data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mason, Jacob, Amelia, Olivia, and Grace. Mason was heard saying, \"(Jacob is a pioneer or Grace is a laggard) and (Grace is a pioneer)\". Jacob... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2032, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"and\", [\"telling-truth\", 0], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"or\", [\"lying\", 4], [\"<=>\", [\"... | {"split": "train", "index": 8700} |
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, Evelyn, Elizabeth, James, and David. \"(Alexander is an angel or Elizabeth is an angel) and (David is an angel)\" - Alexander. \"Elizabeth i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2033, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling... | {"split": "train", "index": 8701} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Zoey, Ella, Owen, Olivia, and Matthew. \"Owen is an egoist,\" Zoey declared. \"(Olivia is an altruist if and only if Ella is an altruist) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2034, \"statements\": [[\"lying\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 8702} |
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, Michael, Penelope, Ethan, and Amelia. Matthew said that Michael is an egoist if and only if (Amelia is an altruist and Ethan is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2035, \"statements\": [[\"<=>\", [\"lying\", 1], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 8703} |
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, Grace, Emily, Harper, and Sofia. \"(Harper is a devil if and only if Grace is an angel) and Emily is a devil,\" Henry declared. Grace noted, \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2036, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 2]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"-... | {"split": "train", "index": 8704} |
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, Avery, Henry, Michael, and Jackson. According to Penelope, \"(Jackson is a devil or Henry is a devil) or (Michael is a devil if and only if H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2037, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"-... | {"split": "train", "index": 8705} |
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: Emily, Harper, Logan, Sebastian, and Samuel. Emily expressed that it is not the case that (Harper is an altruist). \"(Sebastian is an egoist or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2038, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"lying\", 4]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\",... | {"split": "train", "index": 8706} |
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: Daniel, Harper, Noah, Victoria, and David. Daniel was heard saying, \"it is not the case that (David is a knight)\". \"Daniel is a knave,\" Harper cl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2039, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"lying\", 0], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"l... | {"split": "train", "index": 8707} |
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, James, Chloe, Emma, and Mason. \"(Emma is an altruist or James is an egoist) or (James is an egoist if and only if Mason is an egoist),\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2040, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lyi... | {"split": "train", "index": 8708} |
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, Samuel, James, Isabella, and Abigail. \"if (James is a devil) then Emma is an angel,\" Emma claimed. Samuel told you that Isabella is a devil. Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2041, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"lying\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-t... | {"split": "train", "index": 8709} |
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, Samuel, Isabella, Grace, and Mia. Charlotte commented, \"(Isabella is a fool) if and only if (if Grace is a sage then Isabella is a fool)\". Sam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2042, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\... | {"split": "train", "index": 8710} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Noah, Jackson, Avery, Alexander, and Emily. Noah expressed that (if Avery is a pioneer then Emily is a laggard) if and only if (Jackson is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2043, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2]... | {"split": "train", "index": 8711} |
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: Aurora, Owen, Aria, Ethan, and Elizabeth. \"(Elizabeth is a laggard or Owen is a pioneer) and (if Aria is a pioneer then Owen is a laggard),\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2044, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"telling-truth\", 0], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\"... | {"split": "train", "index": 8712} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: James, Victoria, David, Mason, and Noah. \"Victoria is an altruist and (if Victoria is an altruist then Mason is an altruist),\" James mentione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2045, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 4]], [\"not\", [\"not\", [\"telling-tr... | {"split": "train", "index": 8713} |
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, Joseph, Scarlett, Ethan, and Ava. In Liam's words: \"(if Joseph is a fool then Ava is a sage) and (if Scarlett is a fool then Ava is a sage)\". Josep... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2046, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth... | {"split": "train", "index": 8714} |
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, Liam, Matthew, Sophia, and Lily. \"(Lily is a fool) or (if Sophia is a sage then Matthew is a fool)\" - Harper. Liam stated, \"Lily is a fool\". Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2047, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"lying\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-trut... | {"split": "train", "index": 8715} |
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, Jack, Mia, Joseph, and Sophia. In Ella's words: \"(Mia is a sage or Sophia is a sage) if and only if Joseph is a sage\". Jack remarked, \"Sophia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2048, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 8716} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sebastian, Chloe, Liam, Sophia, and Harper. \"(if Harper is a hero then Liam is a hero) and (Chloe is a villain if and only if Sebastian is a hero),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2049, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\... | {"split": "train", "index": 8717} |
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, Joseph, Samuel, Sophia, and Ava. In Mia's words: \"Ava is a laggard\". As Joseph put it, \"it is not the case that (if Sophia is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2050, \"statements\": [[\"lying\", 4], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"lying\", 0]]], [\"->\", [\"not\", [\"t... | {"split": "train", "index": 8718} |
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, Ella, William, Scarlett, and Chloe. Liam remarked, \"(Chloe is an egoist or Scarlett is an egoist) if and only if Ella is an egoist\". \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2051, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"lying\", 1]], [\"<=>\", [\"lying\", 0], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 0], [\"not\", [\"lying\", 0... | {"split": "train", "index": 8719} |
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, Daniel, Lucas, Jackson, and Joseph. According to Ella, \"it is not the case that (Daniel is a devil or Lucas is an angel)\". According to Daniel,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2052, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 0], [\"telling-truth\"... | {"split": "train", "index": 8720} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Benjamin, Ella, Sofia, Olivia, and Penelope. \"if (Penelope is a laggard) then (Penelope is a laggard or Benjamin is a pioneer)\" - Benjamin. \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2053, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-tr... | {"split": "train", "index": 8721} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Michael, Alexander, Ethan, and Scarlett. Amelia said that Ethan is a knight or Ethan is a knave. Michael asserted: \"(Amelia is a knight) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2054, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-... | {"split": "train", "index": 8722} |
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, Henry, Daniel, David, and Benjamin. In a statement by Aiden: \"it is not the case that (Henry is an angel and David is an angel)\". \"Aiden is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2055, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"lying\", 0], [\"and\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"telling-t... | {"split": "train", "index": 8723} |
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, Alexander, William, Ella, and Henry. \"Henry is a fool,\" Olivia declared. Alexander expressed that (if Henry is a sage then William is a fool) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2056, \"statements\": [[\"lying\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"or\", [\"telling-tr... | {"split": "train", "index": 8724} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Evelyn, Jackson, Luke, Jack, and Zoey. Evelyn expressed that (Jackson is a pioneer or Jack is a pioneer) if and only if (Luke is a laggard or J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2057, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"te... | {"split": "train", "index": 8725} |
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, Benjamin, Jackson, Harper, and Emily. In Riley's words: \"(Benjamin is a hero and Benjamin is a villain) or (if Riley is a hero then Emily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2058, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"telling-tru... | {"split": "train", "index": 8726} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sofia, Daniel, Evelyn, Emily, and Luke. \"(if Emily is a sage then Luke is a fool) or (Daniel is a sage if and only if Sofia is a sage),\" Sofia mentioned.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2059, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 0],... | {"split": "train", "index": 8727} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Benjamin, Emma, Noah, Isabella, and Avery. In a statement by Benjamin: \"it is not the case that (if Avery is a sinner then Noah is a saint)\". Emma ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2060, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"lying\", 3], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\"... | {"split": "train", "index": 8728} |
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, Mia, Grace, Henry, and Noah. Emily remarked, \"(Grace is a villain or Mia is a hero) and (Henry is a hero if and only if Noah is a hero)\". Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2061, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 0]... | {"split": "train", "index": 8729} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Joseph, Sophia, Liam, Benjamin, and Amelia. Joseph asserted: \"Benjamin is a saint and (Liam is a saint)\". Sophia said, \"Liam is a sinner and (Jose... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2062, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"not\", [\"lying\", 2]]], [\"and\", [\"lying\", 2], [\"or\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", ... | {"split": "train", "index": 8730} |
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, Jack, Liam, Emma, and Scarlett. Aria asserted: \"if (Jack is a pioneer and Jack is a laggard) then (if Scarlett is a laggard then Aria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2063, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3],... | {"split": "train", "index": 8731} |
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, Luke, Jackson, Charlotte, and Ella. Evelyn remarked, \"(Evelyn is a hero if and only if Luke is a villain) or (if Evelyn is a hero then Charl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2064, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 2], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and... | {"split": "train", "index": 8732} |
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, Mia, Amelia, Aria, and Lucas. \"(Lucas is a villain) if and only if (if Aria is a villain then Lucas is a villain),\" Avery mentioned. Mia was... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2065, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"<... | {"split": "train", "index": 8733} |
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: Liam, Olivia, Joseph, Mia, and Aiden. In Liam's words: \"(Joseph is an angel if and only if Aiden is a devil) if and only if (Aiden is a devil or Josep... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2066, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 3], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"or\... | {"split": "train", "index": 8734} |
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: Liam, Emma, Mason, Penelope, and Chloe. Liam said that (if Emma is a knave then Liam is a knight) and (Chloe is a knight and Penelope is a knight). I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2067, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"->\", [\"or... | {"split": "train", "index": 8735} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lucas, William, Harper, Aria, and Riley. \"if (Harper is a saint and Aria is a sinner) then (William is a saint or Lucas is a saint),\" Lucas claimed... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2068, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"lying\", 3], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\... | {"split": "train", "index": 8736} |
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, Sophia, Aiden, Jackson, and Emma. Mason noted, \"(Aiden is an altruist) if and only if (Aiden is an altruist and Aiden is an egoist)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2069, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\... | {"split": "train", "index": 8737} |
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: Riley, Ella, Jackson, Harper, and Olivia. Riley was heard saying, \"it is not the case that (if Olivia is a sinner then Jackson is a sinner)\". Ella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2070, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3... | {"split": "train", "index": 8738} |
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, Daniel, Lucas, Isabella, and Sophia. Penelope said that (Lucas is an angel and Isabella is a devil) or Daniel is an angel. According to Danie... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2071, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 1]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"l... | {"split": "train", "index": 8739} |
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, Aiden, Liam, Ella, and Luke. Daniel asserted: \"(Daniel is an angel and Luke is a devil) if and only if (Liam is a devil or Ella is a devil)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2072, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"... | {"split": "train", "index": 8740} |
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, Elizabeth, Logan, Michael, and Sebastian. In a statement by Scarlett: \"if (if Michael is a hero then Logan is a hero) then Michael is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2073, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"lying\", 0], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"lying\", 3]], [\"->\", [\"not\", [\"lyin... | {"split": "train", "index": 8741} |
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, Sophia, James, Lucas, and Chloe. \"if (James is a laggard and Zoey is a pioneer) then (Sophia is a laggard if and only if Chloe is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2074, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"and... | {"split": "train", "index": 8742} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aurora, Sebastian, Emma, Jack, and Emily. \"Emma is an egoist or (Emily is an egoist or Sebastian is an altruist),\" Aurora declared. Sebastian... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2075, \"statements\": [[\"or\", [\"lying\", 2], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"o... | {"split": "train", "index": 8743} |
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, Jack, Luke, Logan, and Michael. In Alexander's words: \"Alexander is an angel\". Jack expressed that (Jack is an angel if and only if Luke i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2076, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 0]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"-... | {"split": "train", "index": 8744} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Henry, Olivia, Grace, Daniel, and Mia. Henry asserted: \"if (Grace is an altruist and Daniel is an altruist) then (if Daniel is an altruist the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2077, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]],... | {"split": "train", "index": 8745} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lily, Abigail, Riley, Noah, and Luke. According to Lily, \"(Noah is an altruist) and (Abigail is an egoist)\". As Abigail put it, \"Noah is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2078, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"->\", [\"lying\", 0], [\"lying\", 3]]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 8746} |
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: Emma, James, Isabella, Avery, and Samuel. In Emma's words: \"(if Avery is a fool then James is a sage) if and only if (Isabella is a fool)\". James said th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2079, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]... | {"split": "train", "index": 8747} |
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, Ella, Sebastian, Avery, and Jackson. Lucas noted, \"Lucas is an altruist or (Ella is an egoist or Avery is an egoist)\". \"(if Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2080, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"t... | {"split": "train", "index": 8748} |
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: Olivia, Luke, Mia, Jacob, and Aurora. Olivia said, \"it is not the case that (Jacob is a laggard).\" As Luke put it, \"(Aurora is a laggard and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2081, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"lying\", 4], [\"or\", [\"and\", [\"telling-... | {"split": "train", "index": 8749} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lucas, Logan, Abigail, Henry, and Ava. Lucas said that it is not the case that (Ava is a sage and Ava is a fool). Logan expressed that (Lucas is a fool if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2082, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 8750} |
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, Luke, Elizabeth, Ethan, and Owen. In a statement by Isabella: \"Isabella is an angel\". As Luke put it, \"if (if Isabella is an angel then Ow... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2083, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 1], [\"or\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 8751} |
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, Samuel, Ava, Daniel, and Penelope. \"it is not the case that (if Daniel is a hero then Daniel is a villain),\" Avery declared. \"(Ava is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2084, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"telling-truth\", 3], [\"not\", [\"... | {"split": "train", "index": 8752} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Joseph, Ava, Sebastian, Logan, and Owen. Joseph commented, \"Sebastian is a fool or (Logan is a fool if and only if Ava is a sage)\". Ava told you that if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2085, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"telling-truth... | {"split": "train", "index": 8753} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Oliver, Samuel, Scarlett, and Liam. \"if (Scarlett is a knight if and only if Samuel is a knave) then (Oliver is a knight),\" Lily claimed. \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2086, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"<=>\",... | {"split": "train", "index": 8754} |
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, Aria, Grace, Alexander, and Evelyn. Jackson asserted: \"Grace is an altruist\". \"(Alexander is an altruist and Grace is an altruist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2087, \"statements\": [[\"not\", [\"lying\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 0], [\"and\", [\"lying\", 0... | {"split": "train", "index": 8755} |
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, Charlotte, Emily, Noah, and Chloe. \"if (Noah is a devil and Emily is an angel) then (if Charlotte is a devil then Charlotte is an angel),\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2088, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"telling-tr... | {"split": "train", "index": 8756} |
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, Alexander, Harper, David, and Ella. Riley said that (Ella is a knave) or (if Harper is a knave then Riley is a knight). Alexander told you tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2089, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"->\", [\"->\", [\"ly... | {"split": "train", "index": 8757} |
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: Charlotte, Jacob, David, Alexander, and Penelope. \"(if Penelope is a sinner then Alexander is a sinner) or (Jacob is a sinner)\" - Charlotte. Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2090, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 2], [\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"lyin... | {"split": "train", "index": 8758} |
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, Jacob, Charlotte, William, and Lily. Zoey remarked, \"it is not the case that (William is a laggard)\". In Jacob's words: \"Zoey is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2091, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"lying\", 0], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [... | {"split": "train", "index": 8759} |
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: Avery, James, Aria, Sophia, and Zoey. Avery asserted: \"(Aria is a laggard if and only if James is a pioneer) if and only if Aria is a laggard\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2092, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"lying\", 2]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 4]], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\... | {"split": "train", "index": 8760} |
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: David, Victoria, Noah, Amelia, and Elizabeth. David said, \"it is not the case that (David is a knight if and only if Noah is a knave).\" Victoria co... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2093, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 0]]], [\"lying\", 0], [\"<=>\", [\"telling-truth\", 1], [\"not\", [... | {"split": "train", "index": 8761} |
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, Sebastian, Victoria, Jacob, and Sofia. Samuel expressed that Sofia is a sinner. \"(if Jacob is a saint then Samuel is a sinner) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2094, \"statements\": [[\"lying\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 4]], [\"lying\", 3]], [\"<=>\", [\"and\", [... | {"split": "train", "index": 8762} |
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: Matthew, Jack, Alexander, Riley, and Sofia. Matthew said that (Matthew is an angel if and only if Jack is a devil) if and only if (Matthew is a devil).... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2095, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\... | {"split": "train", "index": 8763} |
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, Ethan, Amelia, Zoey, and Lucas. \"Amelia is a devil,\" Penelope declared. According to Ethan, \"Ethan is an angel or (if Ethan is an angel th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2096, \"statements\": [[\"lying\", 2], [\"or\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], ... | {"split": "train", "index": 8764} |
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: Samuel, Oliver, Michael, Henry, and Elizabeth. In a statement by Samuel: \"(Oliver is a villain if and only if Elizabeth is a villain) and (if Michae... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2097, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"lying\", 2], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 8765} |
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, Victoria, Charlotte, James, and Emily. \"(if Emily is a hero then Noah is a hero) and (James is a villain and James is a hero)\" - Noah. Victor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2098, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4... | {"split": "train", "index": 8766} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Evelyn, Sophia, Chloe, Aiden, and Sofia. \"Chloe is a pioneer,\" Evelyn declared. Sophia said that if Aiden is a pioneer then (if Sofia is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2099, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]]... | {"split": "train", "index": 8767} |
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, Sophia, Mia, and Samuel. James said that if (James is a laggard) then (Samuel is a pioneer if and only if Sophia is a pioneer). \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2100, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"n... | {"split": "train", "index": 8768} |
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, Samuel, Zoey, Sofia, and Henry. According to Evelyn, \"(Sofia is an angel if and only if Zoey is an angel) if and only if (if Zoey is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2101, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 8769} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Luke, Liam, Grace, Zoey, and Alexander. As Luke put it, \"(Alexander is an angel) or Liam is an angel\". Liam said, \"it is not the case that (Alexande... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2102, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 1]], [\"not\", [\"not\", [\"lying\", 4]]], [\"lying\", 3], [\"telling-truth\", 0], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]]], \"... | {"split": "train", "index": 8770} |
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, Elizabeth, Abigail, Mason, and Avery. Emily remarked, \"if Mason is a hero then Abigail is a villain\". Elizabeth noted, \"if (Avery is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2103, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"not\", [\"lying\", 4]], [\"lying\", 3]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling... | {"split": "train", "index": 8771} |
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, Charlotte, Sebastian, Jacob, and Ava. \"(if Ava is a knight then Ava is a knave) and (if Ava is a knight then Sebastian is a knight)\" - Noah. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2104, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"ly... | {"split": "train", "index": 8772} |
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: Daniel, Riley, Aurora, Zoey, and Victoria. Daniel was heard saying, \"(Zoey is a knight and Victoria is a knave) or (Zoey is a knight)\". \"it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2105, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 0], [\"lying\"... | {"split": "train", "index": 8773} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Michael, Isabella, Scarlett, Aurora, and Ella. \"(if Scarlett is a hero then Aurora is a hero) if and only if (Aurora is a villain or Isabella is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2106, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"lying\", 3], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"and\", [\"an... | {"split": "train", "index": 8774} |
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, Mason, James, Jack, and Grace. Evelyn commented, \"(Jack is a knight if and only if Mason is a knight) or (Evelyn is a knave)\". Mason commen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2107, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"... | {"split": "train", "index": 8775} |
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, Joseph, Michael, Harper, and Alexander. \"(Joseph is an altruist or Harper is an egoist) if and only if (Alexander is an egoist if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2108, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-tru... | {"split": "train", "index": 8776} |
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, Emily, Elizabeth, Aurora, and Avery. Zoey remarked, \"Avery is a laggard\". Emily expressed that Elizabeth is a laggard. \"(if Zoey is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2109, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"lying\", 2], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-tru... | {"split": "train", "index": 8777} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Benjamin, Oliver, Lily, Sofia, and Grace. Benjamin said, \"Lily is a laggard.\" Oliver said that (Grace is a pioneer if and only if Sofia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2110, \"statements\": [[\"lying\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"lying\", 4], [\"not\", [\"and\", [\"lying\", 0], [\"telling-tru... | {"split": "train", "index": 8778} |
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, Amelia, Noah, Aurora, and Mason. Abigail noted, \"if (Mason is a hero or Noah is a villain) then Amelia is a hero\". \"if Aurora is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2111, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 1]], [\"->\", [\"not\", [\"t... | {"split": "train", "index": 8779} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Liam, Jack, Ella, Aiden, and Benjamin. \"if (Ella is a saint if and only if Liam is a saint) then (Aiden is a sinner if and only if Ella is a saint),... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2112, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 3]... | {"split": "train", "index": 8780} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Zoey, David, Harper, Evelyn, and Michael. In Zoey's words: \"Zoey is a hero\". According to David, \"(David is a villain) or (Zoey is a villain if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2113, \"statements\": [[\"telling-truth\", 0], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"lying\", 3]], [\"<=>\... | {"split": "train", "index": 8781} |
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: Jack, Joseph, Jackson, Zoey, and Scarlett. Jack said, \"Zoey is a sage.\" Joseph remarked, \"it is not the case that (Scarlett is a sage)\". In Jackson's w... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2114, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\"... | {"split": "train", "index": 8782} |
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, Aurora, Joseph, Benjamin, and William. \"(Joseph is a knave or William is a knight) or (if William is a knave then Benjamin is a knave)\" - Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2115, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"lying\", 1], ... | {"split": "train", "index": 8783} |
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, Liam, Sofia, James, and Aurora. Jack expressed that (Aurora is a knight and Sofia is a knight) or (Liam is a knight or James is a knave). Liam ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2116, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"... | {"split": "train", "index": 8784} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aiden, Owen, Jacob, Mason, and Lily. \"(Aiden is an altruist or Lily is an altruist) if and only if (Jacob is an egoist if and only if Owen is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2117, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"lying\", 0], [\"lying\", 4]]], [\"and... | {"split": "train", "index": 8785} |
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, Michael, Noah, Abigail, and Evelyn. Lily told you that if (Noah is a hero or Michael is a villain) then (Abigail is a villain if and only if Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2118, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 0]], [\"lying\", 0], ... | {"split": "train", "index": 8786} |
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, Matthew, Mason, Henry, and Ella. Harper stated, \"Matthew is an egoist\". Matthew said, \"it is not the case that (Ella is an egoist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2119, \"statements\": [[\"lying\", 1], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"... | {"split": "train", "index": 8787} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sofia, Alexander, Emma, Aiden, and Charlotte. According to Sofia, \"(Charlotte is a laggard if and only if Alexander is a pioneer) or (Emma is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2120, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-tru... | {"split": "train", "index": 8788} |
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, Logan, Ava, Mason, and Riley. Evelyn commented, \"it is not the case that (Ava is a sage and Riley is a sage)\". In a statement by Logan: \"(Mason ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2121, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"lying\", 1], [\"telling-truth\", 2... | {"split": "train", "index": 8789} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Logan, Sebastian, Avery, Amelia, and Harper. Logan expressed that if (Logan is a sage or Amelia is a fool) then (Avery is a sage if and only if Sebastian i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2122, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"lying\", 4], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 1]], [\"and\... | {"split": "train", "index": 8790} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Matthew, Lily, Penelope, Evelyn, and Mason. \"(if Evelyn is a sinner then Mason is a saint) or (Penelope is a sinner if and only if Matthew is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2123, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"lying\", 0]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"or\", [... | {"split": "train", "index": 8791} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: William, Owen, Logan, Scarlett, and Elizabeth. According to William, \"if (Elizabeth is a sinner or Scarlett is a saint) then (Owen is a sinner or El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2124, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"tell... | {"split": "train", "index": 8792} |
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: Daniel, Riley, Victoria, Aiden, and Sebastian. Daniel remarked, \"(Aiden is a knave if and only if Aiden is a knight) or (if Aiden is a knave then Ri... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2125, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 8793} |
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, William, Avery, Emma, and Penelope. Joseph remarked, \"(if Joseph is a pioneer then Emma is a laggard) if and only if (Penelope is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2126, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]... | {"split": "train", "index": 8794} |
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, Evelyn, David, Michael, and Emily. \"if (Michael is a villain if and only if Evelyn is a villain) then (if Evelyn is a hero then Michael is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2127, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying... | {"split": "train", "index": 8795} |
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: Aria, Ethan, Jack, Mason, and Lucas. Aria commented, \"it is not the case that (Mason is a villain or Lucas is a hero)\". In Ethan's words: \"(Ethan ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2128, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"not\", [\"t... | {"split": "train", "index": 8796} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lily, David, Zoey, Oliver, and William. Lily told you that Zoey is a pioneer and Zoey is a laggard. David asserted: \"(if Zoey is a laggard the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2129, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 3... | {"split": "train", "index": 8797} |
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: Emma, Zoey, Aiden, Lily, and Mia. As Emma put it, \"Zoey is a villain and (Lily is a hero and Zoey is a villain)\". Zoey told you that (Emma is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2130, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"and\", [\... | {"split": "train", "index": 8798} |
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: Ava, Joseph, Abigail, Alexander, and Aiden. According to Ava, \"if (if Abigail is a knight then Aiden is a knight) then (Joseph is a knight and Josep... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2131, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3]... | {"split": "train", "index": 8799} |
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