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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aria, Chloe, Jackson, Emily, Sebastian, Avery, Sophia, Sofia, and Benjamin. \"it is not the case that (Chloe is a sage or Emily is a sage),\" Aria mentione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 332, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"telling-truth\", 8]], [\"and\", [\"not\", [\"telling-truth\", 2]]...
{"split": "train", "index": 7000}
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: Alexander, Emily, Penelope, Olivia, Joseph, Jackson, Isabella, Logan, and Oliver. Alexander was heard saying, \"(if Isabella is a knave then Olivia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 333, \"statements\": [[\"and\", [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 7]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]...
{"split": "train", "index": 7001}
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: Avery, Oliver, Amelia, Logan, Michael, Elizabeth, Jack, Penelope, and Ava. Avery was heard saying, \"(if Michael is a knight then Michael is a knave)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 334, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]], [\"and\", [\"telling-tru...
{"split": "train", "index": 7002}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Samuel, William, Michael, Henry, Olivia, Joseph, Lily, Liam, and Emily. Samuel was heard saying, \"if (Liam is a laggard or William is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 335, \"statements\": [[\"->\", [\"or\", [\"lying\", 7], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 3], [\"telli...
{"split": "train", "index": 7003}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sofia, Mason, Joseph, Daniel, Isabella, Penelope, Charlotte, Henry, and Amelia. Sofia asserted: \"(if Isabella is a sage then Penelope is a sage) or (Danie...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 336, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 8]],...
{"split": "train", "index": 7004}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lucas, Lily, Chloe, Avery, Daniel, Victoria, Aiden, Liam, and Emma. \"it is not the case that (Daniel is a pioneer and Victoria is a pioneer),\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 337, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 5...
{"split": "train", "index": 7005}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Harper, Noah, Elizabeth, Jacob, Aiden, Ella, Owen, Jack, and Grace. \"if (if Harper is a knight then Jack is a knight) then (Jacob is a knave and Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 338, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"and\", [\"lying\", 3], [\"lying\", 7]]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"and\", [\"telling-tru...
{"split": "train", "index": 7006}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Harper, Grace, Benjamin, Olivia, James, Aurora, Logan, Alexander, and Luke. In Harper's words: \"(Harper is a knight if and only if Olivia is a knigh...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 339, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"lying\", 6]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"telling-truth\", 6]]], [\"not\", [\"or\...
{"split": "train", "index": 7007}
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: Logan, Penelope, Sebastian, Joseph, Luke, Matthew, Riley, Lily, and Evelyn. Logan asserted: \"Penelope is a knight\". Penelope expressed that (Sebast...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 340, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 6]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 8]], [\"->\", [\"telling-trut...
{"split": "train", "index": 7008}
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, Aurora, Amelia, Abigail, Elizabeth, Sebastian, Benjamin, Ella, and Scarlett. Aria told you that Aurora is a sage. \"(Ella is a fool and Abigail is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 341, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"telling-truth\", 6], [\"and\", [\"lying\", 1], [\"<=>\", [\"telling-truth\...
{"split": "train", "index": 7009}
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, Penelope, David, Aiden, Alexander, Mason, Scarlett, Grace, and Aria. \"Scarlett is a sinner or (Grace is a sinner and Mason is a saint),\" Emi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 342, \"statements\": [[\"or\", [\"lying\", 6], [\"and\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"not\", [\"or\", [\"lying...
{"split": "train", "index": 7010}
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, Michael, Liam, Victoria, Scarlett, Ethan, James, Aria, and Luke. As Penelope put it, \"Scarlett is a villain and (Luke is a hero or Liam is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 343, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]...
{"split": "train", "index": 7011}
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: Emily, Mason, Michael, Sebastian, Grace, Harper, Aria, Ava, and James. According to Emily, \"Michael is a hero\". \"(Michael is a hero and Ava is a v...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 344, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 7]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], ...
{"split": "train", "index": 7012}
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, Grace, Ava, Luke, Isabella, Samuel, Alexander, Charlotte, and Emily. As Ethan put it, \"if (Alexander is a laggard and Alexander is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 345, \"statements\": [[\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6...
{"split": "train", "index": 7013}
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, Avery, Liam, Logan, Amelia, Grace, Owen, Olivia, and Oliver. Luke noted, \"(if Luke is a saint then Olivia is a saint) if and only if (Olivia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 346, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"and\", [\"lying\", 7], [\"lying\", 6]]], [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lyin...
{"split": "train", "index": 7014}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jacob, Riley, Sophia, James, Abigail, Zoey, Harper, Charlotte, and Olivia. Jacob noted, \"(Harper is a devil and Harper is an angel) if and only if (Ol...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 347, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 2...
{"split": "train", "index": 7015}
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, Emma, Ella, Aria, Matthew, Emily, William, Sofia, and Grace. Olivia said that if (if Sofia is a sage then William is a sage) then (William is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 348, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"or\", [\"lying\", 6], [\"lying\", 7]]], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 0]], [\"or\", [\"lying\", 8], [\"telling-truth...
{"split": "train", "index": 7016}
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, Victoria, Mason, William, Daniel, Owen, Logan, Alexander, and Lily. Isabella expressed that William is a devil. Victoria stated, \"(Daniel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 349, \"statements\": [[\"lying\", 3], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 0]], [\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 6]], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"lyi...
{"split": "train", "index": 7017}
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, Luke, Sofia, Benjamin, Olivia, Jack, Ella, Sophia, and Logan. Amelia noted, \"(if Jack is a villain then Benjamin is a villain) and (Luke is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 350, \"statements\": [[\"and\", [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 3], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"and\", [\"t...
{"split": "train", "index": 7018}
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: Victoria, Elizabeth, Ava, Amelia, Noah, Ella, Isabella, Charlotte, and James. Victoria said, \"it is not the case that (if Noah is a knave then Victo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 351, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"lying\", 5]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 5], [\"lying\", 0]]], [\"<=...
{"split": "train", "index": 7019}
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: Mia, Owen, Joseph, Ava, Zoey, Sophia, Ella, Oliver, and Logan. Mia asserted: \"(Logan is an egoist) and (if Zoey is an egoist then Oliver is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 352, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"lying\", 6]], [\"or\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"->\", [\"telling-t...
{"split": "train", "index": 7020}
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, Aria, Michael, Aiden, Jack, Logan, Amelia, Emily, and Samuel. \"Jack is a laggard\" - Zoey. In Aria's words: \"(Emily is a pioneer or Sam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 353, \"statements\": [[\"lying\", 4], [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"lying\", 7], [\"not\", [\"telling-truth\", 1]]], ...
{"split": "train", "index": 7021}
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, Ethan, Aurora, Victoria, Samuel, Aria, Emily, Zoey, and Ella. Penelope asserted: \"Ethan is a villain\". Ethan stated, \"Zoey is a villain\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 354, \"statements\": [[\"lying\", 1], [\"lying\", 7], [\"lying\", 1], [\"telling-truth\", 5], [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\...
{"split": "train", "index": 7022}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Joseph, Noah, Mia, Evelyn, Aiden, Owen, Michael, Grace, and Chloe. Joseph was heard saying, \"Chloe is a villain\". As Noah put it, \"(Evelyn is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 355, \"statements\": [[\"lying\", 8], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [...
{"split": "train", "index": 7023}
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, Mason, Henry, Alexander, Olivia, Charlotte, Aurora, Abigail, and Scarlett. Chloe asserted: \"Alexander is a knight\". Mason was heard saying, ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 356, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 0]], [\"and\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 8]]],...
{"split": "train", "index": 7024}
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: Benjamin, Emily, Owen, Charlotte, Olivia, Penelope, Henry, Grace, and Joseph. Benjamin stated, \"Charlotte is a knight and (Grace is a knight)\". Emi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 357, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"not\", [\"lying\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 6]], [\"->\", [\"or\", [\"t...
{"split": "train", "index": 7025}
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, Penelope, Jackson, Jacob, Mia, Lily, Lucas, Liam, and Isabella. \"Mia is a laggard,\" Abigail claimed. \"(Lily is a pioneer) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 358, \"statements\": [[\"lying\", 4], [\"<=>\", [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 6], [\"not\", [\"telling-truth\", 6]]], [\"and\", [\"and\", [\"lying\...
{"split": "train", "index": 7026}
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, Sebastian, Liam, Jacob, Olivia, Victoria, Avery, Henry, and David. \"(Jacob is a sage if and only if David is a sage) or (David is a sage),\" Abig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 359, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"not\", [\"lying\", 8]]], [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"t...
{"split": "train", "index": 7027}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Henry, Isabella, William, Penelope, James, Noah, Lucas, Jack, and Avery. As Henry put it, \"(if Penelope is a pioneer then Penelope is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 360, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2]...
{"split": "train", "index": 7028}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Benjamin, Abigail, Evelyn, Owen, Luke, Charlotte, Sofia, Sophia, and Noah. Benjamin said that Owen is a sage. \"(Luke is a fool or Abigail is a sage) or (E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 361, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 6], [\"lying\", 5]], [\"->\", [\"telling-truth\", 2...
{"split": "train", "index": 7029}
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: Luke, Harper, Aurora, Riley, James, Amelia, Charlotte, Owen, and Elizabeth. Luke said that if Owen is a knave then (Amelia is a knave or Amelia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 362, \"statements\": [[\"->\", [\"lying\", 7], [\"or\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"telling-truth\", 2], [\"->\", [\"or\", [\"lying\", 6], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 7], [\"telling-...
{"split": "train", "index": 7030}
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: Noah, Aria, Isabella, Jackson, Aiden, Ava, Zoey, Michael, and David. Noah said, \"(Isabella is an egoist if and only if Aiden is an altruist) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 363, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 7]], [\"<=>\", [\"lying\", 8], [\"lying...
{"split": "train", "index": 7031}
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, Avery, Charlotte, Ava, Liam, Joseph, Isabella, Sebastian, and David. James commented, \"it is not the case that (Ava is a pioneer or Cha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 364, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 5]], [\"or\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"telling-truth\", ...
{"split": "train", "index": 7032}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Victoria, Olivia, Emma, Liam, James, Alexander, Scarlett, Riley, and Ella. Victoria commented, \"Liam is a saint\". Olivia said, \"it is not the case...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 365, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"lying\", 7], [\"lying\", 1]], [\"->\", [\"telling-truth\", 6], [\"lying\", 0]]], [\"or\", [\"<=>...
{"split": "train", "index": 7033}
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, Owen, Grace, Riley, Joseph, Jacob, William, Scarlett, and Matthew. Abigail expressed that it is not the case that (Grace is a villain if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 366, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 8]]], [\"and\", [\"->\", [\"lying\", 8], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 6], [\...
{"split": "train", "index": 7034}
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, Riley, Emma, Alexander, Aurora, Liam, Samuel, Mia, and Owen. In Daniel's words: \"(if Owen is a fool then Samuel is a sage) and Mia is a fool\". \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 367, \"statements\": [[\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 6]], [\"lying\", 7]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], ...
{"split": "train", "index": 7035}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Noah, Mia, Jacob, Samuel, Chloe, Ava, Benjamin, Amelia, and Ethan. Noah asserted: \"Benjamin is a knave and Mia is a knave\". According to Mia, \"Ava...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 368, \"statements\": [[\"and\", [\"lying\", 6], [\"lying\", 1]], [\"not\", [\"lying\", 5]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]], [\"lying\", 3]], [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"->\", [\...
{"split": "train", "index": 7036}
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, Ethan, Liam, Noah, Harper, Sofia, Ella, and Chloe. Evelyn said that (Liam is a sage or Chloe is a sage) or (Harper is a fool or Chloe is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 369, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"or\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"lying\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]], [\"<=>\", ...
{"split": "train", "index": 7037}
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, Harper, Oliver, Aurora, Joseph, Isabella, Benjamin, Jackson, and Zoey. \"(Harper is an angel) if and only if (Amelia is an angel and Joseph is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 370, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]], [\"and\", [\"telling-truth\", 6], [\"lying\", 3]]], [\...
{"split": "train", "index": 7038}
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: Jack, William, Scarlett, Abigail, Mason, Lily, Sophia, Mia, and Aurora. \"(William is a sinner if and only if Mason is a saint) if and only if (if Mi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 371, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 7]], [\"lying\", 3]], [\"tel...
{"split": "train", "index": 7039}
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, Isabella, Avery, Alexander, Mason, Jack, Grace, Emily, and Mia. David expressed that (Alexander is a sinner if and only if Emily is a sinner) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 372, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"not\", [\"lying\", 6]]], [\"not\", [\"or\", [\"lying\", 6], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [...
{"split": "train", "index": 7040}
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, Michael, Henry, Ethan, Mia, Abigail, Scarlett, Sophia, and Jackson. Jack said, \"(if Scarlett is a sage then Ethan is a sage) and (Abigail is a fool ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 373, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 5], [\"lying\", 8]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]], [\"or\", [\"lying\", 6], [\"tell...
{"split": "train", "index": 7041}
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, Scarlett, Amelia, Mia, Charlotte, Oliver, Liam, Evelyn, and Jacob. Ethan remarked, \"Mia is a laggard\". As Scarlett put it, \"(Liam is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 374, \"statements\": [[\"lying\", 3], [\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"lying\", 7], [\"lying\", 2], [\"->\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\"...
{"split": "train", "index": 7042}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Harper, Jackson, David, Emma, Benjamin, Zoey, Evelyn, Aurora, and Daniel. \"Zoey is a hero,\" Harper claimed. Jackson told you that (Harper is a vill...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 375, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 6]], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"->\", [...
{"split": "train", "index": 7043}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Noah, Harper, Olivia, Lucas, Victoria, Aria, Emily, David, and Elizabeth. Noah said, \"if (if Harper is a knight then Olivia is a knight) then (Lucas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 376, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"and\", ...
{"split": "train", "index": 7044}
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, Sofia, Ava, Emily, Harper, Evelyn, Oliver, Abigail, and Scarlett. Michael remarked, \"Evelyn is an egoist and (Ava is an egoist if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 377, \"statements\": [[\"and\", [\"lying\", 5], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"t...
{"split": "train", "index": 7045}
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, Daniel, Riley, Jackson, Liam, Emma, Isabella, Harper, and Ella. \"(Jackson is an altruist if and only if Riley is an egoist) or Daniel i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 378, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 7], [\"->\", [\"lying\", 2], [\"lying\", 8]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"tel...
{"split": "train", "index": 7046}
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, Abigail, Jackson, Charlotte, Sofia, Emily, Elizabeth, Liam, and Aria. \"Jackson is a hero and (if Charlotte is a villain then Aria is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 379, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"->\", [\"lying\", 3], [\"lying\", 8]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6]], [\"or\", [\"lying\", 6], [\"lying\", 2]]], [\"telling-truth\", 6],...
{"split": "train", "index": 7047}
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: Riley, Amelia, Sofia, Alexander, Avery, Jacob, Aria, Aurora, and Emily. According to Riley, \"if (Emily is a hero or Avery is a hero) then (Aria is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 380, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"or\", [\"lying\", 8], [\"and\", [\"lying\", 7], [\"telling-truth\", 8]]], ...
{"split": "train", "index": 7048}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Harper, James, Ethan, Jack, Abigail, Chloe, Aiden, Sebastian, and Olivia. \"it is not the case that (James is a knave),\" Harper claimed. James said,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 381, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"lying\", 6], [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"and\", [\"telling...
{"split": "train", "index": 7049}
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, William, Harper, Matthew, Logan, Mia, Jack, Joseph, and Lily. Emma stated, \"Logan is a villain\". William said that Mia is a villain. Harper a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 382, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"lying\", 5], [\"->\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 7], [\"lying\", 0]]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"telling-truth\...
{"split": "train", "index": 7050}
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, Abigail, David, Emma, Liam, Riley, Penelope, Olivia, and Emily. Joseph told you that (David is a pioneer and Liam is a pioneer) and (if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 383, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 8]], [\"or\", [\"lying...
{"split": "train", "index": 7051}
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: Penelope, Scarlett, William, Mia, Sophia, Ella, Emily, Mason, and Elizabeth. \"if (if Mia is an altruist then Sophia is an egoist) then (Emily ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 384, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"not\", [\"lying\", 7]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 6]], [\"ly...
{"split": "train", "index": 7052}
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, Emily, Owen, Luke, Emma, Abigail, Matthew, Liam, and Harper. Sebastian noted, \"(Liam is an angel if and only if Emma is a devil) and (Harpe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 385, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]], [\"<=>\", [\"lying\", 8], [\"lying\", 4]]], [\"lying\", 0], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"<=>\", [\"te...
{"split": "train", "index": 7053}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Benjamin, Amelia, Jackson, Ethan, Harper, Matthew, Jack, Sophia, and Olivia. As Benjamin put it, \"Amelia is an angel\". In Amelia's words: \"(if Olivi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 386, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"lying\", 8], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"not\", [\"telling-truth\", 5]], [\"->\", [\"<=>\", [\"telling-truth\", 0],...
{"split": "train", "index": 7054}
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, Chloe, Liam, Olivia, David, Avery, Daniel, Matthew, and Victoria. Jackson said, \"(David is a knave and Victoria is a knave) and (Avery is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 387, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"lying\", 8]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"lying\", 7], [\"telling-truth\", 5], [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]]...
{"split": "train", "index": 7055}
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, Sofia, Ella, David, Joseph, Emma, Jackson, Aiden, and Logan. Matthew said, \"if (if Aiden is a knave then Logan is a knave) then Joseph is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 388, \"statements\": [[\"->\", [\"->\", [\"lying\", 7], [\"lying\", 8]], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 5], [\"not\", [\"and\"...
{"split": "train", "index": 7056}
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, Scarlett, Abigail, Isabella, Chloe, Grace, Elizabeth, Sophia, and Lily. In a statement by Amelia: \"(Scarlett is an altruist) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 389, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"<=>\", [\"lying\", 6], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\"...
{"split": "train", "index": 7057}
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: Logan, James, Sofia, Ava, Ella, Jackson, Oliver, Zoey, and Noah. Logan said, \"Noah is a devil and (if Sofia is an angel then James is an angel).\" Jam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 390, \"statements\": [[\"and\", [\"lying\", 8], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 5], [\"<=>\", [\"lying\", 8], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 1]]], [\"telling-truth\...
{"split": "train", "index": 7058}
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, Aurora, Logan, Oliver, Emma, Jack, Lucas, Abigail, and Sophia. Grace commented, \"Aurora is a hero and (Abigail is a villain and Emma is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 391, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"and\", [\"lying\", 7], [\"lying\", 4]]], [\"telling-truth\", 0], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]...
{"split": "train", "index": 7059}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Daniel, Jacob, Liam, Mason, Scarlett, James, Chloe, Sophia, and Victoria. Daniel was heard saying, \"if (Liam is a knave) then (if Victoria is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 392, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 8], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"lying\", 1], [\"not\", [\"telling-...
{"split": "train", "index": 7060}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jacob, Noah, Mason, Jack, Oliver, Sebastian, Ella, Harper, and Jackson. \"(Oliver is a sage if and only if Noah is a fool) if and only if (Harper is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 393, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]], [\"lying\", 8]], [\"or\...
{"split": "train", "index": 7061}
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, Luke, Mia, Ethan, Henry, Elizabeth, Sophia, Emma, and Alexander. In Sofia's words: \"(Mia is an egoist or Sofia is an altruist) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 394, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"or\", [\"telling-truth\", 8], [\"and\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"or\"...
{"split": "train", "index": 7062}
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, Sofia, Daniel, Riley, William, Jacob, Chloe, Matthew, and Jackson. Penelope told you that if (Chloe is a fool) then Jacob is a fool. Sofia noted,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 395, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 6]], [\"lying\", 5]], [\"->\", [\"lying\", 2], [\"or\", [\"lying\", 5], [\"lying\", 7]]], [\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\...
{"split": "train", "index": 7063}
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: Emma, Emily, Benjamin, Amelia, Olivia, Lily, Liam, Henry, and Ethan. \"if (Amelia is a fool) then (Ethan is a fool and Ethan is a sage),\" Emma mentioned. ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 396, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"n...
{"split": "train", "index": 7064}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Joseph, Penelope, Scarlett, Samuel, Sebastian, Victoria, Aiden, Harper, and Charlotte. Joseph commented, \"(if Samuel is a hero then Charlotte is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 397, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"lying\", 2], [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 8]], [\"->\", [\"lying...
{"split": "train", "index": 7065}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ella, Liam, Amelia, Emily, Daniel, Isabella, Mia, David, and William. Ella remarked, \"if Daniel is an egoist then (Isabella is an altruist or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 398, \"statements\": [[\"->\", [\"lying\", 4], [\"or\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 6]]], [\"<=>\", [\"or\", [\"l...
{"split": "train", "index": 7066}
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, Oliver, Abigail, Alexander, Scarlett, Aria, Jacob, Ella, and Owen. \"(Abigail is a villain if and only if Owen is a villain) and (Owen is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 399, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 8]], [\"<=>\", [\"lying\", 8], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 0]], [\"telling-truth\", 7]], [\"and\", [\"or\", [\"l...
{"split": "train", "index": 7067}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mason, Owen, Aria, Amelia, Alexander, Benjamin, Logan, Sofia, and Henry. As Mason put it, \"(Benjamin is an altruist and Logan is an egoist) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 400, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6]], [\"and\", [\"lying\", 3], [\"lying\", 6]]], [\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\"...
{"split": "train", "index": 7068}
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, Emma, Abigail, Elizabeth, David, Sofia, Lily, Scarlett, and Samuel. Sophia told you that Scarlett is a laggard if and only if (David is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 401, \"statements\": [[\"<=>\", [\"lying\", 7], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"->\", [\"telling-truth\", 5], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth...
{"split": "train", "index": 7069}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Chloe, Matthew, Alexander, Sebastian, Emily, Jacob, Henry, Michael, and Daniel. Chloe said that (Henry is a pioneer and Emily is a pioneer) if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 402, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 1]]], [\"<=...
{"split": "train", "index": 7070}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: David, Zoey, Jacob, Ava, Owen, Matthew, James, Aiden, and Sofia. \"if (Owen is a knave) then (Owen is a knight or Jacob is a knight)\" - David. Zoey ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 403, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 5]], [\"lying...
{"split": "train", "index": 7071}
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: Noah, Harper, Victoria, Abigail, Oliver, Chloe, Daniel, Riley, and Scarlett. Noah told you that Riley is an altruist. Harper asserted: \"(Danie...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 404, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"lying\", 2]]], [\"telling-truth\", 1], [\"and\", [\"lying\", 0], [\"or\", [\"telling-truth...
{"split": "train", "index": 7072}
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: Jack, Zoey, Grace, Sophia, Amelia, Chloe, Sebastian, Victoria, and Joseph. In a statement by Jack: \"Joseph is a sinner\". Zoey said, \"Chloe is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 405, \"statements\": [[\"lying\", 8], [\"lying\", 5], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 3]], [\"lying\", 8], [\"not\", [\"lying\", 1]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth...
{"split": "train", "index": 7073}
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: Daniel, Mason, Grace, Victoria, Benjamin, Logan, Lily, Harper, and Oliver. Daniel said that (Victoria is a pioneer and Logan is a pioneer) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 406, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 6]]], [\"not\", [\"or\", [\...
{"split": "train", "index": 7074}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Owen, Noah, Daniel, Ella, Oliver, Riley, Logan, Ethan, and Mia. In a statement by Owen: \"Riley is a saint and (Mia is a saint and Owen is a saint)\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 407, \"statements\": [[\"and\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"tel...
{"split": "train", "index": 7075}
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, Charlotte, Lily, Benjamin, Alexander, Ethan, Mason, Riley, and Penelope. In a statement by Chloe: \"(Charlotte is a saint if and only if Charl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 408, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 5]], [\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 6]], [\"lying\", 8]], [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"lyi...
{"split": "train", "index": 7076}
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, Emma, Charlotte, Riley, Mia, David, Matthew, Owen, and Emily. In a statement by Samuel: \"if Emily is a hero then (Emily is a hero or Emma is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 409, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"->\", [\"lying\", 7], [\"not\", [\"lying\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"or\",...
{"split": "train", "index": 7077}
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: Mia, Luke, Liam, James, Penelope, Ava, Jackson, Evelyn, and Joseph. Mia said, \"(Penelope is an altruist and Jackson is an egoist) and Luke is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 410, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 6]], [\"telling-truth\", 1]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"->\", [\"->\", [\"t...
{"split": "train", "index": 7078}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Abigail, Aiden, Lucas, Charlotte, Joseph, Evelyn, Elizabeth, Emma, and Jack. Abigail said that if Evelyn is a sinner then (if Aiden is a saint then E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 411, \"statements\": [[\"->\", [\"lying\", 5], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [...
{"split": "train", "index": 7079}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ella, Ethan, Evelyn, Mia, Logan, Amelia, Noah, Avery, and Charlotte. Ella noted, \"Noah is a knave\". In Ethan's words: \"Charlotte is a knave or (El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 412, \"statements\": [[\"lying\", 6], [\"or\", [\"lying\", 8], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6]]...
{"split": "train", "index": 7080}
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, Lily, Jack, Sebastian, Benjamin, Riley, William, David, and Olivia. Sofia remarked, \"Jack is a pioneer\". \"(if Sebastian is a laggard ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 413, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 8]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]], [\"not\", [\"...
{"split": "train", "index": 7081}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: David, Charlotte, Grace, Oliver, Liam, Sophia, Lucas, Olivia, and Aiden. David said that Oliver is a sage. Charlotte asserted: \"Grace is a sage\". Grace a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 414, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 2], [\"->\", [\"lying\", 0], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", ...
{"split": "train", "index": 7082}
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: Emily, Daniel, Owen, Lucas, Logan, Ava, Jacob, Oliver, and Ethan. In a statement by Emily: \"(Lucas is a knave) if and only if (Oliver is a knight)\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 415, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 7]]], [\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 3]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 5]], [\"or\", [\"lying\"...
{"split": "train", "index": 7083}
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: Jackson, William, Scarlett, Emma, Elizabeth, Sofia, Zoey, Logan, and Isabella. Jackson asserted: \"(Isabella is a hero and Logan is a hero) or (Willi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 416, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 6]], [\"and\", [\"lying\", 4], [\"telling-truth\", 7...
{"split": "train", "index": 7084}
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, Michael, Matthew, Emma, Owen, Harper, Sebastian, Isabella, and Aria. In a statement by Mia: \"Harper is a sinner\". According to Michael, \"if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 417, \"statements\": [[\"lying\", 5], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 8]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"o...
{"split": "train", "index": 7085}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ella, Aria, Evelyn, Lily, Isabella, Oliver, Owen, Grace, and Victoria. Ella said that (Aria is a villain if and only if Oliver is a hero) and (if Eve...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 418, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 5]], [\"->\", [\"lying\", 2], [\"lying\", 7]]], [\"and\", [\"<=>\", [\"lying\", 7], [\"lying\", 3]], [\"->\", [\"lying\", 8], [\"telling-truth\", 8]...
{"split": "train", "index": 7086}
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: Emily, Zoey, Ella, Henry, Samuel, Alexander, Matthew, David, and Isabella. \"(if Henry is a knave then David is a knave) if and only if (if Zoey is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 419, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 7]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"an...
{"split": "train", "index": 7087}
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: Mason, Logan, Evelyn, Harper, Ella, James, Ava, William, and Mia. According to Mason, \"(Ava is a hero and Mia is a villain) or (James is a villain)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 420, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"and\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 5], [\...
{"split": "train", "index": 7088}
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: Mia, David, Evelyn, Benjamin, Jack, William, Zoey, Mason, and Olivia. According to Mia, \"(William is a villain or William is a hero) or (Benjamin is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 421, \"statements\": [[\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\",...
{"split": "train", "index": 7089}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Henry, Mason, Emily, Michael, James, Mia, Samuel, Aiden, and Harper. Henry asserted: \"Aiden is a knight\". Mason said that (if Mia is a knave then J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 422, \"statements\": [[\"telling-truth\", 7], [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 7], [\"not\", [\"lying\", 7]]], [\"lying\", 6], [\"not\", [\"lying...
{"split": "train", "index": 7090}
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, Riley, Aria, Samuel, Matthew, Joseph, Ava, Jackson, and Isabella. \"(if Riley is a saint then Jackson is a sinner) if and only if (Samuel i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 423, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 7]], [\"not\", [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"->\", [\"lying\", 7], [\"telling-truth\", 7]]...
{"split": "train", "index": 7091}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: David, Riley, Aiden, Chloe, Aurora, Jack, Jackson, William, and Sofia. David remarked, \"(if William is a hero then Sofia is a villain) and (Jackson ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 424, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 7]]], [\"and\", [\"->\", [\"telling-...
{"split": "train", "index": 7092}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Samuel, David, Grace, Alexander, Ava, Ella, Scarlett, Logan, and Owen. According to Samuel, \"(David is a devil and Ella is a devil) if and only if (if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 425, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 5]], [\"->\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"te...
{"split": "train", "index": 7093}
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, Daniel, Sofia, Joseph, Noah, Samuel, Alexander, Jackson, and Chloe. Lily said, \"Noah is a villain.\" Daniel told you that Sofia is a villain. ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 426, \"statements\": [[\"lying\", 4], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 6]], [\"<=>\", [...
{"split": "train", "index": 7094}
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: Mia, Noah, Logan, Emily, Lucas, Evelyn, Ella, Joseph, and Lily. Mia was heard saying, \"Joseph is a knave\". \"(if Ella is a knave then Mia is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 427, \"statements\": [[\"lying\", 7], [\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"lying\", 8], [\"or\", [\"not\", [\"lying\", 5]], [\"telling-truth\...
{"split": "train", "index": 7095}
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: Avery, Chloe, Luke, Aiden, Charlotte, Owen, Samuel, William, and Olivia. Avery commented, \"if (Owen is a knave and William is a knave) then (Samuel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 428, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"lying\", 7]], [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 5...
{"split": "train", "index": 7096}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Samuel, David, Emma, Avery, Owen, Aurora, Charlotte, Scarlett, and William. Samuel was heard saying, \"it is not the case that (if Owen is a devil then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 429, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 8], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"not\", [...
{"split": "train", "index": 7097}
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, Samuel, Mason, Lucas, Abigail, Aiden, Riley, Ella, and Ava. Chloe was heard saying, \"Mason is an altruist\". As Samuel put it, \"Mason ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 430, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"lying\", 2], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"not\", [\"an...
{"split": "train", "index": 7098}
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, Jackson, Daniel, Emily, Matthew, Joseph, Elizabeth, Zoey, and Grace. Emma said, \"Matthew is a knave.\" \"it is not the case that (Emma is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 431, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"ly...
{"split": "train", "index": 7099}