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 sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ava, Alexander, Joseph, Aurora, and Jackson. Ava stated, \"if (Joseph is a fool) then (Jackson is a sage or Alexander is a fool)\". \"Ava is a sage,\" Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 32, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"lying\", 0]], [\"lying\", 3], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\"... | {"split": "train", "index": 6700} |
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, Sophia, Michael, Jackson, and Daniel. Henry remarked, \"(Henry is a pioneer if and only if Michael is a pioneer) if and only if (Daniel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 33, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"lying\", 2], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"lyin... | {"split": "train", "index": 6701} |
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: Aurora, Sofia, Jackson, Daniel, and Charlotte. Aurora told you that Daniel is a saint. Sofia expressed that (Jackson is a sinner if and only if Auror... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 34, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1... | {"split": "train", "index": 6702} |
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: Alexander, Aurora, Ella, Victoria, and Harper. In Alexander's words: \"if (Aurora is a hero and Ella is a villain) then (Aurora is a villain)\". Auro... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 35, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"or... | {"split": "train", "index": 6703} |
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: Sophia, Scarlett, Elizabeth, Avery, and Jackson. Sophia remarked, \"Elizabeth is an egoist\". Scarlett told you that if Avery is an altruist th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 36, \"statements\": [[\"lying\", 2], [\"->\", [\"telling-truth\", 3], [\"or\", [\"lying\", 0], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\... | {"split": "train", "index": 6704} |
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, Mia, Abigail, Jacob, and Sophia. \"(Jacob is an altruist if and only if Abigail is an altruist) and Abigail is an altruist,\" Penelop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 37, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"lying\", 0], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 6705} |
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: Emma, Elizabeth, Noah, Penelope, and Mia. As Emma put it, \"it is not the case that (Elizabeth is a sage or Penelope is a fool)\". Elizabeth asserted: \"it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 38, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"telling-truth\", 1], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 0]], [\"or\"... | {"split": "train", "index": 6706} |
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: Zoey, Logan, Harper, Oliver, and Penelope. \"(Harper is a fool and Zoey is a sage) if and only if (Penelope is a sage or Oliver is a fool),\" Zoey declared... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 39, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"a... | {"split": "train", "index": 6707} |
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, Aiden, Emma, Liam, and William. \"(Aiden is a fool if and only if Emma is a sage) and (Aiden is a fool and Emma is a fool)\" - Ethan. In a statement... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 40, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-t... | {"split": "train", "index": 6708} |
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, Sophia, Daniel, Noah, and Mason. As Samuel put it, \"(if Sophia is an altruist then Noah is an altruist) and (if Sophia is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 41, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 3], ... | {"split": "train", "index": 6709} |
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: Sofia, Matthew, Elizabeth, William, and Luke. According to Sofia, \"(if Luke is a fool then Luke is a sage) if and only if (William is a sage)\". Matthew s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 42, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"not\", [\"and\", [... | {"split": "train", "index": 6710} |
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: Oliver, Ethan, Riley, Ava, and Benjamin. \"it is not the case that (Riley is a pioneer),\" Oliver claimed. \"(Benjamin is a pioneer or Ava is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 43, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3... | {"split": "train", "index": 6711} |
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: Samuel, Ava, Riley, Avery, and James. Samuel told you that Avery is a pioneer. \"if (Avery is a pioneer if and only if Samuel is a pioneer) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 44, \"statements\": [[\"not\", [\"lying\", 3]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 4], [\"not\", [\"lyin... | {"split": "train", "index": 6712} |
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, Logan, Lily, David, and Grace. Alexander commented, \"Logan is a laggard\". Logan expressed that (if David is a pioneer then Grace i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 45, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 2]], [\"<=>\",... | {"split": "train", "index": 6713} |
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, Ella, Aria, Mason, and Michael. Chloe stated, \"it is not the case that (Michael is a hero if and only if Mason is a hero)\". Ella expressed t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 46, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-tru... | {"split": "train", "index": 6714} |
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: Victoria, Harper, Sebastian, Noah, and Aiden. \"(Sebastian is a fool or Aiden is a sage) or (Noah is a sage),\" Victoria mentioned. In Harper's words: \"(N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 47, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]],... | {"split": "train", "index": 6715} |
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: Oliver, Mason, Mia, David, and Emma. In a statement by Oliver: \"Emma is an egoist\". Mason said that David is an altruist and Oliver is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 48, \"statements\": [[\"lying\", 4], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"and\", [\"lying\", 0], [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\"... | {"split": "train", "index": 6716} |
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: Aiden, Jackson, Evelyn, Aurora, and Victoria. In Aiden's words: \"(Victoria is a devil and Aiden is an angel) and (if Evelyn is an angel then Aurora is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 49, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]... | {"split": "train", "index": 6717} |
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, Ella, Benjamin, Aurora, and Joseph. \"Aurora is a pioneer,\" Lily mentioned. According to Ella, \"Aurora is a pioneer\". \"if (Aurora is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 50, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\"... | {"split": "train", "index": 6718} |
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, Emily, Lily, Sofia, and Zoey. \"Lily is an egoist if and only if Emily is an egoist\" - Scarlett. \"(Sofia is an altruist or Zoey is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 51, \"statements\": [[\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 6719} |
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: Noah, Sofia, Riley, Zoey, and Abigail. Noah was heard saying, \"Zoey is a devil\". Sofia expressed that (Abigail is a devil if and only if Zoey is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 52, \"statements\": [[\"lying\", 3], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [... | {"split": "train", "index": 6720} |
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, Liam, Alexander, Michael, and Aurora. Olivia noted, \"Liam is an angel\". Liam noted, \"if Alexander is an angel then (Michael is an angel or A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 53, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-t... | {"split": "train", "index": 6721} |
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, Samuel, Isabella, Sophia, and Aurora. Noah said that (Noah is a sinner) and (Isabella is a sinner or Sophia is a sinner). \"Isabella is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 54, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"lying\", 2], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"<=>\", [... | {"split": "train", "index": 6722} |
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, Charlotte, Sophia, Grace, and James. Ethan commented, \"(if Sophia is a sage then Grace is a fool) if and only if (Grace is a sage if and only if Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 55, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying... | {"split": "train", "index": 6723} |
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: Daniel, Sofia, Logan, Aurora, and Charlotte. Daniel told you that Sofia is a hero. Sofia said, \"Aurora is a hero.\" Logan was heard saying, \"if (Au... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 56, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 3], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 6724} |
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, Noah, Aiden, and Mia. William remarked, \"if (Mia is a saint if and only if Noah is a saint) then (if Aiden is a saint then Aiden is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 57, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"telling-truth\", 1], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\... | {"split": "train", "index": 6725} |
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: Charlotte, Avery, Jack, Lily, and Victoria. Charlotte stated, \"Avery is a sinner or Avery is a saint\". Avery remarked, \"Victoria is a saint if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 58, \"statements\": [[\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-trut... | {"split": "train", "index": 6726} |
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: Emma, Oliver, Jacob, Grace, and Victoria. Emma asserted: \"it is not the case that (Emma is a pioneer if and only if Victoria is a laggard)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 59, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 0], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 6727} |
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: Owen, Michael, Ava, James, and Riley. Owen told you that (James is a fool or Riley is a sage) and (Owen is a fool). \"if (if Ava is a fool then Riley is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 60, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"<=>... | {"split": "train", "index": 6728} |
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: Aurora, Mia, Ethan, Jacob, and Mason. Aurora noted, \"(Ethan is a devil if and only if Mason is a devil) or (if Mia is a devil then Ethan is a devil)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 61, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"... | {"split": "train", "index": 6729} |
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: Mia, Matthew, Aiden, Logan, and Ethan. According to Mia, \"if (Ethan is a fool if and only if Matthew is a fool) then (if Aiden is a sage then Matthew is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 62, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 6730} |
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, Sophia, Penelope, Jack, and Samuel. \"Samuel is a villain,\" Chloe claimed. According to Sophia, \"Chloe is a hero\". Penelope noted, \"Sophia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 63, \"statements\": [[\"lying\", 4], [\"telling-truth\", 0], [\"not\", [\"lying\", 1]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"and\",... | {"split": "train", "index": 6731} |
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: Grace, Amelia, Matthew, Zoey, and Alexander. \"(if Zoey is a hero then Matthew is a hero) or (Alexander is a villain),\" Grace declared. Amelia said ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 64, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 6732} |
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, Sebastian, Ethan, Penelope, and Jack. Charlotte said that if (Jack is a villain) then Charlotte is a hero. Sebastian expressed that Charlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 65, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 4], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-trut... | {"split": "train", "index": 6733} |
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: Elizabeth, David, Michael, Alexander, and Evelyn. Elizabeth said that (Michael is a saint and David is a sinner) if and only if (David is a saint or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 66, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"lying\", 3], [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"lying\", 0], [\"lying\"... | {"split": "train", "index": 6734} |
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: Abigail, David, Victoria, Ella, and Ethan. Abigail said, \"(Ethan is an egoist if and only if Ethan is an altruist) or (Ella is an egoist if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 67, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telli... | {"split": "train", "index": 6735} |
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, Owen, Matthew, Aria, and Daniel. Jackson stated, \"if (if Owen is a hero then Daniel is a villain) then Owen is a villain\". \"Jackson is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 68, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 1]], [\"lying\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"or\", ... | {"split": "train", "index": 6736} |
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: Henry, Emily, Avery, Charlotte, and Lily. Henry said, \"(Emily is an angel if and only if Lily is an angel) if and only if (if Lily is a devil then Lil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 69, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2]... | {"split": "train", "index": 6737} |
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: Samuel, Emma, Sebastian, Mason, and William. Samuel stated, \"(William is a hero or Mason is a hero) or (William is a hero and Emma is a villain)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 70, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 3]], ... | {"split": "train", "index": 6738} |
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: David, Benjamin, Matthew, Chloe, and Noah. \"(if Noah is an angel then Chloe is an angel) and (if Benjamin is an angel then Noah is a devil)\" - David.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 71, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"lying\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [... | {"split": "train", "index": 6739} |
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: Mason, Luke, Liam, Sofia, and Charlotte. Mason noted, \"if (if Sofia is a saint then Liam is a saint) then (Luke is a sinner if and only if Mason is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 72, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"lying\", 0], [\"lying\", 4], [\"not\"... | {"split": "train", "index": 6740} |
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, Harper, Joseph, Evelyn, and Samuel. Matthew stated, \"it is not the case that (Evelyn is a fool)\". Harper was heard saying, \"(if Samuel is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 73, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 1... | {"split": "train", "index": 6741} |
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, Grace, Mia, Daniel, and Henry. \"(Grace is an egoist or Riley is an altruist) if and only if Daniel is an altruist,\" Riley declared. In... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 74, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"lying... | {"split": "train", "index": 6742} |
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: Ethan, Penelope, Lily, David, and Oliver. In a statement by Ethan: \"it is not the case that (if Lily is a hero then Penelope is a hero)\". As Penelo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 75, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 0]]], [\"or\", [\"lying\", 0], ... | {"split": "train", "index": 6743} |
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, David, Lily, Michael, and Victoria. Aiden noted, \"if (Victoria is an altruist) then (Michael is an altruist if and only if Aiden is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 76, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\"... | {"split": "train", "index": 6744} |
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: Riley, Abigail, William, Samuel, and Lily. Riley commented, \"Abigail is an angel\". Abigail commented, \"if (William is an angel if and only if Riley ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 77, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"lying\", 2]]], [\"not\", [\"lying\", 1]], [\"or\", [\"<=>\", [\"telling-truth\", 1],... | {"split": "train", "index": 6745} |
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: Ethan, Sofia, Owen, Liam, and Jackson. Ethan told you that Jackson is a villain. Sofia said that (if Liam is a villain then Ethan is a villain) or (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 78, \"statements\": [[\"lying\", 4], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 1], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"->\", [\"te... | {"split": "train", "index": 6746} |
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, Mia, Riley, Lily, and Benjamin. Victoria said, \"Riley is an altruist.\" Mia asserted: \"(Lily is an altruist) or Victoria is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 79, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 0]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", ... | {"split": "train", "index": 6747} |
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: Chloe, Henry, Olivia, Charlotte, and Sebastian. As Chloe put it, \"(if Charlotte is a devil then Chloe is an angel) and (Charlotte is a devil and Charl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 80, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 0], [\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-... | {"split": "train", "index": 6748} |
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, Joseph, Owen, James, and Sebastian. Riley stated, \"(Owen is an altruist) and (Joseph is an egoist)\". In Joseph's words: \"if Owen is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 81, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]... | {"split": "train", "index": 6749} |
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: Michael, Jackson, Aiden, Chloe, and Emily. Michael said, \"Jackson is a pioneer or Aiden is a pioneer.\" Jackson was heard saying, \"Aiden is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 82, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 2], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 2], [\"<=>\", ... | {"split": "train", "index": 6750} |
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: Jack, Abigail, Emily, Oliver, and Luke. In a statement by Jack: \"Abigail is a villain or Emily is a villain\". Abigail stated, \"(Oliver is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 83, \"statements\": [[\"or\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", ... | {"split": "train", "index": 6751} |
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, James, Benjamin, Elizabeth, and Sophia. Samuel remarked, \"Elizabeth is a sinner\". James was heard saying, \"(Benjamin is a saint) and (Eliz... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 84, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"lying\", 0], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]... | {"split": "train", "index": 6752} |
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, Lily, Abigail, Mason, and Jackson. \"it is not the case that (Mason is a sinner and Jackson is a sinner),\" Penelope mentioned. Lily said t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 85, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 0]], [\"lying\", 2]], [\"telling-truth\", 4], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]... | {"split": "train", "index": 6753} |
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: Michael, Alexander, Charlotte, Jacob, and Evelyn. Michael commented, \"(Charlotte is a laggard if and only if Evelyn is a pioneer) and (Evelyn ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 86, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-t... | {"split": "train", "index": 6754} |
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, Charlotte, Ethan, Abigail, and Mia. Emma told you that it is not the case that (Mia is an egoist if and only if Abigail is an altruist). ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 87, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"... | {"split": "train", "index": 6755} |
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: Zoey, Emma, Ava, Grace, and Victoria. Zoey noted, \"Ava is a devil or (Emma is a devil and Zoey is an angel)\". In a statement by Emma: \"(Grace is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 88, \"statements\": [[\"or\", [\"lying\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\... | {"split": "train", "index": 6756} |
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, Samuel, Harper, Olivia, and Sophia. In Chloe's words: \"(Olivia is a saint or Sophia is a saint) if and only if (Samuel is a saint and Samuel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 89, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth... | {"split": "train", "index": 6757} |
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: Lucas, Mason, James, Ella, and Victoria. Lucas was heard saying, \"James is a devil\". Mason remarked, \"(if James is an angel then Lucas is an angel) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 90, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 3]... | {"split": "train", "index": 6758} |
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: Chloe, Michael, Aiden, Joseph, and Luke. Chloe said, \"(Michael is an angel or Aiden is an angel) if and only if Luke is an angel.\" Michael stated, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 91, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"->\", [\"and\", [\"lying... | {"split": "train", "index": 6759} |
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: Michael, Ella, Charlotte, Zoey, and Mia. \"(Mia is a devil or Ella is an angel) or (if Charlotte is a devil then Mia is an angel),\" Michael declared. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 92, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", ... | {"split": "train", "index": 6760} |
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: Sofia, Michael, Elizabeth, Mason, and Jacob. Sofia noted, \"Elizabeth is a fool or (Jacob is a fool or Jacob is a sage)\". Michael expressed that (Sofia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 93, \"statements\": [[\"or\", [\"lying\", 2], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [... | {"split": "train", "index": 6761} |
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: Zoey, Sofia, Logan, Luke, and Chloe. Zoey was heard saying, \"Logan is an altruist\". \"Logan is an egoist\" - Sofia. Logan was heard saying, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 94, \"statements\": [[\"telling-truth\", 2], [\"lying\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 4], [\"lying\", 0]], \"solution\": [true, false, ... | {"split": "train", "index": 6762} |
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: Aiden, Benjamin, Scarlett, Ella, and Harper. In Aiden's words: \"(Ella is a devil and Harper is a devil) if and only if (if Ella is a devil then Harper... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 95, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-trut... | {"split": "train", "index": 6763} |
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: Avery, Henry, Ethan, Logan, and Aria. Avery said that it is not the case that (if Ethan is a devil then Ethan is an angel). Henry said that (Avery is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 96, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"lying\", 4], [\"->\", [\"or\", [\"telling-tru... | {"split": "train", "index": 6764} |
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, Henry, Daniel, and Liam. Benjamin was heard saying, \"it is not the case that (Henry is a saint and Liam is a saint)\". \"(Henry is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 97, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 0]], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"tell... | {"split": "train", "index": 6765} |
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: Mia, Jack, Evelyn, Penelope, and Sofia. Mia stated, \"it is not the case that (Jack is a pioneer if and only if Sofia is a laggard)\". Jack exp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 98, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"an... | {"split": "train", "index": 6766} |
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, David, Ethan, Ella, and Oliver. \"(Oliver is a laggard or David is a pioneer) or (David is a pioneer)\" - Alexander. David said, \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 99, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"-... | {"split": "train", "index": 6767} |
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: Evelyn, Avery, Owen, Sophia, and Chloe. Evelyn said, \"(Sophia is an altruist) or (if Evelyn is an altruist then Chloe is an egoist).\" Accordi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 100, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"lying\", 4], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"telling-t... | {"split": "train", "index": 6768} |
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, David, William, Charlotte, and Jackson. Elizabeth stated, \"(Jackson is a knight and Elizabeth is a knight) and (David is a knave and Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 101, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"lying\", 3... | {"split": "train", "index": 6769} |
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, William, Benjamin, Chloe, and Amelia. Mia stated, \"if (if William is an angel then Chloe is a devil) then Chloe is an angel\". In a statement by ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 102, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 3]], [\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"lying\", 1], [\"and\", [\"... | {"split": "train", "index": 6770} |
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: Mason, Emma, Samuel, Scarlett, and Matthew. According to Mason, \"if (Emma is a fool if and only if Mason is a sage) then (Samuel is a fool or Scarlett is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 103, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"lying\", 3], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3],... | {"split": "train", "index": 6771} |
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, Owen, Sebastian, Ava, and Penelope. Matthew said that if (Ava is a sage) then (Sebastian is a sage if and only if Penelope is a sage). Owen assert... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 104, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 6772} |
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, Victoria, Joseph, Ella, and Luke. Elizabeth commented, \"Joseph is a devil or (Victoria is a devil)\". \"(Joseph is a devil or Victoria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 105, \"statements\": [[\"or\", [\"lying\", 2], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"te... | {"split": "train", "index": 6773} |
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, Henry, Harper, Sophia, and Riley. Avery expressed that if (Henry is a sinner if and only if Sophia is a sinner) then (if Henry is a sinner the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 106, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-tr... | {"split": "train", "index": 6774} |
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: Grace, Amelia, Luke, Harper, and Lucas. According to Grace, \"Lucas is a devil\". As Amelia put it, \"(Lucas is an angel) or (Grace is an angel or Grac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 107, \"statements\": [[\"lying\", 4], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 0]], [\"->\", [\"->\", [\"tell... | {"split": "train", "index": 6775} |
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: Grace, Jack, David, Elizabeth, and Sophia. Grace asserted: \"it is not the case that (David is a pioneer or Sophia is a laggard)\". According t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 108, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"lying\", 4], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\"... | {"split": "train", "index": 6776} |
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, Mia, Sofia, Samuel, and James. Matthew noted, \"(Samuel is a pioneer) or (Samuel is a pioneer or Mia is a pioneer)\". Mia stated, \"(i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 109, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"not\", [... | {"split": "train", "index": 6777} |
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, Lucas, Ava, Isabella, and Matthew. Elizabeth said that (Elizabeth is a pioneer if and only if Ava is a pioneer) and (Lucas is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 110, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"not\", [\... | {"split": "train", "index": 6778} |
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: Riley, Mason, Mia, Sophia, and Noah. Riley remarked, \"if (if Noah is a laggard then Noah is a pioneer) then (Mia is a pioneer)\". \"(if Riley ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 111, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"->\"... | {"split": "train", "index": 6779} |
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: Ava, Elizabeth, Michael, Emma, and Scarlett. Ava commented, \"it is not the case that (Elizabeth is a knight and Emma is a knight)\". Elizabeth expre... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 112, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\"... | {"split": "train", "index": 6780} |
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, Michael, Aurora, Sebastian, and Samuel. As Isabella put it, \"(if Aurora is a knave then Samuel is a knave) if and only if (Samuel is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 113, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 2]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 0]], [\"or\", [\"tel... | {"split": "train", "index": 6781} |
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: Sebastian, Ethan, Victoria, Mason, and Harper. According to Sebastian, \"(Harper is a hero if and only if Victoria is a hero) if and only if Victoria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 114, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-... | {"split": "train", "index": 6782} |
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, Ethan, Aiden, Evelyn, and Alexander. As Isabella put it, \"(Evelyn is a knight) if and only if (Aiden is a knight or Alexander is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 115, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4... | {"split": "train", "index": 6783} |
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: Evelyn, Aurora, Lucas, Olivia, and Emma. In a statement by Evelyn: \"(Emma is a sage or Evelyn is a sage) and (if Evelyn is a sage then Emma is a fool)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 116, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"lying\", 0], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"or\"... | {"split": "train", "index": 6784} |
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, Benjamin, Noah, Ava, and Sofia. Jackson said that if (Ava is a hero) then (if Noah is a hero then Noah is a villain). Benjamin asserted: \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 117, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 3],... | {"split": "train", "index": 6785} |
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, Lily, Owen, Aria, and Victoria. Jackson asserted: \"Lily is a sage\". Lily said that if Jackson is a fool then Victoria is a sage. Owen said that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 118, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"and\", [\"lying\", 4], [\"and\", [\"telli... | {"split": "train", "index": 6786} |
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, James, Luke, and Riley. \"(if James is a villain then Luke is a hero) and (Aurora is a hero if and only if Luke is a villain),\" Emma c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 119, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 2], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"or\... | {"split": "train", "index": 6787} |
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: Sophia, Harper, Jacob, Michael, and Noah. \"if (Harper is an altruist) then (if Jacob is an altruist then Jacob is an egoist)\" - Sophia. Harpe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 120, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"or\", [\"and\", [\"lying\", 3... | {"split": "train", "index": 6788} |
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: Mia, Zoey, Ethan, Sophia, and Aiden. Mia remarked, \"if (Aiden is a laggard and Sophia is a laggard) then (Ethan is a laggard or Sophia is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 121, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"telling-truth\", 0], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]... | {"split": "train", "index": 6789} |
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: Luke, Scarlett, Avery, Isabella, and Emma. Luke said, \"(Scarlett is an altruist or Isabella is an egoist) if and only if (Scarlett is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 122, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-trut... | {"split": "train", "index": 6790} |
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, Mia, Elizabeth, Owen, and Benjamin. Sophia said that (Mia is a fool) if and only if (if Sophia is a sage then Elizabeth is a sage). Mia stated, \"B... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 123, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"lying\", 4], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], ... | {"split": "train", "index": 6791} |
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: Oliver, Mia, Luke, Matthew, and Samuel. According to Oliver, \"it is not the case that (Matthew is a laggard if and only if Luke is a laggard)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 124, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-tr... | {"split": "train", "index": 6792} |
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, Luke, Mason, Victoria, and Henry. Ella was heard saying, \"(Luke is an egoist or Mason is an egoist) and (Henry is an egoist or Victoria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 125, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"lying\", 0], [\"and\", [\"... | {"split": "train", "index": 6793} |
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: Grace, Benjamin, Jack, Noah, and Matthew. \"(Benjamin is a hero) and (Noah is a villain or Jack is a hero),\" Grace claimed. \"(Grace is a hero) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 126, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telli... | {"split": "train", "index": 6794} |
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: Olivia, David, Mason, James, and Oliver. Olivia asserted: \"James is a sage or (Oliver is a sage if and only if Mason is a sage)\". David noted, \"if (Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 127, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\... | {"split": "train", "index": 6795} |
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, Charlotte, Sofia, Olivia, and Luke. \"it is not the case that (Charlotte is a laggard)\" - Henry. Charlotte asserted: \"Olivia is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 128, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-... | {"split": "train", "index": 6796} |
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: Ethan, Emma, Mia, Alexander, and Daniel. According to Ethan, \"Alexander is a villain\". According to Emma, \"it is not the case that (if Ethan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 129, \"statements\": [[\"lying\", 3], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"or\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"tellin... | {"split": "train", "index": 6797} |
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: Benjamin, Alexander, Lucas, Samuel, and Daniel. Benjamin told you that (if Alexander is a knave then Alexander is a knight) and (Samuel is a knight).... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 130, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [... | {"split": "train", "index": 6798} |
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: Scarlett, Aria, Joseph, Matthew, and Benjamin. \"(if Matthew is a fool then Aria is a sage) and (Matthew is a sage if and only if Joseph is a sage)\" - Sca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 131, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]],... | {"split": "train", "index": 6799} |
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