data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sophia, Matthew, Sebastian, Penelope, and Henry. \"it is not the case that (Penelope is a laggard or Henry is a pioneer or Sebastian is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1288, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 12400} |
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, Harper, Abigail, Chloe, and William. Scarlett remarked, \"(Chloe is a laggard) or (Harper is a pioneer or Chloe is a pioneer or Abiga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1289, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"telling-truth\... | {"split": "train", "index": 12401} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: James, Amelia, Penelope, Mia, and Scarlett. James said, \"(Amelia is a sage if and only if Penelope is a fool) if and only if (if Mia is a sage then Mia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1290, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"telling-truth\", 4], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"tell... | {"split": "train", "index": 12402} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Avery, Logan, Chloe, Victoria, and Daniel. As Avery put it, \"(Daniel is a villain and Logan is a hero) or (Chloe is a villain) or Chloe is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1291, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]], [\"lying\", 2], [\"not\", [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"o... | {"split": "train", "index": 12403} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Logan, Ava, Noah, Luke, and Lucas. In Logan's words: \"if (if Noah is an angel then Luke is an angel) then (Ava is a devil)\". Ava said, \"it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1292, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth... | {"split": "train", "index": 12404} |
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: Jacob, Lily, Abigail, Aurora, and Mason. Jacob asserted: \"(Aurora is a fool and Lily is a sage) if and only if (Abigail is a sage and Abigail is a fool)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1293, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]... | {"split": "train", "index": 12405} |
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: Alexander, Luke, Chloe, Lily, and Daniel. In Alexander's words: \"Lily is a sinner\". Luke told you that if (Daniel is a sinner or Alexander is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1294, \"statements\": [[\"lying\", 3], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"and\", [\"tel... | {"split": "train", "index": 12406} |
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: Jackson, Riley, Lily, Jack, and Sebastian. Jackson asserted: \"(Sebastian is a knight and Riley is a knave and Sebastian is a knave and Jackson is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1295, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"lying\", 2], [\"<=>\",... | {"split": "train", "index": 12407} |
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, Scarlett, Chloe, and Luke. \"(Scarlett is a laggard if and only if Luke is a pioneer) and (Chloe is a pioneer) and (Chloe is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1296, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 0], [\"l... | {"split": "train", "index": 12408} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Scarlett, Mason, William, Joseph, and Samuel. In a statement by Scarlett: \"(William is a villain and Mason is a villain) and Joseph is a hero and (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1297, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"telling-truth\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"... | {"split": "train", "index": 12409} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lily, Alexander, Sebastian, Aria, and William. As Lily put it, \"(Alexander is an angel and Aria is an angel) and (Alexander is a devil if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1298, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 12410} |
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: Lucas, Olivia, Aria, Chloe, and Amelia. Lucas said, \"Amelia is a sinner.\" In a statement by Olivia: \"Aria is a saint and (Olivia is a saint or Luc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1299, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"<=>\", [\"telli... | {"split": "train", "index": 12411} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Scarlett, Noah, Ella, Aiden, and Oliver. Scarlett told you that if (Noah is a hero) then (Noah is a hero if and only if Ella is a villain). According... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1300, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"telling-truth\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-tr... | {"split": "train", "index": 12412} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Amelia, Elizabeth, Jack, Evelyn, and Victoria. \"(Evelyn is a fool or Victoria is a fool) and (Evelyn is a sage and Evelyn is a fool and Victoria is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1301, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]]], ... | {"split": "train", "index": 12413} |
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: Ethan, Aria, Lily, Liam, and Benjamin. Ethan commented, \"it is not the case that (Benjamin is a saint or Ethan is a saint or Aria is a saint)\". Ari... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1302, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]], [... | {"split": "train", "index": 12414} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Michael, Riley, Lucas, Chloe, and Aria. Michael noted, \"(Riley is a sage or Lucas is a fool or Aria is a sage or Chloe is a sage) or Chloe is a fool or (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1303, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 3], [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"ly... | {"split": "train", "index": 12415} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Grace, Luke, Michael, and Elizabeth. Lily remarked, \"(Lily is a knave) or (Elizabeth is a knight) or Michael is a knight or (Grace is a knave ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1304, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]], [\"telling-truth\", 3], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"... | {"split": "train", "index": 12416} |
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, Liam, Chloe, Emma, and Daniel. Penelope said, \"it is not the case that (Chloe is a saint if and only if Penelope is a saint).\" Liam expre... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1305, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"te... | {"split": "train", "index": 12417} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Liam, Victoria, Zoey, Samuel, and James. \"it is not the case that (Victoria is a hero if and only if Victoria is a villain),\" Liam mentioned. Victo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1306, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 1], [\"<=>\", [\"te... | {"split": "train", "index": 12418} |
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, Matthew, Lily, Grace, and Emma. Evelyn noted, \"if Evelyn is a sage then (Lily is a sage)\". Matthew noted, \"(Lily is a fool and Lily is a sage an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1307, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"not\", [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"->\", [\"telling-tru... | {"split": "train", "index": 12419} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Jackson, Lily, James, and Zoey. \"Lily is a knight,\" Aria declared. \"(Jackson is a knight and James is a knight) if and only if (Lily is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1308, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"lying\", 1], [\"and\", [\"and\", [\"telling-tru... | {"split": "train", "index": 12420} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Penelope, Noah, Henry, Aria, and Owen. In a statement by Penelope: \"Owen is a saint\". \"(Penelope is a sinner if and only if Henry is a sinner) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1309, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"or\"... | {"split": "train", "index": 12421} |
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: Isabella, Ethan, Avery, Sofia, and Mason. Isabella expressed that (Ethan is a sage if and only if Avery is a sage) and (Ethan is a fool if and only if Etha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1310, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"lying\", 0], [\"lying\", 3], ... | {"split": "train", "index": 12422} |
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: Ava, Owen, Alexander, Aiden, and Chloe. Ava was heard saying, \"it is not the case that (Chloe is a saint and Alexander is a sinner and Owen is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1311, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", ... | {"split": "train", "index": 12423} |
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, Amelia, Michael, Logan, and Benjamin. \"Michael is a villain,\" Evelyn declared. \"(Benjamin is a hero and Evelyn is a villain and Benjamin i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1312, \"statements\": [[\"lying\", 2], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 12424} |
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, Luke, Victoria, Jacob, and Emily. \"Victoria is a villain if and only if Luke is a hero,\" Zoey mentioned. Luke remarked, \"it is not the case ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1313, \"statements\": [[\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0],... | {"split": "train", "index": 12425} |
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, Penelope, Aurora, Evelyn, and Liam. Jackson expressed that it is not the case that (Liam is a sage and Penelope is a fool). Penelope stated, \"(Pe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1314, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]],... | {"split": "train", "index": 12426} |
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: Luke, Liam, Zoey, Sofia, and Samuel. Luke said, \"(if Sofia is an angel then Samuel is a devil) and Sofia is an angel and Samuel is a devil.\" \"Samuel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1315, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 4], [\"or\", [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", ... | {"split": "train", "index": 12427} |
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, Luke, Noah, Owen, and Lucas. Matthew said that it is not the case that (if Lucas is a pioneer then Luke is a laggard). In Luke's words... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1316, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"l... | {"split": "train", "index": 12428} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Joseph, Aiden, Henry, Aurora, and Alexander. Joseph stated, \"(Aiden is a fool and Alexander is a sage) or Alexander is a sage or (Aiden is a sage and Henr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1317, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", ... | {"split": "train", "index": 12429} |
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: Daniel, Jack, Charlotte, Aiden, and Avery. Daniel noted, \"(if Jack is a sage then Charlotte is a sage) or (if Daniel is a sage then Aiden is a fool) or (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1318, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"... | {"split": "train", "index": 12430} |
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: Logan, Penelope, William, Mia, and Olivia. \"it is not the case that (Logan is a knight if and only if Mia is a knight)\" - Logan. \"(Logan is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1319, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 0]], [\"and\", [\"telling-trut... | {"split": "train", "index": 12431} |
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: Aurora, Luke, Abigail, Mia, and Penelope. Aurora was heard saying, \"Penelope is a fool\". \"Aurora is a sage\" - Luke. \"(Luke is a sage and Aurora is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1320, \"statements\": [[\"lying\", 4], [\"telling-truth\", 0], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"lying\", 0], [\"telling-truth\", 1], [\"not\", [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 4],... | {"split": "train", "index": 12432} |
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, Emma, James, Luke, and Sofia. \"if (James is a sage and Emma is a sage) then (James is a sage or Sofia is a sage or Luke is a sage)\" - Oliver. Emm... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1321, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"lyi... | {"split": "train", "index": 12433} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Scarlett, Amelia, Zoey, Michael, and Riley. Scarlett remarked, \"(Riley is a villain and Michael is a villain) and (if Scarlett is a hero then Zoey i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1322, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-tru... | {"split": "train", "index": 12434} |
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: Noah, Elizabeth, Zoey, Ava, and Penelope. Noah noted, \"Zoey is a knight or (if Penelope is a knave then Penelope is a knight)\". Elizabeth stated, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1323, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"tel... | {"split": "train", "index": 12435} |
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, Elizabeth, Oliver, and Charlotte. Aurora told you that Elizabeth is an angel. Mia said that (Oliver is an angel and Charlotte is an angel)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1324, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\", 2], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\"... | {"split": "train", "index": 12436} |
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: Noah, Penelope, Zoey, Chloe, and Jacob. Noah told you that (if Penelope is a laggard then Penelope is a pioneer) and (Penelope is a pioneer or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1325, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", ... | {"split": "train", "index": 12437} |
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: Aria, Mia, Abigail, Chloe, and Liam. In a statement by Aria: \"it is not the case that (Liam is an altruist and Aria is an altruist and Liam is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1326, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"tellin... | {"split": "train", "index": 12438} |
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: Charlotte, Avery, Victoria, Amelia, and Harper. \"it is not the case that (if Harper is an altruist then Amelia is an altruist),\" Charlotte de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1327, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-tru... | {"split": "train", "index": 12439} |
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: David, Sophia, Riley, Ethan, and Owen. David expressed that if (David is a sage if and only if Sophia is a sage) then (Ethan is a sage and Sophia is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1328, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"tell... | {"split": "train", "index": 12440} |
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: Michael, Amelia, Elizabeth, Daniel, and Isabella. According to Michael, \"(if Daniel is a saint then Isabella is a saint) if and only if Elizabeth is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1329, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\", 2]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\... | {"split": "train", "index": 12441} |
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, Amelia, Isabella, William, and Harper. Benjamin said that it is not the case that (Amelia is a knave and Harper is a knight). As Amelia put... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1330, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling... | {"split": "train", "index": 12442} |
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, Sophia, Alexander, Daniel, and Liam. Riley remarked, \"Daniel is an egoist\". \"(if Daniel is an egoist then Daniel is an altruist) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1331, \"statements\": [[\"lying\", 3], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 3], [\"telli... | {"split": "train", "index": 12443} |
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: James, Lily, Evelyn, Logan, and Aurora. \"(Aurora is an egoist) and (Lily is an altruist or Aurora is an egoist or Evelyn is an altruist) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1332, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 1], [\"telling-... | {"split": "train", "index": 12444} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Scarlett, Olivia, Grace, and Benjamin. According to Joseph, \"(Scarlett is a hero and Grace is a hero) and (if Joseph is a hero then Grace is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1333, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"lying\", 4], [\"not\", [\"not\", [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\"... | {"split": "train", "index": 12445} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emily, Abigail, Aurora, Benjamin, and Daniel. As Emily put it, \"(Aurora is a laggard) or (Aurora is a laggard if and only if Abigail is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1334, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [... | {"split": "train", "index": 12446} |
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: Daniel, Matthew, Elizabeth, Isabella, and Ava. Daniel asserted: \"if Elizabeth is a fool then (Isabella is a sage or Ava is a fool)\". \"Isabella is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1335, \"statements\": [[\"->\", [\"lying\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"telling-truth\", 3], [\"lying\", 0], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [... | {"split": "train", "index": 12447} |
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: Victoria, Oliver, Mia, Luke, and Abigail. According to Victoria, \"(Abigail is a sinner if and only if Abigail is a saint) or (Luke is a sinner) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1336, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 4], [\"tel... | {"split": "train", "index": 12448} |
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, Ethan, Elizabeth, Emma, and Michael. According to Mason, \"(Elizabeth is an egoist or Michael is an egoist or Ethan is an altruist) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1337, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-trut... | {"split": "train", "index": 12449} |
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: Evelyn, Alexander, Jackson, Ethan, and Amelia. In Evelyn's words: \"(if Jackson is an angel then Alexander is a devil) if and only if (if Alexander is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1338, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"or\", [\"not\", [\"lying\", 0]], [\... | {"split": "train", "index": 12450} |
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, Chloe, Emma, Emily, and Ethan. In a statement by Elizabeth: \"(Elizabeth is a pioneer or Emily is a laggard) and (Chloe is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1339, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 12451} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Penelope, James, Sebastian, and Jack. \"Sebastian is a saint,\" Abigail declared. In a statement by Penelope: \"(Penelope is a saint if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1340, \"statements\": [[\"not\", [\"lying\", 3]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 0]]], [\"lying\", 1], [\"<=>\", [\"or\", [\"lying\", 4... | {"split": "train", "index": 12452} |
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, Jackson, Michael, Scarlett, and Daniel. Lily remarked, \"if (Michael is an egoist if and only if Daniel is an altruist) then (if Jackson ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1341, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"tel... | {"split": "train", "index": 12453} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Grace, Noah, Zoey, and Charlotte. \"Zoey is a knave,\" Mason declared. In a statement by Grace: \"it is not the case that (if Noah is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1342, \"statements\": [[\"lying\", 3], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"lying... | {"split": "train", "index": 12454} |
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, Liam, Noah, Elizabeth, and Isabella. According to Oliver, \"Liam is a knave\". In Liam's words: \"if (Isabella is a knight) then (if Noah is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1343, \"statements\": [[\"lying\", 1], [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"->\... | {"split": "train", "index": 12455} |
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: Noah, Avery, Penelope, David, and Grace. Noah commented, \"Penelope is an egoist and (David is an egoist and David is an altruist and Grace is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1344, \"statements\": [[\"and\", [\"lying\", 2], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]], [\"and\", [\"telling-tr... | {"split": "train", "index": 12456} |
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, Jack, Jacob, Olivia, and Michael. Ethan told you that (Jacob is a villain if and only if Jack is a villain) or (if Michael is a villain then J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1345, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"lying\", 0], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lyin... | {"split": "train", "index": 12457} |
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, Ethan, Emily, Daniel, and Mia. Riley said, \"if (Mia is a devil or Emily is a devil or Mia is an angel or Ethan is a devil) then (Ethan is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1346, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"and\", [\... | {"split": "train", "index": 12458} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Samuel, William, Owen, Abigail, and Noah. As Samuel put it, \"if (William is a fool or Abigail is a fool or Abigail is a sage) then (Samuel is a sage or Ow... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1347, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 12459} |
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: Charlotte, Jack, Sofia, Avery, and David. \"(Jack is an egoist if and only if David is an altruist) if and only if (Avery is an altruist if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1348, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", ... | {"split": "train", "index": 12460} |
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, Oliver, Mason, Emma, and Aiden. Grace told you that (Oliver is a laggard and Grace is a pioneer and Oliver is a pioneer) and (if Emma is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1349, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\",... | {"split": "train", "index": 12461} |
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: David, Grace, Zoey, Mason, and Benjamin. David was heard saying, \"Benjamin is a fool\". In Grace's words: \"if (Benjamin is a sage) then (Zoey is a sage)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1350, \"statements\": [[\"lying\", 4], [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"ly... | {"split": "train", "index": 12462} |
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, Penelope, Amelia, Sebastian, and Logan. Riley noted, \"Penelope is an altruist\". Penelope was heard saying, \"Logan is an altruist\". A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1351, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 4], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"<=>\", [\"telli... | {"split": "train", "index": 12463} |
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, Zoey, Lily, Ella, and David. \"Lily is an egoist,\" Victoria claimed. Zoey remarked, \"(Lily is an egoist or David is an altruist or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1352, \"statements\": [[\"lying\", 2], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 0]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\"... | {"split": "train", "index": 12464} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Samuel, Sofia, James, David, and Sebastian. Samuel commented, \"if (James is a fool and Sofia is a fool and Samuel is a sage and James is a sage) then (Jam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1353, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\... | {"split": "train", "index": 12465} |
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, Isabella, Benjamin, Elizabeth, and Aurora. In Penelope's words: \"(Elizabeth is a pioneer) and (Aurora is a laggard if and only if El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1354, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"lyin... | {"split": "train", "index": 12466} |
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: Aurora, Zoey, Lucas, David, and Joseph. Aurora was heard saying, \"(Zoey is a knight or David is a knave or Joseph is a knight) or (Joseph is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1355, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"->\",... | {"split": "train", "index": 12467} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Matthew, Penelope, Abigail, Sebastian, and Scarlett. Matthew said that (Scarlett is a villain if and only if Penelope is a villain) if and only if Pe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1356, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"telling-truth\", 1]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"not\", [\"not\", [\"tellin... | {"split": "train", "index": 12468} |
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: James, Jackson, Amelia, Michael, and Liam. James asserted: \"Amelia is a knave or (Jackson is a knight if and only if Amelia is a knight)\". In a sta... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1357, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]... | {"split": "train", "index": 12469} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Mia, Evelyn, Isabella, and Noah. Joseph said, \"Mia is a hero.\" Mia told you that Evelyn is a villain. Evelyn noted, \"(Isabella is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1358, \"statements\": [[\"telling-truth\", 1], [\"lying\", 2], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\",... | {"split": "train", "index": 12470} |
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, Henry, Benjamin, Jack, and Zoey. Oliver said, \"(Benjamin is a knight or Benjamin is a knave or Henry is a knight or Oliver is a knight) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1359, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 1]... | {"split": "train", "index": 12471} |
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, Jack, Ella, William, and Owen. \"(Jack is a sage and William is a fool and Owen is a fool and Ella is a fool) if and only if (Jack is a fool and Ella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1360, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"lying\", 3], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth... | {"split": "train", "index": 12472} |
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, Amelia, Ethan, Emily, and Joseph. Zoey told you that if (if Zoey is a saint then Amelia is a saint) then (Emily is a saint or Ethan is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1361, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"... | {"split": "train", "index": 12473} |
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: Henry, Harper, Chloe, Owen, and Emma. \"Emma is a knave,\" Henry declared. \"(Emma is a knave or Owen is a knave) if and only if (if Harper is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1362, \"statements\": [[\"lying\", 4], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 0], [\"->\", [\"lying\", 1], [\"telling-truth\"... | {"split": "train", "index": 12474} |
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, Noah, Olivia, Ethan, and Mia. As Samuel put it, \"(Samuel is a pioneer or Ethan is a laggard or Noah is a pioneer or Noah is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1363, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"tellin... | {"split": "train", "index": 12475} |
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, Joseph, Avery, Henry, and Lily. In Ella's words: \"(if Lily is a sinner then Henry is a sinner) or (Ella is a saint or Avery is a sinner or Hen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1364, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], ... | {"split": "train", "index": 12476} |
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: Jackson, James, Riley, Luke, and Sofia. \"(Riley is a knight and James is a knight) and (Riley is a knave or Sofia is a knight)\" - Jackson. James sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1365, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"lying\", 0], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]... | {"split": "train", "index": 12477} |
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: Jackson, Noah, Zoey, Matthew, and Amelia. Jackson commented, \"if (Zoey is a knight) then Noah is a knight\". Noah noted, \"it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1366, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 1]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]... | {"split": "train", "index": 12478} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lucas, Ella, Charlotte, Harper, and William. Lucas asserted: \"Charlotte is a fool\". According to Ella, \"Harper is a sage\". Charlotte said that Charlott... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1367, \"statements\": [[\"lying\", 2], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\... | {"split": "train", "index": 12479} |
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: Logan, Scarlett, Noah, Evelyn, and Amelia. According to Logan, \"Scarlett is an egoist\". \"Noah is an egoist,\" Scarlett mentioned. \"(if Scar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1368, \"statements\": [[\"lying\", 1], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\",... | {"split": "train", "index": 12480} |
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, Mia, David, Logan, and Jacob. Lucas noted, \"David is a laggard if and only if (Logan is a laggard)\". As Mia put it, \"Lucas is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1369, \"statements\": [[\"<=>\", [\"lying\", 2], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 0]], [\"lying\", 3], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-tru... | {"split": "train", "index": 12481} |
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, Harper, Sofia, Henry, and William. Riley stated, \"(Henry is an altruist and William is an altruist and Riley is an altruist and Sofia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1370, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 4]]], [\"lying\", 4], [\"... | {"split": "train", "index": 12482} |
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, Sophia, William, Alexander, and Chloe. David commented, \"(David is an angel or Sophia is an angel or Chloe is a devil or Chloe is an angel) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1371, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 0], [\"or\", [\... | {"split": "train", "index": 12483} |
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: Sofia, Jack, Sophia, Ella, and Mason. Sofia commented, \"(Sophia is a laggard if and only if Sofia is a pioneer) or (Ella is a pioneer) or (Mas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1372, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"... | {"split": "train", "index": 12484} |
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: Benjamin, Lily, Harper, Elizabeth, and Evelyn. Benjamin remarked, \"if (Lily is a pioneer) then (Harper is a pioneer or Harper is a laggard or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1373, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"lyi... | {"split": "train", "index": 12485} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Chloe, Sophia, Jack, and Lucas. In a statement by Olivia: \"if Sophia is a saint then (Sophia is a sinner)\". Chloe noted, \"it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1374, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-tr... | {"split": "train", "index": 12486} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Scarlett, Jacob, Alexander, Abigail, and Mia. \"Alexander is a villain,\" Scarlett mentioned. \"Scarlett is a villain and (Alexander is a villain and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1375, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 0], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 0], [\"l... | {"split": "train", "index": 12487} |
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: Jacob, Jack, Chloe, Lucas, and Mason. Jacob remarked, \"(Jack is a sage or Chloe is a fool or Jack is a fool or Chloe is a sage) if and only if (Mason is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1376, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and... | {"split": "train", "index": 12488} |
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: Victoria, Henry, Olivia, William, and Avery. \"it is not the case that (Olivia is a saint or Avery is a sinner)\" - Victoria. \"(Avery is a sinner or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1377, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]]], ... | {"split": "train", "index": 12489} |
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, David, Olivia, Daniel, and Henry. \"(if David is a fool then Olivia is a sage) or Chloe is a sage or (Daniel is a fool if and only if Henry is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1378, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"telling-truth\"... | {"split": "train", "index": 12490} |
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: Victoria, Zoey, Scarlett, Harper, and Matthew. Victoria was heard saying, \"Harper is a villain if and only if Matthew is a villain\". As Zoey put it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1379, \"statements\": [[\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\... | {"split": "train", "index": 12491} |
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: Sofia, Ella, Grace, Riley, and Elizabeth. According to Sofia, \"(if Elizabeth is a knight then Ella is a knave) if and only if (Riley is a knight and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1380, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"tell... | {"split": "train", "index": 12492} |
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: Jack, Scarlett, Sofia, Penelope, and Alexander. In Jack's words: \"Alexander is a sinner or (Jack is a sinner) or (if Sofia is a saint then Penelope ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1381, \"statements\": [[\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 0], [\"and\", [\"lyi... | {"split": "train", "index": 12493} |
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, Liam, Mason, Noah, and David. In a statement by Zoey: \"if (Zoey is an angel or Liam is a devil) then (Zoey is an angel and Noah is a devil)\". L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1382, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4],... | {"split": "train", "index": 12494} |
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, Isabella, Michael, Emma, and Ella. \"it is not the case that (Emma is a devil),\" Lucas declared. Isabella told you that if (Michael is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1383, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 0]], [\"and\", [\"lying\", 0], [\"->\", [\"lying\", 0], [\"telling-truth\", 4... | {"split": "train", "index": 12495} |
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: William, Lucas, Samuel, Charlotte, and Benjamin. William was heard saying, \"Benjamin is an altruist or Lucas is an egoist or (Samuel is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1384, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"tellin... | {"split": "train", "index": 12496} |
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: Sebastian, Sophia, Penelope, Isabella, and Evelyn. Sebastian was heard saying, \"Evelyn is a devil\". Sophia commented, \"(Sophia is an angel and Isabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1385, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 4]], [\"lying\", 4]], [\"or\", [\"->\", [\"telling-truth\", 3], ... | {"split": "train", "index": 12497} |
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: Amelia, Zoey, Scarlett, Evelyn, and Jack. In Amelia's words: \"if Jack is a knight then (if Zoey is a knave then Jack is a knight)\". Zoey stated, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1386, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\",... | {"split": "train", "index": 12498} |
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, Liam, Charlotte, Avery, and Aria. In a statement by Jacob: \"Liam is an angel\". Liam remarked, \"(Jacob is an angel and Aria is an angel and Ch... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1387, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 0]]], [\"<=>\", ... | {"split": "train", "index": 12499} |
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