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 heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lucas, Emma, Sophia, Owen, and Charlotte. In Lucas's words: \"(Owen is a hero or Sophia is a hero) if and only if (Sophia is a villain and Sophia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1232, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"telling-truth\", 2], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]]... | {"split": "train", "index": 7900} |
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: Aria, William, Sofia, Jack, and Sophia. Aria expressed that (Jack is a devil or William is a devil) if and only if (Jack is an angel if and only if Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1233, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"telling-... | {"split": "train", "index": 7901} |
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: Sebastian, Lily, Grace, Evelyn, and Joseph. Sebastian stated, \"(Grace is a fool) and (Grace is a fool if and only if Joseph is a sage)\". \"Joseph is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1234, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"not\", [\"->\", [\"... | {"split": "train", "index": 7902} |
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, Emma, Joseph, Elizabeth, and Jack. As Sofia put it, \"(Elizabeth is a hero) if and only if Jack is a villain\". Emma asserted: \"Sofia is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1235, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"lying\", 4]], [\"lying\", 0], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"or\", [\"->\", [\"l... | {"split": "train", "index": 7903} |
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: Jackson, Sofia, Joseph, Henry, and Scarlett. \"Scarlett is a laggard if and only if Sofia is a pioneer,\" Jackson claimed. As Sofia put it, \"H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1236, \"statements\": [[\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"lying\", 0]], [\"not\", [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 7904} |
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, Victoria, Henry, Oliver, and Sofia. \"(if Henry is an altruist then Oliver is an altruist) if and only if (Victoria is an altruist and H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1237, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"lying\", 0], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"<=>... | {"split": "train", "index": 7905} |
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, Alexander, Jack, David, and Benjamin. Isabella said that (Alexander is a knight and Jack is a knight) and (Benjamin is a knight and Alexand... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1238, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", ... | {"split": "train", "index": 7906} |
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: Ella, Jacob, Sofia, Benjamin, and Victoria. Ella said, \"if (Sofia is a knave and Benjamin is a knave) then (if Sofia is a knight then Jacob is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1239, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"... | {"split": "train", "index": 7907} |
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: Lucas, James, Liam, Noah, and Sebastian. Lucas was heard saying, \"(Sebastian is a pioneer if and only if James is a laggard) if and only if (L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1240, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"<=... | {"split": "train", "index": 7908} |
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, Lucas, Mason, Liam, and Daniel. Victoria remarked, \"if Lucas is a laggard then Lucas is a pioneer\". Lucas said that (Lucas is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1241, \"statements\": [[\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 3], ... | {"split": "train", "index": 7909} |
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: Jack, Benjamin, Zoey, Harper, and Amelia. \"(Amelia is an angel and Amelia is a devil) if and only if (Jack is an angel if and only if Amelia is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1242, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 7910} |
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: Mia, Liam, Elizabeth, Henry, and Olivia. Mia commented, \"Elizabeth is an altruist\". \"Mia is an altruist,\" Liam mentioned. \"if (Liam is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1243, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 0], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 7911} |
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: Sophia, Evelyn, Oliver, Isabella, and Ella. \"(Isabella is a laggard or Sophia is a pioneer) or Ella is a laggard,\" Sophia mentioned. Evelyn s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1244, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 4]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-tr... | {"split": "train", "index": 7912} |
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: Henry, Elizabeth, Mason, James, and Abigail. \"(Henry is a saint or James is a saint) and (Elizabeth is a saint and Abigail is a sinner),\" Henry men... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1245, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-tr... | {"split": "train", "index": 7913} |
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: Ava, David, Evelyn, James, and Aurora. Ava remarked, \"Aurora is a sage\". David stated, \"(David is a sage or Evelyn is a fool) and (Aurora is a fool or J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1246, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\"... | {"split": "train", "index": 7914} |
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: Isabella, Aiden, Sofia, William, and Scarlett. Isabella noted, \"it is not the case that (Sofia is an altruist)\". Aiden told you that (Scarlet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1247, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\... | {"split": "train", "index": 7915} |
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: Henry, Noah, Oliver, Ella, and Ethan. In a statement by Henry: \"(Noah is a hero and Noah is a villain) or (Noah is a hero or Oliver is a villain)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1248, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"lying\", 3]... | {"split": "train", "index": 7916} |
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: Michael, Daniel, Zoey, Lily, and Harper. \"if (Harper is a fool and Zoey is a sage) then (Harper is a sage or Daniel is a fool)\" - Michael. Daniel comment... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1249, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-tru... | {"split": "train", "index": 7917} |
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, Charlotte, Liam, Henry, and Sofia. In a statement by Mason: \"(Charlotte is a knight and Henry is a knave) and (Charlotte is a knight or Liam ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1250, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4... | {"split": "train", "index": 7918} |
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: Sebastian, Benjamin, Victoria, Oliver, and Aria. Sebastian commented, \"(Aria is an altruist or Victoria is an altruist) and (Victoria is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1251, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\"and\", [... | {"split": "train", "index": 7919} |
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: Benjamin, Ethan, Sophia, Ava, and Isabella. According to Benjamin, \"(Sophia is a sinner or Ethan is a saint) or Benjamin is a saint\". In Ethan's wo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1252, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"telling-t... | {"split": "train", "index": 7920} |
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: Chloe, Luke, Benjamin, Ava, and Grace. In Chloe's words: \"(Grace is a sinner and Ava is a saint) if and only if (Benjamin is a sinner or Grace is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1253, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 0... | {"split": "train", "index": 7921} |
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: Lily, Noah, Grace, Lucas, and Victoria. Lily was heard saying, \"Grace is an angel or (Lucas is a devil if and only if Lily is an angel)\". \"(Grace is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1254, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\... | {"split": "train", "index": 7922} |
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: David, Evelyn, Emily, James, and Jacob. As David put it, \"(Emily is an altruist) and (Jacob is an altruist if and only if Evelyn is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1255, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"... | {"split": "train", "index": 7923} |
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, Emma, Olivia, Matthew, and Mason. In a statement by Zoey: \"it is not the case that (if Matthew is a pioneer then Matthew is a laggard)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1256, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"telling-t... | {"split": "train", "index": 7924} |
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: Abigail, Olivia, William, Lucas, and Owen. Abigail expressed that (Olivia is a saint and Abigail is a saint) or Owen is a saint. Olivia stated, \"it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1257, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]... | {"split": "train", "index": 7925} |
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: Logan, Matthew, Owen, Jackson, and Riley. \"Matthew is a hero,\" Logan claimed. Matthew was heard saying, \"if (Matthew is a hero if and only if Owen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1258, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 0], [\"telling-trut... | {"split": "train", "index": 7926} |
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: Zoey, Sofia, Victoria, Abigail, and Mason. Zoey said that if (Sofia is a hero and Mason is a hero) then (if Victoria is a villain then Victoria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1259, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"telling-truth\", 1]], [\"<=>... | {"split": "train", "index": 7927} |
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: Elizabeth, James, Sebastian, Samuel, and Grace. \"(Sebastian is a knave) or (Sebastian is a knave or Samuel is a knight),\" Elizabeth declared. \"Eli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1260, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 0], [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"or\", [\"not\", [\"lying\", 0]], [\... | {"split": "train", "index": 7928} |
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: Benjamin, Oliver, Mia, Logan, and Lucas. Benjamin noted, \"(Lucas is a saint or Mia is a sinner) or (if Lucas is a saint then Lucas is a sinner)\". O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1261, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 0], [\"n... | {"split": "train", "index": 7929} |
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: Ethan, Samuel, Michael, Scarlett, and Jackson. As Ethan put it, \"Samuel is a knight\". Samuel expressed that if (Michael is a knave and Michael is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1262, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"lying\", 0],... | {"split": "train", "index": 7930} |
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: Noah, Ava, Henry, Chloe, and Oliver. Noah stated, \"(Oliver is a saint if and only if Chloe is a saint) and (Oliver is a sinner if and only if Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1263, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 4]], [\"<... | {"split": "train", "index": 7931} |
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: Sofia, James, Penelope, Ethan, and Avery. Sofia remarked, \"if (Penelope is an angel or Avery is a devil) then (if Penelope is a devil then Penelope is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1264, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], ... | {"split": "train", "index": 7932} |
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: Lucas, Liam, Aurora, Jacob, and Oliver. Lucas remarked, \"Oliver is an altruist\". Liam noted, \"(Lucas is an altruist if and only if Jacob is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1265, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"... | {"split": "train", "index": 7933} |
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: Mason, Michael, Riley, Joseph, and Elizabeth. Mason remarked, \"(Joseph is an egoist) or (Joseph is an altruist if and only if Riley is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1266, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"lying\", 2], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"lying\", 3], [\"<=>\", [\"->... | {"split": "train", "index": 7934} |
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: Henry, Chloe, Noah, Logan, and Grace. In Henry's words: \"(if Chloe is a saint then Grace is a saint) if and only if (Noah is a sinner if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1267, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"telling-truth\", 3], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]],... | {"split": "train", "index": 7935} |
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, Evelyn, Amelia, Matthew, and Harper. Aiden noted, \"if Matthew is a laggard then (Harper is a laggard)\". Evelyn commented, \"(if Matthe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1268, \"statements\": [[\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], ... | {"split": "train", "index": 7936} |
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: Samuel, Oliver, Sofia, Zoey, and Alexander. Samuel commented, \"if (Alexander is an altruist if and only if Alexander is an egoist) then (Alexa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1269, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2... | {"split": "train", "index": 7937} |
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: Grace, Amelia, Aiden, Mason, and William. Grace asserted: \"(Aiden is a sage if and only if William is a fool) if and only if (Amelia is a fool or Mason is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1270, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"telling-truth\", 1], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"te... | {"split": "train", "index": 7938} |
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: Emily, Grace, Jack, Jackson, and Sofia. \"(Jackson is a laggard and Sofia is a pioneer) if and only if Jackson is a pioneer\" - Emily. Grace wa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1271, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"... | {"split": "train", "index": 7939} |
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: Joseph, Luke, Oliver, Mia, and Harper. Joseph stated, \"(Oliver is a saint and Luke is a saint) if and only if Harper is a saint\". Luke asserted: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1272, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 0]], [\"and\", ... | {"split": "train", "index": 7940} |
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, Grace, Jack, Emma, and Penelope. Avery stated, \"Avery is a knight\". Grace commented, \"(Jack is a knight if and only if Penelope is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1273, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling... | {"split": "train", "index": 7941} |
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, Charlotte, Ella, Penelope, and Sebastian. Grace expressed that (Penelope is an altruist and Ella is an altruist) and (Charlotte is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1274, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 0]], [\"not\", [\"... | {"split": "train", "index": 7942} |
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: Aiden, Daniel, Luke, Jackson, and Jack. In a statement by Aiden: \"(Aiden is a knight or Jackson is a knave) and (Daniel is a knave or Jack is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1275, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-tr... | {"split": "train", "index": 7943} |
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, Owen, Abigail, Avery, and Noah. Elizabeth asserted: \"Noah is a fool\". Owen was heard saying, \"if Avery is a fool then (Elizabeth is a sage an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1276, \"statements\": [[\"lying\", 4], [\"->\", [\"lying\", 3], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 3]], [\"<=>\", [\"->\", [\"te... | {"split": "train", "index": 7944} |
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, Evelyn, Owen, Benjamin, and Jacob. Olivia asserted: \"(Evelyn is a devil if and only if Owen is a devil) and Jacob is an angel\". Evelyn said t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1277, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"lying\", 0]], [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling... | {"split": "train", "index": 7945} |
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: Liam, Jackson, Sebastian, Isabella, and Ethan. Liam stated, \"if (Isabella is an altruist if and only if Jackson is an altruist) then (Ethan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1278, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"or\", [\"and\",... | {"split": "train", "index": 7946} |
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: Charlotte, Oliver, Jack, Isabella, and Mia. Charlotte said, \"if (Oliver is a pioneer and Isabella is a laggard) then Mia is a pioneer.\" As Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1279, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-tru... | {"split": "train", "index": 7947} |
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: Michael, Chloe, Liam, Penelope, and Joseph. \"(Chloe is a fool or Michael is a sage) if and only if (Joseph is a fool or Liam is a fool),\" Michael declare... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1280, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"telling-truth\", 0], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"tel... | {"split": "train", "index": 7948} |
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, Logan, David, Avery, and Jackson. \"Logan is a knight,\" Chloe declared. Logan told you that (if David is a knight then David is a knave) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1281, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"and\"... | {"split": "train", "index": 7949} |
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: Joseph, Samuel, Owen, James, and Olivia. Joseph said, \"(Olivia is a villain or Owen is a hero) or (Samuel is a hero and Joseph is a hero).\" Samuel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1282, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]],... | {"split": "train", "index": 7950} |
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: Alexander, Luke, Mia, Zoey, and Lily. Alexander remarked, \"it is not the case that (if Zoey is an angel then Luke is an angel)\". Luke told you that Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1283, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2],... | {"split": "train", "index": 7951} |
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: Scarlett, Harper, Luke, Emma, and Michael. Scarlett noted, \"(Scarlett is a saint if and only if Harper is a saint) if and only if (Emma is a saint i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1284, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=... | {"split": "train", "index": 7952} |
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: Emily, Riley, Ethan, James, and Lucas. Emily said that it is not the case that (if Ethan is a saint then Riley is a sinner). Riley stated, \"(Lucas i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1285, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\",... | {"split": "train", "index": 7953} |
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: Sebastian, Isabella, Grace, Oliver, and Aurora. As Sebastian put it, \"(Sebastian is a pioneer if and only if Grace is a pioneer) and (Sebastia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1286, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 0], [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"or\"... | {"split": "train", "index": 7954} |
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, Lily, Victoria, Amelia, and Elizabeth. Joseph remarked, \"(Joseph is a sage and Victoria is a fool) or Victoria is a sage\". Lily remarked, \"it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1287, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 7955} |
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: Victoria, Scarlett, Emma, Lily, and Joseph. \"(Scarlett is an altruist if and only if Scarlett is an egoist) and (if Joseph is an altruist then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1288, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", ... | {"split": "train", "index": 7956} |
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: Mason, Elizabeth, Liam, Amelia, and Lucas. Mason expressed that if (Amelia is a devil and Elizabeth is a devil) then Liam is an angel. Elizabeth was he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1289, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"telling-truth\", 2]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\"... | {"split": "train", "index": 7957} |
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, Ava, Sofia, Lucas, and Daniel. Ella remarked, \"if Sofia is an altruist then (Lucas is an altruist)\". Ava asserted: \"it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1290, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"not\", [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 1], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"no... | {"split": "train", "index": 7958} |
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: Owen, William, Chloe, Ella, and Mason. \"Mason is a laggard,\" Owen declared. \"(Chloe is a pioneer and Owen is a pioneer) or (William is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1291, \"statements\": [[\"lying\", 4], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 4]], [\"not\", [\"or\", [\"lying\",... | {"split": "train", "index": 7959} |
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, Samuel, Ava, Ella, and Elizabeth. \"Elizabeth is an egoist,\" Avery claimed. In a statement by Samuel: \"if Avery is an altruist then (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1292, \"statements\": [[\"lying\", 4], [\"->\", [\"telling-truth\", 0], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"lying\", 0], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"tell... | {"split": "train", "index": 7960} |
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, William, Luke, Ava, and Jack. In a statement by Emma: \"(Ava is a saint if and only if Jack is a saint) or (Ava is a sinner)\". William noted, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1293, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"lying\", 4]], [\"lying\", 3], [\"lying\", 1],... | {"split": "train", "index": 7961} |
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: Abigail, Mason, Luke, Riley, and Ethan. Abigail asserted: \"Ethan is a saint\". Mason stated, \"(if Luke is a saint then Abigail is a saint) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1294, \"statements\": [[\"not\", [\"lying\", 4]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"or\", [\"lying\", 0], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]],... | {"split": "train", "index": 7962} |
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: Logan, Sofia, Scarlett, Amelia, and Matthew. In a statement by Logan: \"(Matthew is a fool) if and only if (Scarlett is a sage)\". According to Sofia, \"it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1295, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]],... | {"split": "train", "index": 7963} |
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: Jacob, Oliver, Daniel, Noah, and Alexander. Jacob remarked, \"(Daniel is a villain and Oliver is a villain) or (Noah is a villain)\". Oliver expresse... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1296, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", ... | {"split": "train", "index": 7964} |
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: Jackson, Jacob, Isabella, Ethan, and Victoria. Jackson was heard saying, \"Victoria is a villain\". Jacob remarked, \"Victoria is a villain\". Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1297, \"statements\": [[\"lying\", 4], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\", 1... | {"split": "train", "index": 7965} |
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: David, Benjamin, Jack, Abigail, and Alexander. David stated, \"if Jack is an altruist then (Abigail is an egoist or Jack is an egoist)\". Benja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1298, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"lying\", 4]], [\"->\", [\"not\", [\"telling-... | {"split": "train", "index": 7966} |
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, Joseph, Liam, Daniel, and Michael. \"Michael is a hero,\" Chloe claimed. Joseph noted, \"Daniel is a villain if and only if Joseph is a hero\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1299, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 1], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 2]], [\"or\", [\"and\", [\"telli... | {"split": "train", "index": 7967} |
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, Luke, Ethan, Mia, and Jackson. \"if (Jackson is a villain or Ethan is a hero) then (Jackson is a villain if and only if Mia is a villain),\" A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1300, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"lying\", 4]], [\"and\", [\"<=>\", [\"... | {"split": "train", "index": 7968} |
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, Ava, William, Riley, and Zoey. As Samuel put it, \"(if Ava is a fool then Samuel is a sage) and (William is a fool)\". Ava noted, \"if (Samuel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1301, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]... | {"split": "train", "index": 7969} |
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, Scarlett, Lucas, Jackson, and Samuel. \"(Lucas is a hero) and (if Scarlett is a hero then Jackson is a villain),\" Mason mentioned. \"(Jackson... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1302, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"or\", [\... | {"split": "train", "index": 7970} |
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: Avery, Oliver, Jackson, Ethan, and Victoria. Avery told you that Jackson is a villain. Oliver commented, \"it is not the case that (Ethan is a hero)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1303, \"statements\": [[\"lying\", 2], [\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\",... | {"split": "train", "index": 7971} |
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: Sophia, Liam, Alexander, Ethan, and Ava. \"it is not the case that (Liam is a laggard),\" Sophia declared. \"it is not the case that (Sophia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1304, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 0]]], [\"or\"... | {"split": "train", "index": 7972} |
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: Sofia, Ella, Grace, Liam, and James. Sofia noted, \"it is not the case that (Ella is a devil or Sofia is an angel)\". In a statement by Ella: \"Liam is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1305, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"and\", [\"tel... | {"split": "train", "index": 7973} |
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, William, Avery, and Alexander. Daniel expressed that if (Samuel is a devil and Alexander is a devil) then (Samuel is a devil). As Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1306, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\... | {"split": "train", "index": 7974} |
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: Victoria, Sofia, Henry, Samuel, and Harper. \"Henry is a devil,\" Victoria mentioned. \"Henry is a devil,\" Sofia declared. Henry noted, \"Samuel is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1307, \"statements\": [[\"lying\", 2], [\"lying\", 2], [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 2]]], \"solution\": [true, true, false, false, false], ... | {"split": "train", "index": 7975} |
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, Lily, Chloe, Grace, and Ella. Mason commented, \"(if Chloe is a knight then Chloe is a knave) if and only if (Ella is a knave or Grace is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1308, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 2]], [\"->\", [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 7976} |
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: Avery, James, Jacob, Michael, and David. Avery expressed that Michael is a sinner. In a statement by James: \"if (James is a saint or David is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1309, \"statements\": [[\"lying\", 3], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\",... | {"split": "train", "index": 7977} |
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: Harper, James, Abigail, David, and Riley. \"(David is a knight and Abigail is a knight) if and only if (James is a knight),\" Harper mentioned. James... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1310, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"lying\", 4], [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"and\", ... | {"split": "train", "index": 7978} |
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: Benjamin, Scarlett, Sofia, Elizabeth, and Olivia. \"Olivia is an angel or (Olivia is a devil and Elizabeth is a devil),\" Benjamin claimed. Scarlett st... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1311, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"t... | {"split": "train", "index": 7979} |
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: Victoria, Henry, Ella, Matthew, and Emily. Victoria commented, \"Emily is an angel\". \"if (Matthew is an angel) then (if Matthew is a devil then Ella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1312, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0]... | {"split": "train", "index": 7980} |
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: Ethan, Evelyn, Liam, Alexander, and Jackson. Ethan expressed that (Liam is a sage) if and only if (if Liam is a sage then Evelyn is a sage). \"(Ethan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1313, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"... | {"split": "train", "index": 7981} |
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, Amelia, Noah, Isabella, and Mason. Logan said that if (Amelia is an angel and Isabella is a devil) then Logan is an angel. In a statement by Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1314, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 0]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"no... | {"split": "train", "index": 7982} |
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, Owen, Luke, Ella, and Riley. Avery remarked, \"Avery is an altruist or (Luke is an altruist and Ella is an egoist)\". According to Owen,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1315, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\",... | {"split": "train", "index": 7983} |
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: Aurora, Olivia, Aria, Henry, and Penelope. Aurora told you that (Henry is a hero and Aria is a hero) or (Olivia is a hero and Henry is a villain). Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1316, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"lying\", 3... | {"split": "train", "index": 7984} |
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, Owen, David, Luke, and Grace. As Samuel put it, \"it is not the case that (Grace is a sage)\". \"(Grace is a sage if and only if Owen is a sage) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1317, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"tellin... | {"split": "train", "index": 7985} |
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: Liam, Luke, Ella, Mason, and Aurora. \"if (if Mason is a villain then Luke is a hero) then (Aurora is a hero if and only if Mason is a hero),\" Liam ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1318, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 0]], ... | {"split": "train", "index": 7986} |
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: Jack, Abigail, Charlotte, Isabella, and Olivia. Jack asserted: \"(Abigail is a knave if and only if Olivia is a knave) if and only if (Abigail is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1319, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 0]]], [\"... | {"split": "train", "index": 7987} |
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, Noah, Sofia, Aiden, and Ethan. \"(if Ethan is a saint then Aiden is a saint) and (if Noah is a sinner then Aiden is a sinner),\" Penelope d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1320, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"t... | {"split": "train", "index": 7988} |
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, Amelia, Logan, Sofia, and Grace. According to Ethan, \"(Sofia is an egoist or Logan is an egoist) if and only if (Sofia is an egoist)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1321, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 4]]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\... | {"split": "train", "index": 7989} |
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: Lucas, Ella, Daniel, Riley, and Joseph. Lucas asserted: \"Daniel is a knave\". \"(Daniel is a knight if and only if Riley is a knave) and Lucas is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1322, \"statements\": [[\"lying\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 0]], [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]... | {"split": "train", "index": 7990} |
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: Jack, Olivia, Aria, Scarlett, and Aurora. Jack noted, \"Aria is an altruist\". \"Aria is an altruist,\" Olivia claimed. Aria noted, \"(Aurora i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1323, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 2], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]],... | {"split": "train", "index": 7991} |
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: Scarlett, Ella, Charlotte, Sofia, and Sophia. Scarlett asserted: \"(if Charlotte is an egoist then Sophia is an egoist) or Ella is an egoist\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1324, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"lying\", 1]], [\"lying\", 4], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"lying\", 3]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\... | {"split": "train", "index": 7992} |
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: Jacob, Henry, Sophia, Grace, and Ava. \"if (if Sophia is a villain then Sophia is a hero) then (Grace is a hero)\" - Jacob. Henry noted, \"it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1325, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"lying\", 4]], [... | {"split": "train", "index": 7993} |
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: Ava, Jacob, Zoey, Scarlett, and Aurora. Ava said that (if Jacob is a villain then Ava is a hero) or (Zoey is a villain). Jacob told you that Aurora i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1326, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 4], [\"not\", [\"lying\", 0]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-... | {"split": "train", "index": 7994} |
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: Logan, Ava, Noah, Ethan, and Michael. Logan was heard saying, \"Noah is a villain and (Ethan is a hero if and only if Ethan is a villain)\". In a sta... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1327, \"statements\": [[\"and\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 0]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-t... | {"split": "train", "index": 7995} |
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: Sophia, Luke, Scarlett, Ethan, and Riley. Sophia stated, \"(Scarlett is a laggard if and only if Ethan is a pioneer) or (Luke is a pioneer)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1328, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"lying\", 4], [\"lying\", 0], [\"lying\", 1]], \"solution\": [... | {"split": "train", "index": 7996} |
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: Logan, Ava, Avery, Mason, and Charlotte. Logan said, \"Mason is a laggard or (if Charlotte is a pioneer then Ava is a pioneer).\" \"it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1329, \"statements\": [[\"or\", [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"lying\", 1], [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"telling-tru... | {"split": "train", "index": 7997} |
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: Owen, Sebastian, Matthew, Michael, and Sofia. As Owen put it, \"Matthew is a sinner if and only if (Matthew is a saint)\". \"(Matthew is a sinner) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1330, \"statements\": [[\"<=>\", [\"lying\", 2], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\",... | {"split": "train", "index": 7998} |
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, Noah, Logan, Sebastian, and Riley. \"if (if Logan is a villain then Noah is a hero) then (Logan is a villain if and only if Sebastian is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1331, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 7999} |
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