Owen, and Grace. According to Isabella, \"Matthew is a villain\". Abigail remarked, \"Aria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1080, \"statements\": [[\"lying\", 5], [\"telling-truth\", 2], [\"or\", [\"and\", [\"lying\", 8], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 6], [...
{"split": "train", "index": 7748}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Lily, Luke, Jack, Sebastian, Zoey, Evelyn, Victoria, Charlotte, and Matthew. In a statement by Lily: \"(Evelyn is a knave) or (if Matthew is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1081, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 0]], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [...
{"split": "train", "index": 7749}
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, David, Scarlett, Aurora, Zoey, William, Mia, Riley, and Jackson. \"David is a fool or (Mia is a fool or Riley is a sage)\" - Avery. In David's words...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1082, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"not\...
{"split": "train", "index": 7750}
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, Grace, Aiden, Liam, Henry, Ava, Charlotte, Joseph, and Lucas. According to Amelia, \"(Lucas is a villain if and only if Aiden is a hero) or (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1083, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"->\", [\"lyi...
{"split": "train", "index": 7751}
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, Lucas, Luke, Elizabeth, Scarlett, Joseph, Samuel, Alexander, and Henry. Mason said, \"(if Lucas is a fool then Scarlett is a fool) or (Lucas is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1084, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 8]...
{"split": "train", "index": 7752}
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, Lucas, Joseph, Sofia, Daniel, David, Michael, Noah, and Amelia. Aurora expressed that (Lucas is an egoist if and only if Aurora is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1085, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 0]], [\"not\", [\"lying\", 6]]], [\"and\", [\"telling...
{"split": "train", "index": 7753}
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: Chloe, Lily, Grace, Olivia, Ava, Evelyn, Avery, Jack, and William. According to Chloe, \"(Ava is a knight if and only if Olivia is a knave) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1086, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"lying\", 8], [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 3]], [\"->\", [\"telling-tr...
{"split": "train", "index": 7754}
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: Harper, Victoria, Abigail, William, Evelyn, Mason, Lily, Owen, and Jackson. \"(Mason is an altruist if and only if Jackson is an altruist) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1087, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 8], [\"lying\", 4]]], [\"and\", [\"lying\", 2], [\"->\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"lying\", 7...
{"split": "train", "index": 7755}
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: Mason, Joseph, Lily, Matthew, Harper, Aiden, Ella, Chloe, and Noah. Mason was heard saying, \"if Matthew is a knight then (Matthew is a knight)\". Jo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1088, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 2]], [\"lying\", 4]], [\"lying\", 5], [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 5]...
{"split": "train", "index": 7756}
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: Logan, James, Aurora, Michael, Amelia, Sophia, Riley, Ava, and Avery. Logan commented, \"it is not the case that (Aurora is an egoist and Micha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1089, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"...
{"split": "train", "index": 7757}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emily, Jack, Owen, Olivia, Alexander, Sophia, Mia, Oliver, and Joseph. Emily told you that if (Mia is a saint and Jack is a saint) then Oliver is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1090, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"lying\", 7]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 7]], [\"or\", [\"lying\", 2], [\"lying\", 6]]], [\"lying\", 1],...
{"split": "train", "index": 7758}
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, Lucas, Ethan, Olivia, Mason, Samuel, James, Mia, and Noah. Sophia noted, \"Mason is a saint\". Lucas said that Noah is a saint if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1091, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 8], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"telling-truth\", 6], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\...
{"split": "train", "index": 7759}
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: Aria, Luke, Avery, Daniel, Grace, Logan, Riley, Abigail, and Henry. Aria remarked, \"Henry is an egoist\". Luke remarked, \"(Daniel is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1092, \"statements\": [[\"lying\", 8], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]], [\"lying\", 8]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1]]...
{"split": "train", "index": 7760}
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: David, Lucas, Luke, Grace, James, Benjamin, Penelope, Mason, and Daniel. David expressed that Benjamin is a saint. \"it is not the case that (Lucas i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1093, \"statements\": [[\"telling-truth\", 5], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 8]]], [\"telling-tru...
{"split": "train", "index": 7761}
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, Evelyn, Lily, Emma, Zoey, Aria, Michael, James, and Henry. Victoria commented, \"(Emma is an angel or Zoey is a devil) or (Zoey is a devil if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1094, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"and\", [\"telling-tru...
{"split": "train", "index": 7762}
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: Henry, Joseph, Zoey, Avery, Ethan, Aurora, Logan, Liam, and Amelia. \"if (if Logan is an egoist then Zoey is an altruist) then (Amelia is an al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1095, \"statements\": [[\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 7]], [\"and\", [\"telling-truth\", 8], [\"telli...
{"split": "train", "index": 7763}
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, Grace, Ethan, Ava, Victoria, Aiden, Owen, Benjamin, and Daniel. \"(Benjamin is a knave and Daniel is a knave) if and only if (Daniel is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1096, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 7], [\"lying\", 8]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"ly...
{"split": "train", "index": 7764}
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, Henry, Jacob, Chloe, Lucas, James, Owen, Jack, and Jackson. In Aria's words: \"Jackson is a fool and (Jackson is a fool)\". Henry expressed that it i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1097, \"statements\": [[\"and\", [\"lying\", 8], [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-tru...
{"split": "train", "index": 7765}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emma, Chloe, Alexander, Luke, Ella, Henry, Matthew, Liam, and Jacob. Emma said, \"(Ella is a knight if and only if Matthew is a knave) or (Chloe is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1098, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 8]], [\"or\", [\"lying\", 5], [\"lyi...
{"split": "train", "index": 7766}
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: Avery, Scarlett, Harper, Ethan, Ella, Emily, Liam, Michael, and James. \"if (Michael is a saint and Harper is a sinner) then (if James is a saint the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1099, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 2]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"telling-truth\", 5], [\"telling-truth\", 7], [\"or\", [\"<=>\", [\"telling-truth\...
{"split": "train", "index": 7767}
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: Sophia, Scarlett, Avery, Mia, Jacob, Samuel, Abigail, Henry, and Luke. Sophia expressed that it is not the case that (Henry is an angel if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1100, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"and\", [\"or\", [\"lying\", 7], [\"lying\", 8]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\",...
{"split": "train", "index": 7768}
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: Chloe, Sofia, Abigail, Jacob, James, Oliver, Michael, Elizabeth, and Grace. As Chloe put it, \"Sofia is a fool\". Sofia stated, \"it is not the case that (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1101, \"statements\": [[\"lying\", 1], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 6]], [\"not\", [\"lying\", 2...
{"split": "train", "index": 7769}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Matthew, Ava, Emily, Logan, Liam, Henry, Chloe, Olivia, and Alexander. Matthew asserted: \"Olivia is an altruist\". Ava was heard saying, \"(Ma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1102, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 8]], [\"telling-truth\", 5]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 8], [\"lying\", 8]]],...
{"split": "train", "index": 7770}
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, Benjamin, James, Daniel, Emma, Jack, David, Olivia, and Sophia. \"(if David is a pioneer then David is a laggard) if and only if (Jack is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1103, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 6], [\"lying\", 6]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"<=>\", [\"lying\", 3], [\"and\", [\"lying\", 4], [\"lying\", 7]]], [\"lying\", 0]...
{"split": "train", "index": 7771}
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, Samuel, Harper, Benjamin, David, Daniel, Riley, Sebastian, and Avery. Amelia noted, \"it is not the case that (if Benjamin is an angel then Ave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1104, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"<=>\", [\"not\", [\"lying\", 8]], [\"not\", [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], ...
{"split": "train", "index": 7772}
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: Oliver, Ethan, Matthew, Alexander, Elizabeth, Harper, Charlotte, Henry, and Aurora. Oliver said that if (Alexander is a sinner if and only if Matthew...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1105, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 5]], [\"telling-truth\", 0]], [\"and\", [\"n...
{"split": "train", "index": 7773}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jack, Liam, Matthew, Aria, Emma, Sebastian, Henry, Joseph, and Ethan. \"it is not the case that (Joseph is a laggard if and only if Liam is a l...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1106, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 7], [\"lying\", 1]]], [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"not\", [\"telling-...
{"split": "train", "index": 7774}
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, Joseph, Aria, Emma, Olivia, Riley, Amelia, Avery, and Zoey. Harper said that if (Amelia is a sinner or Avery is a sinner) then (Avery is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1107, \"statements\": [[\"->\", [\"or\", [\"lying\", 6], [\"lying\", 7]], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\"and\", [\"not\", [\"lying\", 5]], [\"not\", ...
{"split": "train", "index": 7775}
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, Sebastian, Aria, Penelope, Evelyn, Amelia, Liam, Lily, and Emma. In Michael's words: \"(Aria is an egoist) or (if Amelia is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1108, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"not\", [\"lying\", 2]], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 6]], [\"not\", [\"telling...
{"split": "train", "index": 7776}
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: Sofia, Ella, David, Noah, Harper, Samuel, Lily, Scarlett, and Abigail. Sofia stated, \"Abigail is an altruist and Lily is an egoist\". Ella exp...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1109, \"statements\": [[\"and\", [\"telling-truth\", 8], [\"lying\", 6]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 7]], [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 5]...
{"split": "train", "index": 7777}
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, Liam, Aurora, Ella, Sophia, Daniel, Penelope, Noah, and Owen. In Riley's words: \"(if Penelope is a sinner then Daniel is a saint) or (if Noah...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1110, \"statements\": [[\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 5]], [\"->\", [\"lying\", 7], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"or\", [\"->\", [\"lying\", 4], [\"tel...
{"split": "train", "index": 7778}
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, Lily, Victoria, Emma, Emily, Harper, Amelia, David, and Owen. As Joseph put it, \"if (Victoria is a laggard) then (Amelia is a laggard ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1111, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 6], [\"lying\", 5]]], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\...
{"split": "train", "index": 7779}
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, Olivia, Henry, Chloe, Daniel, Mason, Samuel, Charlotte, and Avery. \"James is a pioneer if and only if Charlotte is a pioneer\" - James....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1112, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 0], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 5]], [\"not\"...
{"split": "train", "index": 7780}
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, Victoria, Amelia, Joseph, Harper, Aurora, Sebastian, Abigail, and James. Elizabeth said that if Abigail is a fool then (Abigail is a sage and Se...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1113, \"statements\": [[\"->\", [\"lying\", 7], [\"and\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"<=>\", [\"or\", [\"lying\"...
{"split": "train", "index": 7781}
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: Elizabeth, Ella, Penelope, Jacob, Amelia, Lily, Aurora, Alexander, and Jackson. Elizabeth said, \"(if Jacob is an angel then Ella is a devil) or Ella i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1114, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 1]], [\"telling-truth\", 6], [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"telling-truth\", 1]], [\"or\", [\"not\", [\"lyin...
{"split": "train", "index": 7782}
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, Zoey, Noah, Henry, Michael, Jacob, Amelia, Emily, and Matthew. \"Emily is an angel,\" Owen mentioned. Zoey stated, \"if (Jacob is a devil if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1115, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 1]], [\"lying\", 0]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 8], [\"telli...
{"split": "train", "index": 7783}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lily, Lucas, David, Aria, Olivia, Isabella, Riley, Mason, and Zoey. Lily said that Zoey is an egoist if and only if (Aria is an altruist or Zoe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1116, \"statements\": [[\"<=>\", [\"lying\", 8], [\"or\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 8]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"lying\", 0],...
{"split": "train", "index": 7784}
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: Liam, Isabella, Michael, Noah, Victoria, Ella, Charlotte, Benjamin, and Sofia. \"Isabella is a villain or Sofia is a hero,\" Liam mentioned. Isabella...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1117, \"statements\": [[\"or\", [\"lying\", 1], [\"telling-truth\", 8]], [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 8]], [\"ly...
{"split": "train", "index": 7785}
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, Abigail, Sebastian, Alexander, Mason, Charlotte, Penelope, Benjamin, and Chloe. Sophia commented, \"(Penelope is a villain) if and only if (C...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1118, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 8], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telli...
{"split": "train", "index": 7786}
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, James, Chloe, Noah, Joseph, Mia, Lucas, Luke, and Riley. Daniel noted, \"(Luke is a hero or Joseph is a hero) if and only if (Riley is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1119, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 8]], [\"not\", [\"telling-t...
{"split": "train", "index": 7787}
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, Sofia, Chloe, David, Jack, Aurora, Riley, Sophia, and Matthew. \"it is not the case that (Chloe is a laggard or David is a pioneer)\" - ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1120, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 8]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 8], [\"lying\", 4]], [\"<...
{"split": "train", "index": 7788}
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: Victoria, Benjamin, Daniel, Samuel, Matthew, Emily, Noah, Isabella, and Mason. Victoria expressed that Samuel is a pioneer. Benjamin expressed ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1121, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 6]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 8], [\"and\", [\"lying\", 3], [\"tell...
{"split": "train", "index": 7789}
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, Aurora, Noah, Harper, Lily, Matthew, Isabella, Jackson, and Liam. Benjamin was heard saying, \"(Noah is a villain if and only if Liam is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1122, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"->\", [\"telling-t...
{"split": "train", "index": 7790}
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: Alexander, Samuel, Victoria, Emma, Joseph, Riley, Aurora, Grace, and Lily. Alexander was heard saying, \"Lily is a devil or (if Alexander is an angel t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1123, \"statements\": [[\"or\", [\"lying\", 8], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"or\", [\"lying\", 5], [\"lying\", 0]], [\"<=>\", [\"lying\", 5], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]],...
{"split": "train", "index": 7791}
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, Grace, Emma, David, Chloe, Evelyn, Victoria, Luke, and Ella. Jack noted, \"(if Luke is a sage then Grace is a fool) if and only if (David is a fool i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1124, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 8]]], [\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 5]], [\"->\", [\"lying\", 0], [\"telling-trut...
{"split": "train", "index": 7792}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aurora, Victoria, Alexander, Emily, Isabella, Henry, James, Luke, and Benjamin. \"(if Victoria is a knight then Emily is a knave) and (if Benjamin is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1125, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"tel...
{"split": "train", "index": 7793}
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, Chloe, Amelia, William, Elizabeth, Emma, Joseph, Sophia, and Mason. Aiden told you that if (Elizabeth is a villain or Chloe is a hero) then (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1126, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\...
{"split": "train", "index": 7794}
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: Aiden, Penelope, Zoey, Henry, Michael, Aria, Samuel, Mia, and Oliver. Aiden asserted: \"Henry is a sinner\". Penelope remarked, \"(Aiden is a saint o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1127, \"statements\": [[\"lying\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"lying\", 4], [\"not\", [\"lying\", 8]], [\"->\", [\"and\"...
{"split": "train", "index": 7795}
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: Scarlett, Isabella, Aria, Jacob, Liam, David, Lucas, Grace, and Sebastian. \"(Grace is a saint if and only if Jacob is a sinner) or (Sebastian is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1128, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 3]], [\"or\", [\"lying\", 8], [\"lying\", 7]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 8]], [\"telling-truth\", 3]], [\"<=>\", [\"no...
{"split": "train", "index": 7796}
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: Sebastian, Joseph, James, Charlotte, Abigail, William, Jackson, Ethan, and David. Sebastian remarked, \"(Ethan is a sage) and (if Jackson is a sage then Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1129, \"statements\": [[\"and\", [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 8]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"...
{"split": "train", "index": 7797}
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: Grace, Isabella, Victoria, Chloe, Riley, Zoey, Mia, Liam, and Aria. Grace stated, \"(if Aria is a villain then Isabella is a hero) if and only if (Ri...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1130, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 6]]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", ...
{"split": "train", "index": 7798}
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, Oliver, Emily, Isabella, Grace, Aiden, Amelia, and David. \"if (David is a laggard if and only if David is a pioneer) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1131, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"not\", [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]], [\"or\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"lying\", ...
{"split": "train", "index": 7799}