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 altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aurora, Victoria, Ella, Isabella, and Charlotte. As Aurora put it, \"Charlotte is an altruist\". As Victoria put it, \"(Isabella is an egoist o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 388, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 0]]], [\"and\", [\... | {"split": "train", "index": 11500} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aiden, Avery, David, Noah, and Logan. Aiden expressed that (David is an egoist or Avery is an egoist or Logan is an altruist) or (Avery is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 389, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"lying\", 4], [\"not\"... | {"split": "train", "index": 11501} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Grace, Mason, Ava, Victoria, and Sebastian. \"(Victoria is an angel and Sebastian is an angel and Ava is an angel) or (Ava is an angel) or (Sebastian i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 390, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 4]],... | {"split": "train", "index": 11502} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Evelyn, Daniel, Sophia, Aurora, and Jacob. According to Evelyn, \"if (Jacob is a pioneer if and only if Aurora is a laggard) then Sophia is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 391, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"and\", [\"lying\", 4], [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [... | {"split": "train", "index": 11503} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Olivia, Mason, Harper, Ethan, and Noah. According to Olivia, \"(Noah is a fool and Harper is a fool) or (Noah is a fool if and only if Ethan is a fool) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 392, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\... | {"split": "train", "index": 11504} |
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: Luke, Sophia, Emma, Charlotte, and Amelia. In Luke's words: \"Emma is a villain and (Charlotte is a hero and Luke is a hero and Emma is a hero and Am... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 393, \"statements\": [[\"and\", [\"lying\", 2], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 2]], [... | {"split": "train", "index": 11505} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sofia, Chloe, Penelope, Joseph, and Benjamin. \"(Penelope is a hero if and only if Chloe is a villain) or (Chloe is a villain) or (Benjamin is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 394, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]],... | {"split": "train", "index": 11506} |
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, Lily, Zoey, Emma, and Penelope. In a statement by Logan: \"Logan is a knight\". Lily stated, \"Logan is a knight\". As Zoey put it, \"(Lily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 395, \"statements\": [[\"telling-truth\", 0], [\"telling-truth\", 0], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 2], [... | {"split": "train", "index": 11507} |
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: Lily, Penelope, Joseph, Aurora, and Aria. Lily noted, \"(Joseph is a hero) and (if Joseph is a hero then Aurora is a hero)\". In Penelope's words: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 396, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"or\"... | {"split": "train", "index": 11508} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lily, Owen, Ethan, Michael, and Charlotte. Lily commented, \"Ethan is a pioneer\". \"if (Charlotte is a pioneer and Michael is a laggard) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 397, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth... | {"split": "train", "index": 11509} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Zoey, Victoria, Logan, Avery, and Jacob. Zoey remarked, \"if Logan is an egoist then (Logan is an egoist and Jacob is an egoist)\". Victoria st... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 398, \"statements\": [[\"->\", [\"lying\", 2], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"lying\", 4]], [\"lying\", 4], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telli... | {"split": "train", "index": 11510} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aria, Ava, Isabella, Benjamin, and Penelope. According to Aria, \"(Penelope is a devil if and only if Isabella is an angel) and (Penelope is a devil if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 399, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\... | {"split": "train", "index": 11511} |
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: Logan, Evelyn, Benjamin, Zoey, and Harper. Logan expressed that (Benjamin is a saint if and only if Zoey is a saint) if and only if (Logan is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 400, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2]... | {"split": "train", "index": 11512} |
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: Michael, Penelope, Abigail, Aiden, and Harper. Michael noted, \"(Harper is a hero) or (Harper is a villain)\". In Penelope's words: \"(Harper is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 401, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"or\", [\"lying\", ... | {"split": "train", "index": 11513} |
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, Mason, Riley, Jacob, and Liam. Penelope commented, \"(Mason is a saint and Mason is a sinner and Penelope is a saint) if and only if (Riley... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 402, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telli... | {"split": "train", "index": 11514} |
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: Sebastian, Joseph, Zoey, Aria, and Olivia. Sebastian said that it is not the case that (Joseph is a sinner or Zoey is a sinner or Aria is a saint). J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 403, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 11515} |
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: Lily, Ava, Harper, Zoey, and Noah. Lily was heard saying, \"(Ava is a hero and Harper is a villain and Harper is a hero) if and only if (Zoey is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 404, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 2], [... | {"split": "train", "index": 11516} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Michael, Abigail, Zoey, Penelope, and Ava. Michael said, \"(Penelope is a devil and Abigail is a devil and Michael is an angel) if and only if (Michael... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 405, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 11517} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Mason, Ava, Avery, Noah, and Emma. Mason said, \"Noah is a devil.\" Ava noted, \"Noah is a devil\". Avery said that if (Noah is an angel) then (if Ava ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 406, \"statements\": [[\"lying\", 3], [\"lying\", 3], [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"telling-trut... | {"split": "train", "index": 11518} |
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: Aria, Matthew, Sebastian, Mia, and Alexander. According to Aria, \"if (Aria is a sage or Sebastian is a sage or Sebastian is a fool) then (if Alexander is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 407, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\"... | {"split": "train", "index": 11519} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Oliver, Lucas, Mason, Sophia, and Scarlett. In a statement by Oliver: \"if (Lucas is an altruist) then (Mason is an egoist or Lucas is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 408, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\",... | {"split": "train", "index": 11520} |
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: Henry, Penelope, Luke, David, and Mia. Henry said, \"(if Penelope is a fool then David is a sage) or (David is a sage and Luke is a sage and Mia is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 409, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"te... | {"split": "train", "index": 11521} |
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, James, Aria, Aiden, and Avery. Victoria said, \"it is not the case that (if Victoria is a pioneer then Aiden is a laggard).\" James n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 410, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 3], [\"<=>\", [\"lying\", 4], [\"lying\... | {"split": "train", "index": 11522} |
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: David, Scarlett, Amelia, Owen, and Chloe. As David put it, \"(Scarlett is a laggard or Amelia is a pioneer) or Owen is a pioneer or (Amelia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 411, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 3], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]... | {"split": "train", "index": 11523} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Victoria, Sebastian, Chloe, Olivia, and Aiden. Victoria stated, \"(Chloe is a sage or Sebastian is a sage) if and only if (Chloe is a sage or Olivia is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 412, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\",... | {"split": "train", "index": 11524} |
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, Luke, Lucas, Joseph, and Jackson. Elizabeth told you that it is not the case that (Luke is a devil if and only if Jackson is an angel). Luke... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 413, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lyi... | {"split": "train", "index": 11525} |
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, Aiden, Lucas, Grace, and Noah. Aurora said, \"it is not the case that (Lucas is a devil or Grace is a devil or Aiden is an angel).\" \"(Noah is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 414, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [... | {"split": "train", "index": 11526} |
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: Olivia, Scarlett, Victoria, Emma, and Jack. In a statement by Olivia: \"(Jack is an altruist and Scarlett is an egoist and Emma is an egoist) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 415, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"... | {"split": "train", "index": 11527} |
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, Lucas, Olivia, Aiden, and Emma. \"if (Emma is an angel or Lucas is an angel) then Emma is a devil,\" Luke claimed. \"Luke is a devil,\" Lucas men... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 416, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 4]], [\"lying\", 0], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"or\"... | {"split": "train", "index": 11528} |
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, Charlotte, Jacob, Grace, and Owen. Penelope noted, \"(Owen is a pioneer and Jacob is a pioneer and Charlotte is a laggard) or (Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 417, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3]], [\"... | {"split": "train", "index": 11529} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Evelyn, Zoey, Sofia, Emily, and Aiden. \"(Evelyn is an altruist and Aiden is an altruist and Emily is an altruist and Zoey is an egoist) or (Zo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 418, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 11530} |
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: Aiden, Luke, Mia, Michael, and Avery. \"it is not the case that (if Avery is a sage then Luke is a fool)\" - Aiden. Luke expressed that (Luke is a sage or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 419, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\"... | {"split": "train", "index": 11531} |
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: Evelyn, Henry, Ella, Joseph, and Abigail. \"Abigail is a knave or (Joseph is a knight),\" Evelyn claimed. Henry asserted: \"(Evelyn is a knight) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 420, \"statements\": [[\"or\", [\"lying\", 4], [\"not\", [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1... | {"split": "train", "index": 11532} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Grace, Benjamin, Charlotte, Mia, and Luke. Grace told you that if (Charlotte is an angel if and only if Charlotte is a devil) then (Luke is a devil and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 421, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], ... | {"split": "train", "index": 11533} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Daniel, Charlotte, Emily, and Chloe. Emma commented, \"Chloe is an egoist or (if Emily is an egoist then Chloe is an egoist)\". Daniel co... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 422, \"statements\": [[\"or\", [\"lying\", 4], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying... | {"split": "train", "index": 11534} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ava, Jacob, Lucas, Elizabeth, and David. As Ava put it, \"(if Elizabeth is a villain then Elizabeth is a hero) and (Elizabeth is a hero and Lucas is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 423, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"lying\", 2... | {"split": "train", "index": 11535} |
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, Harper, Olivia, Luke, and Sofia. Alexander said, \"(Luke is a sinner or Sofia is a saint or Olivia is a sinner or Sofia is a sinner) or (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 424, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 0]]], [... | {"split": "train", "index": 11536} |
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, Aria, Emily, Lucas, and Emma. Victoria said, \"if Lucas is an altruist then (Emma is an altruist and Aria is an altruist and Lucas is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 425, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 0], ... | {"split": "train", "index": 11537} |
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, Logan, Riley, Avery, and Isabella. Sophia said that (Isabella is an egoist or Isabella is an altruist or Riley is an altruist) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 426, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"tell... | {"split": "train", "index": 11538} |
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, Logan, Michael, David, and Ethan. \"(Michael is an angel if and only if Michael is a devil) or (David is an angel and Ethan is a devil and Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 427, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"or\"... | {"split": "train", "index": 11539} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sofia, Emily, Sebastian, Isabella, and Owen. \"(Isabella is a hero and Sebastian is a villain and Sebastian is a hero) and (Sofia is a hero or Owen i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 428, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [... | {"split": "train", "index": 11540} |
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: Liam, Harper, Avery, Logan, and Grace. \"(Harper is a saint and Avery is a sinner and Avery is a saint) if and only if (Logan is a saint or Harper is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 429, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"not\", [\"telli... | {"split": "train", "index": 11541} |
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, James, Chloe, Abigail, and Michael. In a statement by Lily: \"(Michael is an altruist and Chloe is an altruist) or (Abigail is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 430, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]], [\"lying\", 4]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-tr... | {"split": "train", "index": 11542} |
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: Harper, Henry, Luke, Victoria, and Lucas. Harper said, \"it is not the case that (if Harper is a sage then Henry is a sage).\" Henry told you that (Harper ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 431, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-... | {"split": "train", "index": 11543} |
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: Ava, Victoria, Daniel, Emma, and Emily. \"it is not the case that (Ava is an altruist and Daniel is an altruist and Victoria is an altruist),\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 432, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 2... | {"split": "train", "index": 11544} |
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, Abigail, David, Aiden, and Avery. According to Samuel, \"(Samuel is a pioneer or Avery is a laggard or Abigail is a pioneer) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 433, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"or\", ... | {"split": "train", "index": 11545} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Owen, Jacob, Ava, Liam, and Aiden. \"(Jacob is a fool) or (Aiden is a fool) or (Ava is a fool if and only if Liam is a fool) or (Jacob is a fool or Ava is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 434, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 2]]],... | {"split": "train", "index": 11546} |
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: Harper, Isabella, Samuel, Emily, and Ava. In a statement by Harper: \"(Emily is a hero if and only if Emily is a villain) and (Samuel is a villain or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 435, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"or\", [\"<=>\"... | {"split": "train", "index": 11547} |
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, Henry, Avery, Daniel, and Ava. Matthew remarked, \"Daniel is a hero\". In Henry's words: \"if (Daniel is a villain or Matthew is a villain o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 436, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 3], [\"telling-tr... | {"split": "train", "index": 11548} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Riley, Emma, Avery, and Mia. \"(Avery is a knave and Emma is a knight) or (Emma is a knight if and only if Riley is a knight) or (Avery is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 437, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 3], [\"or\", [\"lying... | {"split": "train", "index": 11549} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Isabella, Sophia, Lucas, Evelyn, and David. \"Evelyn is an egoist and (Sophia is an altruist or Evelyn is an egoist),\" Isabella claimed. \"it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 438, \"statements\": [[\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"lying\", 4], [\"tell... | {"split": "train", "index": 11550} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sofia, Abigail, Olivia, Lily, and Alexander. Sofia asserted: \"(if Lily is an altruist then Lily is an egoist) or Alexander is an altruist\". \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 439, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"telling-truth\", 0], [\"->\", [\"telling-truth\... | {"split": "train", "index": 11551} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Liam, Emily, Abigail, and Olivia. Avery remarked, \"if (Liam is a knave and Liam is a knight and Abigail is a knave) then (Emily is a knight)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 440, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"no... | {"split": "train", "index": 11552} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aiden, Evelyn, Aria, Lily, and Olivia. \"Lily is a laggard and (Aria is a pioneer or Lily is a pioneer or Olivia is a pioneer or Evelyn is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 441, \"statements\": [[\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"t... | {"split": "train", "index": 11553} |
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: Daniel, Emily, Elizabeth, Owen, and Zoey. Daniel noted, \"it is not the case that (Zoey is an egoist)\". \"Elizabeth is an egoist and (Zoey is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 442, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"lying\", 4]], [\"not\", [\"not\", [\"lying\", 1]]], [\"and\", [\"an... | {"split": "train", "index": 11554} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sofia, Oliver, Mia, Mason, and Sophia. Sofia said, \"(Sofia is a hero and Sophia is a villain) if and only if (Mia is a hero if and only if Mason is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 443, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\... | {"split": "train", "index": 11555} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Olivia, Avery, Samuel, Ethan, and Aria. Olivia was heard saying, \"(Aria is a sage if and only if Aria is a fool) or (Samuel is a fool or Avery is a sage o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 444, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 2]], [\"and\", [\"lying... | {"split": "train", "index": 11556} |
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, Owen, William, Victoria, and Grace. \"it is not the case that (Owen is a knight and Grace is a knave),\" Jack claimed. Owen asserted: \"it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 445, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 1], [\"lyi... | {"split": "train", "index": 11557} |
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, Elizabeth, Mason, Michael, and Aiden. James was heard saying, \"Mason is a knave if and only if (Michael is a knight and Elizabeth is a knave ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 446, \"statements\": [[\"<=>\", [\"lying\", 2], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 1], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telli... | {"split": "train", "index": 11558} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Grace, Chloe, Daniel, Charlotte, and Joseph. Grace asserted: \"if (Joseph is a fool if and only if Daniel is a sage) then (Chloe is a sage if and only if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 447, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"telling-truth\", 3],... | {"split": "train", "index": 11559} |
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, Daniel, Harper, Isabella, and Emma. As William put it, \"it is not the case that (if Isabella is a devil then Isabella is an angel)\". Daniel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 448, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [... | {"split": "train", "index": 11560} |
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, Logan, Ella, Alexander, and William. In Amelia's words: \"(if William is a knave then William is a knight) or (Logan is a knight or Alexander... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 449, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 2]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"l... | {"split": "train", "index": 11561} |
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, Daniel, Harper, Olivia, and Ava. Jackson said, \"Ava is a saint.\" \"if (Olivia is a saint or Ava is a saint or Harper is a saint or Ava is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 450, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"telling-truth\", 0... | {"split": "train", "index": 11562} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: David, Luke, Lily, Aiden, and Charlotte. As David put it, \"Luke is an egoist\". Luke said that Luke is an altruist. Lily asserted: \"Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 451, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telli... | {"split": "train", "index": 11563} |
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, Lucas, Benjamin, Mason, and Owen. David commented, \"Lucas is an angel or (Lucas is a devil) or (Lucas is a devil if and only if Mason is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 452, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-tru... | {"split": "train", "index": 11564} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Scarlett, Luke, Sophia, Henry, and Elizabeth. Scarlett remarked, \"it is not the case that (if Luke is a fool then Sophia is a fool)\". In Luke's words: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 453, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"lying\", 4], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"tel... | {"split": "train", "index": 11565} |
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: Harper, Benjamin, Aria, Evelyn, and Riley. \"Riley is a fool\" - Harper. Benjamin said, \"if (Harper is a fool and Riley is a sage) then (Aria is a fool if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 454, \"statements\": [[\"lying\", 4], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"tellin... | {"split": "train", "index": 11566} |
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, Jacob, Liam, Harper, and Samuel. Abigail told you that Liam is an egoist. As Jacob put it, \"(Liam is an egoist) or (Liam is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 455, \"statements\": [[\"lying\", 2], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\"... | {"split": "train", "index": 11567} |
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: Chloe, Matthew, Aurora, Daniel, and Joseph. Chloe said, \"(Matthew is a laggard) if and only if (if Matthew is a pioneer then Chloe is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 456, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or... | {"split": "train", "index": 11568} |
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: Luke, Henry, Zoey, Lily, and Lucas. \"(if Henry is a villain then Lucas is a hero) or (Lily is a hero and Lily is a villain) or (Henry is a villain a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 457, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"<=>\"... | {"split": "train", "index": 11569} |
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, Sofia, Jackson, Joseph, and Ethan. \"(if Sofia is a fool then Ella is a sage) if and only if (Jackson is a sage and Joseph is a sage),\" Ella declare... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 458, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"te... | {"split": "train", "index": 11570} |
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, Victoria, Ava, Ella, and Liam. \"(Liam is a sage if and only if Victoria is a sage) or (Ella is a sage or Liam is a fool) or (Victoria is a fool if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 459, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling... | {"split": "train", "index": 11571} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mia, David, Noah, Jack, and Joseph. \"(Noah is a villain or Jack is a villain or Mia is a hero or David is a villain) if and only if (Noah is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 460, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling... | {"split": "train", "index": 11572} |
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: Abigail, William, Lily, Chloe, and Victoria. Abigail said that Victoria is a devil. \"(Lily is an angel if and only if Victoria is an angel) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 461, \"statements\": [[\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0], [\"lying\... | {"split": "train", "index": 11573} |
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, David, Abigail, Sophia, and Emma. \"Abigail is a hero\" - Grace. David said that (Grace is a hero and Abigail is a villain and Emma is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 462, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth... | {"split": "train", "index": 11574} |
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, Matthew, Evelyn, Aria, and Henry. \"Matthew is a sinner,\" Olivia claimed. Matthew noted, \"(Henry is a sinner and Evelyn is a saint and Aria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 463, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"te... | {"split": "train", "index": 11575} |
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, Harper, Aurora, and Isabella. Elizabeth noted, \"Elizabeth is an angel\". Ava remarked, \"if (if Harper is a devil then Elizabeth is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 464, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"lying\", 3], [\"<=>\", [\... | {"split": "train", "index": 11576} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Victoria, Noah, Charlotte, Jackson, and Ethan. Victoria expressed that if (Noah is a fool and Charlotte is a sage) then (Noah is a sage or Ethan is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 465, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"and\", [\"->\", [\"t... | {"split": "train", "index": 11577} |
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, Logan, Victoria, Owen, and Chloe. Scarlett told you that (if Chloe is an egoist then Owen is an egoist) and (Logan is an altruist and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 466, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"lying\", 2]], [\"lying\", 3], [\"or\"... | {"split": "train", "index": 11578} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ella, Sophia, Ava, Ethan, and Harper. According to Ella, \"Harper is an egoist\". Sophia said, \"(Ella is an egoist) and (Harper is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 467, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-... | {"split": "train", "index": 11579} |
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, Aria, Amelia, Avery, and Emily. In a statement by Liam: \"Emily is a villain\". Aria remarked, \"Avery is a hero\". \"Amelia is a hero,\" Ameli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 468, \"statements\": [[\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"... | {"split": "train", "index": 11580} |
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, Owen, Joseph, Olivia, and Abigail. Emma noted, \"(Joseph is a pioneer and Abigail is a laggard) and Owen is a laggard and (Emma is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 469, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"lying\", 1], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lyi... | {"split": "train", "index": 11581} |
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: Ella, Amelia, Evelyn, Zoey, and Michael. Ella noted, \"(Zoey is a devil or Michael is a devil or Amelia is a devil) and (Zoey is an angel) and (Amelia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 470, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 1], [\"->\", [\"telling-tr... | {"split": "train", "index": 11582} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ethan, Riley, Samuel, Olivia, and Logan. Ethan asserted: \"(Riley is an egoist) or (if Samuel is an altruist then Logan is an altruist) or (Ril... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 471, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]], [\"not\... | {"split": "train", "index": 11583} |
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, Jack, Scarlett, Jacob, and Aiden. \"if (Jacob is an angel and Scarlett is a devil and Jack is an angel and Aiden is an angel) then (if Jack is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 472, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"tellin... | {"split": "train", "index": 11584} |
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, William, Matthew, Amelia, and Olivia. David said, \"David is an angel.\" William said, \"if (William is an angel and David is a devil) then (Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 473, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 4], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"tell... | {"split": "train", "index": 11585} |
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: Sophia, Lily, Emma, Lucas, and Owen. \"Lily is a knight,\" Sophia claimed. Lily stated, \"it is not the case that (Sophia is a knight and Emma is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 474, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"lying\", 3], [\"or\", [\"lying\", 0], [\"or\", [\"lying\", 0], [\"lying\", 1], [\"lying\", 2]], [\"and\", [... | {"split": "train", "index": 11586} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Logan, Amelia, Henry, Alexander, and Joseph. According to Logan, \"Henry is a devil and (Amelia is a devil and Amelia is an angel and Joseph is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 475, \"statements\": [[\"and\", [\"lying\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"lying\", 2], [\"tellin... | {"split": "train", "index": 11587} |
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: Joseph, Sofia, Olivia, Logan, and Isabella. \"Isabella is an egoist,\" Joseph claimed. Sofia said that (Logan is an egoist) if and only if (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 476, \"statements\": [[\"lying\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth... | {"split": "train", "index": 11588} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Benjamin, Lucas, Alexander, Grace, and Elizabeth. \"(if Lucas is an angel then Lucas is a devil) or Elizabeth is an angel\" - Benjamin. \"(Alexander is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 477, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\... | {"split": "train", "index": 11589} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Elizabeth, Mia, Aurora, Emily, and Abigail. \"(if Emily is a saint then Emily is a sinner) and Emily is a sinner and (Aurora is a saint or Abigail is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 478, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"lying\", 3], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"te... | {"split": "train", "index": 11590} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Scarlett, Amelia, Matthew, Evelyn, and Mia. In a statement by Scarlett: \"(Mia is a fool if and only if Evelyn is a fool) or (Amelia is a fool or Matthew i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 479, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 0]], [\"and\", [\"or\", [\"lying\", 3],... | {"split": "train", "index": 11591} |
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: Ava, Olivia, Emma, Elizabeth, and Emily. \"(Emily is a devil if and only if Emily is an angel) if and only if (Emily is a devil),\" Ava mentioned. Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 480, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 0], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], ... | {"split": "train", "index": 11592} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Olivia, Harper, Grace, Ethan, and Henry. In Olivia's words: \"Harper is a villain\". \"(Ethan is a villain if and only if Grace is a hero) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 481, \"statements\": [[\"lying\", 1], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3], [\"lying\", 0]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"not... | {"split": "train", "index": 11593} |
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, Harper, Ava, Isabella, and Michael. \"Michael is a saint and (Harper is a saint if and only if Michael is a sinner) and Ava is a saint,\" Noah ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 482, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 2]], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 2... | {"split": "train", "index": 11594} |
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, Logan, Sebastian, Owen, and Ella. Scarlett expressed that it is not the case that (if Ella is a knave then Logan is a knight). Logan expres... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 483, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"te... | {"split": "train", "index": 11595} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Alexander, David, Olivia, Logan, and Luke. Alexander said, \"Olivia is a pioneer.\" According to David, \"(Alexander is a pioneer if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 484, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth... | {"split": "train", "index": 11596} |
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, Liam, Emma, Olivia, and Evelyn. David noted, \"it is not the case that (Evelyn is a sinner)\". Liam was heard saying, \"Emma is a sinner if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 485, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 3], [\"lying\", ... | {"split": "train", "index": 11597} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sofia, Henry, Emily, Matthew, and Penelope. As Sofia put it, \"(Matthew is an angel or Penelope is an angel or Emily is an angel) if and only if (Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 486, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"tell... | {"split": "train", "index": 11598} |
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, Amelia, Charlotte, Emily, and Liam. Zoey noted, \"(Amelia is an angel or Charlotte is a devil or Zoey is an angel or Emily is an angel) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 487, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 2]... | {"split": "train", "index": 11599} |
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