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 knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Emily, James, Sofia, and Joseph. As Ethan put it, \"if (Ethan is a knight or Emily is a knight) then (if Emily is a knight then Ethan is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 832, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling... | {"split": "train", "index": 7500} |
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: Zoey, Ava, Victoria, Abigail, and Riley. \"(if Abigail is a knight then Zoey is a knight) or (Riley is a knave if and only if Zoey is a knight),\" Zo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 833, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"lying\", 0]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]... | {"split": "train", "index": 7501} |
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, Liam, Ella, Amelia, and Oliver. Jackson noted, \"(if Amelia is a pioneer then Amelia is a laggard) or (if Oliver is a laggard then Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 834, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], ... | {"split": "train", "index": 7502} |
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, Ethan, Lily, Aria, and David. In a statement by Lucas: \"it is not the case that (David is a pioneer or Ethan is a pioneer)\". \"it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 835, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"... | {"split": "train", "index": 7503} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sophia, Abigail, James, Oliver, and Liam. Sophia told you that if (Sophia is a saint if and only if Abigail is a saint) then (Liam is a saint and Jam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 836, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]],... | {"split": "train", "index": 7504} |
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: Grace, Michael, Harper, Owen, and Mia. \"if (Michael is a knave if and only if Harper is a knave) then Harper is a knave,\" Grace mentioned. \"if (Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 837, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"lying\", 2]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-... | {"split": "train", "index": 7505} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Owen, Liam, Harper, Daniel, and David. Owen noted, \"(if Liam is a devil then Harper is a devil) if and only if (Owen is an angel and Daniel is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 838, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 4], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\"... | {"split": "train", "index": 7506} |
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: Chloe, Daniel, Jacob, Abigail, and Zoey. According to Chloe, \"(Daniel is a fool) or (Zoey is a fool and Zoey is a sage)\". \"(Jacob is a fool or Daniel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 839, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]]... | {"split": "train", "index": 7507} |
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, Samuel, Jack, Michael, and Penelope. Aiden expressed that if (Penelope is a knight and Samuel is a knave) then (Samuel is a knave). Samuel sta... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 840, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", ... | {"split": "train", "index": 7508} |
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: James, Emily, Liam, Matthew, and David. James said, \"(David is an angel or Matthew is an angel) and (Emily is a devil and Liam is a devil).\" Emily ex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 841, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"tel... | {"split": "train", "index": 7509} |
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, Victoria, Aurora, Zoey, and Sebastian. \"Aurora is a sage,\" Ethan mentioned. \"if (Victoria is a sage and Sebastian is a fool) then (if Aurora is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 842, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [... | {"split": "train", "index": 7510} |
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, Evelyn, Matthew, Benjamin, and Emily. Sebastian told you that (if Evelyn is a hero then Emily is a hero) or (if Matthew is a hero then Seb... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 843, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"lying\", 3], [... | {"split": "train", "index": 7511} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jackson, Chloe, Aria, Aiden, and Jacob. As Jackson put it, \"if (Aiden is an egoist and Chloe is an altruist) then (Jacob is an altruist or Ari... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 844, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-t... | {"split": "train", "index": 7512} |
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: Noah, Chloe, Sofia, Aria, and Jacob. Noah remarked, \"(Aria is a sage or Chloe is a fool) if and only if (Noah is a fool)\". Chloe noted, \"if Sofia is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 845, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"or\"... | {"split": "train", "index": 7513} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Owen, Sofia, Joseph, Noah, and Logan. \"(Joseph is a devil if and only if Noah is a devil) if and only if (if Sofia is a devil then Noah is a devil)\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 846, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 0]]], [\"and\", [\"not\",... | {"split": "train", "index": 7514} |
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, Ava, Matthew, Grace, and Daniel. \"(Matthew is a hero or Grace is a villain) and (Matthew is a hero if and only if Grace is a villain),\" Chlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 847, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"lyi... | {"split": "train", "index": 7515} |
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: Penelope, Ella, David, Lily, and Aria. Penelope commented, \"(Aria is a laggard and Lily is a pioneer) and (Lily is a pioneer or Aria is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 848, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1],... | {"split": "train", "index": 7516} |
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: Sofia, Jacob, Mason, Riley, and Emily. According to Sofia, \"it is not the case that (Mason is a saint and Jacob is a sinner)\". \"it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 849, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-... | {"split": "train", "index": 7517} |
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: David, Jackson, Oliver, Evelyn, and Ethan. David expressed that (David is a saint and Jackson is a saint) or (Evelyn is a sinner or Oliver is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 850, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-tru... | {"split": "train", "index": 7518} |
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, Benjamin, Grace, Sofia, and Isabella. Evelyn noted, \"Isabella is a fool\". \"(Evelyn is a sage or Evelyn is a fool) or (Evelyn is a sage),\" Benja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 851, \"statements\": [[\"lying\", 4], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"not\", [\"lying\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [... | {"split": "train", "index": 7519} |
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, Jackson, Amelia, Abigail, and Logan. \"Abigail is a pioneer and (Abigail is a laggard),\" Victoria mentioned. According to Jackson, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 852, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"lying\", 1], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]... | {"split": "train", "index": 7520} |
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: Harper, Riley, Penelope, Ava, and Oliver. Harper stated, \"(Ava is a laggard) if and only if Harper is a pioneer\". \"Penelope is a pioneer if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 853, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\"... | {"split": "train", "index": 7521} |
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, Victoria, Jack, Michael, and Henry. Aurora asserted: \"(Jack is a devil and Henry is a devil) if and only if Aurora is an angel\". Victoria was... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 854, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 0]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"not\", [\"o... | {"split": "train", "index": 7522} |
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, Michael, Amelia, Evelyn, and Elizabeth. \"if (Amelia is a sinner or Amelia is a saint) then (Evelyn is a saint or Michael is a saint)\" - Sam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 855, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4],... | {"split": "train", "index": 7523} |
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: Owen, Zoey, Ava, Evelyn, and Lucas. Owen remarked, \"(if Ava is a knight then Owen is a knight) if and only if (Zoey is a knight if and only if Evely... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 856, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"tel... | {"split": "train", "index": 7524} |
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, Elizabeth, Lily, Aurora, and Sebastian. In a statement by Sophia: \"(Aurora is an altruist if and only if Sebastian is an egoist) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 857, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", ... | {"split": "train", "index": 7525} |
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, Oliver, Ethan, Jack, and Aurora. Noah told you that Oliver is a sinner. \"it is not the case that (Jack is a sinner if and only if Jack is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 858, \"statements\": [[\"lying\", 1], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 7526} |
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: Amelia, Jacob, Noah, Isabella, and Ava. Amelia told you that Ava is an altruist. Jacob was heard saying, \"(Amelia is an egoist and Amelia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 859, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 1... | {"split": "train", "index": 7527} |
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: Benjamin, Zoey, William, Jacob, and Amelia. \"(William is a villain and Amelia is a hero) if and only if (Jacob is a hero),\" Benjamin claimed. Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 860, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\... | {"split": "train", "index": 7528} |
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, Liam, Zoey, Logan, and Emily. Grace said that (if Liam is a hero then Emily is a hero) or (Zoey is a villain or Grace is a hero). Liam express... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 861, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], ... | {"split": "train", "index": 7529} |
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, Isabella, Aiden, William, and Olivia. \"(William is a laggard and Isabella is a laggard) if and only if (William is a laggard),\" Emma de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 862, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 2], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"telling-truth\", 2], [\"->\", [\"no... | {"split": "train", "index": 7530} |
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: Benjamin, Matthew, Luke, James, and Avery. Benjamin noted, \"Avery is an altruist and (Matthew is an egoist if and only if Luke is an egoist)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 863, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"<=... | {"split": "train", "index": 7531} |
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, Joseph, Mason, Aurora, and Luke. \"Joseph is a sage,\" Sofia declared. \"(Luke is a fool if and only if Aurora is a fool) and (Aurora is a fool or J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 864, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying... | {"split": "train", "index": 7532} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Jack, Mia, Henry, and Joseph. \"(Jack is a knave and Emily is a knight) or (Henry is a knave if and only if Mia is a knave),\" Emily claimed. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 865, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 0], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 1... | {"split": "train", "index": 7533} |
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: Scarlett, Owen, Amelia, Harper, and Elizabeth. Scarlett said, \"if (Amelia is a knave if and only if Amelia is a knight) then Elizabeth is a knight.\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 866, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]], [\"telling-truth\", 4]], [\"not\", [\"not\", [\"telling-tru... | {"split": "train", "index": 7534} |
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: Lily, David, Jackson, Mia, and Ella. According to Lily, \"David is an egoist and (if Jackson is an egoist then David is an altruist)\". Accordi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 867, \"statements\": [[\"and\", [\"lying\", 1], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"not\", [\"a... | {"split": "train", "index": 7535} |
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: Matthew, Isabella, Joseph, Avery, and Sofia. Matthew stated, \"(Sofia is a knave) or (Isabella is a knave and Isabella is a knight)\". In a statement... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 868, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-trut... | {"split": "train", "index": 7536} |
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, Lucas, Ethan, Emily, and Sofia. As Zoey put it, \"if (Emily is a hero and Lucas is a villain) then Ethan is a hero\". Lucas asserted: \"(Sofia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 869, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 2]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"te... | {"split": "train", "index": 7537} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Scarlett, Ella, Amelia, Grace, and Victoria. As Scarlett put it, \"(Victoria is an angel) or (Grace is a devil and Ella is a devil)\". Ella noted, \"if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 870, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 4]], ... | {"split": "train", "index": 7538} |
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, Sofia, Luke, Aiden, and Ethan. As Matthew put it, \"it is not the case that (Sofia is a fool)\". \"(Matthew is a fool) if and only if (Luke is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 871, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 4], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [... | {"split": "train", "index": 7539} |
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: Aria, Liam, Emily, David, and Jackson. In a statement by Aria: \"(Jackson is a laggard) and (if Jackson is a laggard then David is a pioneer)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 872, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"lying\", 4], [\"... | {"split": "train", "index": 7540} |
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: Henry, Alexander, Ethan, Amelia, and Daniel. Henry stated, \"(Ethan is an altruist) or (Alexander is an altruist and Daniel is an egoist)\". In... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 873, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"lying\", 2], [\"not\", [\"lying\", 3]]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"... | {"split": "train", "index": 7541} |
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: Oliver, Liam, Charlotte, William, and James. Oliver expressed that (Charlotte is a fool or James is a fool) or (Charlotte is a fool and Charlotte is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 874, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3]... | {"split": "train", "index": 7542} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: William, Liam, Olivia, Michael, and Sebastian. William expressed that (Michael is a devil and Liam is a devil) or (Sebastian is an angel). Liam noted, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 875, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"->\", [\"->\"... | {"split": "train", "index": 7543} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ethan, Charlotte, Evelyn, Sophia, and Penelope. Ethan expressed that Penelope is an angel if and only if (Sophia is a devil). \"if (Evelyn is a devil o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 876, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"telling-truth\", 4], [\"and\... | {"split": "train", "index": 7544} |
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, Henry, Penelope, Joseph, and David. Jack asserted: \"(Jack is a knave) and (Henry is a knave)\". Henry stated, \"it is not the case that (Henry... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 877, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"lying... | {"split": "train", "index": 7545} |
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, Scarlett, Aria, Penelope, and Lucas. According to Harper, \"Penelope is a knave\". According to Scarlett, \"Lucas is a knave\". Aria asserted... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 878, \"statements\": [[\"lying\", 3], [\"lying\", 4], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\"... | {"split": "train", "index": 7546} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ethan, Olivia, Scarlett, Chloe, and Victoria. Ethan asserted: \"(if Victoria is an angel then Scarlett is an angel) if and only if (Olivia is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 879, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"lying\", 4], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"<=>\", [\"lyin... | {"split": "train", "index": 7547} |
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: Harper, Avery, Alexander, Zoey, and Samuel. According to Harper, \"(Harper is a laggard) and (Harper is a pioneer if and only if Samuel is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 880, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-tr... | {"split": "train", "index": 7548} |
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: Ella, Michael, Jackson, Avery, and Chloe. Ella commented, \"Avery is a sinner\". Michael asserted: \"(if Michael is a saint then Chloe is a saint) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 881, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\"... | {"split": "train", "index": 7549} |
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, Chloe, Ethan, Luke, and Sofia. William said, \"(Sofia is a saint) and (Ethan is a sinner and William is a saint).\" \"(Luke is a sinner) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 882, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"and\", [\"not\", [\"telling-truth\", 1]], [... | {"split": "train", "index": 7550} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ella, David, Liam, Victoria, and Chloe. Ella commented, \"(Chloe is a fool or Liam is a sage) and Chloe is a fool\". David remarked, \"Liam is a sage or (L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 883, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lyin... | {"split": "train", "index": 7551} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Zoey, Mia, Liam, Joseph, and Isabella. Zoey said that (if Liam is a sinner then Liam is a saint) if and only if (if Isabella is a sinner then Zoey is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 884, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"ly... | {"split": "train", "index": 7552} |
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, Riley, Emily, Noah, and Samuel. \"if Emily is an angel then (Riley is an angel or Aiden is an angel)\" - Aiden. In a statement by Riley: \"if Ri... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 885, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 1], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 7553} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Zoey, Ethan, Logan, Lucas, and Alexander. Zoey expressed that (Zoey is a saint and Logan is a sinner) if and only if (Ethan is a sinner and Alexander... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 886, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"tel... | {"split": "train", "index": 7554} |
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, James, William, Chloe, and Logan. Aiden said that it is not the case that (Chloe is a pioneer). James said that Aiden is a pioneer. Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 887, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 0], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 3]], \"s... | {"split": "train", "index": 7555} |
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, Ethan, Zoey, Avery, and Sofia. Abigail asserted: \"if (if Zoey is an altruist then Ethan is an altruist) then (Avery is an altruist or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 888, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"or... | {"split": "train", "index": 7556} |
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, Aria, Joseph, Lucas, and Ella. As Grace put it, \"if (Ella is a pioneer or Grace is a pioneer) then (Lucas is a pioneer or Ella is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 889, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], ... | {"split": "train", "index": 7557} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sophia, Henry, Aiden, Sebastian, and Penelope. In a statement by Sophia: \"Sebastian is a saint or Penelope is a sinner\". \"Sophia is a sinner if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 890, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"and\", [\"lying\", 0], [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3... | {"split": "train", "index": 7558} |
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, Luke, Lucas, and Grace. Aiden noted, \"(Luke is a devil or Benjamin is an angel) or (Grace is a devil if and only if Lucas is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 891, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]... | {"split": "train", "index": 7559} |
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, Luke, Zoey, Jack, and Scarlett. Samuel stated, \"if (Zoey is a sinner and Samuel is a saint) then (Scarlett is a sinner if and only if Jack i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 892, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 4]], [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 7560} |
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: Sebastian, Scarlett, Matthew, Lucas, and Abigail. \"it is not the case that (if Abigail is a knave then Matthew is a knave)\" - Sebastian. Scarlett r... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 893, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"lying\", 3]], [\"lying\", 1], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]... | {"split": "train", "index": 7561} |
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: Scarlett, Abigail, Charlotte, Samuel, and Jack. \"it is not the case that (Abigail is a laggard),\" Scarlett mentioned. \"Samuel is a laggard i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 894, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"... | {"split": "train", "index": 7562} |
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, Grace, Daniel, Aurora, and Sebastian. Zoey said, \"(if Grace is an angel then Aurora is a devil) or (Grace is a devil or Grace is an angel).\" Gr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 895, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\... | {"split": "train", "index": 7563} |
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: Ava, Aurora, Owen, Benjamin, and Mia. In a statement by Ava: \"Benjamin is a pioneer if and only if (if Ava is a pioneer then Benjamin is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 896, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"lying\", 3], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 7564} |
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, Ava, Emma, Benjamin, and William. Logan was heard saying, \"(Benjamin is a fool or Emma is a fool) if and only if (Ava is a fool if and only if Emma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 897, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\",... | {"split": "train", "index": 7565} |
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, Samuel, Lily, Ava, and Zoey. In a statement by Olivia: \"(Samuel is a devil and Zoey is a devil) if and only if (Lily is a devil or Ava is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 898, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 7566} |
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: Alexander, Luke, Zoey, Abigail, and Oliver. \"(Abigail is a fool) or (if Luke is a sage then Oliver is a fool),\" Alexander declared. \"Alexander is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 899, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"lying\", 0], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telli... | {"split": "train", "index": 7567} |
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, Sofia, Amelia, Grace, and Olivia. Lucas noted, \"Grace is a devil\". Sofia was heard saying, \"(Grace is an angel or Lucas is an angel) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 900, \"statements\": [[\"lying\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [... | {"split": "train", "index": 7568} |
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: Benjamin, Ella, Aiden, Grace, and Avery. In a statement by Benjamin: \"it is not the case that (if Ella is an altruist then Ella is an egoist)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 901, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 7569} |
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, Alexander, David, Sofia, and Liam. Scarlett told you that if Sofia is an egoist then (Liam is an egoist). Alexander noted, \"David is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 902, \"statements\": [[\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 2], [\"telling-truth\", 0], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"<=>\", [\"or\",... | {"split": "train", "index": 7570} |
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: Alexander, Ava, Grace, Evelyn, and Samuel. Alexander said that Grace is a fool. Ava stated, \"if (Evelyn is a fool) then (Alexander is a sage or Alexander ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 903, \"statements\": [[\"lying\", 2], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4]... | {"split": "train", "index": 7571} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Owen, Emily, Elizabeth, Charlotte, and Chloe. \"(if Charlotte is an angel then Elizabeth is an angel) or Elizabeth is an angel,\" Owen claimed. \"Charl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 904, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 1]]], ... | {"split": "train", "index": 7572} |
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: Amelia, Benjamin, Riley, Mia, and David. Amelia remarked, \"if (Riley is a sinner or David is a saint) then (Riley is a saint or David is a saint)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 905, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", 0], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], ... | {"split": "train", "index": 7573} |
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, Joseph, Samuel, Mia, and Aria. \"(Aria is a fool if and only if Joseph is a fool) or (Aria is a fool and Aria is a sage),\" Sofia declared. \"it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 906, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"lying\", 1], [\"not\", [\"or\", [\"t... | {"split": "train", "index": 7574} |
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: Jackson, Lucas, Liam, Benjamin, and Ethan. As Jackson put it, \"(if Benjamin is a sinner then Ethan is a saint) or (Liam is a sinner or Liam is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 907, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"not\",... | {"split": "train", "index": 7575} |
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, Oliver, Aurora, Ava, and Emily. Aiden told you that it is not the case that (Ava is an angel if and only if Emily is a devil). \"if (Oliver is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 908, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\... | {"split": "train", "index": 7576} |
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: Oliver, Michael, Scarlett, Ethan, and Alexander. Oliver remarked, \"if (Scarlett is an angel if and only if Alexander is an angel) then (if Ethan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 909, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"a... | {"split": "train", "index": 7577} |
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, Mason, James, Jack, and Aiden. According to Benjamin, \"(if Jack is a knave then Mason is a knight) if and only if (Aiden is a knight if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 910, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]... | {"split": "train", "index": 7578} |
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, Chloe, Alexander, Emma, and Joseph. Mason said that (Joseph is an altruist if and only if Chloe is an egoist) and (Chloe is an altruist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 911, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"<=>\", [\"->\", [\"lying\", ... | {"split": "train", "index": 7579} |
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: Matthew, James, Avery, Jacob, and Aria. According to Matthew, \"if (Jacob is a sinner and Avery is a saint) then (if Matthew is a saint then Jacob is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 912, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"telling-truth\", 3], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\... | {"split": "train", "index": 7580} |
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: Charlotte, Owen, Lucas, Michael, and Penelope. Charlotte said, \"(Lucas is an angel) and Lucas is a devil.\" Owen said, \"(if Michael is a devil then L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 913, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"lying\", 2]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 1], [\"lying\", 4], [\"or\", [\"or\... | {"split": "train", "index": 7581} |
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, Ava, Michael, Aurora, and Ethan. Elizabeth told you that Ethan is an angel. Ava stated, \"(Elizabeth is a devil if and only if Ethan is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 914, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"<=>\", [\"... | {"split": "train", "index": 7582} |
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, Abigail, Charlotte, Jack, and Noah. In Joseph's words: \"(Noah is a saint or Abigail is a sinner) if and only if (Charlotte is a saint and No... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 915, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]... | {"split": "train", "index": 7583} |
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: James, Samuel, Sofia, Victoria, and Daniel. James told you that if (James is a sinner) then (Sofia is a saint or James is a saint). \"(Victoria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 916, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"o... | {"split": "train", "index": 7584} |
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, Samuel, Avery, Henry, and Elizabeth. \"(if Samuel is a fool then Henry is a sage) and (if Henry is a sage then Henry is a fool)\" - Zoey. Samuel stat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 917, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"lying\", 0], [\"->\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 3], [\"telling-... | {"split": "train", "index": 7585} |
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: Jacob, Emily, Scarlett, Lucas, and Aiden. Jacob expressed that (Emily is a devil and Emily is an angel) if and only if (Emily is an angel or Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 918, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2]... | {"split": "train", "index": 7586} |
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: William, Mason, Alexander, Elizabeth, and Riley. William told you that (Mason is a pioneer and Riley is a laggard) if and only if (Alexander is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 919, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\... | {"split": "train", "index": 7587} |
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, Olivia, Jack, Luke, and Jackson. Charlotte stated, \"(Jack is a laggard) and (Olivia is a pioneer and Jackson is a laggard)\". \"(if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 920, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [\"lying\", 3... | {"split": "train", "index": 7588} |
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: Amelia, Sophia, Ella, Isabella, and Michael. \"Isabella is a laggard,\" Amelia claimed. In Sophia's words: \"if (Michael is a laggard if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 921, \"statements\": [[\"lying\", 3], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"->\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 7589} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Emily, Jacob, Penelope, and Benjamin. \"Emily is a knight,\" Oliver claimed. Emily asserted: \"(Emily is a knight or Benjamin is a knight) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 922, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"lying\", 1], [\"and\", [\"telling-truth\", 0], [\"<... | {"split": "train", "index": 7590} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lily, Samuel, Isabella, Elizabeth, and Evelyn. \"Elizabeth is a sinner,\" Lily declared. As Samuel put it, \"(Lily is a sinner and Lily is a saint) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 923, \"statements\": [[\"lying\", 3], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"ly... | {"split": "train", "index": 7591} |
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: Joseph, Harper, Logan, Ethan, and Scarlett. Joseph noted, \"Scarlett is a laggard if and only if Ethan is a laggard\". Harper said, \"if (Josep... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 924, \"statements\": [[\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 7592} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emily, Victoria, Grace, Lucas, and Harper. Emily remarked, \"Harper is a fool\". Victoria told you that it is not the case that (Lucas is a sage). \"Emily ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 925, \"statements\": [[\"lying\", 4], [\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 0], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"->\", [\"or\", [\"t... | {"split": "train", "index": 7593} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Emma, Alexander, Aurora, and Luke. Emily remarked, \"it is not the case that (Aurora is a knave or Emma is a knight)\". As Emma put it, \"(Luk... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 926, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"tellin... | {"split": "train", "index": 7594} |
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: Aria, Mia, Noah, Olivia, and Aurora. Aria said that (Aurora is a laggard or Olivia is a pioneer) and (if Aurora is a pioneer then Aurora is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 927, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"... | {"split": "train", "index": 7595} |
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: Harper, Mason, Ethan, Aria, and Noah. \"(Ethan is an angel or Harper is an angel) if and only if (Harper is an angel and Ethan is an angel)\" - Harper.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 928, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"lyin... | {"split": "train", "index": 7596} |
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: Evelyn, Penelope, Aurora, Ava, and Charlotte. According to Evelyn, \"(if Penelope is a hero then Penelope is a villain) and Charlotte is a villain\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 929, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 4]], [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"tellin... | {"split": "train", "index": 7597} |
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, Jack, Emma, Scarlett, and Samuel. Benjamin said that (Samuel is a saint or Scarlett is a sinner) if and only if (Jack is a saint and Emma i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 930, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 4]], [\"<=>\... | {"split": "train", "index": 7598} |
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, Michael, Evelyn, Mason, and Samuel. In Sebastian's words: \"(if Mason is an altruist then Sebastian is an altruist) or (Samuel is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 931, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 3]], [\"or\", [\"or\"... | {"split": "train", "index": 7599} |
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