data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Scarlett, Elizabeth, Aurora, Mason, and Samuel. In a statement by Scarlett: \"(Elizabeth is an egoist) and (if Aurora is an altruist then Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 332, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 0]], [\"not\", [\"<... | {"split": "train", "index": 7000} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Michael, Aurora, Isabella, Sebastian, and Jacob. \"(if Sebastian is a fool then Aurora is a fool) and (Isabella is a sage if and only if Jacob is a fool),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 333, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-tru... | {"split": "train", "index": 7001} |
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: Chloe, Sofia, Daniel, Jackson, and Lucas. In a statement by Chloe: \"if (Lucas is an egoist and Jackson is an altruist) then (Jackson is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 334, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 3], [\"ly... | {"split": "train", "index": 7002} |
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, Jacob, Joseph, Mia, and Olivia. As Liam put it, \"Joseph is a knave or (Jacob is a knave if and only if Olivia is a knave)\". Jacob asserted: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 335, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"or\", [\"lying\", 1], [\"or\", [\"ly... | {"split": "train", "index": 7003} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lucas, William, Avery, Isabella, and Benjamin. Lucas commented, \"Isabella is a pioneer and (Isabella is a laggard and Benjamin is a laggard)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 336, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 7004} |
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, Aria, Jacob, Zoey, and Liam. Henry remarked, \"it is not the case that (if Zoey is an egoist then Jacob is an altruist)\". Aria was hear... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 337, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 2], [\"or\", [\"not\", [\"lying\", 1]], [\"-... | {"split": "train", "index": 7005} |
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: Victoria, Henry, Logan, Chloe, and Noah. In Victoria's words: \"Noah is a knight\". \"(Noah is a knight or Noah is a knave) or (Victoria is a knave i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 338, \"statements\": [[\"not\", [\"lying\", 4]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]]], [\"telling-truth\", 0], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lyin... | {"split": "train", "index": 7006} |
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, Olivia, Owen, Amelia, and Oliver. \"(Jackson is a hero if and only if Owen is a hero) or Amelia is a villain\" - Jackson. In Olivia's words:... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 339, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 3]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"not\", [\"or\... | {"split": "train", "index": 7007} |
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, Joseph, David, Zoey, and Luke. According to Grace, \"David is a devil\". As Joseph put it, \"if (if David is a devil then Grace is an angel) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 340, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lyin... | {"split": "train", "index": 7008} |
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, Grace, Jack, Aurora, and Amelia. Emily said that it is not the case that (if Grace is a hero then Amelia is a hero). Grace expressed that Auro... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 341, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 3], [\"->\", [\"lying\", 3], [\"not\", [\"lying\", 1]]], [\"or\", [\"telling-truth\", 3], [\"->\", [\"telling-truth... | {"split": "train", "index": 7009} |
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, Isabella, Aurora, Victoria, and Elizabeth. Owen told you that (if Isabella is a laggard then Victoria is a pioneer) and (Aurora is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 342, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 1], [\"ly... | {"split": "train", "index": 7010} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Olivia, Matthew, Oliver, Aurora, and Daniel. Olivia remarked, \"Daniel is a villain and (Oliver is a villain if and only if Aurora is a hero)\". Matt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 343, \"statements\": [[\"and\", [\"lying\", 4], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"or\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 2],... | {"split": "train", "index": 7011} |
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, Henry, Charlotte, Elizabeth, and Daniel. Grace asserted: \"(Daniel is a sinner) and (Charlotte is a sinner and Daniel is a saint)\". Henry ass... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 344, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [... | {"split": "train", "index": 7012} |
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, Isabella, Aria, Elizabeth, and Owen. Ava noted, \"if (Aria is a knave) then Owen is a knave\". \"(Elizabeth is a knave if and only if Aria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 345, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 4]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", ... | {"split": "train", "index": 7013} |
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, Olivia, Liam, and Riley. Lucas stated, \"Ella is an egoist if and only if (Ella is an egoist and Liam is an egoist)\". \"if (Ella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 346, \"statements\": [[\"<=>\", [\"lying\", 1], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 0], [\"lying\", 2]]], [\"->\", [\"->\", [\"te... | {"split": "train", "index": 7014} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Amelia, Lily, Emily, Henry, and Charlotte. In Amelia's words: \"Emily is a fool\". According to Lily, \"Charlotte is a fool\". According to Emily, \"Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 347, \"statements\": [[\"lying\", 2], [\"lying\", 4], [\"and\", [\"lying\", 3], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telli... | {"split": "train", "index": 7015} |
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, Olivia, Jacob, Emma, and Owen. Mia asserted: \"Mia is a pioneer or (Olivia is a laggard or Owen is a pioneer)\". Olivia told you that it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 348, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-tru... | {"split": "train", "index": 7016} |
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, Mia, Matthew, Ella, and Sofia. In a statement by Isabella: \"Matthew is a devil\". \"(Matthew is an angel and Sofia is an angel) and Ella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 349, \"statements\": [[\"lying\", 2], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lying\", 3]], [\"lying\", 4], [\"not\", [\"lying\", 0]], [\"telling-truth\", 1]], \"solution\": [false, false, true,... | {"split": "train", "index": 7017} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Avery, Scarlett, Jack, Lucas, and Chloe. Avery commented, \"(Jack is a sage and Avery is a sage) if and only if (Lucas is a fool or Scarlett is a fool)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 350, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0... | {"split": "train", "index": 7018} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: William, Lucas, Ava, Jack, and Benjamin. William told you that (if Ava is an altruist then Lucas is an altruist) and (Benjamin is an altruist i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 351, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"not\", [\"telling-truth\", 3... | {"split": "train", "index": 7019} |
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, Sophia, Jackson, David, and Ethan. \"(Ethan is a villain) and (if Jackson is a villain then Ethan is a hero),\" Riley claimed. \"if (David is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 352, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"not\", [\"not\", [\"tellin... | {"split": "train", "index": 7020} |
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: Victoria, Jackson, Joseph, Aurora, and Daniel. Victoria told you that Jackson is a knight if and only if (Daniel is a knight if and only if Aurora is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 353, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [... | {"split": "train", "index": 7021} |
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, Ethan, Matthew, Daniel, and Luke. In a statement by Jack: \"if (Jack is a knight if and only if Daniel is a knight) then (Matthew is a knave or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 354, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [... | {"split": "train", "index": 7022} |
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, Ava, Owen, Daniel, and James. Riley was heard saying, \"if James is a knave then (Daniel is a knight or Riley is a knight)\". Ava remarked, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 355, \"statements\": [[\"->\", [\"lying\", 4], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 0]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\... | {"split": "train", "index": 7023} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Olivia, Emily, Samuel, Mason, and Michael. Olivia told you that Michael is an egoist. Emily commented, \"if (Samuel is an altruist or Samuel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 356, \"statements\": [[\"lying\", 4], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], ... | {"split": "train", "index": 7024} |
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, David, Elizabeth, Amelia, and Benjamin. Evelyn noted, \"(if Benjamin is a pioneer then David is a pioneer) or (Benjamin is a laggard)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 357, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 7025} |
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, James, Liam, William, and Emily. According to Harper, \"Liam is a sinner\". As James put it, \"(Liam is a saint) if and only if (Harper is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 358, \"statements\": [[\"lying\", 2], [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\... | {"split": "train", "index": 7026} |
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: Jack, Alexander, Emily, Logan, and Matthew. Jack said, \"(if Emily is an angel then Logan is a devil) if and only if (if Emily is a devil then Logan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 359, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 0]]... | {"split": "train", "index": 7027} |
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, Sebastian, Charlotte, Harper, and Chloe. Mia told you that (if Charlotte is a pioneer then Charlotte is a laggard) if and only if (Charlot... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 360, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4]... | {"split": "train", "index": 7028} |
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, Noah, Benjamin, Amelia, and Emily. According to Mason, \"Emily is a knight or (Noah is a knight if and only if Amelia is a knave)\". Noah comm... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 361, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"... | {"split": "train", "index": 7029} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Joseph, Benjamin, Riley, and Penelope. According to Charlotte, \"it is not the case that (Penelope is an altruist or Riley is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 362, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 4], [\"telling-truth\", 4], ... | {"split": "train", "index": 7030} |
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, Scarlett, Isabella, Daniel, and Ava. Victoria told you that Victoria is an angel or (Isabella is a devil or Scarlett is an angel). Scarlett n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 363, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"lying\", 0]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"tell... | {"split": "train", "index": 7031} |
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, Benjamin, Ethan, Charlotte, and Grace. Liam was heard saying, \"Benjamin is an angel\". Benjamin commented, \"(Ethan is an angel or Grace is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 364, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"not\... | {"split": "train", "index": 7032} |
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, Matthew, Aiden, Joseph, and Jack. \"(if Jack is a knave then Jack is a knight) if and only if (Aiden is a knave)\" - Noah. Matthew was heard sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 365, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"->\", [\"and\", [\"t... | {"split": "train", "index": 7033} |
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, Logan, Luke, Emily, and David. In Mia's words: \"it is not the case that (David is a pioneer or Logan is a laggard)\". Logan said that Log... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 366, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"telling-truth\", 1], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]... | {"split": "train", "index": 7034} |
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: Riley, Penelope, James, Michael, and Joseph. Riley stated, \"(Michael is a laggard or James is a laggard) or (Riley is a pioneer if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 367, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\"not\"... | {"split": "train", "index": 7035} |
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: Joseph, Logan, Amelia, Ava, and Lucas. Joseph said that (if Logan is an angel then Ava is a devil) if and only if Lucas is a devil. Logan asserted: \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 368, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 4]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"lying\", 4]], [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 3], ... | {"split": "train", "index": 7036} |
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: Jackson, Evelyn, Jack, Jacob, and Abigail. \"Jack is an angel or Jackson is an angel\" - Jackson. Evelyn stated, \"it is not the case that (Evelyn is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 369, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"not\", [\"telling-tru... | {"split": "train", "index": 7037} |
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, Lucas, Amelia, Isabella, and Scarlett. Evelyn said, \"Amelia is a sage.\" \"(Evelyn is a sage or Isabella is a sage) or (Amelia is a sage if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 370, \"statements\": [[\"not\", [\"lying\", 2]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"<=>\", [\... | {"split": "train", "index": 7038} |
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, Aiden, James, Mia, and Mason. Emily told you that if (James is a fool and James is a sage) then (if James is a sage then Mia is a fool). Aiden said ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 371, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"lying\", 2], [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"or\", [\"lying\", 2], ... | {"split": "train", "index": 7039} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Michael, Aiden, Isabella, Owen, and Sebastian. Michael commented, \"(Aiden is a fool if and only if Sebastian is a fool) or (Owen is a sage)\". Aiden state... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 372, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"not\", ... | {"split": "train", "index": 7040} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sophia, Sebastian, Evelyn, Emily, and James. \"it is not the case that (Emily is a pioneer if and only if Sebastian is a pioneer),\" Sophia cla... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 373, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 0]], [\"lying\", 0]], [\"<=... | {"split": "train", "index": 7041} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Logan, Ethan, Lucas, Aiden, and Liam. \"Lucas is a villain,\" Logan mentioned. According to Ethan, \"(Aiden is a hero or Lucas is a hero) or (Aiden i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 374, \"statements\": [[\"lying\", 2], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 1], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"<=>\"... | {"split": "train", "index": 7042} |
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, Sofia, Sebastian, Amelia, and Alexander. Evelyn noted, \"Amelia is a knight\". Sofia stated, \"(Evelyn is a knave) and (Sebastian is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 375, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"->\", [... | {"split": "train", "index": 7043} |
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, Elizabeth, Sofia, Matthew, and Noah. Olivia commented, \"(Elizabeth is a pioneer if and only if Olivia is a pioneer) and Noah is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 376, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"lying\", 3], [\"not\", [\"->\... | {"split": "train", "index": 7044} |
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, Emily, Zoey, Avery, and Evelyn. Daniel expressed that (if Emily is an angel then Evelyn is a devil) if and only if (Avery is a devil). As Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 377, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 1], [\"not\", [\"not\", [\"te... | {"split": "train", "index": 7045} |
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: Sebastian, Charlotte, Lily, Jack, and William. In a statement by Sebastian: \"(William is a laggard if and only if Sebastian is a pioneer) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 378, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"lying\", 0], [\"->\", [\"and\... | {"split": "train", "index": 7046} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Logan, Avery, Benjamin, Elizabeth, and Liam. Logan remarked, \"Avery is an altruist and (if Avery is an egoist then Liam is an egoist)\". Avery... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 379, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"and... | {"split": "train", "index": 7047} |
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, Lucas, Elizabeth, Logan, and Lily. Avery noted, \"if (Lily is a hero or Elizabeth is a hero) then (Logan is a hero and Lily is a hero)\". \"Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 380, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 4], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], ... | {"split": "train", "index": 7048} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Chloe, Ethan, Evelyn, Michael, and Samuel. Chloe noted, \"it is not the case that (Evelyn is a fool and Evelyn is a sage)\". Ethan commented, \"(if Chloe i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 381, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\",... | {"split": "train", "index": 7049} |
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, Emma, Luke, Mia, and David. Ella stated, \"it is not the case that (Mia is a fool and David is a fool)\". In a statement by Emma: \"Mia is a fool and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 382, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\... | {"split": "train", "index": 7050} |
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, Michael, Lily, Elizabeth, and Olivia. Liam expressed that Michael is a saint. Michael was heard saying, \"(if Elizabeth is a sinner then Elizab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 383, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 1]], [\"->\",... | {"split": "train", "index": 7051} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: James, Sofia, Mia, Aiden, and Mason. James commented, \"Mia is a hero\". \"(Mia is a villain or James is a hero) and (Mason is a hero),\" Sofia menti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 384, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"<=>\", [\"telling-tr... | {"split": "train", "index": 7052} |
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, Olivia, Emma, Evelyn, and Lily. According to Luke, \"(Evelyn is a knight if and only if Emma is a knave) and (Lily is a knave if and only if Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 385, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"lying\", 0], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"te... | {"split": "train", "index": 7053} |
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: Luke, Olivia, Sebastian, Chloe, and Harper. Luke asserted: \"(Sebastian is a saint) if and only if (Harper is a saint and Harper is a sinner)\". \"(S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 386, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3... | {"split": "train", "index": 7054} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Samuel, Aria, Scarlett, Jacob, and Olivia. \"it is not the case that (Aria is a pioneer and Scarlett is a pioneer),\" Samuel claimed. In Aria's... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 387, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"lying\", 2]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lyin... | {"split": "train", "index": 7055} |
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: Victoria, Lily, Scarlett, Jackson, and Aurora. Victoria expressed that Jackson is a knight. According to Lily, \"(Victoria is a knave and Victoria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 388, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\",... | {"split": "train", "index": 7056} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Victoria, Sofia, Isabella, Harper, and Grace. \"(if Isabella is an altruist then Victoria is an altruist) if and only if Isabella is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 389, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"tell... | {"split": "train", "index": 7057} |
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: Ethan, Jack, Charlotte, Scarlett, and Ava. \"Ava is a laggard and (if Jack is a pioneer then Scarlett is a pioneer),\" Ethan mentioned. Jack no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 390, \"statements\": [[\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"telling-truth\", 1], [\"or\", [\"or\",... | {"split": "train", "index": 7058} |
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: Liam, Harper, Chloe, Sophia, and Owen. Liam commented, \"(Owen is a pioneer or Chloe is a pioneer) if and only if (if Harper is a pioneer then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 391, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", ... | {"split": "train", "index": 7059} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jacob, Mason, Sophia, Liam, and Avery. In Jacob's words: \"it is not the case that (Sophia is a fool)\". In Mason's words: \"if (Avery is a sage or Jacob i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 392, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\"... | {"split": "train", "index": 7060} |
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, Avery, Grace, Sebastian, and Jack. \"Grace is a pioneer,\" Aiden mentioned. Avery told you that if (if Avery is a pioneer then Jack is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 393, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 3]],... | {"split": "train", "index": 7061} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Oliver, Emma, Sofia, James, and Sophia. In Oliver's words: \"Sofia is an altruist\". Emma stated, \"(Sophia is an altruist or Sofia is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 394, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 4]], [\"->\", [\"or\"... | {"split": "train", "index": 7062} |
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, Logan, Jacob, Lily, and Scarlett. Samuel was heard saying, \"Scarlett is a knight\". Logan asserted: \"if (Samuel is a knave if and only if S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 395, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"and... | {"split": "train", "index": 7063} |
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, Alexander, Zoey, Olivia, and Sophia. Daniel remarked, \"(if Olivia is a knave then Daniel is a knight) if and only if (if Alexander is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 396, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"lying\", 0], [\"<=>\", [\"lying\", 1], [\"not\", [\"lying\", 0]]], [\"and\", [\"or\", [\"t... | {"split": "train", "index": 7064} |
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, Matthew, Aria, Grace, and David. \"(Matthew is an egoist and Grace is an altruist) and (Aiden is an altruist if and only if Aria is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 397, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"te... | {"split": "train", "index": 7065} |
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: Jacob, James, Liam, Lucas, and Mia. \"Lucas is a knight,\" Jacob mentioned. \"Liam is a knight\" - James. \"(if Mia is a knave then Lucas is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 398, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 2], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling... | {"split": "train", "index": 7066} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Emily, Aiden, Aurora, and Matthew. In Michael's words: \"(Emily is a sinner if and only if Matthew is a sinner) and (Matthew is a sinner if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 399, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]], [\"telling-truth\", 4]], [\"and\", [\"or\", [\"l... | {"split": "train", "index": 7067} |
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, Amelia, Lucas, Alexander, and Ella. Riley noted, \"if (Lucas is a hero if and only if Amelia is a villain) then (Alexander is a hero and Riley... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 400, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telli... | {"split": "train", "index": 7068} |
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: Zoey, Jackson, Joseph, Emma, and Sofia. In a statement by Zoey: \"Sofia is a knave if and only if (Joseph is a knight or Sofia is a knight)\". \"if E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 401, \"statements\": [[\"<=>\", [\"lying\", 4], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 1], [... | {"split": "train", "index": 7069} |
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, Jacob, Abigail, Samuel, and Alexander. In Daniel's words: \"(if Jacob is a knight then Abigail is a knave) and (Samuel is a knight if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 402, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3]... | {"split": "train", "index": 7070} |
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, Samuel, Charlotte, Logan, and Luke. Jackson told you that if (Logan is a laggard) then (Luke is a pioneer and Charlotte is a laggard).... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 403, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"and\", [\"<=>\",... | {"split": "train", "index": 7071} |
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, Joseph, Jacob, Noah, and Samuel. \"it is not the case that (Noah is a fool)\" - Emily. In Joseph's words: \"Samuel is a sage\". Jacob stated, \"Noah... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 404, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]],... | {"split": "train", "index": 7072} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: David, Chloe, Grace, Aria, and Samuel. \"(Aria is a laggard and Grace is a pioneer) or (Chloe is a laggard and Aria is a laggard)\" - David. \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 405, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"or\", [\"... | {"split": "train", "index": 7073} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Henry, Aria, Isabella, Jackson, and Zoey. Henry stated, \"Jackson is a fool\". Aria remarked, \"(if Zoey is a fool then Jackson is a fool) or Zoey is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 406, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 4]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 3]]], ... | {"split": "train", "index": 7074} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sophia, Ella, Jack, Matthew, and Noah. \"Matthew is an egoist and (Sophia is an altruist and Ella is an altruist)\" - Sophia. According to Ella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 407, \"statements\": [[\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 2], [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"te... | {"split": "train", "index": 7075} |
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: Riley, Benjamin, Mason, Joseph, and Ethan. \"(Mason is a sage or Joseph is a fool) if and only if (Mason is a sage),\" Riley declared. \"(Joseph is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 408, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 0], ... | {"split": "train", "index": 7076} |
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, Joseph, Amelia, James, and Aria. Emma asserted: \"(if Aria is a fool then Aria is a sage) if and only if James is a sage\". Joseph noted, \"Amelia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 409, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"telling-truth\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 7077} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Olivia, Abigail, Ava, Charlotte, and James. Olivia stated, \"Abigail is an altruist or (Charlotte is an egoist)\". In a statement by Abigail: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 410, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"te... | {"split": "train", "index": 7078} |
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: Benjamin, Emily, Alexander, Sofia, and Harper. In a statement by Benjamin: \"Alexander is a fool\". Emily remarked, \"Benjamin is a sage\". Alexander told ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 411, \"statements\": [[\"lying\", 2], [\"telling-truth\", 0], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"or\", [\"not\", [\"lying\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]],... | {"split": "train", "index": 7079} |
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, Abigail, Ella, Benjamin, and Jack. Ava asserted: \"Ava is a knight and (Ella is a knave and Jack is a knight)\". In Abigail's words: \"(Benjamin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 412, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"tel... | {"split": "train", "index": 7080} |
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, Chloe, Jackson, Grace, and Olivia. As Zoey put it, \"Chloe is a hero\". \"(if Jackson is a villain then Olivia is a villain) and (Jackson is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 413, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"... | {"split": "train", "index": 7081} |
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: Sophia, Olivia, Harper, Victoria, and Oliver. In a statement by Sophia: \"(Olivia is a saint or Harper is a saint) or Oliver is a sinner\". \"(if Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 414, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 4]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\"... | {"split": "train", "index": 7082} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ava, Jacob, Matthew, Harper, and Logan. In a statement by Ava: \"Harper is an angel or (Jacob is a devil or Harper is a devil)\". Jacob said, \"(Ava is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 415, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"or\... | {"split": "train", "index": 7083} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sofia, Isabella, Jackson, Mia, and Emma. \"if (Jackson is a villain) then (Emma is a hero if and only if Isabella is a villain)\" - Sofia. Isabella n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 416, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"telling-truth\", 4], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"t... | {"split": "train", "index": 7084} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emma, Luke, Riley, Aurora, and Evelyn. \"(if Emma is a pioneer then Aurora is a pioneer) or (Evelyn is a laggard or Emma is a pioneer),\" Emma ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 417, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]],... | {"split": "train", "index": 7085} |
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, Jack, William, Matthew, and Owen. Isabella remarked, \"(Jack is a devil) or (Jack is a devil and Isabella is an angel)\". As Jack put it, \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 418, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 0], [\"telling-trut... | {"split": "train", "index": 7086} |
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: Jack, Evelyn, Elizabeth, Abigail, and Aria. \"(Elizabeth is an egoist or Abigail is an altruist) if and only if (Abigail is an altruist or Evel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 419, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"not\", [\"lyin... | {"split": "train", "index": 7087} |
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: Isabella, Jack, James, Charlotte, and Abigail. As Isabella put it, \"(James is a saint if and only if Jack is a sinner) and (Jack is a sinner and Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 420, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3]... | {"split": "train", "index": 7088} |
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: Isabella, Mia, Alexander, Chloe, and Olivia. \"(Chloe is a knave or Alexander is a knight) or (Mia is a knave and Alexander is a knave)\" - Isabella.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 421, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-... | {"split": "train", "index": 7089} |
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, Henry, Joseph, James, and Charlotte. Victoria was heard saying, \"Joseph is a villain\". Henry told you that (Henry is a hero or Joseph is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 422, \"statements\": [[\"lying\", 2], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lyin... | {"split": "train", "index": 7090} |
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, Sebastian, Joseph, Ava, and Aiden. According to Lily, \"(Joseph is an angel and Ava is a devil) and (Aiden is an angel or Joseph is an angel)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 423, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"telling-t... | {"split": "train", "index": 7091} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Samuel, Penelope, Scarlett, Joseph, and David. As Samuel put it, \"(Scarlett is a fool) if and only if (David is a sage and Scarlett is a fool)\". Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 424, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"a... | {"split": "train", "index": 7092} |
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: Matthew, Ava, Michael, Ella, and Owen. Matthew expressed that if (Owen is a knight and Michael is a knave) then (Owen is a knight and Ella is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 425, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"tell... | {"split": "train", "index": 7093} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Michael, Aurora, Jacob, Zoey, and Noah. Michael commented, \"(Zoey is a fool or Noah is a sage) and (if Aurora is a sage then Jacob is a sage)\". Aurora sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 426, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth... | {"split": "train", "index": 7094} |
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: Elizabeth, Ava, Jacob, Jackson, and Harper. Elizabeth said, \"if (Ava is an egoist and Ava is an altruist) then (Harper is an altruist if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 427, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\... | {"split": "train", "index": 7095} |
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, Samuel, Ella, Olivia, and Aria. \"(Samuel is a knight) if and only if (Riley is a knight or Olivia is a knight),\" Riley claimed. Samuel asser... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 428, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"telling-truth\", 3], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0],... | {"split": "train", "index": 7096} |
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, Mia, Grace, Emma, and Aria. Riley was heard saying, \"it is not the case that (if Grace is a villain then Riley is a hero)\". \"Aria is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 429, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 4], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"not\", [... | {"split": "train", "index": 7097} |
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: Jack, Aria, Victoria, Samuel, and Emily. In Jack's words: \"it is not the case that (Jack is an altruist if and only if Victoria is an egoist)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 430, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"lying\", 3]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not... | {"split": "train", "index": 7098} |
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: Scarlett, Luke, Emma, David, and Sofia. Scarlett asserted: \"Emma is a devil\". In a statement by Luke: \"it is not the case that (Scarlett is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 431, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"ly... | {"split": "train", "index": 7099} |
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