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 heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Jackson, Sofia, Ava, and Sebastian. Alexander told you that ((Jackson is a hero or Ava is a villain) or (if Sofia is a villain then Jackso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 66, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telli... | {"split": "train", "index": 13400} |
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, Owen, Jacob, Grace, and David. In a statement by Sofia: \"((if David is a knight then Grace is a knave) if and only if (Grace is a knight)) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 67, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 13401} |
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: Owen, Sofia, Zoey, Sophia, and Luke. In Owen's words: \"((Sophia is a pioneer if and only if Zoey is a laggard) or (Sofia is a laggard)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 68, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"->\", [\"and\", [\"<=>\", [\"lying\", 0], ... | {"split": "train", "index": 13402} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Amelia, William, Riley, Aria, and Avery. Amelia said, \"(it is not the case that (if William is a pioneer then Riley is a pioneer)) or ((Amelia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 69, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"not\", [\"->\... | {"split": "train", "index": 13403} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Charlotte, Benjamin, Jacob, Ava, and Amelia. \"if ((Jacob is a devil or Jacob is an angel) and (Benjamin is an angel if and only if Jacob is a devil)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 70, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"not\", [\"a... | {"split": "train", "index": 13404} |
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, Sofia, Matthew, Daniel, and Isabella. In a statement by Owen: \"(Isabella is a hero or (Daniel is a hero)) or (it is not the case that (if Matt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 71, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"not\", [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"not\", [\"or\", [\"not\", [\"lying\", 3]], [\"not\", [\"tellin... | {"split": "train", "index": 13405} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sophia, Ethan, Sofia, Olivia, and William. \"it is not the case that (Sophia is a sage and Ethan is a fool),\" Sophia declared. In a statement by Ethan: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 72, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"telling-truth\", 1], [\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"<... | {"split": "train", "index": 13406} |
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: Grace, Victoria, Liam, Avery, and Aurora. In a statement by Grace: \"((if Grace is a saint then Victoria is a sinner) and Grace is a saint) or ((Vict... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 73, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 0]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth... | {"split": "train", "index": 13407} |
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: Daniel, Lily, Alexander, Joseph, and Matthew. Daniel said that Alexander is a saint. Lily asserted: \"it is not the case that ((if Joseph is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 74, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]]], [\"telling-truth\", 2], [\"and\", [\"not\", [\"->\", [\"telling-tr... | {"split": "train", "index": 13408} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Scarlett, Oliver, Emily, Alexander, and Sofia. Scarlett was heard saying, \"it is not the case that (if (Alexander is a hero or Oliver is a villain) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 75, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"t... | {"split": "train", "index": 13409} |
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: Aria, Emily, Henry, Amelia, and Luke. Aria said, \"(if (Emily is a sinner if and only if Emily is a saint) then (if Luke is a saint then Amelia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 76, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"tell... | {"split": "train", "index": 13410} |
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, Sofia, Jack, Penelope, and Ava. Ella commented, \"Ava is an angel\". Sofia noted, \"Penelope is a devil\". Jack said, \"it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 77, \"statements\": [[\"telling-truth\", 4], [\"lying\", 3], [\"not\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 3... | {"split": "train", "index": 13411} |
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, Henry, Chloe, Logan, and Mason. In a statement by Luke: \"Henry is a knight and (Henry is a knight and (if Henry is a knave then Mason is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 78, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 1], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 1]]... | {"split": "train", "index": 13412} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jackson, Benjamin, Aurora, Ethan, and Alexander. \"((Ethan is a villain or Ethan is a hero) or (if Ethan is a hero then Ethan is a villain)) or Auror... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 79, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"telling-truth\", 2]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\... | {"split": "train", "index": 13413} |
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: Luke, Aurora, Henry, David, and James. Luke stated, \"((David is a pioneer) or David is a laggard) if and only if (it is not the case that (Jam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 80, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 3]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", ... | {"split": "train", "index": 13414} |
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, Henry, Alexander, Riley, and Isabella. Owen commented, \"(it is not the case that (Owen is a hero if and only if Riley is a villain)) or ((Isab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 81, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"not\", [\"or\", [\"not\", [\"telli... | {"split": "train", "index": 13415} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aiden, Emily, Ella, Samuel, and Lucas. Aiden said, \"Emily is a devil.\" Emily said that Samuel is a devil. Ella asserted: \"it is not the case that (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 82, \"statements\": [[\"lying\", 1], [\"lying\", 3], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\... | {"split": "train", "index": 13416} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Samuel, Alexander, Ethan, David, and Emma. In a statement by Samuel: \"it is not the case that ((David is a sinner) and (if Emma is a sinner then Dav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 83, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]]]], [\"<=>\", [\"lying\", 4],... | {"split": "train", "index": 13417} |
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, Liam, Mason, Emma, and Aria. Chloe asserted: \"(if Mason is a pioneer then (Aria is a pioneer or Emma is a pioneer)) and (if (Aria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 84, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]]], [\"lyi... | {"split": "train", "index": 13418} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sophia, Liam, Henry, David, and Lily. Sophia said, \"if ((if David is a sage then Lily is a fool) and (Liam is a sage)) then ((if Lily is a fool then Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 85, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying\", 4]]]], [\"<... | {"split": "train", "index": 13419} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Noah, Emma, Mia, David, and Benjamin. Noah expressed that (if (Mia is a fool) then (Benjamin is a fool if and only if David is a fool)) or (if (Emma is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 86, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 1]]]], [\"... | {"split": "train", "index": 13420} |
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, Amelia, Mia, Luke, and Emma. Olivia commented, \"if ((if Amelia is a sage then Mia is a sage) or (Luke is a fool and Mia is a fool)) then (if Mia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 87, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]]], ... | {"split": "train", "index": 13421} |
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: Daniel, Alexander, Evelyn, Owen, and Mia. Daniel remarked, \"((Alexander is an angel if and only if Evelyn is a devil) or (Mia is a devil)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 88, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 1]... | {"split": "train", "index": 13422} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, Henry, Aria, Jackson, and Charlotte. Noah said, \"(Aria is a knight) if and only if ((Henry is a knight) or Henry is a knight).\" Henry said th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 89, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 2], ... | {"split": "train", "index": 13423} |
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, Luke, Ethan, Elizabeth, and Michael. Aria remarked, \"(Michael is an angel and (Luke is an angel or Ethan is a devil)) and ((Elizabeth is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 90, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 1]]]], [\"-... | {"split": "train", "index": 13424} |
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, Evelyn, Ella, Oliver, and Jackson. As Luke put it, \"((if Luke is a hero then Jackson is a hero) and (Evelyn is a hero)) if and only if (Oliver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 91, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"not\", [\"lying\", 3]]], [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 0], [\"... | {"split": "train", "index": 13425} |
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, Mia, Lucas, Sebastian, and Henry. As Aiden put it, \"if (if (Mia is a laggard) then (Aiden is a pioneer and Henry is a pioneer)) then (H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 92, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 4]]], [\"lying\", 3], [\"->\", [\"not\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 13426} |
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: Abigail, Emma, Lucas, Penelope, and Zoey. Abigail said that it is not the case that (Abigail is a hero if and only if (if Emma is a hero then Zoey is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 93, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 13427} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Matthew, Aria, Sofia, Ella, and Zoey. \"if ((Ella is a sage) and (Sofia is a fool)) then Zoey is a sage\" - Matthew. \"if ((Sofia is a sage) or (Matthew is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 94, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 4]], [\"->\", [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 0], [\"telling-truth\", 0]]], [... | {"split": "train", "index": 13428} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Evelyn, Alexander, Scarlett, Mia, and Matthew. \"((Evelyn is an angel or Scarlett is a devil) and (Evelyn is an angel or Matthew is an angel)) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 95, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"->\... | {"split": "train", "index": 13429} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Chloe, Oliver, Matthew, Benjamin, and Lily. \"((if Matthew is an angel then Matthew is a devil) or Oliver is a devil) or (Benjamin is a devil or (Lily ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 96, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"not\", [\"telling-truth\", 4]]]], [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"<=>\", [\"t... | {"split": "train", "index": 13430} |
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, Zoey, Liam, Joseph, and Charlotte. \"(Liam is a knave and (Jack is a knight if and only if Joseph is a knave)) if and only if ((Joseph is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 97, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 2]]]], [\"or\", [\"<=>\", [\"and\"... | {"split": "train", "index": 13431} |
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: Samuel, Sebastian, Avery, Sofia, and Jack. Samuel said, \"Jack is a knave or ((Jack is a knight and Sofia is a knight) if and only if (Avery is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 98, \"statements\": [[\"or\", [\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\",... | {"split": "train", "index": 13432} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Chloe, Oliver, Elizabeth, Benjamin, and Aurora. Chloe remarked, \"(if (Chloe is an angel or Oliver is a devil) then (if Oliver is a devil then Elizabet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 99, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 4]], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lyin... | {"split": "train", "index": 13433} |
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: Aria, Victoria, Joseph, Samuel, and David. Aria commented, \"it is not the case that (Samuel is a saint if and only if (Aria is a saint or Victoria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 100, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"telling-truth\", 4], [\"or\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"tell... | {"split": "train", "index": 13434} |
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, Ethan, Alexander, Lucas, and Aurora. Luke said, \"Lucas is a hero.\" Ethan commented, \"((Aurora is a villain if and only if Luke is a hero) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 101, \"statements\": [[\"not\", [\"lying\", 3]], [\"and\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 13435} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Joseph, Sebastian, Elizabeth, Henry, and Jack. In a statement by Joseph: \"(if Jack is a pioneer then (Jack is a pioneer if and only if Sebasti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 102, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]]], [\"<=>\", [... | {"split": "train", "index": 13436} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ethan, Zoey, James, Henry, and Chloe. According to Ethan, \"if (it is not the case that (Henry is a saint)) then ((James is a saint and James is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 103, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"->\", [\"or\", [\"->\", [\"telling-truth... | {"split": "train", "index": 13437} |
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, Sebastian, Charlotte, Avery, and Victoria. James noted, \"if (if (Avery is a knave and James is a knight) then (Victoria is a knave or James i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 104, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-tru... | {"split": "train", "index": 13438} |
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: Oliver, Benjamin, Noah, Lucas, and Jackson. Oliver said, \"(Jackson is a hero or (Lucas is a villain if and only if Oliver is a hero)) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 105, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"lying\", 3], [\"or\", [\"not\", [\"and\", [... | {"split": "train", "index": 13439} |
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: Emily, Mason, Riley, Oliver, and Liam. Emily remarked, \"(Mason is a hero and (Oliver is a hero or Mason is a villain)) or (Oliver is a hero)\". In M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 106, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"->\", [\"lying\", 3], [\"t... | {"split": "train", "index": 13440} |
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, Aria, Elizabeth, Avery, and Benjamin. According to Ava, \"if Avery is a hero then (Benjamin is a villain or Aria is a villain)\". \"if (it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 107, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"lying\", 4]], [\"->\", [\"and\", [\"not\", [\"telling-t... | {"split": "train", "index": 13441} |
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, Aurora, Joseph, Matthew, and Henry. \"if Aurora is a fool then ((Ella is a sage and Aurora is a sage) if and only if (Aurora is a fool and Joseph is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 108, \"statements\": [[\"->\", [\"lying\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 2]]]], [\"lying\", 2], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"a... | {"split": "train", "index": 13442} |
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: Zoey, Luke, Harper, Evelyn, and William. \"Evelyn is a laggard,\" Zoey claimed. Luke stated, \"(if (Luke is a pioneer if and only if William is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 109, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth... | {"split": "train", "index": 13443} |
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, Jack, Benjamin, Joseph, and Liam. As Henry put it, \"Benjamin is a pioneer\". Jack told you that if (if (Joseph is a pioneer) then (if L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 110, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 13444} |
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, Owen, Ethan, Zoey, and Joseph. Olivia commented, \"((if Joseph is a sinner then Owen is a sinner) or (Ethan is a saint or Joseph is a saint))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 111, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 3], ... | {"split": "train", "index": 13445} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jackson, Zoey, Jacob, Lucas, and Victoria. \"Lucas is a pioneer,\" Jackson claimed. \"((if Jackson is a pioneer then Victoria is a laggard) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 112, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], ... | {"split": "train", "index": 13446} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Aurora, Charlotte, Lucas, and Elizabeth. Mason was heard saying, \"((Elizabeth is a knight) and (Aurora is a knave)) or (if (Elizabeth is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 113, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]... | {"split": "train", "index": 13447} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Emma, David, Zoey, and Penelope. \"(it is not the case that (Emma is a hero or Joseph is a hero)) and Penelope is a villain,\" Joseph mention... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 114, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"lying\", 4]], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 13448} |
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, Avery, Sophia, Emily, and Henry. Ava said, \"Sophia is an altruist.\" Avery commented, \"Henry is an altruist\". As Sophia put it, \"(Soph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 115, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 4], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"not\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"lying... | {"split": "train", "index": 13449} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ella, Grace, Jack, Scarlett, and Charlotte. Ella asserted: \"(if (if Grace is a saint then Grace is a sinner) then (Jack is a saint)) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 116, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]]], [\"not\", ... | {"split": "train", "index": 13450} |
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, Grace, Emma, Sebastian, and Aurora. Charlotte remarked, \"(Emma is a laggard) or ((Grace is a pioneer) and (Grace is a pioneer or Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 117, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"not\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], ... | {"split": "train", "index": 13451} |
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: Abigail, Olivia, Michael, Scarlett, and Matthew. Abigail was heard saying, \"it is not the case that ((Abigail is a hero or Matthew is a hero) and (M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 118, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"lying\", 2], [\"lying\", 0], [\"and\", [\"not\", [\"and\", [\"... | {"split": "train", "index": 13452} |
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, Zoey, Charlotte, Noah, and Grace. Aria said, \"((Noah is a devil or Zoey is an angel) and (Grace is an angel or Noah is a devil)) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 119, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 3]]], [\"not... | {"split": "train", "index": 13453} |
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, Lucas, Scarlett, Mason, and Elizabeth. James said, \"if Elizabeth is a knight then ((Lucas is a knight) if and only if (Scarlett is a knave if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 120, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"<=>\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]]], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [... | {"split": "train", "index": 13454} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Alexander, Elizabeth, Aria, and Emma. According to Oliver, \"if (it is not the case that (if Emma is a knight then Alexander is a knight)) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 121, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"an... | {"split": "train", "index": 13455} |
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, Isabella, Harper, Daniel, and Emma. Lily stated, \"((Isabella is a villain) if and only if (Daniel is a villain and Isabella is a hero)) or ((E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 122, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-tr... | {"split": "train", "index": 13456} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sebastian, Lucas, Isabella, Emily, and Jacob. In a statement by Sebastian: \"it is not the case that ((Lucas is an egoist or Lucas is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 123, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"not\", ... | {"split": "train", "index": 13457} |
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, Zoey, Logan, Isabella, and Ethan. Aiden commented, \"if ((Ethan is a fool) if and only if (Ethan is a sage)) then (Isabella is a fool and (Isabella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 124, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"and\", [\"lying\", 3], [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]]... | {"split": "train", "index": 13458} |
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, Daniel, Elizabeth, Emma, and Henry. Michael said, \"Elizabeth is a laggard.\" Daniel stated, \"(if (Emma is a laggard if and only if H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 125, \"statements\": [[\"lying\", 2], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"l... | {"split": "train", "index": 13459} |
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: Mia, Riley, Liam, Alexander, and Sophia. \"((if Riley is a sinner then Alexander is a sinner) or (Liam is a sinner if and only if Mia is a saint)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 126, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"not\", [\"not\", [\"and\", [\"lying\", 2],... | {"split": "train", "index": 13460} |
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, Jackson, Harper, Mia, and Ava. Emily remarked, \"(Ava is a fool and (Ava is a sage and Harper is a fool)) or ((if Ava is a fool then Emily is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 127, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]... | {"split": "train", "index": 13461} |
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, Aria, Matthew, Joseph, and Scarlett. In Chloe's words: \"Matthew is a knight\". \"(if (Aria is a knight or Joseph is a knight) then Matthew is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 128, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 2]], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"telling-truth\", 1]]], [\"->... | {"split": "train", "index": 13462} |
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, Ava, Riley, Emma, and Benjamin. In a statement by Joseph: \"((Benjamin is an egoist or Emma is an egoist) if and only if (Benjamin is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 129, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\",... | {"split": "train", "index": 13463} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Mia, Lucas, Charlotte, Michael, and Lily. According to Mia, \"Michael is a sage\". Lucas said that if ((Charlotte is a fool if and only if Michael is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 130, \"statements\": [[\"not\", [\"lying\", 3]], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"telling-truth\", 4]], [\"lying\", 0], [\"->\", [\"ly... | {"split": "train", "index": 13464} |
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: Michael, Evelyn, Logan, Ethan, and Benjamin. Michael was heard saying, \"if (if (if Benjamin is an egoist then Ethan is an egoist) then (Evelyn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 131, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 13465} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aria, Lily, Penelope, Ava, and Abigail. Aria expressed that ((Lily is a pioneer) and (Penelope is a laggard if and only if Ava is a pioneer)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 132, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"lying\", 4]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"lying\", 0]], [... | {"split": "train", "index": 13466} |
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, Oliver, Noah, Liam, and Sophia. William asserted: \"Oliver is a devil\". Oliver noted, \"if (it is not the case that (if Liam is an angel then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 133, \"statements\": [[\"lying\", 1], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]]], [\"lying\", 3], [\"t... | {"split": "train", "index": 13467} |
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: William, Riley, Matthew, Elizabeth, and Sebastian. \"((if Riley is a fool then Riley is a sage) and (Elizabeth is a sage and Elizabeth is a fool)) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 134, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 0]]], [\"lying\", 2], [\"l... | {"split": "train", "index": 13468} |
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, Victoria, Mia, Daniel, and Aurora. Ella expressed that (it is not the case that (if Aurora is a pioneer then Ella is a pioneer)) or ((Vic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 135, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"telling-tr... | {"split": "train", "index": 13469} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: William, Aurora, Oliver, Benjamin, and Charlotte. William expressed that if ((Benjamin is an altruist) and (Aurora is an egoist and Charlotte i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 136, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", ... | {"split": "train", "index": 13470} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Luke, Riley, Logan, and Lucas. Emily said that if Logan is a knight then ((Luke is a knave or Luke is a knight) if and only if Riley is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 137, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]... | {"split": "train", "index": 13471} |
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: Liam, Aurora, Owen, Emily, and Abigail. Liam noted, \"if ((if Abigail is an altruist then Liam is an altruist) or (if Emily is an altruist then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 138, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", ... | {"split": "train", "index": 13472} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Harper, Elizabeth, Ella, and David. Aria was heard saying, \"((David is a knave and Ella is a knave) and (if Harper is a knave then Elizabeth i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 139, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"... | {"split": "train", "index": 13473} |
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, David, Aria, Emma, and Jacob. \"Aria is a pioneer,\" James mentioned. \"Emma is a pioneer or (Jacob is a pioneer or (James is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 140, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"->\", [\"or\", [\"->\", [\"lying\", 0], [\"telling... | {"split": "train", "index": 13474} |
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: Luke, William, David, Chloe, and Matthew. Luke said that William is a pioneer. \"if ((Luke is a pioneer) if and only if (David is a laggard)) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 141, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"... | {"split": "train", "index": 13475} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Logan, Zoey, Emily, and Lucas. Mason remarked, \"(if (Logan is a knight or Emily is a knave) then (Emily is a knave and Lucas is a knave)) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 142, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-tru... | {"split": "train", "index": 13476} |
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, James, Chloe, Ethan, and Charlotte. In a statement by Victoria: \"if ((if Charlotte is an angel then Chloe is a devil) if and only if James i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 143, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 1]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"and... | {"split": "train", "index": 13477} |
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, Jacob, Riley, Liam, and Logan. Aiden stated, \"((Aiden is a sage and Logan is a sage) and (Riley is a sage or Riley is a fool)) or (if Aiden is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 144, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 3], [\"telli... | {"split": "train", "index": 13478} |
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: Noah, Lucas, Penelope, Matthew, and Logan. Noah told you that if ((Penelope is a hero and Matthew is a hero) if and only if (Noah is a hero and Matth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 145, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]... | {"split": "train", "index": 13479} |
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: Charlotte, Riley, Matthew, Liam, and Ethan. Charlotte remarked, \"Riley is a knight\". Riley said that Liam is a knave or (if (Charlotte is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 146, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"lying\", 3], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0]], [\"not\", [\"lying\", 3]]]], [\"lying\", 1], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 3... | {"split": "train", "index": 13480} |
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, Mason, Jacob, James, and Luke. Lily noted, \"((if James is a fool then Luke is a fool) and (James is a sage if and only if Jacob is a sage)) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 147, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 1]]], [\"and\", [... | {"split": "train", "index": 13481} |
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: Grace, Oliver, Matthew, Harper, and James. Grace told you that James is a sinner. Oliver said that (it is not the case that (Matthew is a sinner and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 148, \"statements\": [[\"lying\", 4], [\"<=>\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"... | {"split": "train", "index": 13482} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Harper, Zoey, Aiden, and Michael. Abigail expressed that (if Aiden is a saint then (Harper is a sinner and Zoey is a sinner)) and ((Harper i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 149, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"te... | {"split": "train", "index": 13483} |
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, David, Lucas, Owen, and Ethan. Mason remarked, \"Ethan is an angel\". David commented, \"it is not the case that (Mason is a devil)\". Lucas sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 150, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"<=>\", [\"and... | {"split": "train", "index": 13484} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Oliver, Grace, Lily, Sebastian, and Noah. In a statement by Oliver: \"Oliver is a pioneer\". In Grace's words: \"((Noah is a laggard and Noah i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 151, \"statements\": [[\"telling-truth\", 0], [\"or\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 2]],... | {"split": "train", "index": 13485} |
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, Jack, Ava, James, and Ethan. Alexander stated, \"Jack is a laggard\". Jack told you that Ava is a laggard if and only if ((Ava is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 152, \"statements\": [[\"lying\", 1], [\"<=>\", [\"lying\", 2], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 4]]], [\"lying\", 0], [\"or\", [\"telling-truth\", 4], [\"and\", [\"and\", [\"lying... | {"split": "train", "index": 13486} |
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: Mia, Sebastian, Benjamin, Oliver, and Ava. \"((Ava is a sinner or Benjamin is a saint) or (Benjamin is a saint or Ava is a saint)) or ((if Benjamin i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 153, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"lying\", 4]]], [\"not\"... | {"split": "train", "index": 13487} |
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: Jacob, Noah, Samuel, Emma, and Logan. In Jacob's words: \"(it is not the case that (Logan is a hero and Samuel is a hero)) if and only if (if (Samuel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 154, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 3]]]], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 2]... | {"split": "train", "index": 13488} |
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: Mason, Noah, Sebastian, Charlotte, and Avery. Mason expressed that Sebastian is a laggard. Noah remarked, \"it is not the case that (Charlotte ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 155, \"statements\": [[\"lying\", 2], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 1]], [\"lying\", 3]], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 2], [... | {"split": "train", "index": 13489} |
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, Zoey, Ella, Jacob, and Penelope. In Aiden's words: \"if (it is not the case that (Jacob is a knave or Jacob is a knight)) then ((Ella is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 156, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 13490} |
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: William, Aurora, Amelia, Abigail, and Sofia. William told you that (it is not the case that (if Abigail is a hero then Amelia is a villain)) or (Amel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 157, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0... | {"split": "train", "index": 13491} |
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, Avery, Jackson, Amelia, and Riley. \"Riley is a knave,\" Alexander declared. Avery noted, \"Riley is a knight\". According to Jackson, \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 158, \"statements\": [[\"lying\", 4], [\"not\", [\"lying\", 4]], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"te... | {"split": "train", "index": 13492} |
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, Emma, Penelope, Noah, and Zoey. According to Sebastian, \"(it is not the case that (if Zoey is a saint then Sebastian is a saint)) or (Emm... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 159, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\... | {"split": "train", "index": 13493} |
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: Harper, Abigail, Grace, Isabella, and Zoey. Harper stated, \"Zoey is a saint if and only if (Zoey is a sinner if and only if Abigail is a sinner)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 160, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", ... | {"split": "train", "index": 13494} |
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, Evelyn, Mia, Isabella, and Noah. Grace asserted: \"Mia is an angel\". Evelyn said, \"Mia is an angel.\" Mia remarked, \"Isabella is an angel and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 161, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"lying\... | {"split": "train", "index": 13495} |
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: Penelope, Lucas, Luke, Elizabeth, and Sebastian. Penelope said that if ((Elizabeth is an angel if and only if Sebastian is a devil) if and only if (Luk... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 162, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 2]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"or\", [\"lying\"... | {"split": "train", "index": 13496} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ethan, Sofia, Owen, Victoria, and Isabella. As Ethan put it, \"(Isabella is a devil if and only if (Victoria is a devil)) or ((Owen is an angel) or (So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 163, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"->\", [\"not\", [\"not\", [\"lyin... | {"split": "train", "index": 13497} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lily, Ava, Sofia, Harper, and Mason. Lily stated, \"Lily is an angel\". Ava remarked, \"((Sofia is a devil) and (Lily is a devil or Lily is an angel)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 164, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"tel... | {"split": "train", "index": 13498} |
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, Daniel, Elizabeth, Sophia, and Owen. In a statement by Ella: \"(Owen is a laggard and Elizabeth is a laggard) and ((Owen is a pioneer) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 165, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"->\", [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"ly... | {"split": "train", "index": 13499} |
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