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 sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Grace, Scarlett, Lily, Oliver, and Joseph. \"(Scarlett is a sage and Scarlett is a fool) if and only if (Oliver is a sage and Grace is a sage)\" - Grace. \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1332, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"telling-truth\", 3]], [\"or\... | {"split": "train", "index": 8000} |
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, Jackson, Logan, Jacob, and Olivia. Liam asserted: \"it is not the case that (if Olivia is a fool then Liam is a sage)\". \"Olivia is a fool,\" Jackso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1333, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"lying\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\... | {"split": "train", "index": 8001} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Matthew, Sebastian, Mia, Abigail, and Alexander. Matthew asserted: \"(Sebastian is a laggard or Abigail is a laggard) if and only if (Mia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1334, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4... | {"split": "train", "index": 8002} |
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: Isabella, Penelope, Noah, Avery, and Lily. \"Isabella is a sage\" - Isabella. Penelope remarked, \"(Noah is a fool or Noah is a sage) and (Isabella is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1335, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 4], [... | {"split": "train", "index": 8003} |
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: William, Avery, Harper, Sofia, and Sophia. \"(Sofia is a knave or Harper is a knight) if and only if (Sofia is a knight if and only if Avery is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1336, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lyi... | {"split": "train", "index": 8004} |
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: Sofia, Emma, Riley, Emily, and Noah. Sofia noted, \"it is not the case that (if Riley is a devil then Emily is a devil)\". Emma remarked, \"(Riley is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1337, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"n... | {"split": "train", "index": 8005} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aurora, Ella, Luke, Victoria, and Ethan. \"Luke is an altruist,\" Aurora claimed. Ella commented, \"it is not the case that (Luke is an egoist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1338, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]... | {"split": "train", "index": 8006} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Oliver, Lucas, Victoria, Luke, and Henry. Oliver commented, \"(Luke is an angel or Oliver is an angel) and (if Henry is an angel then Victoria is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1339, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 3], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"<=>\", [\... | {"split": "train", "index": 8007} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emily, Amelia, Aiden, Oliver, and Charlotte. Emily told you that it is not the case that (Aiden is an altruist or Charlotte is an egoist). Amel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1340, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 1], [\"not\", [\... | {"split": "train", "index": 8008} |
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, Victoria, Jack, Liam, and Emma. \"if Liam is a knight then (Emma is a knave),\" Matthew declared. \"Victoria is a knight and (Victoria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1341, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->... | {"split": "train", "index": 8009} |
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, Jack, Mason, Aiden, and Olivia. Owen told you that (Olivia is a laggard) if and only if (Mason is a pioneer). Jack stated, \"it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1342, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"... | {"split": "train", "index": 8010} |
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: Harper, Benjamin, Emma, Owen, and Daniel. Harper noted, \"(Benjamin is a knave and Emma is a knave) and (Owen is a knight and Emma is a knave)\". Ben... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1343, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"lying\", 3], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-t... | {"split": "train", "index": 8011} |
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, Sofia, Ava, Jackson, and James. \"(James is a villain and Jackson is a villain) and (James is a hero or Logan is a hero),\" Logan mentioned. I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1344, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 0], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not... | {"split": "train", "index": 8012} |
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: Mason, Ella, Samuel, Emily, and Michael. As Mason put it, \"Michael is a fool\". \"(Mason is a sage and Emily is a sage) if and only if (Mason is a sage or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1345, \"statements\": [[\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"lying\", 0], [\"or\", [\"->\", [\"telling-truth\", 0], [\"tellin... | {"split": "train", "index": 8013} |
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, Aurora, Noah, Isabella, and Zoey. In a statement by Victoria: \"(Isabella is an altruist and Isabella is an egoist) if and only if (I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1346, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 0... | {"split": "train", "index": 8014} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Logan, Liam, Grace, David, and Henry. Logan stated, \"Liam is a sinner\". In Liam's words: \"(David is a sinner if and only if Liam is a saint) or Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1347, \"statements\": [[\"lying\", 1], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2],... | {"split": "train", "index": 8015} |
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, Noah, Abigail, Aria, and Jacob. Logan commented, \"Jacob is an egoist\". Noah expressed that it is not the case that (Jacob is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1348, \"statements\": [[\"lying\", 4], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 0], [\"telling-truth\", 0], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"and\", [\"lyin... | {"split": "train", "index": 8016} |
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, Liam, Elizabeth, Scarlett, and Sebastian. \"Daniel is a pioneer,\" Daniel declared. Liam noted, \"(if Sebastian is a pioneer then Eliza... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1349, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\"... | {"split": "train", "index": 8017} |
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, Charlotte, Ella, William, and Michael. Joseph noted, \"Michael is an egoist and (Ella is an egoist and Charlotte is an egoist)\". Charl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1350, \"statements\": [[\"and\", [\"lying\", 4], [\"and\", [\"lying\", 2], [\"lying\", 1]]], [\"lying\", 0], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"telling-truth... | {"split": "train", "index": 8018} |
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: David, Charlotte, Sophia, Grace, and Lily. \"if (if David is a sage then Grace is a fool) then (Charlotte is a sage or Lily is a fool)\" - David. In a stat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1351, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 3]], ... | {"split": "train", "index": 8019} |
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: Henry, Sofia, Daniel, Lucas, and Elizabeth. Henry stated, \"Sofia is a knave\". Sofia was heard saying, \"Elizabeth is a knight\". Daniel said, \"(if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1352, \"statements\": [[\"lying\", 1], [\"not\", [\"lying\", 4]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"<=>\", [\"telling... | {"split": "train", "index": 8020} |
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, Oliver, Noah, Olivia, and James. In a statement by Sebastian: \"(Noah is a laggard) and Oliver is a laggard\". Oliver said that it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1353, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 1]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2... | {"split": "train", "index": 8021} |
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, Sebastian, Harper, Riley, and Lily. Joseph commented, \"it is not the case that (Sebastian is a saint)\". Sebastian remarked, \"if (Riley is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1354, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"telling-truth\", 1], [\"a... | {"split": "train", "index": 8022} |
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: Benjamin, Ella, Alexander, Lucas, and Jacob. As Benjamin put it, \"Ella is a knave\". Ella commented, \"(Jacob is a knight or Alexander is a knight) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1355, \"statements\": [[\"lying\", 1], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]],... | {"split": "train", "index": 8023} |
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, Ethan, Penelope, Logan, and William. Harper told you that if (Harper is an altruist if and only if Penelope is an altruist) then Penelo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1356, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 2]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 8024} |
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: Ava, Charlotte, Olivia, Grace, and James. In Ava's words: \"(Ava is a laggard) or (Grace is a laggard or Ava is a pioneer)\". Charlotte comment... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1357, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [... | {"split": "train", "index": 8025} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Luke, Benjamin, Joseph, and Owen. \"it is not the case that (Luke is a knight and Joseph is a knave),\" Aria declared. According to Luke, \"(Ow... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1358, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 4... | {"split": "train", "index": 8026} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sofia, Jack, Emma, Chloe, and Olivia. In Sofia's words: \"Jack is a sage or (Emma is a sage)\". Jack commented, \"(Olivia is a sage or Emma is a fool) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1359, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"... | {"split": "train", "index": 8027} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Luke, Joseph, Emily, Daniel, and Elizabeth. According to Luke, \"(Joseph is a pioneer or Daniel is a laggard) if and only if (Joseph is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1360, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"lying\", 3], [\"or\", [\"lying\",... | {"split": "train", "index": 8028} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Joseph, Olivia, Luke, and Oliver. Aiden commented, \"(if Olivia is a knight then Oliver is a knight) or (if Oliver is a knave then Olivia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1361, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 1]], [\"... | {"split": "train", "index": 8029} |
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, Luke, Aria, Victoria, and Mason. Harper asserted: \"(if Aria is a villain then Luke is a villain) and (Mason is a villain or Victoria is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1362, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"lying\", 0], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"or\", [\"<=>\", [\"lying\", 4... | {"split": "train", "index": 8030} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Henry, Sofia, Elizabeth, David, and Harper. Henry commented, \"if (Sofia is a pioneer and Elizabeth is a laggard) then (Elizabeth is a laggard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1363, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"lying\", 1], [... | {"split": "train", "index": 8031} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Samuel, Isabella, Benjamin, Luke, and Aria. Samuel said, \"(Isabella is a hero) if and only if (if Benjamin is a villain then Luke is a hero).\" Isab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1364, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0]... | {"split": "train", "index": 8032} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Grace, Owen, David, and Ava. Abigail commented, \"if (David is a saint and Grace is a sinner) then (Owen is a sinner)\". As Grace put it, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1365, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"<=>\", [\"not\", [\"... | {"split": "train", "index": 8033} |
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, Liam, Chloe, Ava, and Avery. Samuel said, \"it is not the case that (Liam is a pioneer and Ava is a pioneer).\" Liam noted, \"(Chloe is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1366, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"not\", [... | {"split": "train", "index": 8034} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Daniel, Evelyn, Jack, and Noah. Avery was heard saying, \"(Jack is a knight and Daniel is a knight) and (Daniel is a knave and Evelyn is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1367, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lyi... | {"split": "train", "index": 8035} |
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, Jacob, Scarlett, Aurora, and Isabella. \"it is not the case that (if Jacob is a fool then Michael is a sage),\" Michael declared. \"Aurora is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1368, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"lying\", 3], [\"or\", [\"telling-truth\", 1], [\"or\",... | {"split": "train", "index": 8036} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Abigail, Avery, Michael, Scarlett, and Matthew. According to Abigail, \"(Michael is an egoist if and only if Michael is an altruist) and Scarle... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1369, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 3]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"or\", [\"n... | {"split": "train", "index": 8037} |
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: Benjamin, Henry, Joseph, David, and Scarlett. \"(Joseph is a knight or Joseph is a knave) and (David is a knave),\" Benjamin mentioned. \"(Henry is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1370, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-tru... | {"split": "train", "index": 8038} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lucas, Elizabeth, Scarlett, Isabella, and Mia. Lucas was heard saying, \"(Scarlett is a fool if and only if Scarlett is a sage) or (Elizabeth is a sage or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1371, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"lyi... | {"split": "train", "index": 8039} |
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, Jackson, Samuel, Lucas, and Olivia. \"(Olivia is a sinner) or Olivia is a saint,\" Sophia mentioned. Jackson said, \"if (Jackson is a saint i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1372, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\",... | {"split": "train", "index": 8040} |
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, Owen, Ella, Ava, and Harper. Joseph said, \"if (Ella is a sinner if and only if Harper is a saint) then (Harper is a saint).\" \"if (Ella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1373, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth... | {"split": "train", "index": 8041} |
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, Joseph, Logan, Samuel, and Aiden. In Noah's words: \"Samuel is a knave if and only if (Logan is a knight or Noah is a knight)\". As Joseph put ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1374, \"statements\": [[\"<=>\", [\"lying\", 3], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], ... | {"split": "train", "index": 8042} |
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, David, Jackson, Sebastian, and Mia. Sofia stated, \"Jackson is a hero\". David asserted: \"Jackson is a villain\". Jackson stated, \"David is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1375, \"statements\": [[\"not\", [\"lying\", 2]], [\"lying\", 2], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 1], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]]], \"solution\": [false, t... | {"split": "train", "index": 8043} |
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, James, Victoria, Jacob, and Lucas. Jack expressed that (if Lucas is a devil then Jacob is a devil) if and only if (Lucas is a devil). James expre... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1376, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]], [\"telling-truth\", 4]], [\"lying\", 1], [\"->\", [\"<... | {"split": "train", "index": 8044} |
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: Owen, Ella, Isabella, Oliver, and Sofia. Owen was heard saying, \"if (Ella is a sinner and Isabella is a sinner) then (if Owen is a saint then Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1377, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]... | {"split": "train", "index": 8045} |
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: Grace, Ethan, Liam, Logan, and Mia. \"(Grace is a pioneer and Ethan is a pioneer) if and only if (Liam is a pioneer or Logan is a pioneer),\" G... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1378, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"t... | {"split": "train", "index": 8046} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Matthew, Henry, Jack, and Victoria. Chloe told you that it is not the case that (Jack is a knave). Matthew said, \"Jack is a knave.\" Henry st... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1379, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"lying\", 3], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 0], [\"telling-... | {"split": "train", "index": 8047} |
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, Amelia, Lily, Samuel, and Alexander. In a statement by Victoria: \"Victoria is a pioneer or (Amelia is a pioneer or Samuel is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1380, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"or\", [\"telli... | {"split": "train", "index": 8048} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Matthew, Lily, Penelope, Jackson, and Amelia. According to Matthew, \"(Penelope is a sage) and (Amelia is a sage)\". Lily noted, \"it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1381, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telling-trut... | {"split": "train", "index": 8049} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sofia, Daniel, Oliver, Michael, and Sebastian. Sofia told you that (Michael is a sinner if and only if Oliver is a saint) if and only if Oliver is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1382, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"lying\", 2]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telli... | {"split": "train", "index": 8050} |
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, Henry, Lucas, Harper, and Ethan. William stated, \"it is not the case that (Lucas is a villain and Henry is a villain)\". In Henry's words: ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1383, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"lying\", 1]]], [\"telling-truth\", 4], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\... | {"split": "train", "index": 8051} |
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: Lucas, Victoria, Sophia, Daniel, and Liam. Lucas told you that it is not the case that (Sophia is a villain if and only if Liam is a hero). Victoria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1384, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"not\"... | {"split": "train", "index": 8052} |
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: Abigail, Emma, Ethan, Alexander, and Ella. Abigail asserted: \"if Emma is a sage then (Ella is a sage or Ethan is a sage)\". Emma was heard saying, \"(if A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1385, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\... | {"split": "train", "index": 8053} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lucas, Penelope, Matthew, Isabella, and Samuel. \"Samuel is a sage,\" Lucas claimed. Penelope was heard saying, \"Lucas is a fool\". Matthew noted, \"Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1386, \"statements\": [[\"telling-truth\", 4], [\"lying\", 0], [\"not\", [\"telling-truth\", 4]], [\"lying\", 0], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\"... | {"split": "train", "index": 8054} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Zoey, Lucas, Isabella, Ava, and Daniel. Zoey told you that (Isabella is a sage or Daniel is a sage) if and only if (Lucas is a sage and Ava is a fool). Luc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1387, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"te... | {"split": "train", "index": 8055} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Owen, Sofia, Luke, Aria, and Ava. \"Sofia is a pioneer,\" Owen mentioned. Sofia commented, \"if (Luke is a laggard) then (Luke is a laggard and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1388, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-tru... | {"split": "train", "index": 8056} |
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: David, Daniel, Chloe, Jack, and Aurora. David stated, \"(Jack is a fool if and only if Jack is a sage) and (Chloe is a sage or Daniel is a sage)\". Daniel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1389, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"lying\", 2], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"or\", [\"lyi... | {"split": "train", "index": 8057} |
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, Riley, Grace, William, and Liam. \"if (Liam is a knave or William is a knave) then (William is a knave and William is a knight)\" - Jack. \"Gra... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1390, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 2], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 0], [\"or\", [\"lying\", 4], [\... | {"split": "train", "index": 8058} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mia, Matthew, Logan, Jacob, and Evelyn. In a statement by Mia: \"(if Jacob is an altruist then Logan is an egoist) or (if Matthew is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1391, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-tru... | {"split": "train", "index": 8059} |
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: Noah, Lucas, William, Chloe, and Harper. \"it is not the case that (William is a saint or Chloe is a sinner),\" Noah claimed. \"(Noah is a sinner or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1392, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\"... | {"split": "train", "index": 8060} |
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: Aurora, Mia, Aiden, Isabella, and Michael. Aurora said that (Isabella is a fool) and Michael is a sage. \"it is not the case that (Aurora is a fool if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1393, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 0]], [\"<=>\", [\"lying\", 3], [... | {"split": "train", "index": 8061} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Alexander, Zoey, Chloe, Isabella, and Mason. Alexander said, \"it is not the case that (Zoey is a pioneer if and only if Zoey is a laggard).\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1394, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 8062} |
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, Charlotte, Olivia, Alexander, and Victoria. \"Charlotte is a knight,\" Luke claimed. \"(Alexander is a knave if and only if Olivia is a knave) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1395, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 8063} |
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: Henry, David, Alexander, Emily, and Jack. In a statement by Henry: \"Jack is a sinner\". \"(Jack is a sinner or Alexander is a sinner) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1396, \"statements\": [[\"lying\", 4], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"tel... | {"split": "train", "index": 8064} |
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, Harper, Chloe, Isabella, and Aurora. Lucas asserted: \"if (Isabella is an egoist) then Harper is an altruist\". Harper stated, \"(Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1397, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"or\", [\"t... | {"split": "train", "index": 8065} |
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, Jackson, Grace, Lucas, and Avery. According to Sophia, \"(if Grace is an altruist then Avery is an egoist) or (Avery is an altruist if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1398, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lyin... | {"split": "train", "index": 8066} |
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, Jack, Logan, Daniel, and Lucas. \"(Logan is a saint and Daniel is a sinner) and (Lucas is a sinner or Jack is a sinner)\" - Mia. Jack remarked, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1399, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"t... | {"split": "train", "index": 8067} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Henry, Scarlett, Ava, Grace, and Charlotte. As Henry put it, \"it is not the case that (if Ava is a devil then Scarlett is an angel)\". As Scarlett put... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1400, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 3], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"->\... | {"split": "train", "index": 8068} |
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, Victoria, Amelia, Penelope, and Scarlett. In a statement by Riley: \"(Penelope is a laggard and Victoria is a pioneer) if and only if (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1401, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0... | {"split": "train", "index": 8069} |
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, James, Owen, Evelyn, and Emma. Olivia stated, \"Owen is an angel\". \"(Evelyn is a devil or Emma is an angel) if and only if (if Evelyn is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1402, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-trut... | {"split": "train", "index": 8070} |
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: Amelia, Owen, Emma, Alexander, and Lily. \"(Alexander is a hero and Lily is a villain) and (Lily is a villain),\" Amelia claimed. \"it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1403, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 3]... | {"split": "train", "index": 8071} |
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, Owen, Alexander, Liam, and Riley. As Luke put it, \"if Alexander is a sage then (if Liam is a sage then Luke is a sage)\". In Owen's words: \"Luke is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1404, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"lying\", 0], [\"lying\", 1], [\"lying\", 0], [\"lying\", 2]], \"solution\": [true, false, true, false, false... | {"split": "train", "index": 8072} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Sophia, Jacob, Ava, and Mason. \"Mason is a knight,\" Chloe mentioned. Sophia noted, \"it is not the case that (Jacob is a knight if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1405, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"lying\", 0]], [\"telling-truth\", 0], [\"<=>\... | {"split": "train", "index": 8073} |
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, Alexander, Olivia, and Riley. \"(Alexander is a sage) and (if Olivia is a fool then Olivia is a sage),\" Henry claimed. Aria said, \"it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1406, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling... | {"split": "train", "index": 8074} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Scarlett, Isabella, Henry, and Harper. James was heard saying, \"Isabella is a knave\". As Scarlett put it, \"Isabella is a knight\". As Isabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1407, \"statements\": [[\"lying\", 2], [\"telling-truth\", 2], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth... | {"split": "train", "index": 8075} |
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, Alexander, Charlotte, Avery, and Evelyn. \"(Alexander is a villain) or (if Evelyn is a hero then Avery is a hero),\" Joseph declared. Alexand... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1408, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"te... | {"split": "train", "index": 8076} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Logan, Isabella, Jackson, Aiden, and Mia. Logan asserted: \"(if Logan is a saint then Mia is a saint) or (Isabella is a saint)\". As Isabella put it,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1409, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"lying\", 1], [\"or\", [\"or\", [\"ly... | {"split": "train", "index": 8077} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Chloe, Luke, Lucas, and Alexander. Emily said that Emily is a knight and (Chloe is a knight or Luke is a knave). In Chloe's words: \"it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1410, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 1], [\"telling-tru... | {"split": "train", "index": 8078} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Emma, Aria, James, and Samuel. Olivia remarked, \"(James is a saint if and only if Emma is a sinner) and (Aria is a sinner or James is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1411, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"lying\", 2], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"not\", [\"... | {"split": "train", "index": 8079} |
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: Chloe, Scarlett, Amelia, Joseph, and Jacob. As Chloe put it, \"Jacob is a sinner or (Amelia is a saint or Joseph is a saint)\". \"(Amelia is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1412, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", ... | {"split": "train", "index": 8080} |
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: Jackson, Emma, Joseph, Daniel, and Riley. Jackson commented, \"Daniel is a knight\". Emma told you that if (Daniel is a knight) then Jackson is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1413, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"not\", [\"lying\", 3]], [\"lying\", 0]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"not\", [\... | {"split": "train", "index": 8081} |
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: Charlotte, Isabella, Luke, Jacob, and Sophia. Charlotte was heard saying, \"Luke is a villain or (if Jacob is a hero then Isabella is a villain)\". I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1414, \"statements\": [[\"or\", [\"lying\", 2], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"and\", [\"l... | {"split": "train", "index": 8082} |
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, Mia, Charlotte, and Aurora. Zoey told you that if (if Chloe is a hero then Charlotte is a hero) then (Aurora is a villain). \"if (Charlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1415, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0],... | {"split": "train", "index": 8083} |
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: Aurora, Alexander, James, Sofia, and Ava. Aurora said, \"if Alexander is a knave then (Sofia is a knight if and only if Sofia is a knave).\" Alexande... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1416, \"statements\": [[\"->\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"or\", [\"or\... | {"split": "train", "index": 8084} |
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, Grace, Sophia, Matthew, and Aria. Lily said, \"(Aria is an angel) and (Grace is an angel if and only if Grace is a devil).\" Grace remarked, \"if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1417, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"or\", [\"or\", [... | {"split": "train", "index": 8085} |
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: Sophia, Ethan, Owen, James, and Aurora. Sophia noted, \"(if James is a hero then Aurora is a villain) if and only if (Ethan is a villain if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1418, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"tell... | {"split": "train", "index": 8086} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Noah, Penelope, Emily, Charlotte, and Abigail. Noah said that (Noah is a sage or Charlotte is a sage) if and only if (Abigail is a sage and Emily is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1419, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-tr... | {"split": "train", "index": 8087} |
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, Logan, Liam, and Owen. \"Liam is a sage,\" Jacob declared. Mason stated, \"Logan is a fool\". As Logan put it, \"it is not the case that (Mas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1420, \"statements\": [[\"telling-truth\", 3], [\"lying\", 2], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], ... | {"split": "train", "index": 8088} |
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: Isabella, James, Charlotte, Ava, and Sofia. In Isabella's words: \"if (James is a sage or Charlotte is a fool) then (James is a fool and Ava is a sage)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1421, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\"... | {"split": "train", "index": 8089} |
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: Aurora, Henry, Olivia, William, and Matthew. Aurora asserted: \"(Olivia is a sage if and only if William is a fool) or (Henry is a sage if and only if Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1422, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0... | {"split": "train", "index": 8090} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Charlotte, Isabella, Harper, Avery, and Zoey. \"(Isabella is a laggard if and only if Avery is a pioneer) or (Harper is a pioneer and Avery is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1423, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling... | {"split": "train", "index": 8091} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Alexander, Amelia, Avery, Jackson, and Grace. Alexander remarked, \"it is not the case that (Jackson is an egoist if and only if Jackson is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1424, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\"... | {"split": "train", "index": 8092} |
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: Aurora, Aria, Ella, Henry, and Isabella. Aurora noted, \"(Aria is a devil) and (Henry is an angel)\". Aria stated, \"Aria is an angel\". Ella commented... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1425, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 1], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"not\",... | {"split": "train", "index": 8093} |
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, Sophia, Jackson, Luke, and Samuel. As Sofia put it, \"Luke is a knight\". Sophia said that Jackson is a knight and (Sophia is a knight and Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1426, \"statements\": [[\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"lying\", 3]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]]], [... | {"split": "train", "index": 8094} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Evelyn, Ella, Henry, Jack, and Aria. In Evelyn's words: \"it is not the case that (if Aria is an angel then Henry is an angel)\". \"(Aria is an angel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1427, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"t... | {"split": "train", "index": 8095} |
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, Lucas, Alexander, Evelyn, and Daniel. Joseph remarked, \"it is not the case that (Daniel is a saint or Evelyn is a sinner)\". Lucas commented... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1428, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 1]... | {"split": "train", "index": 8096} |
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, Ava, Samuel, and Mason. In a statement by Jack: \"(Mason is a devil) and (if Ava is an angel then Ava is a devil)\". Alexander said, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1429, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-tr... | {"split": "train", "index": 8097} |
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: David, Aiden, Isabella, Owen, and Harper. David said that (David is a saint if and only if Owen is a saint) and (Isabella is a sinner). \"(Owen is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1430, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-... | {"split": "train", "index": 8098} |
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, Elizabeth, Lily, Jacob, and Evelyn. Liam noted, \"it is not the case that (Lily is a knight if and only if Elizabeth is a knight)\". Elizabeth ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1431, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"... | {"split": "train", "index": 8099} |
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