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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Owen, Penelope, David, Lily, Jack, Grace, Joseph, Emily, and Samuel. Owen was heard saying, \"(Emily is a knave and Jack is a knave and Joseph is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1710, \"statements\": [[\"or\", [\"and\", [\"lying\", 7], [\"lying\", 4], [\"lying\", 6]], [\"or\", [\"lying\", 2], [\"lying\", 8], [\"telling-truth\", 8]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"not\",...
{"split": "train", "index": 10600}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Owen, Grace, Victoria, David, Joseph, Ella, Benjamin, Chloe, and Aria. \"David is an angel,\" Owen declared. Grace commented, \"Joseph is an angel\". \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1711, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 4], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 8]], [\"lying\", 1], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"telling-truth\", 4], ...
{"split": "train", "index": 10601}
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, Jacob, Matthew, Avery, Riley, Sophia, Aiden, Ava, and Henry. \"if (Aiden is a knight if and only if Riley is a knight) then Avery is a knight,\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1712, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"or\", [\"<=>\", [\"telling-truth\", 4...
{"split": "train", "index": 10602}
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, Avery, Sofia, Aria, Victoria, Sebastian, Owen, Emily, and Zoey. Aiden said that it is not the case that (Victoria is an egoist). Avery r...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1713, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"telling-truth\", 5], [\"no...
{"split": "train", "index": 10603}
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: Lucas, Scarlett, Alexander, Amelia, Joseph, Sebastian, Mia, Emily, and Mason. \"Alexander is a knave and (if Mia is a knave then Emily is a knight) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1714, \"statements\": [[\"and\", [\"lying\", 2], [\"->\", [\"lying\", 6], [\"telling-truth\", 7]], [\"or\", [\"lying\", 4], [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 5], [\"tellin...
{"split": "train", "index": 10604}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Mason, Ella, Scarlett, Isabella, Harper, Riley, Joseph, Charlotte, and Michael. In Mason's words: \"(if Charlotte is a fool then Michael is a sage) or (Mic...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1715, \"statements\": [[\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 8]], [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\",...
{"split": "train", "index": 10605}
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, Scarlett, Mia, William, Luke, Chloe, Lily, Ella, and Zoey. Evelyn was heard saying, \"Mia is a laggard or (Scarlett is a laggard if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1716, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4]],...
{"split": "train", "index": 10606}
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, Logan, Emma, Amelia, James, Daniel, Matthew, Elizabeth, and Henry. According to Aria, \"Amelia is a villain\". As Logan put it, \"(Amelia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1717, \"statements\": [[\"lying\", 3], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5], [\"telling-truth\", 6]], [\"or\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 5], [\"and\", [\"lying...
{"split": "train", "index": 10607}
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: Ethan, Scarlett, James, Michael, Harper, Sofia, Avery, Charlotte, and Penelope. Ethan noted, \"it is not the case that (Michael is a fool)\". Scarlett said...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1718, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"->\", [\"lying\", 4], [\"lying\", 8]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-tr...
{"split": "train", "index": 10608}
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, Lucas, James, Mia, Avery, Riley, Emma, Zoey, and Joseph. \"(if Avery is a fool then Lucas is a fool) and (Zoey is a fool or Zoey is a sage or Avery i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1719, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 7], [\"telling-truth\", 7], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 1], [\"lying\", 2], ...
{"split": "train", "index": 10609}
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, Benjamin, Scarlett, Jack, James, Avery, Ava, Evelyn, and Daniel. In a statement by Amelia: \"(Amelia is a hero and Ava is a villain and Evely...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1720, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 6], [\"lying\", 7]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [...
{"split": "train", "index": 10610}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Victoria, Mason, Alexander, Jacob, Mia, James, Chloe, Luke, and Sofia. \"Chloe is an angel if and only if (Chloe is a devil),\" Victoria claimed. Mason...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1721, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 8], [\"lying\", 3]]],...
{"split": "train", "index": 10611}
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: Alexander, Grace, Noah, Olivia, Emily, Mason, Aria, Amelia, and Abigail. \"(Aria is a laggard or Abigail is a pioneer or Amelia is a laggard) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1722, \"statements\": [[\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 8], [\"lying\", 7]], [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 3]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-tr...
{"split": "train", "index": 10612}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Liam, Isabella, Chloe, Alexander, Noah, Luke, Penelope, Samuel, and Lily. In a statement by Liam: \"if (Isabella is a knave or Luke is a knave) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1723, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 5]], [\"->\", [\"lying\", 7], [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"<=>\", [\"<=...
{"split": "train", "index": 10613}
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, Matthew, Ethan, Noah, Elizabeth, Samuel, Aurora, Owen, and Liam. Victoria expressed that (Elizabeth is a sinner if and only if Matthew is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1724, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 5], [\"lying\", 7]], [\"lying\", 6]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 8],...
{"split": "train", "index": 10614}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Daniel, Aiden, Emily, Isabella, Sebastian, Alexander, Ava, Sofia, and Jackson. Daniel told you that Sebastian is a devil. Aiden expressed that (if Dani...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1725, \"statements\": [[\"lying\", 4], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 6], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"not\", [\"<=>\", [\"tel...
{"split": "train", "index": 10615}
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: Sofia, Jack, Jackson, Joseph, Oliver, Chloe, Grace, Zoey, and Alexander. As Sofia put it, \"Chloe is a sinner and (Grace is a saint and Zoey is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1726, \"statements\": [[\"and\", [\"lying\", 5], [\"and\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 0...
{"split": "train", "index": 10616}
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, Elizabeth, Sebastian, Penelope, Sofia, Olivia, Riley, Charlotte, and Aria. Henry remarked, \"(Sofia is a laggard and Charlotte is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1727, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 6], [\"lying\", 1]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 2],...
{"split": "train", "index": 10617}
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: Abigail, Henry, Scarlett, Olivia, Emma, Ethan, Mason, Benjamin, and Sebastian. Abigail was heard saying, \"it is not the case that (Olivia is a devil)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1728, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 6], [\"lying\", 4]], [\"not\", [\"lying\", 7]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 6]], [\...
{"split": "train", "index": 10618}
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: Liam, Oliver, Mia, Luke, Sophia, Mason, William, Charlotte, and Avery. According to Liam, \"Sophia is a laggard\". Oliver stated, \"Oliver is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1729, \"statements\": [[\"lying\", 4], [\"or\", [\"telling-truth\", 1], [\"lying\", 7]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\",...
{"split": "train", "index": 10619}
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, Amelia, Chloe, Alexander, Benjamin, Ella, Lucas, Mason, and Evelyn. \"Alexander is a knight or (Lucas is a knave if and only if Jackson is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1730, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 6], [\"lying\", 8], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"telling-truth\", ...
{"split": "train", "index": 10620}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jackson, Alexander, Sebastian, Chloe, Matthew, Ava, Michael, Oliver, and Logan. \"(Matthew is a laggard or Oliver is a pioneer) or (Logan is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1731, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 8], [\"lying\", 7]], [\"telling-truth\", 1]], [\"<=>\", [\"or\", [\"lying\", 7], [\"lying\", 0], [\"telling-truth\", 3]], ...
{"split": "train", "index": 10621}
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: Lucas, Elizabeth, Jackson, Noah, Sophia, Emma, Logan, Aurora, and Avery. Lucas expressed that (Avery is a devil) if and only if (Lucas is a devil). Eli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1732, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 8], [\"t...
{"split": "train", "index": 10622}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jackson, Penelope, Aiden, Noah, Ethan, Oliver, Evelyn, James, and Logan. Jackson told you that Logan is a devil. Penelope remarked, \"(Aiden is a devil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1733, \"statements\": [[\"lying\", 8], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"->\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"lying\", 1], [\"and\", [\"<=>\", [\"lying\", 8], ...
{"split": "train", "index": 10623}
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: Emily, Alexander, Lily, Chloe, Aurora, Avery, Jack, Benjamin, and Sofia. As Emily put it, \"(if Jack is a pioneer then Chloe is a pioneer) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1734, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"or\", [\"lying\", 6], [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\...
{"split": "train", "index": 10624}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Avery, Mia, Jack, Benjamin, Liam, Ava, Sebastian, Zoey, and Owen. \"(Ava is a sinner and Liam is a sinner) and (if Mia is a sinner then Zoey is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1735, \"statements\": [[\"and\", [\"and\", [\"lying\", 5], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 7]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 3]], [\"not\", [\"<=>\", [...
{"split": "train", "index": 10625}
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, Samuel, Emma, Ava, Lucas, Avery, Harper, Sofia, and Penelope. Logan was heard saying, \"Lucas is a devil\". In a statement by Samuel: \"(Penelop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1736, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 6], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"l...
{"split": "train", "index": 10626}
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: Ava, Elizabeth, James, Emma, Amelia, David, Benjamin, Scarlett, and Liam. According to Ava, \"(James is an angel or James is a devil or David is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1737, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 5]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 7]]], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"...
{"split": "train", "index": 10627}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Matthew, Riley, Sofia, Samuel, David, Alexander, Elizabeth, Emily, and Mason. \"(Emily is a saint if and only if Riley is a saint) and (Mason is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1738, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 6...
{"split": "train", "index": 10628}
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, Elizabeth, Ava, Riley, Lily, Grace, David, William, and Oliver. Aiden expressed that Oliver is a laggard. In a statement by Elizabeth: \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1739, \"statements\": [[\"lying\", 8], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 1]]...
{"split": "train", "index": 10629}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Olivia, Aurora, Grace, Joseph, Jacob, Zoey, Luke, Benjamin, and Michael. Olivia asserted: \"(Luke is a hero) and Joseph is a hero\". \"Michael is a v...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1740, \"statements\": [[\"and\", [\"not\", [\"lying\", 6]], [\"telling-truth\", 3]], [\"or\", [\"lying\", 8], [\"telling-truth\", 4]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 3], [\"telling-tr...
{"split": "train", "index": 10630}
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: Sophia, Daniel, Noah, Scarlett, Samuel, Ava, Victoria, James, and Emily. \"(James is a sage or Ava is a fool or Emily is a fool) if and only if (Daniel is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1741, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 5], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"lying\", 5], [\"not\", [\"<=>\", [\"lying\", 5], [\"telling-trut...
{"split": "train", "index": 10631}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: William, Daniel, Henry, Aiden, Jackson, Logan, Joseph, Charlotte, and Isabella. William asserted: \"(Daniel is a hero if and only if Aiden is a hero)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1742, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 8], [\"lying\", 5], [\"lying\", 6]]], [\"<=>\", [\"or...
{"split": "train", "index": 10632}
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: Jacob, Elizabeth, Zoey, Charlotte, Luke, Liam, Alexander, Victoria, and Emma. According to Jacob, \"Liam is a hero\". Elizabeth told you that it is n...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1743, \"statements\": [[\"telling-truth\", 5], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"telling-truth\", 8], [\"telling-truth\", 1], [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 7]], [\"or\", [\"telling-truth\", 0],...
{"split": "train", "index": 10633}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Alexander, Samuel, Scarlett, Aiden, Charlotte, Lucas, Grace, Mia, and Ethan. Alexander remarked, \"Grace is a devil\". \"Grace is a devil,\" Samuel cla...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1744, \"statements\": [[\"lying\", 6], [\"lying\", 6], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"telling-truth\", 1]], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\", 8], [\"lying\", 0], [\"tell...
{"split": "train", "index": 10634}
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, Sofia, Jacob, Olivia, Mia, Chloe, Victoria, Ethan, and David. \"it is not the case that (Victoria is a devil and Jacob is an angel and Olivia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1745, \"statements\": [[\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 5], [\"<=>\", [\"telling-t...
{"split": "train", "index": 10635}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Evelyn, Jackson, Scarlett, Ella, Michael, Jack, Riley, Harper, and Avery. Evelyn remarked, \"Michael is an altruist\". \"it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1746, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3], [\"telling-truth\", 6]]], [...
{"split": "train", "index": 10636}
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, Ava, Matthew, Lily, Grace, Alexander, Mia, Elizabeth, and Aurora. Oliver said, \"(Mia is an egoist and Grace is an altruist) and (Eliza...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1747, \"statements\": [[\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 7], [\"lying\", 6], [\"lying\", 8]]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 0]], [\"...
{"split": "train", "index": 10637}
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: Michael, Samuel, Emma, Aiden, Daniel, Aria, Penelope, William, and Chloe. Michael stated, \"Daniel is a fool if and only if (William is a fool or Michael i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1748, \"statements\": [[\"<=>\", [\"lying\", 4], [\"or\", [\"lying\", 7], [\"telling-truth\", 0], [\"lying\", 6]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 2]...
{"split": "train", "index": 10638}
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, David, Grace, Lucas, Lily, Mia, Daniel, Penelope, and Ava. Jackson stated, \"if (Daniel is a hero) then Penelope is a villain\". \"(if Danie...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1749, \"statements\": [[\"->\", [\"not\", [\"lying\", 6]], [\"lying\", 7]], [\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"lying\", 8], [\"an...
{"split": "train", "index": 10639}
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: Chloe, James, Joseph, Alexander, Noah, Mason, Lily, Lucas, and Mia. In Chloe's words: \"(Mason is a villain and Alexander is a hero) if and only if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1750, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 7]]], [\"...
{"split": "train", "index": 10640}
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, Jacob, Zoey, Grace, Amelia, Avery, Sebastian, and Henry. Logan was heard saying, \"(Jacob is a knight and Sofia is a knave) and (Avery ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1751, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"...
{"split": "train", "index": 10641}
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, Ava, Aurora, Aria, Jack, Mason, Sebastian, William, and Noah. Chloe was heard saying, \"if (if Mason is an altruist then Mason is an ego...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1752, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 5]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 5]]], [\"n...
{"split": "train", "index": 10642}
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, Mason, Mia, Avery, Ella, Riley, Scarlett, Luke, and Abigail. Aria said, \"(Ella is a saint) or (Abigail is a sinner or Mia is a saint) or (Luke...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1753, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 8], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 7], [\"and\", [\"lying\", 8], [\"tel...
{"split": "train", "index": 10643}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Avery, Noah, Grace, Evelyn, Owen, Isabella, Amelia, Aria, and Jackson. Avery told you that it is not the case that (Evelyn is a sage). In Noah's words: \"i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1754, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 8],...
{"split": "train", "index": 10644}
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: Amelia, Samuel, William, Oliver, Elizabeth, Matthew, James, Aria, and Penelope. Amelia asserted: \"it is not the case that (if Aria is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1755, \"statements\": [[\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"lying\", 8], [\"telling-truth\", 7], [\"->\", [\"<=>\...
{"split": "train", "index": 10645}
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, James, Evelyn, Ethan, Zoey, Joseph, Jack, Olivia, and Aria. According to Riley, \"Riley is a knight or (James is a knave if and only if Ethan ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1756, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"...
{"split": "train", "index": 10646}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Elizabeth, Abigail, Luke, Sebastian, Emily, Riley, Oliver, Evelyn, and Zoey. Elizabeth remarked, \"(Elizabeth is a saint if and only if Emily is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1757, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 5], [\"lyi...
{"split": "train", "index": 10647}
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, William, Zoey, Grace, Isabella, Elizabeth, Luke, Samuel, and Emma. In a statement by Avery: \"(Emma is an egoist if and only if Emma is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1758, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"->\", [\"lying\", 7], [\"lying\", 6]]], [\"or\", [\"lying...
{"split": "train", "index": 10648}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Liam, Jackson, Aria, Sebastian, Riley, Benjamin, Isabella, Lily, and Aurora. \"(Benjamin is an egoist and Aria is an egoist) and (Aria is an al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1759, \"statements\": [[\"and\", [\"and\", [\"lying\", 5], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"lying\", 3], [\"->\", [\"<=...
{"split": "train", "index": 10649}
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: William, Isabella, Matthew, Olivia, Scarlett, Emily, Michael, Owen, and Jackson. William commented, \"Michael is a laggard\". According to Isab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1760, \"statements\": [[\"lying\", 6], [\"lying\", 2], [\"lying\", 8], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]], [\"->\", [\"lying\", 1], [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"lying\", 6]], [\"and\...
{"split": "train", "index": 10650}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Matthew, Olivia, Penelope, Liam, Henry, Emily, Chloe, Jack, and Owen. \"if (Emily is a sage and Matthew is a sage and Owen is a sage) then (Chloe is a fool...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1761, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"ly...
{"split": "train", "index": 10651}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sebastian, Evelyn, Grace, Noah, Sophia, Sofia, Aiden, Penelope, and Harper. \"Penelope is a laggard and (Grace is a laggard if and only if Evel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1762, \"statements\": [[\"and\", [\"lying\", 7], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 6]]], [\"and...
{"split": "train", "index": 10652}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Oliver, Zoey, Jacob, Mia, Sofia, Aurora, Grace, Luke, and Henry. According to Oliver, \"(Sofia is a laggard if and only if Aurora is a laggard)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1763, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 5]], [\"or\", [\"lying\", 2], [\"lying\", 8], [\"telling-truth\", 5]], [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"not\", [\"lying\", 4]], [\"->...
{"split": "train", "index": 10653}
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, Jack, Aurora, Mia, David, Oliver, Mason, Elizabeth, and Logan. Sofia stated, \"(David is a fool or Elizabeth is a fool) and (Jack is a fool or Mia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1764, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"lying\", 7]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"<=>\", [\"tel...
{"split": "train", "index": 10654}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ava, Joseph, Mason, William, Aria, Ethan, Ella, Sebastian, and Penelope. According to Ava, \"Sebastian is a pioneer\". As Joseph put it, \"Ava ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1765, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"lying\", 8], [\"telling-truth\"...
{"split": "train", "index": 10655}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Penelope, Joseph, Zoey, Liam, Sofia, Alexander, Elizabeth, Lily, and Lucas. Penelope noted, \"(if Elizabeth is a knight then Joseph is a knight) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1766, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 2], [\"not\", [\"->\", [\"lying\", 7], [\"lying\", 6]]], [\"not\", [\"and\", [\"telling...
{"split": "train", "index": 10656}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Logan, Amelia, Samuel, Jack, Emily, Ella, Olivia, Riley, and Henry. \"it is not the case that (Ella is a hero and Amelia is a villain and Olivia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1767, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 1], [\"lying\", 6]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 7], [\"lying\", 7]], [\"not\", [\"telling-truth\", 2...
{"split": "train", "index": 10657}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ella, Henry, Victoria, Emily, Amelia, Mason, Avery, James, and Scarlett. Ella told you that if (Mason is a pioneer and Ella is a pioneer) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1768, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"lying\", 5]], [\"and\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\",...
{"split": "train", "index": 10658}
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: Sofia, Sophia, James, Abigail, Charlotte, Ava, Ella, Benjamin, and Aiden. In a statement by Sofia: \"Charlotte is a devil\". According to Sophia, \"Aid...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1769, \"statements\": [[\"lying\", 4], [\"lying\", 8], [\"and\", [\"and\", [\"lying\", 5], [\"lying\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 2], [\"->\", [\"lying\", 0], [\"telling-truth\", 6]]], [\"not\", [\"or\", ...
{"split": "train", "index": 10659}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Henry, Victoria, Penelope, Mason, James, Zoey, Scarlett, Chloe, and William. Henry commented, \"(William is a sinner and Chloe is a sinner) and (if V...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1770, \"statements\": [[\"and\", [\"and\", [\"lying\", 8], [\"lying\", 7]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"te...
{"split": "train", "index": 10660}
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, Grace, Ethan, Zoey, Riley, Lucas, Ella, Emily, and Mia. In Penelope's words: \"(if Mia is a villain then Ella is a hero) and (Emily is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1771, \"statements\": [[\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 7], [\"lying\", 6]], [\"or\", [\"lying\", 5], [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"...
{"split": "train", "index": 10661}
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, Owen, Evelyn, Lily, Benjamin, Logan, Ava, Daniel, and Luke. Alexander noted, \"if Ava is an egoist then Logan is an altruist\". Owen...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1772, \"statements\": [[\"->\", [\"lying\", 6], [\"telling-truth\", 5]], [\"lying\", 8], [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"lying\", 5], [\"telling-truth\", 8]]], [\"and\", [\"not\"...
{"split": "train", "index": 10662}
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, Olivia, Riley, Noah, Sophia, Jackson, Jack, Grace, and Logan. Oliver remarked, \"it is not the case that (Logan is a sinner if and only if Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1773, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 6]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"->\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", ...
{"split": "train", "index": 10663}
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: Emily, Noah, Logan, Aiden, Alexander, Sofia, Sophia, Lily, and Charlotte. \"(Lily is an altruist if and only if Noah is an altruist) and (Aiden...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1774, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 5], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"...
{"split": "train", "index": 10664}
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: Ava, Riley, Aurora, Noah, Harper, Joseph, Oliver, Samuel, and Penelope. \"Riley is a hero\" - Ava. Riley stated, \"(if Oliver is a villain then Riley...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1775, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"not\", [\"->\",...
{"split": "train", "index": 10665}
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: Harper, Sofia, William, Owen, Zoey, Amelia, Mason, Liam, and Abigail. In a statement by Harper: \"Amelia is a fool if and only if (Mason is a sage and Maso...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1776, \"statements\": [[\"<=>\", [\"lying\", 5], [\"and\", [\"telling-truth\", 6], [\"lying\", 6], [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 8], [\"lying\", 6]], [\"->\", [\"telling-truth\", 4], [\"lyin...
{"split": "train", "index": 10666}
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: Lucas, Amelia, Sofia, Matthew, Avery, Grace, Aurora, Ella, and Sebastian. According to Lucas, \"(Ella is an altruist and Aurora is an altruist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1777, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 7]]], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 5], [\"tel...
{"split": "train", "index": 10667}
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: Ethan, David, Isabella, Zoey, Olivia, Liam, Elizabeth, Oliver, and Samuel. Ethan said, \"(if Zoey is an angel then Elizabeth is an angel) or (if David ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1778, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"telling-truth\", 5], [\"lying\", 0], [\"not\", [\"and\", [\"telling-truth\...
{"split": "train", "index": 10668}
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: Victoria, Emily, Ella, Sebastian, Aurora, Aria, Abigail, Sofia, and Penelope. \"Aria is a fool or (Ella is a fool and Penelope is a sage and Aria is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1779, \"statements\": [[\"or\", [\"lying\", 5], [\"and\", [\"lying\", 2], [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 5], [\"lying\...
{"split": "train", "index": 10669}
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, Jackson, Riley, Scarlett, Ethan, Harper, David, Michael, and Owen. \"(if Ethan is a fool then Harper is a sage) or (Ella is a sage and David is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1780, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"telling-truth\", 7], [\"not\", [\"and\", [\"telling-truth...
{"split": "train", "index": 10670}
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, Evelyn, Mason, William, Daniel, Sebastian, Jack, Noah, and Jackson. \"(if Sebastian is a villain then Sebastian is a hero) or (Mason is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1781, \"statements\": [[\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"telling-truth\", 8]], [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"tell...
{"split": "train", "index": 10671}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ella, Owen, Amelia, Sophia, Joseph, Charlotte, Sofia, Isabella, and Avery. Ella asserted: \"(Avery is a laggard or Sophia is a pioneer or Ameli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1782, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 8]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 7], [\"telling-truth\...
{"split": "train", "index": 10672}
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: Liam, Penelope, Chloe, Elizabeth, Evelyn, Isabella, Mia, Charlotte, and Harper. As Liam put it, \"(Chloe is a laggard if and only if Charlotte ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1783, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 7]], [\"or\", [\"lying\", 7], [\"lying\", 1]]], [\"lying\", 3], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 5]]], [\...
{"split": "train", "index": 10673}
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, Jack, Michael, Logan, Henry, Jackson, Elizabeth, William, and Mia. Noah told you that it is not the case that (if Logan is a knight then Mia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1784, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 7], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"telling-...
{"split": "train", "index": 10674}
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: Oliver, Noah, Liam, Lucas, Zoey, Olivia, Ethan, Ella, and Emily. \"(Liam is a villain) or (Ethan is a hero or Emily is a villain),\" Oliver declared....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1785, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"...
{"split": "train", "index": 10675}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aiden, Abigail, Mason, Charlotte, Elizabeth, Oliver, Ella, Daniel, and Isabella. Aiden stated, \"(Abigail is an angel and Oliver is an angel) or (Olive...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1786, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"ly...
{"split": "train", "index": 10676}
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, James, Zoey, Aria, Amelia, William, Ethan, Benjamin, and Sebastian. Sofia commented, \"it is not the case that (if William is a laggard ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1787, \"statements\": [[\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 0], [\"not\", [\"telling-truth\", 5]]], [\"lying\", 6], [\"telling-truth\", 5], [\"not\", [\"->\", [\"telling-truth\", 0...
{"split": "train", "index": 10677}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Michael, Sofia, Victoria, Charlotte, Aurora, James, Lucas, Avery, and Sophia. Michael said that Avery is a laggard. Sofia commented, \"(if Char...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1788, \"statements\": [[\"lying\", 7], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 5], [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"lying\", 5], [\"not\", [\"lying\", 3]]], [\"not...
{"split": "train", "index": 10678}
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, Ethan, Benjamin, Avery, Penelope, Henry, Mia, Aurora, and Noah. As Luke put it, \"(Mia is an egoist or Noah is an egoist) or (if Mia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1789, \"statements\": [[\"or\", [\"or\", [\"lying\", 6], [\"lying\", 8]], [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"or\", [\"lying\", 1], [\...
{"split": "train", "index": 10679}
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, Elizabeth, Sophia, Lucas, Charlotte, Victoria, Liam, Riley, and Noah. As Daniel put it, \"it is not the case that (Charlotte is a fool and Noah is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1790, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 7]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"tel...
{"split": "train", "index": 10680}
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: Grace, Charlotte, Zoey, Riley, Ava, Luke, James, Samuel, and Chloe. Grace expressed that (Samuel is a sage and Chloe is a sage and Ava is a sage) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1791, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"lying\", 8], [\"and\", [\"telling-truth\", 5], [\"lying\", 2],...
{"split": "train", "index": 10681}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sebastian, Aria, Owen, Grace, Olivia, Emma, Logan, Victoria, and Penelope. According to Sebastian, \"if (Penelope is a saint) then Penelope is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1792, \"statements\": [[\"->\", [\"not\", [\"lying\", 8]], [\"lying\", 8]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 7]]], [\"lying\", 8], [\"o...
{"split": "train", "index": 10682}
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, Aurora, Samuel, Ethan, Avery, Olivia, Benjamin, Riley, and Matthew. Owen commented, \"if (Benjamin is a saint and Avery is a sinner) then Olivi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1793, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 4]], [\"telling-truth\", 5]], [\"and\", [\"->\", [\"lying\", 7], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]],...
{"split": "train", "index": 10683}
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, Ella, Michael, Matthew, Daniel, Jackson, Sophia, Emma, and Owen. Olivia said that Michael is an altruist if and only if (Michael is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1794, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 4], [\"and\", [\"telling-truth\", 2],...
{"split": "train", "index": 10684}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Henry, Victoria, Matthew, Zoey, Jacob, Mason, Isabella, Riley, and Abigail. \"Riley is a sinner,\" Henry mentioned. According to Victoria, \"if Jacob...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1795, \"statements\": [[\"lying\", 7], [\"->\", [\"lying\", 4], [\"and\", [\"lying\", 3], [\"telling-truth\", 6], [\"lying\", 7]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-tr...
{"split": "train", "index": 10685}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aiden, Zoey, Logan, Evelyn, Grace, Isabella, Jack, Matthew, and David. \"if (David is a saint if and only if Jack is a sinner) then (if Grace is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1796, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"lying\", 5], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 6]], [\"<=>\",...
{"split": "train", "index": 10686}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Victoria, Penelope, Aria, Jacob, Owen, Michael, Liam, Daniel, and Samuel. As Victoria put it, \"(Owen is a devil) or (Penelope is a devil) or (Aria is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1797, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"lying\", 3], [\"lying\", 8]]], [...
{"split": "train", "index": 10687}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sofia, Michael, Lily, Jackson, Aria, Avery, Harper, Amelia, and Emily. Sofia was heard saying, \"(Aria is a villain and Emily is a hero and Lily is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1798, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 5], [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"lying\", 7...
{"split": "train", "index": 10688}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Penelope, Aria, Mason, Jack, Riley, Alexander, Lucas, Victoria, and Samuel. As Penelope put it, \"Mason is an angel\". Aria said that if (Riley is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1799, \"statements\": [[\"not\", [\"lying\", 2]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\...
{"split": "train", "index": 10689}
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: Harper, Avery, William, Victoria, Alexander, Sofia, Oliver, Liam, and Mason. \"Mason is a laggard\" - Harper. \"if (Liam is a pioneer) then (Ol...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1800, \"statements\": [[\"lying\", 8], [\"->\", [\"not\", [\"lying\", 7]], [\"and\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"and\", [\"not\", [\"lying\", 6]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"t...
{"split": "train", "index": 10690}
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, Michael, Ethan, Aurora, Emma, Mason, Isabella, Liam, and Benjamin. Amelia told you that (Liam is an egoist and Benjamin is an egoist) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1801, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 7], [\"lying\", 8]], [\"->\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"lying\", 7], [\"not\", [\"->\", [\"telling-truth\"...
{"split": "train", "index": 10691}
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, Amelia, Ethan, Benjamin, Harper, Ava, Aurora, William, and Logan. In a statement by David: \"(Benjamin is a hero and Amelia is a hero) or (Dav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1802, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\...
{"split": "train", "index": 10692}
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: Samuel, Amelia, Lucas, Sofia, Riley, Michael, Benjamin, Jack, and James. Samuel asserted: \"if (Sofia is a sage) then (if Samuel is a sage then Jack is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1803, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"or\", [\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]], [\"lying\", 5]...
{"split": "train", "index": 10693}
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, Chloe, Alexander, Liam, Sofia, Jacob, Matthew, Sophia, and Michael. Olivia expressed that if Matthew is a fool then (Liam is a sage). Chloe said th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1804, \"statements\": [[\"->\", [\"lying\", 6], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"lying\", 5]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 1], [...
{"split": "train", "index": 10694}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Grace, Benjamin, Scarlett, Joseph, Chloe, Aria, David, Matthew, and Sophia. As Grace put it, \"Matthew is an angel\". In Benjamin's words: \"it is not ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1805, \"statements\": [[\"telling-truth\", 7], [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5], [\"lying\", 8]]], [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 6]]],...
{"split": "train", "index": 10695}
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, Henry, Ava, Samuel, Ella, Amelia, Benjamin, Mia, and Sophia. In a statement by Riley: \"(if Amelia is a sage then Ella is a fool) or (if Mia is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1806, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]], [\"->\", [\"telling-truth\", 7], [\"lying\", 6]], [\"->\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"->\", [\"lying\", 2], [\"not\", [\"lying...
{"split": "train", "index": 10696}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aurora, Aiden, Lily, Michael, Emma, Jackson, Mason, Ella, and Lucas. Aurora noted, \"if (Aurora is a knight and Lucas is a knave and Michael is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1807, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 8], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 2]], [\"->\", [\"lying\", 8], [\"telling-truth\", 4]...
{"split": "train", "index": 10697}
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, Samuel, Grace, Joseph, Logan, Matthew, Charlotte, Sophia, and Ethan. \"(Sophia is a sinner and Grace is a saint) if and only if Charlotte is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1808, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 2]], [\"lying\", 6]], [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 8]]], [\"telling-tru...
{"split": "train", "index": 10698}
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, Ella, Sebastian, Riley, Ava, Aurora, Aria, Matthew, and Jacob. According to Henry, \"if (if Aria is an altruist then Henry is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1809, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\...
{"split": "train", "index": 10699}