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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, Sebastian, Sophia, Harper, Chloe, Joseph, Oliver, Mason, and Lily. Sofia noted, \"if (Oliver is an altruist) then Lily is an egoist\". S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1788, \"statements\": [[\"->\", [\"not\", [\"lying\", 6]], [\"lying\", 8]], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 5], [\"telling-truth\", 8]], [\"and\", [\"lying\", 7], [\"telling-truth\", 4], [\"lying\", 3]], [\"tell...
{"split": "train", "index": 12900}
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, Mia, Ava, Jackson, Aurora, Chloe, Logan, Jack, and Charlotte. Olivia asserted: \"(Jackson is an egoist if and only if Logan is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1789, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 6]], [\"telling-truth\", 5]], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"an...
{"split": "train", "index": 12901}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Lily, Chloe, Ethan, Olivia, Lucas, Victoria, Logan, Elizabeth, and Zoey. Lily expressed that (Ethan is a devil if and only if Lucas is an angel) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1790, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 4]]], [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]]],...
{"split": "train", "index": 12902}
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, Luke, Aria, Penelope, Daniel, Victoria, Chloe, and Lucas. Amelia said, \"Penelope is an altruist.\" Scarlett asserted: \"(Chl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1791, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8], [\"lying\", 0], [\"telling-truth\", 2]], [\"lying\", 5...
{"split": "train", "index": 12903}
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: Evelyn, Emma, Olivia, Ella, Liam, Michael, Mason, Sebastian, and Mia. \"Olivia is a laggard,\" Evelyn mentioned. Emma said that if (Evelyn is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1792, \"statements\": [[\"lying\", 2], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"or\", [\...
{"split": "train", "index": 12904}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sebastian, Charlotte, Liam, Jack, Elizabeth, Oliver, Noah, Benjamin, and Emily. Sebastian stated, \"(Sebastian is a sage and Jack is a sage and Jack is a f...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1793, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"<=>\"...
{"split": "train", "index": 12905}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Aurora, David, Isabella, Charlotte, Jackson, Lily, Abigail, Avery, and Alexander. As Aurora put it, \"Alexander is an altruist\". In a statemen...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1794, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 8], [\"telling-truth\", 6]], [\"telling-truth\", 8]], [\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 5], [\"telling-t...
{"split": "train", "index": 12906}
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: Oliver, Harper, Ethan, Chloe, Elizabeth, Owen, Ella, Jack, and Amelia. In a statement by Oliver: \"if (Ethan is an egoist) then Amelia is an eg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1795, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 8]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 8], [\"lying\", 8]], [\"or\",...
{"split": "train", "index": 12907}
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: William, Chloe, Aurora, Mason, Abigail, Jack, Ava, James, and Sebastian. In a statement by William: \"Aurora is a devil and (Aurora is an angel if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1796, \"statements\": [[\"and\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"l...
{"split": "train", "index": 12908}
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: Luke, Joseph, Zoey, Evelyn, Lucas, Sophia, Penelope, Aurora, and Daniel. Luke said that Joseph is a villain. In Joseph's words: \"(Sophia is a hero a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1797, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 0]], [\"<=>\", [\"lying\", 8], [\"lying\", 3]], [\"telling-truth\", 6], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"<=>\",...
{"split": "train", "index": 12909}
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: James, Benjamin, Ethan, Aiden, William, Sofia, Jackson, Alexander, and Logan. \"(if Alexander is a sage then Benjamin is a sage) or Ethan is a sage or (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1798, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"telling-truth\", 2], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 3]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], ...
{"split": "train", "index": 12910}
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, Noah, Benjamin, Daniel, Henry, Scarlett, Jacob, Grace, and Emma. Lucas was heard saying, \"(Scarlett is a laggard if and only if Scarlet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1799, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\",...
{"split": "train", "index": 12911}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Charlotte, Ella, Isabella, Zoey, Jacob, Noah, Emma, Aria, and Henry. In Charlotte's words: \"Isabella is a villain if and only if Isabella is a hero\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1800, \"statements\": [[\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]], [\"->\", [\"lying\", 2], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 0]], [\"or\",...
{"split": "train", "index": 12912}
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, Olivia, Oliver, Jackson, Michael, Henry, Ethan, Samuel, and Victoria. Abigail asserted: \"(Olivia is a laggard if and only if Victoria...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1801, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5], [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 6], [\"tellin...
{"split": "train", "index": 12913}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Riley, Abigail, Jacob, Noah, Sofia, Liam, Oliver, Luke, and Elizabeth. Riley said, \"(Jacob is a sage and Noah is a fool and Liam is a fool) or (Noah is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1802, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 5]], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 7], [\"lying\", 5]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [...
{"split": "train", "index": 12914}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Oliver, Jackson, Henry, Mia, Ava, Sofia, Sophia, William, and Riley. Oliver said that it is not the case that (if Riley is a knave then Sofia is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1803, \"statements\": [[\"not\", [\"->\", [\"lying\", 8], [\"lying\", 5]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 6]], [\"->\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"and\", [\"or\", [\"lying\", 6], [\"lying\", ...
{"split": "train", "index": 12915}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Grace, Riley, Luke, Joseph, Sebastian, Ella, Sophia, Benjamin, and Emma. In a statement by Grace: \"if (Ella is a saint or Sophia is a sinner) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1804, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 7]], [\"lying\", 8], [...
{"split": "train", "index": 12916}
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: Luke, Zoey, Evelyn, Jackson, Sofia, James, Noah, Elizabeth, and Liam. Luke stated, \"(Sofia is an egoist or Evelyn is an altruist) and Jackson ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1805, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 4]], [\"and\", [\"lyi...
{"split": "train", "index": 12917}
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, Lily, Avery, Harper, Elizabeth, Ethan, Matthew, Chloe, and Aurora. Emily said that (Harper is a knave) if and only if (Aurora is a knight and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1806, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 3]], [\"->\", [\"not\", [\"telling-truth\"...
{"split": "train", "index": 12918}
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, Henry, Penelope, Isabella, Charlotte, Zoey, Ella, Benjamin, and James. In Harper's words: \"Henry is a sinner\". In Henry's words: \"(Penelop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1807, \"statements\": [[\"lying\", 1], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 5...
{"split": "train", "index": 12919}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Henry, Isabella, Lucas, Aiden, Emma, Evelyn, Aurora, Chloe, and Olivia. \"(Isabella is an altruist if and only if Emma is an egoist) and (Emma ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1808, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 6], [\"lyi...
{"split": "train", "index": 12920}
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: Aurora, Emily, Michael, Ethan, William, Sophia, Alexander, Noah, and Ava. In Aurora's words: \"Emily is an angel\". Emily expressed that (Noah is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1809, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"not\", [\"lying\", 7]], [\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\...
{"split": "train", "index": 12921}
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, Avery, Sophia, Liam, Michael, Alexander, Penelope, Olivia, and David. Benjamin expressed that (if Penelope is an angel then Michael is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1810, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 6], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 7]]], [\"->\", [\"not\", [\"lying\", 0]], [\"lying\", 6]], [\"lyin...
{"split": "train", "index": 12922}
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: Matthew, Zoey, Mia, Alexander, David, Noah, Aiden, William, and Lily. Matthew noted, \"(Lily is a pioneer) if and only if Aiden is a laggard\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1811, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 8]], [\"lying\", 6]], [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"lying\", ...
{"split": "train", "index": 12923}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Amelia, James, Jacob, Sofia, Aurora, Isabella, Sebastian, Luke, and Olivia. As Amelia put it, \"if (if Aurora is a saint then Aurora is a sinner) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1812, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 8], [\"telling-truth\", 8]], [\"lying...
{"split": "train", "index": 12924}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: James, Riley, Penelope, Henry, David, William, Lucas, Aurora, and Charlotte. As James put it, \"if (Penelope is a saint or James is a saint) then (Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1813, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"and\", [\"lying\", 6], [\"or\", [\"lying\", 2], [\"lying\", 0], [\"telling...
{"split": "train", "index": 12925}
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, Ella, Aiden, Jackson, Scarlett, Sophia, Evelyn, Emily, and Ava. As Victoria put it, \"Jackson is a sinner if and only if (Scarlett is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1814, \"statements\": [[\"<=>\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"lying\", 8], [\"lying\", 0], [\"->\", [\"telling-truth\", 6], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [...
{"split": "train", "index": 12926}
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, Scarlett, Jackson, Abigail, Mia, Jack, Riley, Penelope, and Ella. Avery stated, \"(Riley is a knight or Abigail is a knight) or (Mia is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1815, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 5]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\"...
{"split": "train", "index": 12927}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Isabella, Ella, Joseph, Ava, Riley, Jack, Sophia, Alexander, and Aurora. Isabella expressed that (Alexander is a hero if and only if Joseph is a vill...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1816, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]], [\"not\", [\"lying\", 6]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"or\", [\"telli...
{"split": "train", "index": 12928}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ella, Joseph, Victoria, Riley, Benjamin, Emma, Liam, Lily, and Zoey. Ella noted, \"Joseph is a sage or (if Liam is a fool then Victoria is a fool) or (Emma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1817, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"->\", [\"lying\", 6], [\"lying\", 2]], [\"or\", [\"lying\", 5], [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 4], [\"telling-tr...
{"split": "train", "index": 12929}
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: Joseph, Mason, Scarlett, Ava, Zoey, Elizabeth, Victoria, Matthew, and Sebastian. In a statement by Joseph: \"Zoey is a knave or (Joseph is a knight o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1818, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 7], [\"lying\", 8]], [\"not\", [\"lying\", 6]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying...
{"split": "train", "index": 12930}
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, Sofia, Chloe, Evelyn, Henry, Abigail, James, Amelia, and Sebastian. As Logan put it, \"(if Chloe is a knave then Henry is a knave) or (James i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1819, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 6], [\"telling-truth\", 4], [\"lying\", 8], [\"lying\", 1]]], [\"lying\", 7], [\"and\", [\"and\", [\"lying\", 5], [\"lying\", 1], [...
{"split": "train", "index": 12931}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Charlotte, William, Chloe, Benjamin, Ava, Victoria, David, Luke, and Penelope. Charlotte said, \"if (Victoria is a sinner if and only if William is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1820, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 5], [\"lying\", 1]], [\"telling-truth\", 8]], [\"telling-truth\", 0], [\"lying\", 6], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\...
{"split": "train", "index": 12932}
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, Amelia, Zoey, Chloe, Sebastian, Daniel, Benjamin, Oliver, and Mia. According to Grace, \"if (Zoey is a villain if and only if Chloe is a hero)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1821, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 8], [\"telling-truth...
{"split": "train", "index": 12933}
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, Samuel, Aiden, Matthew, Ella, Ethan, William, Amelia, and Charlotte. In a statement by Noah: \"William is a saint\". \"(if Amelia is a saint th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1822, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 8], [\"lying\", 4]]], [\"or\", [...
{"split": "train", "index": 12934}
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: Aiden, Mia, Avery, Emily, Grace, Ella, Daniel, Benjamin, and Penelope. Aiden told you that (if Grace is a knight then Avery is a knave) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1823, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", ...
{"split": "train", "index": 12935}
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, Aiden, Emily, Samuel, Mia, Riley, Charlotte, Michael, and Noah. In Luke's words: \"it is not the case that (Aiden is a sinner)\". Aiden comment...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1824, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"->\", [\"lying\", 7], [\"lying\", 0]]], [\"lying\", 6], [\"->\", [\"and\", [\"lying\", 2], [\...
{"split": "train", "index": 12936}
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, Joseph, William, Daniel, Abigail, Aiden, Luke, Mason, and Harper. As Amelia put it, \"if (Luke is an angel and Joseph is an angel and Amelia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1825, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\...
{"split": "train", "index": 12937}
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, Charlotte, Matthew, Mia, Henry, Michael, Samuel, Mason, and Jacob. In Noah's words: \"Charlotte is a sage\". Charlotte said that (Jacob is a fool if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1826, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]], [\"lying\", 8], [\"or\", [\"telling-truth\", 4], [\"lying\", 8], [\"telling-truth\", 3]]], [\"telling-truth\", 0], [\"<=>\", [...
{"split": "train", "index": 12938}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Isabella, Samuel, Amelia, Aiden, Emma, William, Michael, Sebastian, and Benjamin. Isabella noted, \"if (Amelia is a pioneer) then (Benjamin is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1827, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 8]]], [\"lying\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 8]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"or\", [...
{"split": "train", "index": 12939}
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, Jack, Daniel, Michael, Emma, Amelia, Noah, Benjamin, and Avery. Sophia said, \"(Michael is an angel) and (Emma is a devil and Amelia is a devil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1828, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 5], [\"lying\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 8], [\"tel...
{"split": "train", "index": 12940}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Aria, Harper, Jackson, William, Penelope, Sofia, Emma, Evelyn, and Luke. \"(Penelope is an egoist if and only if Luke is an altruist) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1829, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]], [\"or\", [\"lying\", 5], [\"lying\", 7], [\"telling-truth\", 5]]], [\"and\", [\"telling-truth\", 5], [\"lying\", 7]], [\"not\", [\"<=>\", [\"l...
{"split": "train", "index": 12941}
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, Samuel, Zoey, Jackson, William, Logan, Jacob, Noah, and Owen. Lily was heard saying, \"it is not the case that (if Jackson is a hero then Logan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1830, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"lying\", 0], [\"->\", [\"lying\", 5], [\"lying\", 4]], [...
{"split": "train", "index": 12942}
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, Alexander, Olivia, Charlotte, Joseph, Emily, Penelope, Michael, and Sophia. Oliver was heard saying, \"Olivia is a sinner or (Michael is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1831, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]], [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 7], [\"lying\", 5], [\"lying\", 8]]], [\"or\", [\"<=>\", [\"lying\", 2], ...
{"split": "train", "index": 12943}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Emily, Oliver, Aurora, Jackson, Liam, Owen, Aiden, Alexander, and Daniel. \"(Owen is an angel or Aurora is a devil or Emily is an angel) or Liam is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1832, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 4], [\"lying\", 8]], [\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 6], [\"telling-truth\", 3], [\"te...
{"split": "train", "index": 12944}
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, Samuel, Henry, Daniel, Sebastian, William, Mia, Jackson, and James. As Emily put it, \"it is not the case that (Jackson is a knave or James is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1833, \"statements\": [[\"not\", [\"or\", [\"lying\", 7], [\"lying\", 8], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 5]], [\"not\", [\"telling-tr...
{"split": "train", "index": 12945}
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: Joseph, Sebastian, Charlotte, Henry, Lucas, Ella, Evelyn, Jacob, and James. Joseph asserted: \"James is an altruist and (Henry is an egoist) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1834, \"statements\": [[\"and\", [\"telling-truth\", 8], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"-...
{"split": "train", "index": 12946}
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: Scarlett, Jack, Sebastian, Aiden, Penelope, Benjamin, Aurora, Mia, and Jackson. Scarlett commented, \"Jack is a fool\". Jack asserted: \"it is not the case...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1835, \"statements\": [[\"lying\", 1], [\"not\", [\"and\", [\"lying\", 7], [\"lying\", 5], [\"telling-truth\", 5]]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]], [...
{"split": "train", "index": 12947}
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, Sophia, Jackson, Samuel, Olivia, Owen, Chloe, Isabella, and Emily. Benjamin was heard saying, \"(Samuel is a hero or Isabella is a hero) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1836, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"lying\", 1]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 7]], [\"<=>\", [\"lying\...
{"split": "train", "index": 12948}
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, Samuel, Scarlett, Noah, Sofia, Penelope, Abigail, Ella, and Ava. \"(Sofia is a hero or Penelope is a hero) and (if Ava is a hero then Ella is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1837, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 8], [\"lying\", 7]], [\"and\", [\"lying\", 4], [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"or\", ...
{"split": "train", "index": 12949}
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, Isabella, Amelia, Victoria, Luke, Olivia, Sofia, Samuel, and Elizabeth. In Sophia's words: \"(Sofia is a knave and Isabella is a knight and L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1838, \"statements\": [[\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 7]], [\"or\", [\"lying\", 5], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 6], [\"lying\", 3], [\"telling-...
{"split": "train", "index": 12950}
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, Lily, Isabella, Luke, Olivia, Benjamin, Scarlett, Noah, and Amelia. Mia noted, \"(Benjamin is a pioneer if and only if Olivia is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1839, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"lying\", 4]], [\"or\", [\"or\", [\"lying\", 5], [\"lying\", 6]], [\"or\", [\"telling-truth\", 8], [\"lying\", 3], [\"lying\", 0], [\...
{"split": "train", "index": 12951}
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: James, Ella, Michael, Harper, Grace, Scarlett, Owen, Olivia, and Sebastian. James said that (Scarlett is a knave and Scarlett is a knight and Michael...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1840, \"statements\": [[\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 5]], [\...
{"split": "train", "index": 12952}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Zoey, Emma, Isabella, Sofia, Aria, Emily, Sebastian, Alexander, and Ethan. According to Zoey, \"Alexander is a devil\". \"if (if Sofia is a devil then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1841, \"statements\": [[\"lying\", 7], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 8]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"not\", [\"telling-trut...
{"split": "train", "index": 12953}
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, Aurora, Jacob, Samuel, David, Lily, Michael, Emma, and Mia. Benjamin remarked, \"it is not the case that (Mia is an angel and Aurora is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1842, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 8], [\"lying\", 1], [\"lying\", 7], [\"telling-truth\", 7]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"<=>\", [\...
{"split": "train", "index": 12954}
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: Olivia, Lily, Ethan, Aria, Joseph, Benjamin, Liam, Charlotte, and William. Olivia said that William is a laggard. Lily stated, \"it is not the ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1843, \"statements\": [[\"lying\", 8], [\"not\", [\"<=>\", [\"lying\", 7], [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 5], [\"telling-truth\", 8], [\"lying\", 0]], [\"lying\", 7], [\"telling-truth\...
{"split": "train", "index": 12955}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Mason, Logan, Harper, Sofia, Scarlett, Victoria, Isabella, Ethan, and Liam. In a statement by Mason: \"Ethan is a saint\". Logan was heard saying, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1844, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 0], [\"or\", [\"lying\", 3], [\"telling-truth\", 4...
{"split": "train", "index": 12956}
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: Riley, Emily, Luke, Sofia, Samuel, Liam, Emma, Victoria, and James. According to Riley, \"if (Victoria is a knave if and only if Liam is a knight) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1845, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 6]], [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 2...
{"split": "train", "index": 12957}
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, Aria, Daniel, Zoey, Sophia, Sofia, Abigail, Emma, and Alexander. \"(if Alexander is a knave then Zoey is a knave) if and only if (if Sofia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1846, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 8], [\"lying\", 3]], [\"->\", [\"lying\", 5], [\"lying\", 3]]], [\"and\", [\"lying\", 7], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 5], [\"lying\", 7], [\"lying\...
{"split": "train", "index": 12958}
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, Ethan, Matthew, Benjamin, Logan, Avery, Sebastian, Samuel, and William. \"(Benjamin is a pioneer) if and only if (Sebastian is a pioneer)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1847, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 6]]], [\"<=>\", [\"lying\", 6], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]], [...
{"split": "train", "index": 12959}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: William, Benjamin, Sebastian, Mason, Elizabeth, Luke, Olivia, Jack, and Jacob. William was heard saying, \"(Luke is a knight if and only if Olivia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1848, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 6], [\"lying\"...
{"split": "train", "index": 12960}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aiden, Olivia, Sofia, James, Isabella, Evelyn, Ava, Michael, and Scarlett. Aiden noted, \"if (Scarlett is a laggard and Sofia is a laggard and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1849, \"statements\": [[\"->\", [\"and\", [\"lying\", 8], [\"lying\", 2], [\"lying\", 1]], [\"lying\", 2]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 7], [\"lying\", 4], [\"lying\", 0]], [\"lying\", 3]], [\"telling-truth\...
{"split": "train", "index": 12961}
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, Scarlett, Zoey, Lucas, Ella, Jack, Lily, Jacob, and Ethan. \"Zoey is a sinner,\" Aria declared. Scarlett remarked, \"if (Ethan is a saint) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1850, \"statements\": [[\"lying\", 2], [\"->\", [\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 6], ...
{"split": "train", "index": 12962}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Amelia, Daniel, Aurora, Joseph, Logan, Benjamin, Aria, Aiden, and Charlotte. Amelia said that (Aiden is a sinner) or Aria is a saint or (Joseph is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1851, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 6], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 1], [\"tellin...
{"split": "train", "index": 12963}
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: Lucas, Ethan, Daniel, Noah, Jack, Jacob, Elizabeth, Luke, and Aiden. Lucas said, \"if (Noah is a saint if and only if Daniel is a saint) then (Noah i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1852, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"or\", [\"telling-truth\", 6], [\"telling-tru...
{"split": "train", "index": 12964}
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: Alexander, Henry, Avery, Oliver, Emily, James, Sofia, Owen, and Joseph. \"it is not the case that (Joseph is an altruist and Owen is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1853, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7], [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"lying\", 7], [\"lying\", 5]], [\"not\", [\"lyin...
{"split": "train", "index": 12965}
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, Luke, Ava, Ethan, Chloe, Benjamin, Matthew, Avery, and Lucas. Sophia remarked, \"(if Avery is a saint then Lucas is a saint) and (Lucas is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1854, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-tr...
{"split": "train", "index": 12966}
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, Logan, Scarlett, Grace, Ethan, Amelia, Sebastian, Samuel, and Aiden. \"(Aiden is a knave if and only if Samuel is a knave) if and only if (if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1855, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]], [\"->\", [\"lying\", 8], [\"lying\", 4]]], [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\...
{"split": "train", "index": 12967}
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, Jackson, Zoey, Avery, Penelope, Ethan, Aria, Samuel, and Emma. \"if (if Emma is an egoist then Zoey is an altruist) then (Emma is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1856, \"statements\": [[\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 2]], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2...
{"split": "train", "index": 12968}
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: Mia, Harper, Zoey, William, Ella, Evelyn, Avery, Matthew, and Jacob. Mia said that if (Evelyn is an angel) then (if Zoey is an angel then Ella is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1857, \"statements\": [[\"->\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"lying\", 0], [\"telling-truth\", 5]], [\"lying\", 6], [\"lying\", 4], [\"and\", [\"not\", [\"telling-tru...
{"split": "train", "index": 12969}
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, Sofia, Olivia, James, Amelia, Mason, Jacob, Zoey, and Matthew. \"Mason is an altruist\" - Ella. Sofia remarked, \"(Matthew is an altruist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1858, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 2]], [\"or\", [\"lying\", 0], [\"telling-truth\", 0], [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"and\", [\"lying\"...
{"split": "train", "index": 12970}
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: Olivia, Amelia, Logan, Joseph, William, Alexander, Luke, Aria, and Owen. Olivia told you that Alexander is a sinner. Amelia was heard saying, \"Owen ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1859, \"statements\": [[\"lying\", 5], [\"and\", [\"lying\", 8], [\"lying\", 5], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 0]]], [\"and\", [\"or\", [\"lying\", 0],...
{"split": "train", "index": 12971}
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, Samuel, Charlotte, Jacob, Lucas, Aiden, Alexander, Riley, and Sofia. Aria expressed that (Aria is a hero or Charlotte is a hero or Lucas is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1860, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\",...
{"split": "train", "index": 12972}
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: Liam, Noah, Matthew, Daniel, James, Michael, Abigail, Ethan, and Oliver. \"if (if James is an angel then Michael is a devil) then Michael is a devil,\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1861, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 5]], [\"lying\", 5]], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 7]], [\"not\", [\"lying\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-tru...
{"split": "train", "index": 12973}
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, Lucas, Aria, Sofia, Zoey, Benjamin, Scarlett, Lily, and Evelyn. \"(if Aria is a sage then Jacob is a sage) if and only if (if Lucas is a sage then S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1862, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"lying...
{"split": "train", "index": 12974}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Amelia, Scarlett, Olivia, David, Michael, Emily, Lucas, Chloe, and Luke. \"if (if Amelia is a saint then Lucas is a saint) then Chloe is a saint,\" A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1863, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"telling-truth\", 7]], [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 6]]], [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", ...
{"split": "train", "index": 12975}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Zoey, Chloe, Alexander, Sofia, Samuel, Matthew, Avery, Henry, and Scarlett. Zoey said, \"it is not the case that (Samuel is an angel or Alexander is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1864, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 7], [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 5]...
{"split": "train", "index": 12976}
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, Victoria, Michael, Aria, Owen, Lucas, Liam, Avery, and Evelyn. \"if (Owen is a pioneer and Victoria is a pioneer and Owen is a laggard) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1865, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]],...
{"split": "train", "index": 12977}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Mason, Isabella, Jackson, Grace, Victoria, Mia, Lucas, Emma, and David. Mason said, \"(Isabella is a knight if and only if Grace is a knave) and (Mia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1866, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 5], [\"telling-truth\", 8], [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"not\", [\"lying\", 6]], [\"and\", [\"lyi...
{"split": "train", "index": 12978}
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, Scarlett, Mason, Sofia, Isabella, Abigail, Owen, Jacob, and Alexander. Zoey remarked, \"(Isabella is a laggard and Mason is a laggard) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1867, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 2]], [\"->\", [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 6], [\"lying\", 8], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\...
{"split": "train", "index": 12979}
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, Grace, Lucas, Aiden, Daniel, Jackson, Benjamin, Ethan, and Sophia. Scarlett said that Daniel is a knight and Grace is a knave and Sophia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1868, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 8]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 7], [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling...
{"split": "train", "index": 12980}
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, Owen, Charlotte, Noah, Amelia, Ethan, Sebastian, Samuel, and Aurora. \"Ethan is a laggard\" - James. \"if (Ethan is a pioneer) then (Seb...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1869, \"statements\": [[\"lying\", 5], [\"->\", [\"not\", [\"lying\", 5]], [\"or\", [\"telling-truth\", 6], [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 6]], [...
{"split": "train", "index": 12981}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Aria, Samuel, William, Lily, Charlotte, Emily, Ella, Amelia, and Mason. Aria stated, \"if (if Ella is an altruist then Ella is an egoist) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1870, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 6]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 2], [\"telling-truth\", 7]], [...
{"split": "train", "index": 12982}
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: Aurora, Isabella, Emma, Lily, Mason, Avery, Grace, Luke, and Alexander. \"if (Isabella is a saint and Avery is a saint and Alexander is a saint) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1871, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 5], [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"n...
{"split": "train", "index": 12983}
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: Charlotte, Owen, Penelope, Avery, Olivia, Alexander, Sophia, Amelia, and Joseph. Charlotte expressed that (Penelope is a pioneer or Sophia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1872, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 6], [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 8]], [\"->\", ...
{"split": "train", "index": 12984}
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, Riley, Aurora, Ava, Mason, Emily, Grace, Mia, and Emma. David stated, \"Aurora is a knave\". \"it is not the case that (Emma is a knight or Au...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1873, \"statements\": [[\"lying\", 2], [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]], [\"and\", [\"lying...
{"split": "train", "index": 12985}
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, Jacob, Aiden, Michael, Sofia, Ava, Isabella, Zoey, and Abigail. According to Emma, \"(Isabella is a knave or Jacob is a knave or Aiden is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1874, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 6], [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 6]]], [\"or\", [\"or\", [\"telling-truth\...
{"split": "train", "index": 12986}
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, Elizabeth, Zoey, Aurora, Aria, Henry, Luke, Emily, and Olivia. Samuel expressed that Zoey is a saint. Elizabeth asserted: \"(Olivia is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1875, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"lying\", 3], [\"telling-truth\", 5], [\"lying\", 0]], [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"and\", [\"telling-tr...
{"split": "train", "index": 12987}
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, Henry, Mason, Penelope, Matthew, Aria, Emily, Ethan, and Victoria. \"if (Mason is a sinner and Mason is a saint and Matthew is a sinner and Pen...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1876, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"telling-tru...
{"split": "train", "index": 12988}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: James, Abigail, Oliver, Chloe, Benjamin, Logan, Isabella, Henry, and Lucas. In a statement by James: \"if (Lucas is a sinner and Abigail is a saint a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1877, \"statements\": [[\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"lying\", 6], [\"not\", [\"or\", ...
{"split": "train", "index": 12989}
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: Evelyn, Sofia, Isabella, Noah, Avery, Alexander, Lucas, Benjamin, and Ella. Evelyn said, \"Avery is a pioneer if and only if (Sofia is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1878, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"or\", [\"lying\", 1], [\"telling-truth\", 6], [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"tellin...
{"split": "train", "index": 12990}
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, Luke, Daniel, Ava, Aria, Jack, Harper, Noah, and Henry. \"(Henry is an angel and Daniel is a devil and Aria is an angel) and (Jack is an angel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1879, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 8], [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"<=>\...
{"split": "train", "index": 12991}
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: Avery, Grace, Ella, Charlotte, Zoey, Noah, Jackson, James, and Jacob. Avery expressed that (if Zoey is an altruist then James is an altruist) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1880, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1], [\"lying\", 3]]], [\"->\", [\"<=>\...
{"split": "train", "index": 12992}
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: Mason, Avery, Logan, Owen, James, Luke, Abigail, Aurora, and Charlotte. As Mason put it, \"Owen is a devil\". In a statement by Avery: \"Aurora is a de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1881, \"statements\": [[\"lying\", 3], [\"<=>\", [\"lying\", 7], [\"or\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"a...
{"split": "train", "index": 12993}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Owen, Benjamin, Avery, Daniel, Alexander, Chloe, Jack, Ella, and Lily. Owen stated, \"Owen is a sage or (Chloe is a fool or Daniel is a fool or Jack is a f...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1882, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"or\", [\"lying\", 5], [\"lying\", 3], [\"lying\", 6], [\"lying\", 1]], [\"or\", [\"telling-truth\", 6], [\"lying\", 5], [\"telling-truth\", 4], [\"lying\", 1]], [\"->\...
{"split": "train", "index": 12994}
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, Sebastian, Alexander, Daniel, Charlotte, Ella, Ethan, Samuel, and Emily. In a statement by Mia: \"(Ella is a villain or Ella is a hero or Alexan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1883, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5], [\"lying\", 2]], [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"lyi...
{"split": "train", "index": 12995}
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, Emily, Isabella, Sofia, Amelia, James, Ethan, Emma, and Riley. \"if (Ethan is a knave or Isabella is a knave or Amelia is a knight) then Is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1884, \"statements\": [[\"->\", [\"or\", [\"lying\", 6], [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 1]...
{"split": "train", "index": 12996}
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, Abigail, Charlotte, Penelope, Ella, Liam, Evelyn, Emily, and Noah. In Henry's words: \"Penelope is an angel\". Abigail said, \"Charlotte is a de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1885, \"statements\": [[\"telling-truth\", 3], [\"lying\", 2], [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 0], [\"lying\", 6]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"or\", [\"t...
{"split": "train", "index": 12997}
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, Samuel, William, Daniel, Jackson, Amelia, Aurora, Alexander, and Liam. Victoria asserted: \"Alexander is a knave\". According to Samuel, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1886, \"statements\": [[\"lying\", 7], [\"<=>\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-tr...
{"split": "train", "index": 12998}
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, Ava, Scarlett, Isabella, Oliver, Abigail, Emma, Sophia, and Samuel. In Avery's words: \"if (Samuel is a knave and Sophia is a knight and Abiga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1887, \"statements\": [[\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 7], [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5], [\"lying\", 3]]], [\"and\", [\"<=>\",...
{"split": "train", "index": 12999}