data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
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 5 inhabitants: Aiden, Sophia, Alexander, Avery, and Aurora. Aiden said, \"(Alexander is a pioneer or Avery is a laggard) or (Sophia is a pioneer).\" Sophia re... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1732, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-tr... | {"split": "train", "index": 8400} |
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 5 inhabitants: Matthew, Harper, Abigail, Joseph, and Sebastian. Matthew asserted: \"if (if Harper is a laggard then Sebastian is a laggard) then (if Joseph is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1733, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\",... | {"split": "train", "index": 8401} |
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 5 inhabitants: Ella, Jackson, Sofia, Jacob, and Avery. According to Ella, \"Avery is an egoist\". \"(Ella is an egoist if and only if Jacob is an egoist) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1734, \"statements\": [[\"lying\", 4], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"->\", [\"<=... | {"split": "train", "index": 8402} |
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 5 inhabitants: Scarlett, Liam, Sebastian, William, and Oliver. Scarlett remarked, \"(if Oliver is an angel then Sebastian is an angel) if and only if (if Sebastian is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1735, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"lying\", 2]],... | {"split": "train", "index": 8403} |
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 5 inhabitants: Ethan, Jack, Sebastian, Grace, and Amelia. Ethan told you that (Grace is a pioneer) if and only if (Jack is a laggard if and only if Jack is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1736, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\... | {"split": "train", "index": 8404} |
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 5 inhabitants: Jackson, Avery, Victoria, Matthew, and Zoey. Jackson told you that Victoria is a fool. In Avery's words: \"(Zoey is a sage and Matthew is a sage) or (Jacks... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1737, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 3]], [\"<=... | {"split": "train", "index": 8405} |
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 5 inhabitants: Aria, Lucas, Emily, Amelia, and Liam. Aria asserted: \"(Amelia is a knight) and (Aria is a knave)\". In a statement by Lucas: \"(if Emily is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1738, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"a... | {"split": "train", "index": 8406} |
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 5 inhabitants: Daniel, Sophia, Penelope, Scarlett, and David. According to Daniel, \"(if Scarlett is a pioneer then Sophia is a pioneer) if and only if (David... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1739, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 4... | {"split": "train", "index": 8407} |
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 5 inhabitants: Isabella, Ella, Sofia, Ethan, and Jack. Isabella was heard saying, \"(if Sofia is a devil then Jack is a devil) if and only if (if Ethan is an angel th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1740, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]], [\"and\", [\"telling-truth\", 4... | {"split": "train", "index": 8408} |
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 5 inhabitants: James, Aurora, Lucas, Michael, and David. James said that if (James is a fool) then David is a sage. \"(James is a sage and Lucas is a fool) and (if Lucas ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1741, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"... | {"split": "train", "index": 8409} |
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 5 inhabitants: Lucas, Owen, Aurora, Penelope, and Elizabeth. Lucas commented, \"(if Penelope is a sage then Elizabeth is a sage) if and only if (Aurora is a sage and Owen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1742, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 4],... | {"split": "train", "index": 8410} |
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 5 inhabitants: Aiden, Ella, Charlotte, Scarlett, and Noah. Aiden told you that (Noah is an egoist and Ella is an altruist) and (Ella is an egoist if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1743, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-t... | {"split": "train", "index": 8411} |
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 5 inhabitants: Lily, Riley, David, Michael, and Daniel. \"Riley is a saint or (Michael is a sinner or Riley is a sinner),\" Lily claimed. As Riley put it, \"it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1744, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]],... | {"split": "train", "index": 8412} |
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 5 inhabitants: Joseph, David, Emma, Aria, and Jack. \"if (David is a fool) then (Aria is a sage if and only if Jack is a sage),\" Joseph mentioned. David expressed that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1745, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 8413} |
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 5 inhabitants: Victoria, Samuel, Logan, Harper, and David. \"(Logan is a laggard or Logan is a pioneer) if and only if (if Harper is a pioneer then Samuel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1746, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"lying\", 0], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\... | {"split": "train", "index": 8414} |
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 5 inhabitants: Jackson, Joseph, Noah, Scarlett, and Ethan. \"if (Joseph is a sage and Ethan is a sage) then (Noah is a fool and Noah is a sage),\" Jackson claimed. Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1747, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 0]], [\"lying\", 2]], [\"not\", [\"<=>\", [\"telling... | {"split": "train", "index": 8415} |
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 5 inhabitants: Sofia, Lily, Henry, Benjamin, and Liam. \"it is not the case that (Sofia is an altruist if and only if Lily is an altruist),\" Sofia mentioned.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1748, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 0]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-... | {"split": "train", "index": 8416} |
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 5 inhabitants: Jack, Aiden, Noah, Oliver, and Daniel. \"Daniel is a laggard and (if Oliver is a laggard then Daniel is a pioneer),\" Jack claimed. In a statem... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1749, \"statements\": [[\"and\", [\"lying\", 4], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"o... | {"split": "train", "index": 8417} |
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 5 inhabitants: Elizabeth, Aurora, Henry, Michael, and Harper. Elizabeth stated, \"if (Michael is a villain or Henry is a villain) then Henry is a villain\". \"(if E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1750, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"lying\", 2]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 8418} |
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 5 inhabitants: Henry, Matthew, Ella, Isabella, and Avery. \"if Matthew is a pioneer then (Matthew is a laggard)\" - Henry. \"(if Matthew is a pioneer then Isa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1751, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"->... | {"split": "train", "index": 8419} |
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 5 inhabitants: Olivia, Sebastian, Jackson, William, and Elizabeth. Olivia was heard saying, \"Sebastian is an angel\". \"Jackson is an angel,\" Sebastian declared. \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1752, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 2], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"lying\", 2], [\"or\", [\"lying\", 1], [\... | {"split": "train", "index": 8420} |
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 5 inhabitants: Oliver, Amelia, Charlotte, Luke, and Sebastian. Oliver remarked, \"if (Charlotte is a knight and Luke is a knight) then (if Luke is a knight then Luk... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1753, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-tru... | {"split": "train", "index": 8421} |
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 5 inhabitants: Luke, Owen, Emma, Noah, and Sofia. Luke asserted: \"Owen is a laggard and (Emma is a pioneer if and only if Noah is a pioneer)\". Owen stated, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1754, \"statements\": [[\"and\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"... | {"split": "train", "index": 8422} |
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 5 inhabitants: Aria, Amelia, Ethan, Aiden, and Aurora. Aria said that Aurora is a sinner or (if Aurora is a sinner then Aria is a saint). \"it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1755, \"statements\": [[\"or\", [\"lying\", 4], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"not... | {"split": "train", "index": 8423} |
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 5 inhabitants: William, Ava, Mia, Olivia, and Penelope. William told you that Olivia is a sinner. \"(Penelope is a sinner if and only if Olivia is a saint) or (Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1756, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-... | {"split": "train", "index": 8424} |
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 5 inhabitants: Samuel, Liam, Lucas, Emily, and Riley. Samuel told you that Liam is a saint. Liam commented, \"(Emily is a sinner or Lucas is a sinner) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1757, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"lying\", 4]], [\"telling-truth\", 0], [\"and\", [\"and\", [\"lying\", 3... | {"split": "train", "index": 8425} |
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 5 inhabitants: Emma, Elizabeth, Sebastian, Avery, and Mia. In Emma's words: \"(if Sebastian is a knave then Mia is a knave) and (Avery is a knight and Sebastian is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1758, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\... | {"split": "train", "index": 8426} |
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 5 inhabitants: Evelyn, Sebastian, Mason, Isabella, and Aria. Evelyn asserted: \"it is not the case that (Mason is a laggard and Aria is a laggard)\". \"Aria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1759, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"lying\", 4], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"l... | {"split": "train", "index": 8427} |
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 5 inhabitants: Abigail, Joseph, Isabella, Aiden, and Olivia. \"it is not the case that (if Olivia is a knave then Isabella is a knight),\" Abigail mentioned. Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1760, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"lying\", 4], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 1], [\"or... | {"split": "train", "index": 8428} |
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 5 inhabitants: Samuel, Elizabeth, James, Owen, and Sophia. \"(if Samuel is a sage then Owen is a sage) if and only if Elizabeth is a sage\" - Samuel. Elizabeth commented,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1761, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"not\", [\"not\", [\"lying\", 3]]], [\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-tru... | {"split": "train", "index": 8429} |
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 5 inhabitants: Emma, Logan, Harper, Oliver, and Henry. Emma remarked, \"if (Henry is an altruist or Oliver is an altruist) then (Henry is an altruist if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1762, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-trut... | {"split": "train", "index": 8430} |
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 5 inhabitants: Avery, Alexander, Liam, Zoey, and Samuel. According to Avery, \"(Zoey is a knight) or Zoey is a knave\". In Alexander's words: \"Samuel is a knight\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1763, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 3]], [\"telling-truth\", 4], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"not... | {"split": "train", "index": 8431} |
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 5 inhabitants: Zoey, Aiden, Penelope, Benjamin, and Michael. Zoey expressed that Penelope is a pioneer. Aiden commented, \"(Michael is a pioneer if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1764, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"lying\", 4]], [\"->\", [\"->\", [\"telling-truth\", 2]... | {"split": "train", "index": 8432} |
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 5 inhabitants: Emily, Joseph, Aurora, Lily, and Oliver. \"if (Joseph is a fool or Lily is a fool) then (Joseph is a sage),\" Emily mentioned. According to Joseph, \"if (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1765, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 0]], ... | {"split": "train", "index": 8433} |
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 5 inhabitants: Mason, Penelope, Charlotte, Amelia, and Henry. Mason asserted: \"(Amelia is a knave or Penelope is a knave) if and only if Mason is a knight\". \"if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1766, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"telling-truth\", 0]], [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 4... | {"split": "train", "index": 8434} |
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 5 inhabitants: Noah, Abigail, Elizabeth, Zoey, and Aurora. Noah told you that Aurora is a villain. According to Abigail, \"Elizabeth is a hero if and only if (Eliza... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1767, \"statements\": [[\"lying\", 4], [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"lying\", 1]], [\"<=>\", [\"<=>\", [\"telling-tr... | {"split": "train", "index": 8435} |
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 5 inhabitants: Scarlett, James, Samuel, Mason, and Jackson. \"it is not the case that (Jackson is a hero and Mason is a villain),\" Scarlett claimed. \"if (Mason is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1768, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 1], [\"lying\"... | {"split": "train", "index": 8436} |
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 5 inhabitants: Emily, Jackson, Harper, Luke, and Alexander. As Emily put it, \"Harper is a knave\". Jackson remarked, \"if Alexander is a knave then Harper is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1769, \"statements\": [[\"lying\", 2], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"a... | {"split": "train", "index": 8437} |
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 5 inhabitants: Owen, Daniel, Noah, Emily, and Chloe. \"(Emily is an egoist and Noah is an egoist) if and only if (Chloe is an altruist),\" Owen claimed. In a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1770, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\... | {"split": "train", "index": 8438} |
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 5 inhabitants: Aurora, Logan, Jackson, Alexander, and Oliver. \"Logan is a laggard,\" Aurora mentioned. Logan asserted: \"it is not the case that (Jackson is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1771, \"statements\": [[\"lying\", 1], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"lying\", 2], [\"telling-truth\", 2]], \"solution\"... | {"split": "train", "index": 8439} |
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 5 inhabitants: Penelope, Daniel, Liam, Amelia, and Scarlett. \"Liam is a villain or (Penelope is a hero and Liam is a villain),\" Penelope claimed. In Daniel's word... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1772, \"statements\": [[\"or\", [\"lying\", 2], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"no... | {"split": "train", "index": 8440} |
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 5 inhabitants: Penelope, Michael, Joseph, Scarlett, and Jack. Penelope asserted: \"it is not the case that (Jack is a saint)\". Michael said, \"it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1773, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth... | {"split": "train", "index": 8441} |
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 5 inhabitants: Owen, Michael, Amelia, Ethan, and Zoey. Owen noted, \"Michael is an angel\". \"(Ethan is an angel and Owen is a devil) or (Zoey is an angel)\" - Michae... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1774, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"telling-truth\", 2]], [\"and\", [\"... | {"split": "train", "index": 8442} |
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 5 inhabitants: Logan, Alexander, Jacob, Henry, and Samuel. Logan told you that Samuel is a devil. Alexander told you that (Henry is a devil) or (Samuel is an angel an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1775, \"statements\": [[\"lying\", 4], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-tr... | {"split": "train", "index": 8443} |
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 5 inhabitants: Lily, Avery, Logan, Sofia, and Samuel. In Lily's words: \"(Avery is a pioneer) or (Logan is a pioneer or Samuel is a pioneer)\". Avery asserted... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1776, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"te... | {"split": "train", "index": 8444} |
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 5 inhabitants: Ella, Aiden, Emma, Samuel, and Penelope. Ella said that it is not the case that (if Penelope is a sage then Samuel is a fool). In a statement by Aiden: \"S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1777, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 3], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"not\", [\... | {"split": "train", "index": 8445} |
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 5 inhabitants: Avery, Alexander, Aria, Jacob, and Henry. Avery commented, \"it is not the case that (Alexander is a laggard if and only if Jacob is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1778, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 8446} |
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 5 inhabitants: Sophia, Emma, Ava, Grace, and Jacob. \"if (Emma is a fool and Ava is a fool) then (if Jacob is a fool then Grace is a fool),\" Sophia mentioned. In a state... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1779, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"an... | {"split": "train", "index": 8447} |
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 5 inhabitants: Jack, Jacob, Aurora, James, and Jackson. \"(Jack is a sage and Jacob is a sage) or (if Jackson is a fool then Jack is a sage)\" - Jack. Jacob noted, \"if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1780, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\... | {"split": "train", "index": 8448} |
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 5 inhabitants: Matthew, Luke, Sebastian, Scarlett, and Aria. As Matthew put it, \"(Sebastian is a fool if and only if Luke is a sage) and Sebastian is a sage\". Luke expr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1781, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]],... | {"split": "train", "index": 8449} |
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 5 inhabitants: Riley, Jacob, David, Avery, and Daniel. Riley told you that (Avery is a sage or Jacob is a sage) or Riley is a sage. Jacob expressed that (Riley is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1782, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 0]]], ... | {"split": "train", "index": 8450} |
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 5 inhabitants: Samuel, Owen, Jacob, Charlotte, and Oliver. According to Samuel, \"if Owen is a knave then Jacob is a knight\". Owen asserted: \"if (if Samuel is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1783, \"statements\": [[\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"lying\", 2]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\... | {"split": "train", "index": 8451} |
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 5 inhabitants: Isabella, Aurora, Elizabeth, Victoria, and Luke. \"Elizabeth is a knight,\" Isabella mentioned. Aurora remarked, \"(Elizabeth is a knave if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1784, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", 0], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"lying\", ... | {"split": "train", "index": 8452} |
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 5 inhabitants: Emily, Owen, Jacob, Chloe, and Zoey. Emily said, \"(Jacob is a sage or Owen is a sage) and (Owen is a fool).\" Owen said that (if Chloe is a fool then Chlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1785, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"<=>\", [\"-... | {"split": "train", "index": 8453} |
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 5 inhabitants: Lily, Oliver, Charlotte, Sebastian, and Ella. As Lily put it, \"(Lily is a fool) if and only if (Sebastian is a sage or Lily is a sage)\". As Oliver put it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1786, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 4], [\... | {"split": "train", "index": 8454} |
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 5 inhabitants: Emma, Aurora, Jacob, Alexander, and Penelope. \"(Alexander is a villain or Emma is a hero) if and only if (Aurora is a villain and Jacob is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1787, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"telling-truth\", 3], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"and\", [\"-... | {"split": "train", "index": 8455} |
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 5 inhabitants: Grace, Ella, Sophia, Jacob, and Aria. According to Grace, \"(Grace is a sinner) if and only if Grace is a saint\". \"Jacob is a sinner,\" Ella declar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1788, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"lying\", 0], [\"->\", [\"->\", [\... | {"split": "train", "index": 8456} |
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 5 inhabitants: Riley, Michael, Daniel, Sophia, and William. Riley said, \"(Sophia is an altruist if and only if Riley is an altruist) if and only if (if Willi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1789, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 0]]... | {"split": "train", "index": 8457} |
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 5 inhabitants: Alexander, Elizabeth, Benjamin, Olivia, and Emma. According to Alexander, \"Olivia is a pioneer if and only if (Olivia is a pioneer if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1790, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"tell... | {"split": "train", "index": 8458} |
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 5 inhabitants: Grace, Jack, Olivia, Lucas, and Emily. Grace expressed that if (Emily is an egoist if and only if Olivia is an egoist) then (Emily is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1791, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", 0], [\"a... | {"split": "train", "index": 8459} |
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 5 inhabitants: Daniel, Ava, Abigail, Owen, and Liam. In Daniel's words: \"if (if Owen is a knave then Liam is a knight) then Ava is a knight\". In a statement by Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1792, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-trut... | {"split": "train", "index": 8460} |
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 5 inhabitants: Matthew, James, Victoria, Mia, and Sofia. \"Sofia is a hero or (Victoria is a villain)\" - Matthew. James was heard saying, \"Victoria is a hero\". \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1793, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"tell... | {"split": "train", "index": 8461} |
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 5 inhabitants: Liam, Emily, David, Grace, and Scarlett. Liam was heard saying, \"if (if Liam is a knight then Emily is a knight) then (if Grace is a knight then Dav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1794, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]... | {"split": "train", "index": 8462} |
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 5 inhabitants: Sophia, David, Zoey, Logan, and Sebastian. Sophia said that if (Logan is a sinner or David is a saint) then Logan is a saint. \"(if David is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1795, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]], ... | {"split": "train", "index": 8463} |
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 5 inhabitants: Elizabeth, Riley, Daniel, Logan, and William. According to Elizabeth, \"(Logan is a pioneer or William is a pioneer) or (Daniel is a pioneer if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1796, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-tr... | {"split": "train", "index": 8464} |
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 5 inhabitants: Emma, Lily, Owen, Sofia, and Sophia. Emma noted, \"if (Emma is a saint or Sophia is a saint) then (if Owen is a sinner then Sofia is a saint)\". Lily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1797, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]... | {"split": "train", "index": 8465} |
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 5 inhabitants: Elizabeth, Jacob, Ella, Benjamin, and Oliver. Elizabeth was heard saying, \"if (if Oliver is an angel then Jacob is an angel) then (Jacob is a devil an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1798, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-tr... | {"split": "train", "index": 8466} |
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 5 inhabitants: Elizabeth, Joseph, Charlotte, Sophia, and Victoria. \"Joseph is a hero,\" Elizabeth claimed. Joseph remarked, \"Victoria is a hero\". Charlotte said,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1799, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 4], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"tel... | {"split": "train", "index": 8467} |
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 5 inhabitants: Sofia, Olivia, Charlotte, Ava, and Harper. As Sofia put it, \"(Ava is a villain) or (Harper is a villain if and only if Olivia is a villain)\". \"Har... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1800, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"... | {"split": "train", "index": 8468} |
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 5 inhabitants: Aiden, Lily, Sophia, Logan, and Michael. Aiden was heard saying, \"(if Sophia is a hero then Lily is a villain) or (Michael is a villain)\". Lily not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1801, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"lying\", 0]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"telling-truth\", ... | {"split": "train", "index": 8469} |
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 5 inhabitants: Ethan, Victoria, Charlotte, Avery, and Aria. \"Victoria is a devil\" - Ethan. Victoria stated, \"(Ethan is a devil or Charlotte is a devil) or (Ethan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1802, \"statements\": [[\"lying\", 1], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"... | {"split": "train", "index": 8470} |
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 5 inhabitants: Emily, Harper, Joseph, James, and Aurora. As Emily put it, \"it is not the case that (if Aurora is an egoist then James is an altruist)\". Harp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1803, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"->... | {"split": "train", "index": 8471} |
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 5 inhabitants: William, Victoria, Matthew, Aiden, and Lily. As William put it, \"(Aiden is a villain) or (Matthew is a hero or Victoria is a villain)\". Victoria to... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1804, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\",... | {"split": "train", "index": 8472} |
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 5 inhabitants: Mason, James, Luke, Jacob, and Liam. Mason said that (Mason is a hero and Jacob is a villain) or (Mason is a villain). \"if (if Jacob is a villain th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1805, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]... | {"split": "train", "index": 8473} |
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 5 inhabitants: William, Matthew, Mason, Noah, and Owen. William said that it is not the case that (if William is an angel then Mason is an angel). Matthew stated, \"W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1806, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 0], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3]... | {"split": "train", "index": 8474} |
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 5 inhabitants: Olivia, Avery, Penelope, Zoey, and James. Olivia asserted: \"(James is a saint and Avery is a sinner) or (James is a saint if and only if Avery is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1807, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"or\", [\"lying\", 3], [\"not\", [\"telling-truth\", 4]]]... | {"split": "train", "index": 8475} |
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 5 inhabitants: Elizabeth, Owen, James, Riley, and Chloe. \"James is an egoist,\" Elizabeth declared. In Owen's words: \"Riley is an egoist\". James said that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1808, \"statements\": [[\"lying\", 2], [\"lying\", 3], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-trut... | {"split": "train", "index": 8476} |
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 5 inhabitants: Emma, Matthew, Liam, Luke, and Oliver. Emma said that if (Oliver is a hero and Liam is a villain) then Matthew is a hero. According to Matthew, \"if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1809, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 1]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"or\"... | {"split": "train", "index": 8477} |
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 5 inhabitants: Avery, Ella, Olivia, Penelope, and David. Avery commented, \"it is not the case that (David is an altruist if and only if Ella is an egoist)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1810, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"lying\", 4], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"telling... | {"split": "train", "index": 8478} |
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 5 inhabitants: Daniel, Samuel, Riley, Mason, and Liam. Daniel told you that (Riley is a devil) or Liam is an angel. Samuel said that (if Mason is an angel then Daniel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1811, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"->... | {"split": "train", "index": 8479} |
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 5 inhabitants: David, Matthew, Olivia, Aiden, and Chloe. David noted, \"(Aiden is a hero and Chloe is a villain) if and only if (Matthew is a hero or Olivia is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1812, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"lying\", 2]], [\"lying\", 4]... | {"split": "train", "index": 8480} |
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 5 inhabitants: Mia, Ava, Charlotte, Scarlett, and Daniel. Mia asserted: \"if (Scarlett is an angel and Charlotte is an angel) then (Scarlett is a devil if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1813, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"lying\", 0], [\"lyi... | {"split": "train", "index": 8481} |
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 5 inhabitants: Jackson, Olivia, Chloe, Grace, and Avery. According to Jackson, \"(Olivia is an altruist if and only if Avery is an altruist) or (if Chloe is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1814, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"te... | {"split": "train", "index": 8482} |
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 5 inhabitants: Penelope, Owen, Oliver, Abigail, and Sebastian. In Penelope's words: \"(Sebastian is an egoist or Oliver is an egoist) and (Oliver is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1815, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"ly... | {"split": "train", "index": 8483} |
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 5 inhabitants: Lily, Mia, Michael, Victoria, and Ella. Lily stated, \"(Michael is a laggard if and only if Mia is a pioneer) or (if Ella is a laggard then Vic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1816, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"telling-truth\", 1]], [\"and\", [\"ly... | {"split": "train", "index": 8484} |
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 5 inhabitants: Ethan, Jackson, Emily, William, and Ella. \"it is not the case that (Jackson is an egoist),\" Ethan mentioned. Jackson expressed that it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1817, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 0]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]],... | {"split": "train", "index": 8485} |
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 5 inhabitants: Lily, Harper, Henry, Isabella, and Avery. \"Avery is a knave,\" Lily declared. As Harper put it, \"if (Isabella is a knave) then (Isabella is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1818, \"statements\": [[\"lying\", 4], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"tell... | {"split": "train", "index": 8486} |
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 5 inhabitants: Chloe, Scarlett, Alexander, Penelope, and Henry. Chloe noted, \"(Scarlett is a hero or Penelope is a hero) if and only if (Scarlett is a hero and Ale... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1819, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"lying\", 0], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 1], ... | {"split": "train", "index": 8487} |
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 5 inhabitants: Penelope, Mason, Aiden, Noah, and Ava. Penelope said, \"(if Aiden is an egoist then Mason is an egoist) if and only if (Mason is an altruist if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1820, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0... | {"split": "train", "index": 8488} |
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 5 inhabitants: Elizabeth, Harper, Olivia, Evelyn, and Ella. \"if Harper is a sage then (Harper is a fool if and only if Evelyn is a sage)\" - Elizabeth. Harper told you t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1821, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"or... | {"split": "train", "index": 8489} |
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 5 inhabitants: Mia, Henry, Riley, Alexander, and Zoey. Mia expressed that Riley is a hero. Henry was heard saying, \"if (Riley is a villain) then (Riley is a hero o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1822, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"tell... | {"split": "train", "index": 8490} |
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 5 inhabitants: Jack, Luke, Aurora, Ava, and Joseph. Jack was heard saying, \"(Jack is a pioneer and Joseph is a laggard) if and only if Aurora is a pioneer\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1823, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"lying\", 0], [\"<=>\", [\"telling-t... | {"split": "train", "index": 8491} |
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 5 inhabitants: Zoey, Alexander, Emma, Logan, and Jacob. Zoey stated, \"(Alexander is a saint or Logan is a saint) and (Jacob is a sinner and Alexander is a sinner)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1824, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-tr... | {"split": "train", "index": 8492} |
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 5 inhabitants: Amelia, Ethan, Mason, Riley, and David. Amelia remarked, \"(if Riley is a fool then Ethan is a sage) if and only if (David is a fool or Riley is a fool)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1825, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 8493} |
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 5 inhabitants: Chloe, Olivia, Benjamin, Charlotte, and William. \"Benjamin is a knight\" - Chloe. Olivia noted, \"William is a knight if and only if (Chloe is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1826, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], ... | {"split": "train", "index": 8494} |
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 5 inhabitants: Olivia, Daniel, James, Emma, and Jack. In a statement by Olivia: \"James is a hero\". \"James is a hero and (Emma is a hero or Olivia is a hero)\" - ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1827, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]],... | {"split": "train", "index": 8495} |
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 5 inhabitants: Emily, Zoey, Victoria, Grace, and Oliver. Emily expressed that if (Zoey is an angel or Grace is a devil) then (Victoria is a devil). Zoey expressed tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1828, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 4]], [\"not\", ... | {"split": "train", "index": 8496} |
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 5 inhabitants: Penelope, Lucas, Emma, Aurora, and Aiden. In a statement by Penelope: \"it is not the case that (if Aurora is a devil then Lucas is a devil)\". \"(Auro... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1829, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 0]], [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"l... | {"split": "train", "index": 8497} |
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 5 inhabitants: Elizabeth, Emily, Riley, Sophia, and Amelia. In Elizabeth's words: \"Amelia is an altruist if and only if (Elizabeth is an altruist or Amelia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1830, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]],... | {"split": "train", "index": 8498} |
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 5 inhabitants: Charlotte, Victoria, Aiden, Benjamin, and Grace. Charlotte said, \"if (Grace is a villain or Benjamin is a villain) then (Grace is a villain).\" Vict... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1831, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 0], [\"lying\", 3]]], [\"not\", [\... | {"split": "train", "index": 8499} |
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