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 saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Joseph, Ella, Penelope, and Charlotte. Jack said that (Ella is a sinner or Penelope is a saint or Jack is a saint) or Ella is a sinner or (if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2210, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"lying\", 2], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\"... | {"split": "train", "index": 11100} |
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, Jack, James, Aiden, and Penelope. As Daniel put it, \"if (Jack is an egoist and Penelope is an egoist and James is an altruist) then (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2211, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"lyi... | {"split": "train", "index": 11101} |
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, Sebastian, Emma, Chloe, and James. Elizabeth was heard saying, \"Chloe is a pioneer\". Sebastian said, \"Chloe is a pioneer and Emma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2212, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"lying\", 0], [\"->\", [\"and\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 11102} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mia, Chloe, Alexander, Luke, and Jackson. Mia said, \"(Luke is a pioneer or Jackson is a laggard) and (Luke is a laggard and Jackson is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2213, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"telling-truth\", 3], [\"->\", [\"tel... | {"split": "train", "index": 11103} |
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: Ella, Henry, Aiden, Scarlett, and Emma. Ella asserted: \"(Aiden is a laggard if and only if Aiden is a pioneer) or (if Scarlett is a pioneer th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2214, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"... | {"split": "train", "index": 11104} |
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, Elizabeth, Jack, Charlotte, and Ava. \"(if Elizabeth is a pioneer then Elizabeth is a laggard) if and only if (Charlotte is a pioneer if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2215, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-tr... | {"split": "train", "index": 11105} |
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: Matthew, Amelia, Oliver, Owen, and Isabella. Matthew was heard saying, \"Oliver is an egoist\". \"if (Oliver is an altruist and Matthew is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2216, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 0]]], [\"or\", ... | {"split": "train", "index": 11106} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Zoey, Olivia, Chloe, Luke, and Michael. Zoey expressed that if (Luke is a fool or Chloe is a fool or Olivia is a fool) then (Olivia is a fool or Zoey is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2217, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"tel... | {"split": "train", "index": 11107} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Mia, Lucas, Abigail, Ethan, and Noah. Mia noted, \"it is not the case that (Abigail is a devil and Lucas is an angel and Lucas is a devil)\". Lucas ass... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2218, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\... | {"split": "train", "index": 11108} |
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, Sebastian, Harper, Henry, and Noah. As Abigail put it, \"(Harper is an altruist) and (Harper is an altruist and Henry is an egoist) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2219, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"t... | {"split": "train", "index": 11109} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Logan, Joseph, Aurora, Oliver, and Abigail. As Logan put it, \"Abigail is a laggard\". Joseph said, \"it is not the case that (Aurora is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2220, \"statements\": [[\"lying\", 4], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 1], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"not\", [\"lying\", 3]]], [\"or\", [\"<=>\", [\"... | {"split": "train", "index": 11110} |
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, Abigail, Noah, William, and Samuel. \"if (Avery is a hero and Samuel is a villain and Samuel is a hero) then Samuel is a villain,\" Avery clai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2221, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 1],... | {"split": "train", "index": 11111} |
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: Ella, David, Lucas, Logan, and William. As Ella put it, \"(David is a villain or David is a hero) or (David is a villain or Lucas is a hero or Willia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 0, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"l... | {"split": "train", "index": 11112} |
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: Owen, Oliver, Lucas, Sophia, and Chloe. Owen said, \"(Oliver is a hero and Chloe is a villain and Oliver is a villain) or (if Oliver is a hero then S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 3], [\"n... | {"split": "train", "index": 11113} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Henry, Scarlett, Jacob, Emma, and Sebastian. As Henry put it, \"if (Scarlett is a laggard and Emma is a laggard and Henry is a pioneer) then (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"tell... | {"split": "train", "index": 11114} |
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, Samuel, Ava, Abigail, and Michael. As Zoey put it, \"Ava is an angel\". Samuel stated, \"(Ava is a devil or Michael is an angel or Zoey is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 3, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\... | {"split": "train", "index": 11115} |
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, Sofia, Daniel, William, and Abigail. Aria asserted: \"it is not the case that (William is an egoist)\". Sofia remarked, \"Daniel is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 4, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 2], [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]... | {"split": "train", "index": 11116} |
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: Alexander, Lily, Avery, David, and Penelope. \"(David is an egoist or Avery is an altruist) and (if David is an egoist then Lily is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 5, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\... | {"split": "train", "index": 11117} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Evelyn, Michael, Samuel, and Zoey. Chloe was heard saying, \"(if Samuel is a knave then Zoey is a knave) and (if Samuel is a knight then Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 6, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\... | {"split": "train", "index": 11118} |
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, Zoey, James, Evelyn, and Mason. In Elizabeth's words: \"(if Zoey is a devil then James is a devil) and James is a devil\". Zoey asserted: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 7, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"lying\", 2]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 3]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], ... | {"split": "train", "index": 11119} |
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: Emma, Ethan, Aurora, Sophia, and Jacob. As Emma put it, \"it is not the case that (Jacob is an angel or Ethan is an angel or Ethan is a devil or Aurora... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 8, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 11120} |
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, David, Isabella, Noah, and Emma. Ava stated, \"(Emma is a devil or Emma is an angel or Noah is an angel or Isabella is an angel) if and only if (N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 9, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\",... | {"split": "train", "index": 11121} |
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, Aurora, William, Sophia, and Liam. In a statement by Matthew: \"(Sophia is a pioneer and William is a laggard and Sophia is a laggard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 10, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-t... | {"split": "train", "index": 11122} |
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: James, Henry, William, Chloe, and Jack. In James's words: \"(Henry is a laggard and William is a laggard and Chloe is a pioneer) or (James is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 11, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"not\", [... | {"split": "train", "index": 11123} |
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, Owen, Abigail, Joseph, and Noah. \"if (Owen is a fool) then Owen is a fool\" - Harper. \"(Harper is a sage or Noah is a fool) or (Noah is a fool or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 12, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 1]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 0], [\"->\", ... | {"split": "train", "index": 11124} |
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, Olivia, Emma, Aiden, and Jackson. Evelyn told you that (if Emma is a knight then Olivia is a knave) or (Olivia is a knave if and only if Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 13, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth... | {"split": "train", "index": 11125} |
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, Ella, Benjamin, Sofia, and Grace. \"Sofia is a hero,\" Victoria claimed. Ella told you that Grace is a villain or (Benjamin is a villain or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 14, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\"... | {"split": "train", "index": 11126} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mia, Liam, Benjamin, Mason, and Charlotte. \"Benjamin is an altruist and (if Mason is an egoist then Charlotte is an egoist) and (Liam is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 15, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 4], [\... | {"split": "train", "index": 11127} |
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, Joseph, Matthew, Grace, and Sebastian. Aiden told you that Aiden is a pioneer or (if Sebastian is a pioneer then Joseph is a pioneer). \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 16, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"telling-tru... | {"split": "train", "index": 11128} |
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: Riley, Oliver, Olivia, Benjamin, and Harper. Riley was heard saying, \"it is not the case that (Riley is a hero and Benjamin is a villain and Harper ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 17, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\"... | {"split": "train", "index": 11129} |
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, Lily, Olivia, Alexander, and Aria. \"(Aria is an egoist and Lily is an altruist) if and only if (Lily is an egoist or Alexander is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 18, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"or\", [\"tellin... | {"split": "train", "index": 11130} |
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, Aria, Riley, Mason, and Sebastian. Alexander remarked, \"if (if Sebastian is a sinner then Alexander is a saint) then (Riley is a sinner i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 19, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying... | {"split": "train", "index": 11131} |
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: Riley, Owen, Luke, Chloe, and Mia. In Riley's words: \"if (Luke is a knight and Mia is a knave) then (if Chloe is a knight then Owen is a knight)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 20, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 0]], ... | {"split": "train", "index": 11132} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Olivia, Zoey, Lucas, and Ava. \"(Ava is a knight) or (Lucas is a knight and Olivia is a knight and Ava is a knave and Ava is a knight) or (Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 21, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [... | {"split": "train", "index": 11133} |
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, Oliver, Victoria, David, and Michael. Ava told you that it is not the case that (Oliver is a saint). Oliver noted, \"(if Ava is a sinner then Vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 22, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", ... | {"split": "train", "index": 11134} |
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, Aria, Avery, Amelia, and Abigail. Michael said that (if Avery is a devil then Amelia is a devil) and (Amelia is an angel) and Abigail is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 23, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 3]], [\"lying\", 4], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"or\", [\... | {"split": "train", "index": 11135} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Luke, Penelope, Amelia, Grace, and Evelyn. Luke noted, \"(Grace is an altruist) and (Amelia is an egoist or Grace is an egoist) and (Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 24, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4... | {"split": "train", "index": 11136} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Logan, Amelia, Emily, Sophia, and Ava. Logan noted, \"Emily is a hero\". As Amelia put it, \"if (Amelia is a villain) then (Ava is a villain if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 25, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 4], [\"lying\"... | {"split": "train", "index": 11137} |
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: Liam, Aiden, Ethan, Amelia, and Samuel. \"Samuel is a sage\" - Liam. Aiden stated, \"if Liam is a fool then (Samuel is a sage or Liam is a fool or Amelia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 26, \"statements\": [[\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 4], [\"lyi... | {"split": "train", "index": 11138} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Owen, Matthew, Abigail, Aria, and Henry. Owen noted, \"it is not the case that (Abigail is an angel if and only if Abigail is a devil)\". \"(Aria is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 27, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 1]], [\"or\", [\"telling-truth\"... | {"split": "train", "index": 11139} |
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: Jack, Ella, William, James, and Noah. Jack said that it is not the case that (Jack is a pioneer or James is a pioneer or Noah is a laggard or J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 28, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], ... | {"split": "train", "index": 11140} |
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: Luke, Emily, Daniel, Chloe, and Avery. In a statement by Luke: \"Chloe is a knight or (Emily is a knave)\". \"Daniel is a knave if and only if (Danie... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 29, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"lying\", 3]]], [\"and\", [\"->\", [\"lying\", 1], [\"lyin... | {"split": "train", "index": 11141} |
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: Penelope, Ella, Avery, Henry, and Daniel. According to Penelope, \"if Henry is a hero then (Daniel is a hero or Penelope is a hero)\". Ella stated, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 30, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], ... | {"split": "train", "index": 11142} |
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, Olivia, Logan, Mia, and David. In a statement by Victoria: \"if (Victoria is an altruist if and only if Logan is an egoist) then Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 31, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"->\", [\"lying\",... | {"split": "train", "index": 11143} |
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: Harper, Jack, Mason, Aurora, and Aiden. Harper told you that (Aurora is an altruist and Harper is an altruist) or (if Mason is an altruist then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 32, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telli... | {"split": "train", "index": 11144} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Penelope, Charlotte, Harper, Victoria, and Oliver. Penelope stated, \"(Oliver is an egoist and Charlotte is an altruist and Oliver is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 33, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 4], [\"not... | {"split": "train", "index": 11145} |
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: Jack, Ava, Avery, Mason, and Harper. According to Jack, \"it is not the case that (Ava is a laggard if and only if Avery is a laggard)\". \"(Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 34, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 3], [\"or\", [\"... | {"split": "train", "index": 11146} |
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, Avery, Emily, Liam, and Emma. Matthew asserted: \"if (Liam is a pioneer) then (Matthew is a pioneer and Emma is a pioneer and Avery is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 35, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"lying\", 3]], [\"telling-truth\", 1],... | {"split": "train", "index": 11147} |
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, Logan, Scarlett, Amelia, and Emma. \"(Scarlett is an egoist if and only if Amelia is an egoist) if and only if (Logan is an egoist or Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 36, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 3], [\"or\", [\"lying\", 0], [\"telling-truth\"... | {"split": "train", "index": 11148} |
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, Jacob, Michael, Jackson, and David. Daniel commented, \"Jacob is an egoist\". \"David is an egoist if and only if Jackson is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 37, \"statements\": [[\"lying\", 1], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 3]]], \"s... | {"split": "train", "index": 11149} |
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, Penelope, Lucas, William, and Luke. As Evelyn put it, \"if Penelope is a fool then (Lucas is a sage or Evelyn is a sage or Penelope is a fool)\". \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 38, \"statements\": [[\"->\", [\"lying\", 1], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-... | {"split": "train", "index": 11150} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Alexander, Aurora, Ava, Matthew, and Liam. \"(Matthew is an angel or Aurora is an angel) or (Ava is a devil and Liam is a devil and Ava is an angel) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 39, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"->\",... | {"split": "train", "index": 11151} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sofia, Daniel, Victoria, Aurora, and Noah. Sofia said that (Noah is a sinner and Daniel is a saint) and Noah is a saint and (Noah is a saint) and (Vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 40, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 4], [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"or\",... | {"split": "train", "index": 11152} |
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: James, Jackson, Mason, Alexander, and Elizabeth. James said that (Mason is a villain or Mason is a hero or Jackson is a hero or Elizabeth is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 41, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 3]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"telling... | {"split": "train", "index": 11153} |
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, Daniel, Alexander, Scarlett, and Jackson. Oliver was heard saying, \"(Oliver is an angel and Daniel is an angel) if and only if (Daniel is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 42, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 2]]], [\"lying\", 0], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"telli... | {"split": "train", "index": 11154} |
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, Sebastian, Owen, Riley, and Jacob. Lily expressed that Lily is a hero and (Sebastian is a villain and Owen is a hero). Sebastian remarked, \"Ow... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 43, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-trut... | {"split": "train", "index": 11155} |
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, Liam, Jackson, Penelope, and Isabella. Sophia stated, \"if (Isabella is a knight if and only if Liam is a knight) then Penelope is a knight\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 44, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"telling-truth\... | {"split": "train", "index": 11156} |
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, Amelia, William, Aria, and Noah. Lucas was heard saying, \"(William is a laggard if and only if Aria is a pioneer) and (Aria is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 45, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]... | {"split": "train", "index": 11157} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Benjamin, Mason, Charlotte, Ethan, and Sophia. \"it is not the case that (Ethan is an altruist and Benjamin is an altruist),\" Benjamin mention... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 46, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 0]... | {"split": "train", "index": 11158} |
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: Penelope, Lily, Sofia, Evelyn, and Noah. As Penelope put it, \"it is not the case that (Evelyn is a knave or Sofia is a knave or Noah is a knave)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 47, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"t... | {"split": "train", "index": 11159} |
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, Aurora, Mason, Elizabeth, and Riley. \"it is not the case that (Riley is a knave or James is a knight or Riley is a knight)\" - James. Aurora ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 48, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", ... | {"split": "train", "index": 11160} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jackson, Joseph, Liam, Owen, and Elizabeth. Jackson asserted: \"Liam is a hero and (Liam is a hero and Elizabeth is a hero) and (Joseph is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 49, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"lying\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 3], [... | {"split": "train", "index": 11161} |
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, Samuel, Scarlett, Jackson, and Lily. \"(if Scarlett is an angel then Riley is an angel) and (if Jackson is an angel then Samuel is a devil) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 50, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\"... | {"split": "train", "index": 11162} |
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, Sofia, Grace, Lily, and Evelyn. \"it is not the case that (Lily is a knave if and only if Lily is a knight),\" Logan claimed. Sofia said that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 51, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 3], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"tel... | {"split": "train", "index": 11163} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Victoria, Logan, Alexander, Amelia, and Emma. \"(Emma is an angel if and only if Alexander is an angel) and Logan is an angel,\" Victoria mentioned. Lo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 52, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth... | {"split": "train", "index": 11164} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jackson, Victoria, Scarlett, Sofia, and Isabella. \"(if Scarlett is an altruist then Isabella is an altruist) or (Sofia is an egoist or Victori... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 53, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"lying\", ... | {"split": "train", "index": 11165} |
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: Alexander, Noah, Matthew, William, and Sophia. Alexander said, \"(Sophia is a knight) or (Matthew is a knave and William is a knight).\" Noah stated,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 54, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"tel... | {"split": "train", "index": 11166} |
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, Charlotte, Benjamin, Alexander, and Riley. Logan said that Charlotte is a sinner and (if Benjamin is a sinner then Benjamin is a saint). Charl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 55, \"statements\": [[\"and\", [\"lying\", 1], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"telling-truth\", 2], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 2]], [\"<... | {"split": "train", "index": 11167} |
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: Michael, Henry, Mia, Ethan, and Penelope. Michael expressed that (if Michael is a knight then Henry is a knight) if and only if (Ethan is a knave or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 56, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"... | {"split": "train", "index": 11168} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Henry, Luke, Joseph, Emily, and Mason. Henry expressed that if (Henry is an angel if and only if Luke is a devil) then (Mason is a devil if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 57, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 4], [\"lying\", 3]], [\... | {"split": "train", "index": 11169} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lucas, Jackson, Noah, Amelia, and Jack. \"Noah is an altruist,\" Lucas mentioned. Jackson stated, \"(Jackson is an egoist) and (Lucas is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 58, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"->\", [\"lying\", 3], [\"tellin... | {"split": "train", "index": 11170} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ethan, Riley, Alexander, Liam, and Noah. Ethan told you that if (if Alexander is a fool then Noah is a fool) then (Riley is a fool). As Riley put it, \"(Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 59, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\"... | {"split": "train", "index": 11171} |
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, William, Ella, Liam, and Zoey. In a statement by Avery: \"(Zoey is a knight or Zoey is a knave or Liam is a knight) if and only if Liam is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 60, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3]], [\"lying\", 3]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 1]]], [\... | {"split": "train", "index": 11172} |
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: James, Oliver, Logan, Aiden, and Luke. \"Luke is a laggard,\" James declared. Oliver told you that it is not the case that (Oliver is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 61, \"statements\": [[\"lying\", 4], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 0], [\"->\", [\"lying\", 0], [\"and\", [\"telling-truth\", 4], [\"ly... | {"split": "train", "index": 11173} |
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, Henry, Amelia, Jacob, and Liam. \"Liam is a hero,\" Evelyn claimed. \"it is not the case that (Liam is a hero and Evelyn is a villain and Lia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 62, \"statements\": [[\"not\", [\"lying\", 4]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"te... | {"split": "train", "index": 11174} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Harper, Matthew, Jacob, Sophia, and Michael. \"(Harper is a laggard) and Michael is a pioneer,\" Harper mentioned. Matthew expressed that if (M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 63, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 0], [\"lying\", 4]]], [\"<=>\", [\"->\"... | {"split": "train", "index": 11175} |
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, Jacob, Daniel, Ava, and Samuel. \"(Daniel is a knave and Daniel is a knight and Jacob is a knave and Evelyn is a knight) or (Daniel is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 64, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"te... | {"split": "train", "index": 11176} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emily, Jacob, Benjamin, Lucas, and Aiden. In a statement by Emily: \"(if Lucas is a sage then Emily is a sage) and (Jacob is a fool and Benjamin is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 65, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling... | {"split": "train", "index": 11177} |
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: Charlotte, Lily, James, Avery, and Lucas. In Charlotte's words: \"Lucas is a fool\". Lily stated, \"(James is a fool or Lucas is a sage or Charlotte is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 66, \"statements\": [[\"lying\", 4], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 0], [\"... | {"split": "train", "index": 11178} |
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: Penelope, Emily, Elizabeth, Zoey, and Sebastian. According to Penelope, \"Elizabeth is a fool\". Emily expressed that Zoey is a sage. Elizabeth said that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 67, \"statements\": [[\"lying\", 2], [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\"... | {"split": "train", "index": 11179} |
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, William, Victoria, Lily, and Lucas. \"it is not the case that (if Victoria is a hero then Lily is a hero),\" Grace mentioned. William expresse... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 68, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\... | {"split": "train", "index": 11180} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emma, Amelia, Samuel, Riley, and Aiden. Emma remarked, \"if (Aiden is a sinner if and only if Amelia is a saint) then (Amelia is a saint or Samuel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 69, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"lying\", 2], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3], [\"... | {"split": "train", "index": 11181} |
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, Elizabeth, Joseph, Ava, and Abigail. Grace noted, \"(Grace is a hero or Abigail is a villain or Joseph is a hero or Elizabeth is a villain) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 70, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 1]], [\"lying\", 1], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"n... | {"split": "train", "index": 11182} |
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, Grace, Henry, Mason, and Ava. \"(Ava is a fool and Henry is a fool and Ava is a sage and Grace is a sage) if and only if (Ava is a fool or Grace is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 71, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 0]]],... | {"split": "train", "index": 11183} |
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, Isabella, Scarlett, Lucas, and Penelope. Logan remarked, \"it is not the case that (Lucas is a devil or Isabella is a devil)\". Isabella was hea... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 72, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"ly... | {"split": "train", "index": 11184} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Harper, Sebastian, Matthew, Penelope, and Sofia. Harper was heard saying, \"(Sebastian is a pioneer or Sofia is a pioneer) if and only if (Harp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 73, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\... | {"split": "train", "index": 11185} |
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, Liam, Samuel, Emma, and Isabella. \"it is not the case that (Liam is a knave and Sofia is a knight),\" Sofia mentioned. \"Sofia is a knave or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 74, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 0], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 3], [\... | {"split": "train", "index": 11186} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Charlotte, Mia, Luke, Joseph, and Ava. Charlotte was heard saying, \"Joseph is a laggard\". Mia was heard saying, \"(if Ava is a pioneer then A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 75, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-tru... | {"split": "train", "index": 11187} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Amelia, Harper, Liam, Mason, and Isabella. \"Mason is a saint,\" Amelia claimed. According to Harper, \"if (if Amelia is a sinner then Amelia is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 76, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"or\", [\"lying\", 4], [\"not\", [\"l... | {"split": "train", "index": 11188} |
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: Isabella, William, Chloe, Owen, and Daniel. Isabella said that it is not the case that (William is a devil if and only if Chloe is an angel). William s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 77, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"or\", [\"telling-truth\", 3], [\"lying\", 4],... | {"split": "train", "index": 11189} |
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: James, Riley, Mia, Isabella, and Evelyn. James expressed that (James is a pioneer or Riley is a pioneer) and Isabella is a laggard and (Mia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 78, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"lying\", 3], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"tel... | {"split": "train", "index": 11190} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Charlotte, Oliver, Evelyn, Ella, and Grace. Charlotte was heard saying, \"if Grace is a laggard then (Ella is a pioneer if and only if Grace is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 79, \"statements\": [[\"->\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 11191} |
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, Benjamin, Olivia, Emma, and Mason. Alexander asserted: \"(Benjamin is a laggard and Mason is a laggard and Mason is a pioneer) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 80, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"telling-... | {"split": "train", "index": 11192} |
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, Logan, Oliver, Matthew, and Olivia. James noted, \"if (Matthew is a knave and Oliver is a knave) then (Olivia is a knave or Logan is a knave)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 81, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"lying\", 4], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 3]], [\"lying\",... | {"split": "train", "index": 11193} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mason, Scarlett, Daniel, Charlotte, and Chloe. Mason noted, \"(if Daniel is a saint then Charlotte is a saint) if and only if (Chloe is a sinner if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 82, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-trut... | {"split": "train", "index": 11194} |
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: Avery, William, Benjamin, Evelyn, and Liam. As Avery put it, \"it is not the case that (if Benjamin is a sage then William is a fool)\". \"(Liam is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 83, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"lying\", 0], [\"not\... | {"split": "train", "index": 11195} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Michael, Aiden, Jack, Liam, and Sofia. Michael was heard saying, \"(Sofia is a laggard and Sofia is a pioneer and Liam is a pioneer and Aiden i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 84, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\... | {"split": "train", "index": 11196} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mason, Charlotte, Jacob, Matthew, and Harper. \"Charlotte is a villain,\" Mason claimed. Charlotte expressed that Harper is a villain. \"Charlotte is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 85, \"statements\": [[\"lying\", 1], [\"lying\", 4], [\"lying\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"lying\", 1]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-... | {"split": "train", "index": 11197} |
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, Benjamin, Harper, Grace, and Jack. \"Jack is an altruist,\" Logan declared. Benjamin told you that if (Harper is an altruist or Jack is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 86, \"statements\": [[\"not\", [\"lying\", 4]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 0]]], [\"or\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 11198} |
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: Lily, Amelia, Avery, Emily, and James. Lily was heard saying, \"(if Avery is a fool then Emily is a fool) or (Emily is a fool and James is a fool)\". \"(Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 87, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"ly... | {"split": "train", "index": 11199} |
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