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: Emily, Oliver, Evelyn, Daniel, and Aiden. In a statement by Emily: \"Oliver is a pioneer\". Oliver remarked, \"if Oliver is a pioneer then (Aid... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 610, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"telling-truth\", 1], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [... | {"split": "train", "index": 9500} |
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, Aiden, Chloe, Emily, and Grace. Emma asserted: \"(Grace is a laggard if and only if Grace is a pioneer) if and only if (if Emma is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 611, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-tru... | {"split": "train", "index": 9501} |
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: Isabella, Logan, Mia, Chloe, and Abigail. As Isabella put it, \"(Mia is a laggard if and only if Abigail is a pioneer) or (Logan is a pioneer)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 612, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-trut... | {"split": "train", "index": 9502} |
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, Aria, Noah, Avery, and Luke. Matthew commented, \"it is not the case that (Luke is a knight if and only if Luke is a knave)\". \"if (if Matt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 613, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"lying\", 1]], [\"or\", [\"o... | {"split": "train", "index": 9503} |
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: Mia, Scarlett, Benjamin, David, and Sebastian. Mia remarked, \"Benjamin is a knave\". \"(Mia is a knight or Mia is a knave or Benjamin is a knave) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 614, \"statements\": [[\"lying\", 2], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"or\", [\"lying\", 1], [\"or\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 9504} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sofia, Riley, Zoey, Michael, and Avery. As Sofia put it, \"(Avery is an altruist or Riley is an egoist or Zoey is an altruist) and (Zoey is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 615, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\... | {"split": "train", "index": 9505} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Logan, Penelope, Grace, and Harper. \"Logan is a knave,\" Charlotte claimed. In Logan's words: \"(Harper is a knave and Penelope is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 616, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"<... | {"split": "train", "index": 9506} |
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, Olivia, Avery, William, and Aurora. \"(Avery is a hero) and (if Olivia is a villain then William is a villain) and (Olivia is a villain if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 617, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 0]... | {"split": "train", "index": 9507} |
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: Elizabeth, Liam, Logan, Abigail, and Aria. \"Abigail is a villain,\" Elizabeth claimed. Liam asserted: \"it is not the case that (Aria is a hero or A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 618, \"statements\": [[\"lying\", 3], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\"... | {"split": "train", "index": 9508} |
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, Aiden, Liam, Sofia, and Mason. Jack told you that if (Mason is an angel) then (if Liam is an angel then Aiden is a devil). Aiden stated, \"if (So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 619, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]]... | {"split": "train", "index": 9509} |
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: Sebastian, Victoria, Luke, Jackson, and Sophia. Sebastian stated, \"Jackson is a fool\". Victoria remarked, \"if (Luke is a fool) then (Luke is a fool or V... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 620, \"statements\": [[\"lying\", 3], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"an... | {"split": "train", "index": 9510} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Daniel, Emily, Henry, Amelia, and Aria. \"Henry is an altruist,\" Daniel mentioned. Emily said, \"it is not the case that (Henry is an egoist i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 621, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"lying\", 2], [\... | {"split": "train", "index": 9511} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Emma, Elizabeth, Liam, and Isabella. \"if (Isabella is a knight if and only if Liam is a knight) then (if Isabella is a knave then Emma is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 622, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"lyin... | {"split": "train", "index": 9512} |
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, Oliver, Benjamin, Liam, and Zoey. Joseph said, \"(Liam is a sinner) if and only if (Joseph is a saint and Zoey is a sinner and Oliver is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 623, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"... | {"split": "train", "index": 9513} |
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: Mia, Ethan, Jacob, Michael, and Alexander. \"if (Michael is a knight) then (Ethan is a knave),\" Mia claimed. Ethan was heard saying, \"Michael is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 624, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"tel... | {"split": "train", "index": 9514} |
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, Ava, Mia, Benjamin, and Grace. \"(Grace is a laggard if and only if Jackson is a pioneer) or (if Benjamin is a pioneer then Mia is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 625, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], ... | {"split": "train", "index": 9515} |
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, Benjamin, Sebastian, Jackson, and Victoria. In Isabella's words: \"Benjamin is a knight\". In a statement by Benjamin: \"it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 626, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"<=>\",... | {"split": "train", "index": 9516} |
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, Mason, Ethan, Ella, and Emily. As Emma put it, \"(Ethan is a sage and Ethan is a fool and Emily is a fool) and Mason is a sage\". Mason stated, \"it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 627, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 1]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"... | {"split": "train", "index": 9517} |
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, Lily, Henry, Abigail, and Benjamin. In Lucas's words: \"it is not the case that (if Abigail is an egoist then Lucas is an altruist)\". L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 628, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 3], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", ... | {"split": "train", "index": 9518} |
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, Alexander, Ava, Isabella, and Zoey. Elizabeth told you that if (Ava is an altruist or Elizabeth is an altruist or Alexander is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 629, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\"... | {"split": "train", "index": 9519} |
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, William, Daniel, Riley, and Jackson. James remarked, \"(Riley is a hero or Riley is a villain or Daniel is a hero) and (Jackson is a villain) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 630, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 2... | {"split": "train", "index": 9520} |
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, Aurora, Jacob, Avery, and Lily. Luke remarked, \"if (if Lily is a devil then Jacob is a devil) then (Luke is an angel if and only if Avery is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 631, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"lying\", 4], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"or\", [\"or\... | {"split": "train", "index": 9521} |
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, Grace, Ethan, Avery, and Liam. Harper asserted: \"(Harper is an egoist) if and only if (Ethan is an altruist if and only if Ethan is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 632, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"lyi... | {"split": "train", "index": 9522} |
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: Mia, Daniel, Ella, Benjamin, and Lily. Mia remarked, \"(Ella is a knight and Lily is a knight) and (Benjamin is a knight or Ella is a knave) and Dani... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 633, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"lying\", 1]], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\"... | {"split": "train", "index": 9523} |
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, Sophia, Isabella, James, and Mia. David remarked, \"(if James is a pioneer then Sophia is a laggard) and (Mia is a pioneer or James is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 634, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 9524} |
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: Owen, Sophia, Ethan, Liam, and Jacob. \"(Owen is an altruist if and only if Liam is an egoist) if and only if (Sophia is an altruist),\" Owen m... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 635, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\", 3]], [\"not... | {"split": "train", "index": 9525} |
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, Abigail, Logan, Emma, and Aria. \"(Penelope is an angel if and only if Aria is an angel) if and only if (Aria is a devil or Logan is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 636, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 0], [\... | {"split": "train", "index": 9526} |
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: Sebastian, Lucas, Noah, Luke, and Michael. Sebastian remarked, \"if (Michael is a sage if and only if Noah is a sage) then (if Lucas is a sage then Noah is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 637, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"telling-truth\", 0], [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"not\",... | {"split": "train", "index": 9527} |
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, Sebastian, Abigail, Aiden, and Emma. \"if (Aiden is an altruist) then (if Abigail is an altruist then Aiden is an altruist),\" Matthew... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 638, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lyin... | {"split": "train", "index": 9528} |
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, Benjamin, Jack, Chloe, and Oliver. \"Chloe is an altruist,\" Victoria declared. Benjamin stated, \"Oliver is an egoist or (Jack is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 639, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"lying\", 4], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [... | {"split": "train", "index": 9529} |
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, Lily, Aria, Henry, and Matthew. Ava told you that if (if Matthew is an angel then Matthew is a devil) then (if Matthew is a devil then Aria is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 640, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"telling-truth\", 4], [\"not\", [\"lying\", 3]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telli... | {"split": "train", "index": 9530} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Avery, Henry, Lucas, and Noah. \"(Noah is a villain and Avery is a hero) if and only if (Joseph is a hero or Noah is a hero or Lucas is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 641, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 4], [\"tellin... | {"split": "train", "index": 9531} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Benjamin, Matthew, Charlotte, Chloe, and David. In Benjamin's words: \"(if Chloe is a devil then Charlotte is a devil) and (David is an angel or Benjam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 642, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], ... | {"split": "train", "index": 9532} |
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: Isabella, Victoria, Sophia, Alexander, and William. In Isabella's words: \"Victoria is a laggard\". Victoria was heard saying, \"Sophia is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 643, \"statements\": [[\"lying\", 1], [\"or\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 0]]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\",... | {"split": "train", "index": 9533} |
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, Daniel, Ella, Aurora, and Owen. According to Ava, \"(if Ella is a knave then Ella is a knight) or (Owen is a knave if and only if Ella is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 644, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]... | {"split": "train", "index": 9534} |
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, Avery, Evelyn, Sophia, and Daniel. \"(Sophia is an altruist and Daniel is an egoist) if and only if (Sophia is an altruist and Daniel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 645, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [... | {"split": "train", "index": 9535} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Victoria, Emma, Scarlett, Lucas, and Chloe. In Victoria's words: \"(Chloe is a laggard and Lucas is a laggard and Scarlett is a pioneer) or Luc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 646, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 3], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 4]], [\"telling-trut... | {"split": "train", "index": 9536} |
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: Isabella, Emily, Olivia, Evelyn, and Benjamin. \"it is not the case that (Emily is a laggard or Evelyn is a laggard or Olivia is a laggard),\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 647, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lyi... | {"split": "train", "index": 9537} |
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: Mia, Isabella, Emily, Lily, and Matthew. Mia noted, \"Isabella is a knight\". As Isabella put it, \"if (if Matthew is a knight then Lily is a knave) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 648, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 9538} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Michael, Chloe, James, and Oliver. Emma commented, \"James is an egoist\". Michael was heard saying, \"(Emma is an egoist and James is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 649, \"statements\": [[\"lying\", 3], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 0], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 9539} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Chloe, Michael, Henry, Victoria, and Oliver. Chloe remarked, \"Victoria is a pioneer\". As Michael put it, \"Oliver is a pioneer\". Henry expre... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 650, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 3]], [\"lying\", 4], [\"lying\", 2]], \"solution\": [false, true, false, fa... | {"split": "train", "index": 9540} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mia, Sophia, Sofia, Daniel, and Zoey. Mia commented, \"Zoey is a sinner or (Zoey is a sinner and Daniel is a sinner and Zoey is a saint)\". Sophia as... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 651, \"statements\": [[\"or\", [\"lying\", 4], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 0]]], [\"telling-truth\", 1], [\"<=>\", ... | {"split": "train", "index": 9541} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: William, Aria, Benjamin, Jackson, and Harper. In a statement by William: \"(Harper is a villain) and (Aria is a hero if and only if William is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 652, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"tell... | {"split": "train", "index": 9542} |
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, Daniel, Lily, Alexander, and Aiden. Logan said that (Daniel is an altruist if and only if Aiden is an egoist) if and only if (if Aiden i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 653, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"tell... | {"split": "train", "index": 9543} |
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, David, Noah, Ella, and Sebastian. According to Sofia, \"(Ella is a laggard if and only if David is a laggard) and (if Noah is a laggard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 654, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"lying\", 2]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]... | {"split": "train", "index": 9544} |
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: Emma, Aiden, William, Michael, and Sophia. In a statement by Emma: \"(Emma is a knave) and William is a knight\". \"(Aiden is a knight or William is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 655, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth... | {"split": "train", "index": 9545} |
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, Aria, David, Liam, and Elizabeth. Jackson said that if (Liam is an angel and Elizabeth is a devil) then (Liam is an angel or Jackson is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 656, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 3], ... | {"split": "train", "index": 9546} |
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, Jackson, Samuel, Mia, and Liam. Lily remarked, \"(Mia is a laggard or Lily is a pioneer or Jackson is a pioneer) if and only if (Liam is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 657, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 0], [\"telling-tru... | {"split": "train", "index": 9547} |
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: Daniel, Chloe, Victoria, Sofia, and Sophia. Daniel expressed that if (Sophia is a laggard) then (Sofia is a pioneer or Chloe is a laggard). Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 658, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\"... | {"split": "train", "index": 9548} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Matthew, Daniel, Logan, and Samuel. Penelope expressed that Samuel is a knave. Matthew was heard saying, \"if (Penelope is a knight) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 659, \"statements\": [[\"lying\", 4], [\"->\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 0], [\"lying\", 3]]]... | {"split": "train", "index": 9549} |
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, James, Emma, Lily, and Olivia. \"Lily is a laggard if and only if (if Lily is a pioneer then Emma is a laggard)\" - Samuel. \"if (Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 660, \"statements\": [[\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 1]], [\"and\", [\"or\", ... | {"split": "train", "index": 9550} |
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, Daniel, Jacob, Victoria, and David. Harper asserted: \"Daniel is an egoist or (Victoria is an egoist if and only if Jacob is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 661, \"statements\": [[\"or\", [\"lying\", 1], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 3]]], ... | {"split": "train", "index": 9551} |
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, Grace, Samuel, Alexander, and Sofia. According to Noah, \"(Grace is a villain) if and only if (if Sofia is a hero then Sofia is a villain)\". I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 662, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"lying\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-t... | {"split": "train", "index": 9552} |
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: Noah, Isabella, Riley, David, and Chloe. Noah noted, \"(if Chloe is an altruist then Riley is an altruist) and (Chloe is an egoist) and David i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 663, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"telling-truth\", 3], [\... | {"split": "train", "index": 9553} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Zoey, Michael, Aurora, and Sophia. Jack remarked, \"(Aurora is a sinner or Zoey is a saint) or (Sophia is a sinner and Michael is a saint and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 664, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-trut... | {"split": "train", "index": 9554} |
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, Logan, William, and Lucas. Emma commented, \"it is not the case that (Samuel is an angel or William is an angel or Logan is an angel)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 665, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"lyin... | {"split": "train", "index": 9555} |
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, Abigail, Emma, Oliver, and Sofia. Evelyn noted, \"Oliver is a hero\". According to Abigail, \"(Oliver is a hero if and only if Abigail is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 666, \"statements\": [[\"not\", [\"lying\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"tel... | {"split": "train", "index": 9556} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Benjamin, Victoria, Scarlett, Jackson, and James. As Benjamin put it, \"(Jackson is a devil or Scarlett is a devil or James is a devil) or (if Victoria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 667, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 9557} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mia, Aurora, James, Aiden, and Owen. \"if (Aiden is a villain and James is a hero and Aurora is a hero) then Aurora is a villain,\" Mia declared. In ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 668, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 1]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-t... | {"split": "train", "index": 9558} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Oliver, Logan, Penelope, and Abigail. As Emma put it, \"it is not the case that (Oliver is an egoist)\". Oliver said that Logan is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 669, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"lying\", 2], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 9559} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Penelope, Evelyn, Mia, Lily, and William. Penelope was heard saying, \"(Evelyn is a sage) or (if Evelyn is a fool then Lily is a sage) or (Mia is a sage an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 670, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]... | {"split": "train", "index": 9560} |
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, Sofia, Mason, Owen, and Charlotte. \"(Charlotte is a sinner) or (Sofia is a sinner or Mason is a saint or Charlotte is a saint),\" Sophia dec... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 671, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"telling-truth\", 4]], [\"and\",... | {"split": "train", "index": 9561} |
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: Sebastian, Owen, Emma, Lucas, and David. Sebastian said, \"if (Emma is a devil) then (David is a devil and Emma is an angel).\" Owen stated, \"(Emma is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 672, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 0], [\"lying\", 3]]], [\"or... | {"split": "train", "index": 9562} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Benjamin, Ella, Lily, Logan, and Samuel. Benjamin told you that if (Logan is an altruist) then (Ella is an egoist and Samuel is an egoist and E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 673, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"->\... | {"split": "train", "index": 9563} |
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, Liam, Sebastian, Jack, and Aurora. \"(Sebastian is a hero if and only if Aurora is a villain) or (Aurora is a villain),\" Jackson declared. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 674, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"lying\", 2], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"tel... | {"split": "train", "index": 9564} |
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, Chloe, Aria, Jack, and Amelia. \"(Chloe is a laggard and Aria is a laggard and Evelyn is a pioneer) if and only if (if Aria is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 675, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]],... | {"split": "train", "index": 9565} |
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, Aria, Chloe, Matthew, and Benjamin. Jack was heard saying, \"(Chloe is a sage and Matthew is a fool) or (Aria is a sage or Benjamin is a sage or Chlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 676, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\",... | {"split": "train", "index": 9566} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Matthew, Isabella, Riley, and Aria. Logan commented, \"if (if Aria is a knave then Matthew is a knave) then (Logan is a knight and Riley is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 677, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 4]]],... | {"split": "train", "index": 9567} |
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, Scarlett, Penelope, Elizabeth, and Henry. Amelia stated, \"(Scarlett is a sage and Penelope is a fool) if and only if Scarlett is a fool\". Scarlet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 678, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"lying\", 1]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\"... | {"split": "train", "index": 9568} |
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: Ava, Owen, Isabella, Noah, and Joseph. Ava told you that if (Joseph is a fool or Isabella is a sage or Owen is a sage) then (Joseph is a fool and Owen is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 679, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"lying\", 3], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\... | {"split": "train", "index": 9569} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ella, Michael, Samuel, Sebastian, and Alexander. Ella commented, \"(Sebastian is a laggard and Ella is a pioneer and Michael is a laggard) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 680, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 4]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0], [... | {"split": "train", "index": 9570} |
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: Luke, Mason, Emma, Amelia, and Lily. Luke expressed that if Luke is a sage then (if Mason is a fool then Mason is a sage). As Mason put it, \"it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 681, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"telling-truth\", 4], [\"or\", [\"not\", [\"lying\", 1]],... | {"split": "train", "index": 9571} |
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: Jacob, David, Mason, Grace, and Jack. Jacob told you that if (David is an altruist) then Mason is an altruist. David remarked, \"(Mason is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 682, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"or\", [\"lying\", 3], [\"<=... | {"split": "train", "index": 9572} |
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, Avery, Aurora, Liam, and Zoey. Lily said, \"(Avery is a hero and Liam is a villain and Zoey is a villain) and (Zoey is a hero or Aurora is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 683, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"ly... | {"split": "train", "index": 9573} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ava, Isabella, Chloe, Aiden, and Matthew. \"Aiden is an altruist,\" Ava declared. According to Isabella, \"(Ava is an egoist and Aiden is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 684, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 0]]... | {"split": "train", "index": 9574} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Harper, Ella, Liam, Michael, and Benjamin. Harper asserted: \"Michael is a hero\". \"(Michael is a villain if and only if Michael is a hero) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 685, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"lying\", 1], [\"telling-truth\", 0], [\"->\", [\"and\", ... | {"split": "train", "index": 9575} |
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, Amelia, Elizabeth, Olivia, and Victoria. As Sofia put it, \"(Amelia is a pioneer if and only if Elizabeth is a laggard) or Amelia is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 686, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"lying\", 1]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"telling-trut... | {"split": "train", "index": 9576} |
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, Sebastian, David, Chloe, and Sophia. In a statement by Riley: \"(if Chloe is a knave then David is a knight) if and only if (if Chloe is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 687, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth... | {"split": "train", "index": 9577} |
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, Amelia, Jackson, Charlotte, and Sophia. William stated, \"Sophia is an altruist if and only if (Sophia is an egoist if and only if Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 688, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", ... | {"split": "train", "index": 9578} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Riley, Alexander, Michael, Avery, and Grace. In a statement by Riley: \"(if Riley is an angel then Alexander is a devil) or (Avery is a devil)\". Alexa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 689, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"te... | {"split": "train", "index": 9579} |
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, Evelyn, Avery, Sebastian, and Benjamin. \"if (if Evelyn is an egoist then Sebastian is an egoist) then (Avery is an egoist),\" William... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 690, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling... | {"split": "train", "index": 9580} |
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, Ella, Charlotte, Riley, and Victoria. Grace was heard saying, \"(Ella is a devil or Victoria is a devil or Ella is an angel) or (Ella is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 691, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"lying\", 4], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]],... | {"split": "train", "index": 9581} |
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, Jacob, Ethan, Noah, and Riley. Emma noted, \"Riley is an angel if and only if Emma is an angel\". \"(Riley is an angel or Noah is an angel) or (N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 692, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"->\", [\"not\",... | {"split": "train", "index": 9582} |
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, Michael, Evelyn, James, and Oliver. Jackson told you that it is not the case that (if Evelyn is a hero then Evelyn is a villain). Michael st... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 693, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 9583} |
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, Aurora, Harper, Emma, and Amelia. Sofia noted, \"Emma is a villain\". In a statement by Aurora: \"it is not the case that (Emma is a villain o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 694, \"statements\": [[\"lying\", 3], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"l... | {"split": "train", "index": 9584} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Avery, Ella, Luke, and Charlotte. As Alexander put it, \"Charlotte is a knave if and only if (Luke is a knave)\". Avery asserted: \"(Ella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 695, \"statements\": [[\"<=>\", [\"lying\", 4], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"lyi... | {"split": "train", "index": 9585} |
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, Lily, Elizabeth, Oliver, and Ella. \"(Lily is a pioneer) or Elizabeth is a pioneer,\" Ethan claimed. \"(Ella is a pioneer and Ethan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 696, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 0], [\... | {"split": "train", "index": 9586} |
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, Isabella, Charlotte, James, and Jacob. Riley said, \"if (Jacob is a sage or Jacob is a fool or James is a sage) then Jacob is a sage.\" In a stateme... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 697, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling... | {"split": "train", "index": 9587} |
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, Daniel, Emma, Alexander, and Benjamin. In Liam's words: \"(Emma is a sage or Emma is a fool) and (if Benjamin is a sage then Alexander is a fool) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 698, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-trut... | {"split": "train", "index": 9588} |
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: Olivia, Aria, Chloe, Elizabeth, and Sebastian. Olivia told you that Sebastian is an angel. Aria was heard saying, \"it is not the case that (Olivia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 699, \"statements\": [[\"not\", [\"lying\", 4]], [\"not\", [\"not\", [\"lying\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 4... | {"split": "train", "index": 9589} |
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, Abigail, Sebastian, Liam, and Aiden. \"(if Liam is a laggard then Benjamin is a pioneer) and Aiden is a laggard and Liam is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 700, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 4]]],... | {"split": "train", "index": 9590} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Abigail, Matthew, William, and Oliver. \"if (Matthew is a knight or Oliver is a knave) then (William is a knight or Abigail is a knave)\" - So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 701, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"... | {"split": "train", "index": 9591} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Samuel, Abigail, Avery, Sebastian, and Alexander. Samuel was heard saying, \"(if Sebastian is a pioneer then Abigail is a pioneer) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 702, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\... | {"split": "train", "index": 9592} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Penelope, Jacob, Emily, Owen, and Joseph. Penelope said that Jacob is an altruist. Jacob said, \"if (if Joseph is an egoist then Owen is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 703, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], ... | {"split": "train", "index": 9593} |
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: Oliver, Elizabeth, Aria, Mia, and Daniel. Oliver noted, \"Aria is a sinner\". Elizabeth told you that Elizabeth is a saint if and only if Daniel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 704, \"statements\": [[\"lying\", 2], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [... | {"split": "train", "index": 9594} |
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, Benjamin, Riley, Emma, and Henry. Sofia was heard saying, \"it is not the case that (Emma is a pioneer and Benjamin is a laggard and Ril... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 705, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 0]... | {"split": "train", "index": 9595} |
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: Isabella, Olivia, Jackson, William, and Scarlett. Isabella said that Isabella is a pioneer or Scarlett is a pioneer. Olivia remarked, \"Isabell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 706, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"->\", [\... | {"split": "train", "index": 9596} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Joseph, Elizabeth, Sebastian, Emily, and Aria. Joseph expressed that if (if Emily is an egoist then Elizabeth is an egoist) then (Aria is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 707, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"lying\", 4], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", ... | {"split": "train", "index": 9597} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: William, Liam, Penelope, Oliver, and Emily. William said, \"(Emily is an angel and Emily is a devil and William is an angel) if and only if Emily is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 708, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 9598} |
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: Amelia, Evelyn, Emma, Scarlett, and Luke. In Amelia's words: \"(Evelyn is an altruist if and only if Luke is an altruist) if and only if (Luke ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 709, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 1]]], [\"telling-truth\", 2], [\"<=>\", [\"not\", [\"lying\", 1]], [\"tell... | {"split": "train", "index": 9599} |
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