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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sebastian, Jack, Elizabeth, Charlotte, Oliver, Ethan, Abigail, Michael, and Ella. Sebastian commented, \"Ethan is a villain\". Jack asserted: \"if (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 944, \"statements\": [[\"lying\", 5], [\"->\", [\"->\", [\"not\", [\"lying\", 6]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4], [\"lying\", 8]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], ...
{"split": "train", "index": 16500}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sebastian, James, Ethan, Mia, Aurora, Elizabeth, Avery, Emily, and Zoey. \"(if Zoey is a villain then Sebastian is a hero) and (if (if Avery is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 945, \"statements\": [[\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 0]], [\"->\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0]]]], [\"->\", [\"lyin...
{"split": "train", "index": 16501}
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, Lucas, Alexander, Ella, Sofia, Amelia, Matthew, Jacob, and Mia. \"((Matthew is a saint and Alexander is a sinner) if and only if (if Amelia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 946, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 2]], [\"->\", [\"lying\", 5], [\"lying\", 7]]], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"o...
{"split": "train", "index": 16502}
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, Abigail, Charlotte, Joseph, Michael, Logan, Grace, Ethan, and Alexander. Matthew said, \"if Grace is an altruist then ((Michael is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 947, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"not\", [\"lying\", 1]]]], [\"lying\", 6], [\"and\", [\"telling-truth\", 5], [\"->\", [\"not\", [\"t...
{"split": "train", "index": 16503}
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: Logan, Harper, Mason, Sophia, Jackson, Henry, Jack, Luke, and Daniel. Logan said that (if (Sophia is a villain or Harper is a villain or Daniel is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 948, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 8]], [\"->\", [\"tell...
{"split": "train", "index": 16504}
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, Benjamin, Mason, Noah, Chloe, Evelyn, Charlotte, Penelope, and Jack. In Sebastian's words: \"it is not the case that (it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 949, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]]]], [\"not\", [\"not\", [\"->\", [\"lying\", 6], [\"telling-truth\", 2]]]], [\"lying\", 6], [\"->\", [\"or\", [\"not\", [\"telli...
{"split": "train", "index": 16505}
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: Henry, Evelyn, Daniel, Harper, Sofia, Owen, Isabella, Jackson, and Mia. Henry remarked, \"it is not the case that ((if Owen is an angel then Henry is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 950, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"lying\", 8], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3]]]], [\"telling-truth\", 4], [\"->\", [\"->\", [\"not\...
{"split": "train", "index": 16506}
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: Zoey, Jackson, Lucas, Ella, Avery, Owen, Michael, Aiden, and Jack. \"((if Jackson is a laggard then Avery is a laggard) and (Owen is a laggard ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 951, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"and\", [\"<=>\", [\"telling-truth\",...
{"split": "train", "index": 16507}
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: Logan, Isabella, Ethan, Lily, Emma, Sofia, Aria, Mia, and Evelyn. In a statement by Logan: \"if ((if Isabella is a villain then Mia is a hero) and (I...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 952, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 7]], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 5...
{"split": "train", "index": 16508}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Olivia, Benjamin, Henry, Michael, Joseph, Scarlett, Aria, Sofia, and Luke. Olivia said that Joseph is an altruist. In Benjamin's words: \"Sofia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 953, \"statements\": [[\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 7], [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 0]], [\"and\", [\"lying\", 6], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 8],...
{"split": "train", "index": 16509}
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: Aurora, Oliver, Abigail, Mason, Daniel, Harper, Lucas, Henry, and David. Aurora was heard saying, \"if (if (if Abigail is a fool then Mason is a fool) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 954, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 8], [\"telli...
{"split": "train", "index": 16510}
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: Penelope, Sofia, Ava, Michael, Owen, Amelia, Chloe, Scarlett, and Ethan. Penelope told you that ((Scarlett is a knight or Michael is a knave or Chloe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 955, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 3], [\"telling-truth\", 6]], [\"not\", [\"lying\", 1]], [\"lying\", 6]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]],...
{"split": "train", "index": 16511}
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: Ethan, Evelyn, Lily, Sebastian, Alexander, Daniel, Benjamin, Sofia, and Olivia. Ethan stated, \"it is not the case that ((Alexander is a saint) and (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 956, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]]]], [\"or\", [\"->\", [\"not\", [\...
{"split": "train", "index": 16512}
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: Charlotte, Aurora, Luke, Joseph, Ella, Noah, Victoria, Aiden, and Riley. Charlotte noted, \"if Noah is a knave then Ella is a knight\". Aurora noted,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 957, \"statements\": [[\"->\", [\"lying\", 5], [\"telling-truth\", 4]], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8], [\"telling-truth\", 7]]], ...
{"split": "train", "index": 16513}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Lily, James, Luke, David, Chloe, Charlotte, Owen, Aiden, and Sofia. Lily expressed that if (James is a villain) then ((Chloe is a villain if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 958, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]], [\"and\", [\"lying\", 5], [\"lying\", 3]]]], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 0], [...
{"split": "train", "index": 16514}
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, Elizabeth, Henry, Sofia, Isabella, Mason, Aurora, and Oliver. James said, \"Mason is a laggard.\" According to Amelia, \"James i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 959, \"statements\": [[\"lying\", 6], [\"lying\", 0], [\"or\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]], [\"and\", [\"...
{"split": "train", "index": 16515}
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: Aria, Luke, Emma, Charlotte, Benjamin, Ethan, Alexander, Lucas, and Lily. Aria said that Charlotte is a hero and ((if Luke is a villain then Benjamin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 960, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 7]...
{"split": "train", "index": 16516}
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, Emily, Scarlett, Chloe, Matthew, Isabella, Abigail, Penelope, and Logan. Amelia expressed that it is not the case that (Isabella is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 961, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"telling-truth\", 5], [\"->\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"and\", [\"lying\", 3], [\"lying\", 4]],...
{"split": "train", "index": 16517}
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: Sophia, Mason, Lily, Zoey, Daniel, Emily, Alexander, Abigail, and Samuel. According to Sophia, \"if ((Emily is a laggard and Lily is a laggard)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 962, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 5], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"lying\", 4]], [\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 7]], [\"or\", [\"telling-tru...
{"split": "train", "index": 16518}
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, Ethan, Mia, Grace, Jackson, Chloe, Mason, Aurora, and Sebastian. \"((Logan is an egoist) if and only if (Mia is an egoist or Sebastian i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 963, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"t...
{"split": "train", "index": 16519}
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, Henry, Sophia, Benjamin, Alexander, Jack, Abigail, Samuel, and Daniel. Oliver was heard saying, \"(if (Sophia is a saint if and only if Benja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 964, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 6], [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]...
{"split": "train", "index": 16520}
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, Isabella, Harper, David, Charlotte, Lily, Penelope, Jackson, and Grace. As Michael put it, \"David is a pioneer\". Isabella said that ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 965, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 6]]], [\"telling-truth\", 6]], ...
{"split": "train", "index": 16521}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ethan, Ava, Alexander, Samuel, Logan, Michael, Elizabeth, Owen, and Jack. Ethan asserted: \"Jack is a pioneer\". Ava asserted: \"it is not the ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 966, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 6]], [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 7]]]], [\"<=>\", [\"and\", [\...
{"split": "train", "index": 16522}
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: Penelope, Logan, Noah, Grace, Isabella, Abigail, Samuel, Elizabeth, and Victoria. In a statement by Penelope: \"if ((Logan is a fool or Samuel is a sage or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 967, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 6], [\"lying\", 7]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"lyin...
{"split": "train", "index": 16523}
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, Logan, Sophia, Ethan, William, Mia, Emma, Samuel, and Jacob. Zoey remarked, \"Emma is a knave\". Logan said, \"(if (Mia is a knight or Logan is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 968, \"statements\": [[\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"lyi...
{"split": "train", "index": 16524}
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: William, Aiden, Mia, Emma, Noah, Henry, Jackson, Abigail, and Luke. William said that ((Aiden is a sinner) and (Abigail is a sinner and Mia is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 969, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 7], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"...
{"split": "train", "index": 16525}
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: William, Mason, Luke, Sophia, Emily, Henry, Elizabeth, Aiden, and Oliver. William noted, \"Oliver is a fool\". Mason told you that ((Elizabeth is a sage an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 970, \"statements\": [[\"lying\", 8], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8], [\"lying\", 4]], [\"telling-truth\", 3]], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 0], [\"lying\", 3]]], [\"or\...
{"split": "train", "index": 16526}
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, Scarlett, Sofia, Penelope, Evelyn, David, Benjamin, William, and Logan. \"Logan is a devil,\" Isabella mentioned. Scarlett told you that Davi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 971, \"statements\": [[\"lying\", 8], [\"lying\", 5], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 6], [\"lying\...
{"split": "train", "index": 16527}
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: Scarlett, Joseph, Isabella, Benjamin, Alexander, Aria, Samuel, Oliver, and Lily. Scarlett was heard saying, \"((Benjamin is a knight) or (if Alexande...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 972, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 4]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]], [\"telling-truth\", 0],...
{"split": "train", "index": 16528}
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: Sofia, Matthew, Alexander, Aurora, Michael, Victoria, Sebastian, Lily, and Avery. In a statement by Sofia: \"Lily is a knave\". According to Matthew,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 973, \"statements\": [[\"lying\", 7], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3...
{"split": "train", "index": 16529}
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, Aurora, Olivia, Owen, Daniel, Ava, Emily, Noah, and Jacob. As Abigail put it, \"if ((if Noah is a pioneer then Olivia is a laggard) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 974, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]], [\"telling-truth\", 2]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]]]], [\"or...
{"split": "train", "index": 16530}
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, Penelope, Joseph, Lily, James, Lucas, Jack, Ethan, and Chloe. In Sophia's words: \"it is not the case that (if (Lily is an angel or Joseph is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 975, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]]]], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-tru...
{"split": "train", "index": 16531}
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, Sofia, Liam, Abigail, Lily, Emma, Isabella, Aria, and Grace. Harper stated, \"if (it is not the case that (if Liam is a saint then Harper is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 976, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"and\", [\"...
{"split": "train", "index": 16532}
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, Harper, Amelia, William, Logan, Alexander, Jacob, Jackson, and Isabella. In a statement by Henry: \"Harper is a sinner\". Harper noted, \"((if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 977, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"telling-tr...
{"split": "train", "index": 16533}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ethan, Owen, Joseph, Olivia, Alexander, Lucas, Logan, James, and Mason. Ethan expressed that (Lucas is a knave or (Logan is a knave or Joseph is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 978, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 5], [\"or\", [\"lying\", 6], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 5], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 5]]]], [\"or\", [\"or\...
{"split": "train", "index": 16534}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Riley, Sophia, Mia, Victoria, Mason, Avery, Aiden, Benjamin, and Evelyn. Riley remarked, \"if Mia is an altruist then Riley is an altruist\". \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 979, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 0]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\"...
{"split": "train", "index": 16535}
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, Chloe, Matthew, Jack, Emily, Oliver, Logan, Samuel, and Daniel. Liam expressed that Oliver is a villain or (it is not the case that (Oliver is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 980, \"statements\": [[\"or\", [\"lying\", 5], [\"not\", [\"not\", [\"telling-truth\", 5]]]], [\"->\", [\"telling-truth\", 6], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-trut...
{"split": "train", "index": 16536}
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: Daniel, Mason, Aurora, Scarlett, Noah, Jackson, William, Elizabeth, and Michael. Daniel expressed that Mason is an egoist. Mason asserted: \"(E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 981, \"statements\": [[\"lying\", 1], [\"<=>\", [\"or\", [\"lying\", 7], [\"->\", [\"lying\", 5], [\"lying\", 6]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"or\", [\"lying\", 6], [\"telling-truth...
{"split": "train", "index": 16537}
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: Penelope, Mia, William, Elizabeth, Sebastian, Emma, Jacob, Riley, and Abigail. In a statement by Penelope: \"((William is a hero and Abigail is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 982, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 8], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"lying\", 5]], [\"lying\", 7], [\"->\", [\"telling-truth\"...
{"split": "train", "index": 16538}
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, Ava, Charlotte, Mia, William, Olivia, Abigail, Sophia, and Lily. Emma said, \"if ((Charlotte is a sinner or Abigail is a saint) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 983, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"telling-truth\", 6]], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"tel...
{"split": "train", "index": 16539}
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, Emily, Joseph, Aria, Penelope, Luke, Daniel, Abigail, and Logan. Sophia stated, \"(it is not the case that (Aria is a hero)) or Logan is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 984, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 8], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 8]], [\"and\", [\"telling-truth\", 2], [\"ly...
{"split": "train", "index": 16540}
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, Luke, Emma, Mason, Aurora, Jackson, Matthew, Owen, and Scarlett. As Elizabeth put it, \"(if (Luke is a devil) then (Scarlett is an angel and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 985, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 5], [\"...
{"split": "train", "index": 16541}
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, Owen, Jack, Samuel, Harper, Logan, Chloe, Zoey, and William. Luke was heard saying, \"Samuel is a sinner\". Owen noted, \"if (Samuel is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 986, \"statements\": [[\"lying\", 3], [\"->\", [\"and\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 8], [\"lying\", 8]], [\"telling-truth\", 4]], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 3], [\"lying\",...
{"split": "train", "index": 16542}
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, Samuel, Riley, Mason, Ava, Isabella, Henry, Sebastian, and Harper. Mia remarked, \"Isabella is a pioneer\". Samuel noted, \"((if Mason is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 987, \"statements\": [[\"not\", [\"lying\", 5]], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"lying\", 8]...
{"split": "train", "index": 16543}
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, James, Aurora, Amelia, Avery, Henry, Sofia, Riley, and Noah. Scarlett was heard saying, \"((James is a sinner and Noah is a sinner) or (Jam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 988, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", ...
{"split": "train", "index": 16544}
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: Samuel, Mason, Elizabeth, Sofia, Matthew, Charlotte, Daniel, Sebastian, and Sophia. Samuel was heard saying, \"Charlotte is a sinner\". Mason comment...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 989, \"statements\": [[\"lying\", 5], [\"->\", [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 3]], [\"and\",...
{"split": "train", "index": 16545}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ava, Sophia, James, Grace, Evelyn, Michael, Olivia, Sebastian, and Penelope. \"((if Olivia is an altruist then James is an egoist) or (Evelyn i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 990, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 8]], [\"telling-truth\", 1]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 7]]]]...
{"split": "train", "index": 16546}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Luke, Amelia, Samuel, Elizabeth, Oliver, Benjamin, Mason, Lily, and Riley. Luke expressed that (it is not the case that (if Elizabeth is a lagg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 991, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 5], [\"lying\", 8]], [\"telling-truth\", 8], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"no...
{"split": "train", "index": 16547}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ethan, Lily, Samuel, Evelyn, Jackson, Daniel, David, Abigail, and Lucas. According to Ethan, \"David is a villain or (if (Daniel is a villain) then D...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 992, \"statements\": [[\"or\", [\"lying\", 6], [\"->\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 6]], [\"or\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [...
{"split": "train", "index": 16548}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Evelyn, Daniel, Elizabeth, Ava, Joseph, Liam, Henry, Penelope, and Lucas. According to Evelyn, \"(it is not the case that (if Daniel is a fool then Henry i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 993, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 8]], [\"<=>\", [\"lying\", 7], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"ly...
{"split": "train", "index": 16549}
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: Elizabeth, Samuel, Emily, David, Jacob, Jack, James, Matthew, and Sophia. As Elizabeth put it, \"(if (David is a sinner or Samuel is a sinner) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 994, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 7], [\"lying\", 8], [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 7], [\"lying\", 1]], [\"or\", [\"telling-truth...
{"split": "train", "index": 16550}
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, Joseph, Olivia, Jacob, Lucas, Isabella, Victoria, Ella, and Aurora. Noah commented, \"Joseph is a sinner\". According to Joseph, \"((Isabella i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 995, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 8], [\"lying\", 5]], [\"or\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"telling-truth\", 2]], [\"not\", [\"not\", [\"te...
{"split": "train", "index": 16551}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Logan, Scarlett, Aria, Joseph, Mia, Jackson, Benjamin, Elizabeth, and Aiden. According to Logan, \"Benjamin is a pioneer\". Scarlett noted, \"(...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 996, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"lying\", 3]], [\"and\", [\"telling-truth\", 7], [\"->\", [\"or\", [\"lying\", 6], [\"lying\", 7]]...
{"split": "train", "index": 16552}
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, Liam, Scarlett, Avery, Elizabeth, Chloe, Aurora, Harper, and Ella. Michael said, \"(Elizabeth is a laggard and (if Liam is a pioneer t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 997, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 6], [\"lying\", 2]]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"or\", [\"t...
{"split": "train", "index": 16553}
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: Noah, Zoey, Michael, Isabella, Aria, Sofia, Logan, Jack, and Emma. Noah expressed that Isabella is a sage. Zoey stated, \"(it is not the case that (Zoey is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 998, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 8], [\"lying\", 2]], [\"->\", ...
{"split": "train", "index": 16554}
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, Aiden, William, Jack, Ella, Ava, Aurora, Alexander, and Ethan. David expressed that if (if (if Aiden is a sinner then David is a saint) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 999, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 5]]], [\"and\", [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"->\", [\"tel...
{"split": "train", "index": 16555}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Matthew, Ava, Abigail, Ella, Grace, Michael, Riley, Avery, and Henry. \"Grace is a sinner,\" Matthew mentioned. Ava noted, \"(if (Matthew is a sinner...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1000, \"statements\": [[\"lying\", 4], [\"or\", [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", ...
{"split": "train", "index": 16556}
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, Riley, Sebastian, Luke, Henry, Sophia, William, Ava, and Charlotte. Sofia said, \"(it is not the case that (Sofia is an altruist if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1001, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\"...
{"split": "train", "index": 16557}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ava, Alexander, Lucas, Matthew, Avery, Henry, James, Ethan, and Charlotte. \"((Avery is an altruist if and only if Lucas is an egoist) or (if A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1002, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 5]], ...
{"split": "train", "index": 16558}
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, Elizabeth, Penelope, Oliver, Lily, Scarlett, James, Sophia, and Ethan. According to Abigail, \"((if Scarlett is a hero then James is a hero)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1003, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"and\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 7]]]], [\"not\", [...
{"split": "train", "index": 16559}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jacob, Chloe, Aiden, Victoria, Elizabeth, Joseph, Mia, Sophia, and Harper. In Jacob's words: \"if (it is not the case that (Aiden is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1004, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 6], [\"lying\", 5]]], [\"telling-truth\", 5]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"lying\", ...
{"split": "train", "index": 16560}
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: Sophia, Aria, Daniel, Emily, Emma, Zoey, Jackson, Matthew, and Jacob. Sophia was heard saying, \"((Jackson is a pioneer) or Emma is a pioneer) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1005, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 6]], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 6]]]], [\"...
{"split": "train", "index": 16561}
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: Aria, Abigail, Ella, Elizabeth, Scarlett, Alexander, Sebastian, Ava, and David. Aria said that it is not the case that ((Ella is a sinner if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1006, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"lying\", 7], [\"lying\", 4]]]], [\"<=>\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"...
{"split": "train", "index": 16562}
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, Chloe, Mia, Daniel, Isabella, Joseph, Avery, Jackson, and Victoria. Aiden remarked, \"Mia is an altruist\". Chloe told you that (it is n...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1007, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"telling-truth\", 5], [\"and\", [\"not\", [\"lying\", 4]], [\"lying\", 2]]], [\"or\", [\"and\",...
{"split": "train", "index": 16563}
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, Grace, Victoria, Lucas, Sofia, Zoey, Chloe, and Samuel. Sophia said that it is not the case that ((Victoria is a knave if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1008, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]]]], [\"not\", [\"telling...
{"split": "train", "index": 16564}
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: Sofia, Olivia, Joseph, Jacob, Charlotte, David, Chloe, Penelope, and Ethan. Sofia stated, \"((if Chloe is a knave then Charlotte is a knave) or (Jose...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1009, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 6...
{"split": "train", "index": 16565}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Chloe, Samuel, Daniel, Matthew, Jack, Aria, Jacob, Amelia, and Charlotte. Chloe stated, \"(if (Aria is a sinner or Chloe is a saint or Amelia is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1010, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 0], [\"lying\", 7]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]]], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"->\", [\"tel...
{"split": "train", "index": 16566}
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: Owen, Joseph, Daniel, Michael, Emily, Benjamin, Logan, Mason, and Isabella. According to Owen, \"((Michael is a knave if and only if Isabella is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1011, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"->\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"ly...
{"split": "train", "index": 16567}
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, Mia, Elizabeth, James, Liam, Victoria, Emily, Aiden, and Scarlett. Mason said that if (if Victoria is a laggard then (James is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1012, \"statements\": [[\"->\", [\"->\", [\"lying\", 5], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 8], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth...
{"split": "train", "index": 16568}
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, Chloe, Penelope, Jacob, Emma, Olivia, Charlotte, Grace, and Aurora. Elizabeth asserted: \"Charlotte is an angel\". \"if Emma is a devil then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1013, \"statements\": [[\"not\", [\"lying\", 6]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 6]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]...
{"split": "train", "index": 16569}
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, Abigail, Jackson, Sofia, Oliver, David, Olivia, Victoria, and Jacob. Jack said that Oliver is a sage. According to Abigail, \"(it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1014, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"<=>\", [\"telling-truth\", 5], [\"or\", [\"lying\", 2], [\"lying\", 6], [\"lying\", 3]]]], [\"and\", [\"...
{"split": "train", "index": 16570}
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: Chloe, Oliver, Zoey, Riley, Jack, Victoria, Sofia, Scarlett, and Michael. In Chloe's words: \"if (it is not the case that (Oliver is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1015, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 1]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 8], [\"tel...
{"split": "train", "index": 16571}
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: Aria, Aurora, Jackson, Scarlett, Noah, Evelyn, Jacob, Henry, and Elizabeth. \"it is not the case that (it is not the case that (Scarlett is a hero if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1016, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]]]], [\"telling-truth\", 7], [\"not\", [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]]], [\"...
{"split": "train", "index": 16572}
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, Aiden, David, Liam, Sophia, Riley, Elizabeth, Owen, and Isabella. \"((Riley is an altruist if and only if Owen is an egoist) and (Aiden ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1017, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 7]], [\"and\", [\"lying\", 1], [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>...
{"split": "train", "index": 16573}
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, Victoria, Isabella, Ava, Lily, Aiden, Lucas, Benjamin, and Evelyn. \"((Lucas is a villain or Aiden is a villain or Lily is a villain) or (Sam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1018, \"statements\": [[\"and\", [\"or\", [\"or\", [\"lying\", 6], [\"lying\", 5], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 5]]], [\"not\", [\"and\", [\"lying\", 7], [\"lying\", 6]]...
{"split": "train", "index": 16574}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jack, Liam, Amelia, Victoria, Lucas, Henry, Ava, Sofia, and Emma. Jack stated, \"if (it is not the case that (Emma is a knave or Lucas is a knight)) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1019, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\"...
{"split": "train", "index": 16575}
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, Grace, Ella, Avery, Jacob, James, David, Aurora, and Owen. Jackson remarked, \"Aurora is a pioneer\". \"if ((Avery is a laggard or Ell...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1020, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 7], [\"lying\", 6], [\"telling-truth\", 3]]], [\"telling-truth\", 4]], [\"or\", [...
{"split": "train", "index": 16576}
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, Liam, Joseph, Grace, Penelope, Charlotte, Olivia, Ella, and William. \"if Ella is an altruist then ((if William is an egoist then Jack is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1021, \"statements\": [[\"->\", [\"telling-truth\", 7], [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"->\", [\"not\", [\"and\", [\"lying\", 6], [\"l...
{"split": "train", "index": 16577}
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, Olivia, Noah, Sebastian, David, Henry, Aria, Lucas, and Jackson. Emma stated, \"Sebastian is a laggard\". According to Olivia, \"it is no...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1022, \"statements\": [[\"lying\", 3], [\"not\", [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 8], [\"lying\", 0], [\"lying\", 8]]]], [\"telling-truth\", 4], [\"and\", [\"->\", [\"no...
{"split": "train", "index": 16578}
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, Jack, Amelia, Victoria, David, Matthew, Avery, Mason, and Daniel. \"Matthew is a knight,\" Abigail claimed. \"Matthew is a knave,\" Jack cla...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1023, \"statements\": [[\"telling-truth\", 5], [\"lying\", 5], [\"lying\", 4], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"and\", [\"<=>\"...
{"split": "train", "index": 16579}
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, Harper, Scarlett, Samuel, Isabella, Aurora, Penelope, Joseph, and Jack. In William's words: \"Isabella is a villain\". According to Harper, ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1024, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling...
{"split": "train", "index": 16580}
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: Olivia, Logan, Emma, Matthew, Grace, Noah, Charlotte, Jacob, and Samuel. In Olivia's words: \"(if Logan is a sage then (if Olivia is a sage then Jacob is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1025, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 8]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [...
{"split": "train", "index": 16581}
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: Noah, Luke, Sebastian, Aria, Daniel, Ethan, Amelia, Emma, and Oliver. \"((Luke is a pioneer if and only if Aria is a laggard) if and only if No...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1026, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 0]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 4]]]], [\"->\", [\"not\", [\...
{"split": "train", "index": 16582}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Noah, Owen, Mason, James, David, Evelyn, Mia, Emma, and Elizabeth. Noah stated, \"(if James is a devil then (Evelyn is an angel)) and (it is not the ca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1027, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"not\", [\"lying\", 5]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 5]]]], [\"not\", [\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 4], [\"lying\", 0]], ...
{"split": "train", "index": 16583}
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, Mia, Matthew, Emma, Emily, Lily, Zoey, Mason, and Sophia. Daniel noted, \"Lily is an angel or Mason is an angel\". According to Mia, \"(if (Emm...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1028, \"statements\": [[\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"and\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"or\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"and\", [\"<=>\", [\"lying\", ...
{"split": "train", "index": 16584}
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: Jack, Liam, Joseph, Evelyn, Isabella, Sebastian, Logan, Benjamin, and Sophia. Jack commented, \"if ((Benjamin is an angel and Sebastian is an angel) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1029, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"lying\", 3], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lyin...
{"split": "train", "index": 16585}
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: Mia, Logan, Abigail, Avery, Ethan, Isabella, Aria, Oliver, and Lily. Mia was heard saying, \"((Ethan is a sage) if and only if Avery is a fool) or Abigail ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1030, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"lying\", 3]], [\"telling-truth\", 2]], [\"telling-truth\", 5], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"not\", [\"...
{"split": "train", "index": 16586}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sofia, Lucas, Luke, Jackson, Lily, Abigail, William, Sebastian, and Ethan. \"it is not the case that ((Sebastian is a pioneer or Sofia is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1031, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 0], [\"lying\", 5]], [\"not\", [\"telling-truth\", 5]]]], [\"not\", [\"and\", [\"lying\", 6], [\"or\", [\"lying\", 0], [\"telling-...
{"split": "train", "index": 16587}
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, Sebastian, Luke, Avery, Lucas, Isabella, Jacob, and James. \"(Lucas is a devil if and only if (Lucas is a devil)) or (if (if Avery i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1032, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 5], [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"...
{"split": "train", "index": 16588}
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, Elizabeth, Matthew, Sebastian, Olivia, Lucas, William, Charlotte, and Noah. As Michael put it, \"it is not the case that (Elizabeth is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1033, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"or\", [\"lying\", 1], [\"telling-truth\", 8], [\"lying\", 2]], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth...
{"split": "train", "index": 16589}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Penelope, Victoria, Aurora, Sebastian, Joseph, Daniel, James, Lily, and Sophia. Penelope remarked, \"(if (if Sebastian is a devil then Victoria is a de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1034, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"te...
{"split": "train", "index": 16590}
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, Victoria, Jacob, Ava, Scarlett, Noah, Alexander, Ella, and Zoey. Olivia noted, \"Alexander is a villain or ((Ava is a villain and Olivia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1035, \"statements\": [[\"or\", [\"lying\", 6], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 5], [\"lying\", 4]], [\"and...
{"split": "train", "index": 16591}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Aurora, Victoria, Matthew, Luke, Abigail, Liam, Lily, Avery, and Logan. According to Aurora, \"((Logan is a hero and Liam is a villain and Aurora is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1036, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 8], [\"lying\", 5], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]...
{"split": "train", "index": 16592}
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, Avery, Aurora, Luke, Oliver, Penelope, Ava, Jack, and Noah. Aria asserted: \"(if (if Aurora is a sage then Jack is a sage) then (Oliver is a fool and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1037, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2]]], [\"lying\", 5], [\"<=>\", [\"or\", [\"telling-truth\", 0],...
{"split": "train", "index": 16593}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jacob, Oliver, Victoria, Sofia, Grace, Elizabeth, David, Chloe, and Zoey. Jacob told you that ((Victoria is a sinner) or (Zoey is a saint if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1038, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 0]], [\"and\", [\"o...
{"split": "train", "index": 16594}
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: Daniel, Scarlett, Owen, Aurora, Jackson, David, Avery, Ava, and Isabella. In a statement by Daniel: \"Jackson is an egoist\". As Scarlett put i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1039, \"statements\": [[\"lying\", 4], [\"and\", [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 8]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"<=>\", [\"and...
{"split": "train", "index": 16595}
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: Amelia, Grace, Henry, Liam, Avery, Isabella, Sofia, Zoey, and Matthew. As Amelia put it, \"((Avery is a sage) or (Sofia is a sage if and only if Liam is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1040, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 3]]], [\"lying\", 4], [\"lying\", 8]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"or\", [\"or\", [\"telling...
{"split": "train", "index": 16596}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Matthew, Oliver, Grace, Victoria, Aiden, Isabella, Sophia, and Alexander. Jackson commented, \"it is not the case that (if Jackson is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1041, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"or\", [\"lying\", 7], [\"lying\", 8], [\"telling-truth\", 6]]]], [\"telling-truth\", 5], [\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth...
{"split": "train", "index": 16597}
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, Jackson, Victoria, Matthew, Lucas, Owen, Charlotte, Benjamin, and Harper. In Sophia's words: \"(if Benjamin is a saint then (Harper is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1042, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 7], [\"or\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"not\", [\"lying\", 3]], [\"not\", [\"not\", [\"lying\", 6]]]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-tr...
{"split": "train", "index": 16598}
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: Henry, David, Benjamin, Emma, Luke, Victoria, Emily, Daniel, and Zoey. Henry said, \"((Daniel is an angel if and only if Victoria is a devil) and (if B...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1043, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 5]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 8]], [\"and\", [\"t...
{"split": "train", "index": 16599}