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 saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Harper, Evelyn, Lily, Elizabeth, and Emma. \"Harper is a saint and ((Emma is a sinner and Evelyn is a saint and Elizabeth is a sinner) and (Evelyn is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1144, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3],... | {"split": "train", "index": 16700} |
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, Aria, Luke, James, and Ella. Logan said, \"Luke is an egoist.\" In Aria's words: \"(if Luke is an egoist then (Luke is an egoist and Ell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1145, \"statements\": [[\"lying\", 2], [\"and\", [\"->\", [\"lying\", 2], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-trut... | {"split": "train", "index": 16701} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jack, Henry, Benjamin, Alexander, and Sofia. \"Alexander is an altruist,\" Jack claimed. Henry said, \"if ((if Sofia is an altruist then Sofia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1146, \"statements\": [[\"not\", [\"lying\", 3]], [\"->\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 0]], [\"not\", [\"lying\", 3]]], [\"and\", [\"and\", [\... | {"split": "train", "index": 16702} |
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, Aurora, Daniel, Logan, and Benjamin. In Chloe's words: \"Daniel is a saint\". Aurora said that Logan is a sinner. According to Daniel, \"it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1147, \"statements\": [[\"not\", [\"lying\", 2]], [\"lying\", 3], [\"not\", [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"lying\", 3], [\"or\", [\"lying\", 0], [\"lying\", 4]]]], [\"->\", [\"and\", [\"not\", [\"lying\... | {"split": "train", "index": 16703} |
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: Lucas, Luke, Abigail, William, and Henry. Lucas said, \"if (Luke is an angel) then ((William is an angel if and only if Luke is an angel) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1148, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"and\", [\"->\", [\"->\", [\"lying\", 4], [... | {"split": "train", "index": 16704} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Avery, Jack, David, James, and Lucas. \"(it is not the case that (Lucas is a sage)) if and only if Lucas is a fool,\" Avery declared. Jack asserted: \"(it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1149, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 4]]], [\"lying\", 4]], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 16705} |
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, James, Emily, Ella, and Jacob. In Zoey's words: \"((Emily is a fool) and (Jacob is a fool if and only if Emily is a fool)) and (it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1150, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"or\", [\"lying\", 2], [\"->\", [\"telli... | {"split": "train", "index": 16706} |
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, Daniel, Michael, Sebastian, and Joseph. Luke remarked, \"if (it is not the case that (Sebastian is a knave)) then ((Joseph is a knave if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1151, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"and\", [\"<=>\", [\"not\... | {"split": "train", "index": 16707} |
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, Matthew, Lucas, Evelyn, and Amelia. Alexander noted, \"it is not the case that ((Amelia is a pioneer) if and only if (Matthew is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1152, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"telling-truth\", 3], [\"and\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [... | {"split": "train", "index": 16708} |
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: Evelyn, Jackson, Lily, Jacob, and Elizabeth. Evelyn told you that Jackson is a sinner. \"(it is not the case that (Jacob is a sinner)) or (if (if Lil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1153, \"statements\": [[\"lying\", 1], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"telling... | {"split": "train", "index": 16709} |
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: Abigail, Sophia, Ella, Sofia, and Grace. As Abigail put it, \"((Grace is a devil if and only if Grace is an angel) or Sofia is an angel) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1154, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"and\", [\"not\", [\"lying\", 3]], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telli... | {"split": "train", "index": 16710} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mason, Sebastian, Abigail, Riley, and Charlotte. Mason noted, \"((Mason is a pioneer if and only if Charlotte is a pioneer) or Riley is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1155, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 3]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"or\", [\"->\", [\"<=>\", [\"lying\", 3], [\... | {"split": "train", "index": 16711} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Chloe, Isabella, Benjamin, Alexander, and Mia. \"(if (Isabella is an altruist) then (Benjamin is an egoist if and only if Alexander is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1156, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 3]], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\"... | {"split": "train", "index": 16712} |
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, William, Logan, Emily, and Grace. As Amelia put it, \"Emily is a villain\". \"if ((Amelia is a villain if and only if Grace is a villain) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1157, \"statements\": [[\"lying\", 3], [\"->\", [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\... | {"split": "train", "index": 16713} |
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: Isabella, Liam, Alexander, Aurora, and Mia. Isabella stated, \"it is not the case that (if (Liam is a villain and Aurora is a hero) then (Mia is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1158, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0]]]], [\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [... | {"split": "train", "index": 16714} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Daniel, Alexander, Jack, William, and Chloe. Daniel asserted: \"it is not the case that ((Alexander is a sinner and William is a sinner and Chloe is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1159, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"and\", [\"... | {"split": "train", "index": 16715} |
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: Ethan, Aurora, Alexander, Michael, and Liam. Ethan remarked, \"(Michael is a knave if and only if Liam is a knight) and ((Michael is a knave) and (Et... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1160, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-tr... | {"split": "train", "index": 16716} |
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, Isabella, Lily, Henry, and Noah. Lucas said that (Lily is a hero or (if Lily is a villain then Noah is a villain) or (Isabella is a hero if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1161, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"and\", [\"not\", [\"lying\", 2... | {"split": "train", "index": 16717} |
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, Victoria, Amelia, Isabella, and Penelope. Jack told you that (Isabella is a sage if and only if (Victoria is a fool or Amelia is a sage or Isabella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1162, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"lying\", 1]], [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"... | {"split": "train", "index": 16718} |
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: Mason, Emily, Lily, Grace, and Michael. \"Michael is a sinner or Emily is a saint or (if (Emily is a sinner if and only if Michael is a sinner) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1163, \"statements\": [[\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"or\", [\"->\", [\"and\", [\"telling-tr... | {"split": "train", "index": 16719} |
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, James, Aria, Daniel, and Henry. Matthew told you that (James is a fool or (James is a fool if and only if James is a sage)) and ((Matthew is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1164, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 4]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"... | {"split": "train", "index": 16720} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Liam, Samuel, David, Penelope, and Sophia. Liam expressed that ((Sophia is an altruist or Penelope is an altruist or Liam is an altruist) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1165, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"ly... | {"split": "train", "index": 16721} |
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: Avery, Oliver, Evelyn, Alexander, and Liam. Avery expressed that Evelyn is an angel. Oliver remarked, \"Alexander is a devil\". Evelyn commented, \"((L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1166, \"statements\": [[\"telling-truth\", 2], [\"lying\", 3], [\"and\", [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 1], [\"not\", [\"telling-tru... | {"split": "train", "index": 16722} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aria, Luke, Noah, Amelia, and Mia. \"((if Amelia is a hero then Luke is a hero) and (Noah is a hero and Aria is a hero) and Luke is a hero) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1167, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 1... | {"split": "train", "index": 16723} |
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, Jack, Sophia, Olivia, and Sofia. Ava said, \"Jack is a sage.\" Jack said, \"(if (if Jack is a sage then Olivia is a fool) then (Sophia is a fool if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1168, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-tru... | {"split": "train", "index": 16724} |
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, Noah, Oliver, Avery, and David. In a statement by Amelia: \"if (it is not the case that (Noah is a fool or Oliver is a sage or Noah is a sage)) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1169, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\... | {"split": "train", "index": 16725} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Liam, Emma, Olivia, Mia, and Scarlett. Liam expressed that (it is not the case that (Mia is a sinner and Scarlett is a sinner and Scarlett is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1170, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 0]]]], [\"or\", [\"lying\", 4], [\"<... | {"split": "train", "index": 16726} |
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, Lily, Jacob, Zoey, and Jack. According to Olivia, \"(it is not the case that (Jacob is a sinner or Jack is a sinner)) and (if Lily is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1171, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 16727} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lily, Matthew, Aurora, Amelia, and Noah. \"((if Amelia is an altruist then Amelia is an egoist) or Lily is an altruist) and (if (Aurora is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1172, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 0]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], ... | {"split": "train", "index": 16728} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Luke, Elizabeth, Ella, Abigail, and Jackson. According to Luke, \"((if Luke is an altruist then Elizabeth is an altruist) or Abigail is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1173, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"lying\", 3], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"l... | {"split": "train", "index": 16729} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Victoria, Lucas, Luke, Scarlett, and David. Victoria remarked, \"(if (Scarlett is a devil or Luke is an angel or Luke is a devil) then (Scarlett is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1174, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 4]], [\"not\", [\"ly... | {"split": "train", "index": 16730} |
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, Lucas, David, Ethan, and Elizabeth. Evelyn told you that ((Evelyn is a villain) if and only if (Elizabeth is a villain and David is a hero)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1175, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 16731} |
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: Noah, Scarlett, Lily, Joseph, and Charlotte. In Noah's words: \"Scarlett is an angel or Joseph is a devil or Joseph is an angel\". Scarlett commented, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1176, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"not\", [\"not\", [\"lying\", 0]]]], [\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"tel... | {"split": "train", "index": 16732} |
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: Scarlett, William, Riley, Ethan, and Emily. \"(Scarlett is a pioneer and (Riley is a laggard and William is a laggard)) and (if (William is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1177, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"and\", [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"telling-... | {"split": "train", "index": 16733} |
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, Amelia, Matthew, Harper, and Sebastian. \"((Sebastian is an altruist) if and only if (Sebastian is an altruist if and only if Amelia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1178, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"telling-truth\", 0]], [\"and\", [\"not\"... | {"split": "train", "index": 16734} |
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, Riley, William, Aurora, and Sophia. David remarked, \"William is a laggard if and only if (if (Sophia is a pioneer if and only if David ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1179, \"statements\": [[\"<=>\", [\"lying\", 2], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 2]]]], [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"not\", [\"telling-... | {"split": "train", "index": 16735} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jack, Luke, Lucas, James, and Ava. Jack expressed that Luke is an egoist. In a statement by Luke: \"(it is not the case that (if James is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1180, \"statements\": [[\"lying\", 1], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"lying\", 2], [\"or\", [\"lying\", 0], [\"telling-truth\", 1]]]], [\"->\", [\"or\", [\"or\", [\"telling-tr... | {"split": "train", "index": 16736} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Harper, Henry, James, Olivia, and Ethan. According to Harper, \"Ethan is a sage\". According to Henry, \"it is not the case that ((James is a fool if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1181, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"not\", [\"or\", [\"lying\", 3], [\"not\", [\"l... | {"split": "train", "index": 16737} |
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: Grace, Sofia, Mia, Noah, and Mason. Grace said that Mason is a hero. Sofia noted, \"(if (Mia is a hero and Grace is a hero and Mason is a villain) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1182, \"statements\": [[\"not\", [\"lying\", 4]], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", ... | {"split": "train", "index": 16738} |
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, Owen, Amelia, Samuel, and Henry. \"if ((Samuel is a villain and Henry is a villain) if and only if (Henry is a hero)) then Amelia is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1183, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"lying\", 2]], [\"not\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 4]]]], [\"->\"... | {"split": "train", "index": 16739} |
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, Grace, Benjamin, Jackson, and Owen. Evelyn expressed that ((Evelyn is a hero or Benjamin is a hero) and (Owen is a villain) and (if Benjamin ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1184, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 1]], [\"or\", [... | {"split": "train", "index": 16740} |
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: Zoey, Elizabeth, Emily, Luke, and Mia. In a statement by Zoey: \"Mia is a sinner and (Elizabeth is a sinner and (Mia is a sinner or Emily is a saint)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1185, \"statements\": [[\"and\", [\"lying\", 4], [\"and\", [\"lying\", 1], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 1]]], [\"and\", [\"not\", [\"lying\", 1]... | {"split": "train", "index": 16741} |
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: David, Joseph, Daniel, Emma, and Sofia. \"if Sofia is an altruist then Daniel is an egoist,\" David claimed. In a statement by Joseph: \"if Dav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1186, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"... | {"split": "train", "index": 16742} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Chloe, Penelope, Luke, and Liam. \"(it is not the case that (Penelope is a saint)) and ((Michael is a saint if and only if Chloe is a saint)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1187, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"telling-truth\", 1]], [\"and\", ... | {"split": "train", "index": 16743} |
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, Mason, Sofia, Lucas, and Ava. Zoey said, \"Mason is a hero.\" \"(if (Ava is a hero and Ava is a villain) then (Ava is a hero)) or (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1188, \"statements\": [[\"not\", [\"lying\", 1]], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"->\",... | {"split": "train", "index": 16744} |
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, Aiden, Avery, James, and David. Henry noted, \"James is a knight and ((if Avery is a knave then Avery is a knight) or Aiden is a knight or Aid... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1189, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1]], ... | {"split": "train", "index": 16745} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aiden, Michael, Daniel, Aurora, and Harper. Aiden asserted: \"if Harper is a sage then (if Aurora is a sage then (if Harper is a fool then Aurora is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1190, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"telli... | {"split": "train", "index": 16746} |
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, Sophia, Alexander, Aria, and Sofia. \"((if Aria is an egoist then Sofia is an egoist) or (if Matthew is an altruist then Sophia is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1191, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"lying\", 1], [\"or\", [\"telling-truth\", 2]... | {"split": "train", "index": 16747} |
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, Oliver, Noah, Aiden, and Charlotte. Luke said, \"(it is not the case that (Oliver is a knight)) or ((if Noah is a knave then Aiden is a knave) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1192, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"ly... | {"split": "train", "index": 16748} |
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, Sophia, David, Jacob, and Ava. Jack noted, \"David is a fool and (David is a sage)\". \"Jacob is a fool,\" Sophia declared. According to David, \"if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1193, \"statements\": [[\"and\", [\"lying\", 2], [\"not\", [\"lying\", 2]]], [\"lying\", 3], [\"->\", [\"lying\", 1], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]... | {"split": "train", "index": 16749} |
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, Daniel, Zoey, Samuel, and Mia. Jack stated, \"(it is not the case that (Jack is a sage or Mia is a fool)) if and only if (if (Mia is a fool if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1194, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"lying\", 2]]], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 16750} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Charlotte, Jack, Aurora, Chloe, and Isabella. Charlotte stated, \"(if (Chloe is a fool and Jack is a fool) then (Chloe is a fool if and only if Jack is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1195, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"lying\", 2]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-tr... | {"split": "train", "index": 16751} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Isabella, Harper, Owen, and Ethan. \"((Isabella is a knight and Owen is a knave) or (Isabella is a knight if and only if Lily is a knight)) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1196, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 3... | {"split": "train", "index": 16752} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Olivia, Victoria, Matthew, William, and Michael. Olivia expressed that (if (Matthew is a hero or Michael is a hero) then (Michael is a villain and Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1197, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"l... | {"split": "train", "index": 16753} |
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, Henry, William, Sophia, and Lily. Jack told you that Henry is a knight if and only if Lily is a knight. Henry told you that ((if William is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1198, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 4]], [\"lying\", 3]], [\"->\", [\"and\", [\"and\", [\"telling-... | {"split": "train", "index": 16754} |
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: Jackson, Sebastian, Joseph, Jacob, and Chloe. Jackson asserted: \"((if Joseph is a sage then Chloe is a fool) if and only if (Joseph is a fool if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1199, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 3], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"t... | {"split": "train", "index": 16755} |
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: Matthew, Aurora, Avery, Henry, and Charlotte. Matthew said, \"if (if (if Charlotte is a hero then Charlotte is a villain) then (Avery is a villain)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1200, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"or\", [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth... | {"split": "train", "index": 16756} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aurora, Riley, Emma, Ava, and James. Aurora said that Ava is a pioneer if and only if Riley is a laggard. Riley stated, \"Aurora is a laggard a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1201, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 0], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth... | {"split": "train", "index": 16757} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Amelia, Jackson, Sophia, and Mason. \"((William is a sage or Sophia is a sage or Mason is a fool) if and only if (Mason is a fool if and only if W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1202, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]... | {"split": "train", "index": 16758} |
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, Michael, Lily, Joseph, and Logan. In a statement by Sofia: \"it is not the case that (if (Logan is a sage and Joseph is a fool and Logan is a fool) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1203, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 4]], [\"lying\", 4]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2... | {"split": "train", "index": 16759} |
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, Benjamin, Grace, Penelope, and Mia. According to Henry, \"((Grace is a devil) or (Henry is an angel and Mia is a devil)) and (Penelope is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1204, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"and\", ... | {"split": "train", "index": 16760} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Isabella, Chloe, Jack, Joseph, and Ethan. Isabella commented, \"if ((Jack is a devil) if and only if (Jack is an angel and Joseph is an angel)) then ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1205, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-... | {"split": "train", "index": 16761} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mason, Ethan, Lucas, Isabella, and Emily. Mason said, \"Isabella is a laggard or Emily is a laggard or ((Lucas is a laggard if and only if Isab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1206, \"statements\": [[\"or\", [\"lying\", 3], [\"lying\", 4], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"lying\", 3], [\"telling-... | {"split": "train", "index": 16762} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Emma, Jacob, Ella, and Joseph. Michael commented, \"((Jacob is a sinner if and only if Ella is a saint) or (Emma is a saint or Ella is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1207, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"te... | {"split": "train", "index": 16763} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Charlotte, Sebastian, Liam, Chloe, and Sophia. \"((if Charlotte is an angel then Sophia is a devil) or (if Sebastian is a devil then Liam is an angel) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1208, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 16764} |
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, Owen, Victoria, Joseph, and Noah. \"((Owen is a sage) or Joseph is a fool) or Zoey is a sage or (Victoria is a sage)\" - Zoey. \"(it is not the case ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1209, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 1]], [\"lying\", 3]], [\"telling-truth\", 0], [\"not\", [\"lying\", 2]]], [\"or\", [\"not\", [\"not\", [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"ly... | {"split": "train", "index": 16765} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jacob, James, Emily, Aurora, and Amelia. Jacob told you that it is not the case that (it is not the case that (Amelia is a hero or Aurora is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1210, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"and\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 2... | {"split": "train", "index": 16766} |
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: David, Logan, Elizabeth, Owen, and Michael. In David's words: \"if (if Elizabeth is a devil then Logan is an angel) then (if (Logan is an angel) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1211, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"<=>\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\"... | {"split": "train", "index": 16767} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Luke, Oliver, Jack, Daniel, and Alexander. Luke was heard saying, \"Oliver is an altruist if and only if ((Daniel is an altruist) and Jack is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1212, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"and\", [\"not\", [\"lying\", 3]], [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"lying\", 4], [\"->... | {"split": "train", "index": 16768} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aiden, Oliver, Penelope, Samuel, and Michael. \"it is not the case that ((Penelope is an altruist or Penelope is an egoist or Michael is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1213, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-t... | {"split": "train", "index": 16769} |
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: Abigail, Aiden, Jack, David, and Sofia. \"((if Aiden is an angel then David is a devil) or (Sofia is a devil) or (if Aiden is a devil then Abigail is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1214, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 0], [\"lying\", 1]], [\"->\"... | {"split": "train", "index": 16770} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Benjamin, Penelope, Owen, Aiden, and Aria. Benjamin expressed that Aiden is a saint. Penelope remarked, \"if (if Benjamin is a sinner then (Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1215, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"->\", [\"lying\", 0], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]]]], [\"not\", [\"->\", [\"and\", [\"telling... | {"split": "train", "index": 16771} |
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: Jacob, Aurora, Aria, Owen, and Samuel. \"((Samuel is a laggard) or (Samuel is a laggard if and only if Owen is a laggard) or (if Samuel is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1216, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [... | {"split": "train", "index": 16772} |
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, Ava, Aria, Amelia, and Grace. Sofia remarked, \"((Amelia is an angel and Aria is an angel) or (Sofia is an angel and Grace is an angel and Aria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1217, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telli... | {"split": "train", "index": 16773} |
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, Luke, Aurora, Oliver, and Emily. According to Charlotte, \"((Oliver is a laggard if and only if Charlotte is a pioneer) or (Luke is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1218, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"not\"... | {"split": "train", "index": 16774} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Luke, Sophia, Jackson, and Amelia. Daniel noted, \"((Daniel is a knight and Jackson is a knight and Luke is a knave) and (Sophia is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1219, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], ... | {"split": "train", "index": 16775} |
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, Harper, Sebastian, Sofia, and Abigail. \"if ((Sofia is an egoist) and (Sofia is an altruist if and only if Sofia is an egoist) and (Harpe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1220, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 16776} |
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, Jacob, Harper, Amelia, and Sebastian. Ava said that it is not the case that ((Amelia is a pioneer or Sebastian is a pioneer) or (Amelia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1221, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"or\", [\"telling... | {"split": "train", "index": 16777} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Chloe, Zoey, Aria, and Ella. Alexander noted, \"if ((if Aria is a hero then Ella is a hero) or Aria is a villain) then ((if Zoey is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1222, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\", 3]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 1]]]], [\"not\", [\"no... | {"split": "train", "index": 16778} |
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, Sofia, Emma, Michael, and Evelyn. \"Evelyn is a fool\" - Henry. In Sofia's words: \"Emma is a fool\". Emma stated, \"Michael is a sage\". \"it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1223, \"statements\": [[\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1... | {"split": "train", "index": 16779} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Joseph, Sofia, Chloe, Liam, and Alexander. As Joseph put it, \"it is not the case that (if (Sofia is a sage or Chloe is a sage) then (Chloe is a sage and C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1224, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 1]]]], [\"->\", [\"lying\", 4], [\"not\", [\"or\", [\"telling-tr... | {"split": "train", "index": 16780} |
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, Olivia, Abigail, Jackson, and Aria. In a statement by Sophia: \"it is not the case that ((if Abigail is an egoist then Abigail is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1225, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]]], [\"not\", [\"not\", [\"and\", [\"lying\", 0], [\"telling-trut... | {"split": "train", "index": 16781} |
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, Benjamin, Penelope, Lily, and Michael. Ava commented, \"if Lily is an egoist then ((Michael is an egoist and Penelope is an altruist and L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1226, \"statements\": [[\"->\", [\"lying\", 3], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]]], [\"telling-truth\", 4], [\"not\", [\"not\", [\"telling-t... | {"split": "train", "index": 16782} |
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: Olivia, Emily, Scarlett, Luke, and Penelope. \"Penelope is a knave,\" Olivia claimed. \"Luke is a knave,\" Emily declared. Scarlett was heard saying,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1227, \"statements\": [[\"lying\", 4], [\"lying\", 3], [\"not\", [\"not\", [\"not\", [\"lying\", 3]]]], [\"not\", [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\",... | {"split": "train", "index": 16783} |
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: Scarlett, Amelia, Luke, Charlotte, and Riley. Scarlett commented, \"(it is not the case that (Amelia is a fool or Luke is a sage or Luke is a fool)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1228, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"not\", [\"->\", [\"or\", [\"l... | {"split": "train", "index": 16784} |
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, Samuel, Ella, Ava, and Aria. David remarked, \"((Ava is a pioneer) or (Samuel is a pioneer or David is a pioneer or Ava is a laggard)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1229, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-tr... | {"split": "train", "index": 16785} |
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: Aurora, Matthew, Mia, Amelia, and Daniel. \"if ((Matthew is a villain if and only if Daniel is a hero) or (Mia is a hero and Aurora is a hero and Dan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1230, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]],... | {"split": "train", "index": 16786} |
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: Daniel, Benjamin, James, Avery, and Ava. Daniel noted, \"if ((Daniel is a sage or Avery is a fool or James is a fool) and (Ava is a sage if and only if Ava... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1231, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"te... | {"split": "train", "index": 16787} |
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, Samuel, Olivia, Ethan, and Mason. Elizabeth was heard saying, \"((Olivia is a villain or Ethan is a villain or Elizabeth is a hero) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1232, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4... | {"split": "train", "index": 16788} |
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: Ethan, Evelyn, Abigail, William, and Penelope. \"it is not the case that ((if Penelope is a hero then William is a hero) or (Abigail is a hero or Eth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1233, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"ly... | {"split": "train", "index": 16789} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Noah, Abigail, Sebastian, Harper, and Logan. In a statement by Noah: \"(it is not the case that (Sebastian is a laggard and Abigail is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1234, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1],... | {"split": "train", "index": 16790} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sophia, Evelyn, Michael, Zoey, and Ella. Sophia was heard saying, \"Michael is a laggard or (if Evelyn is a pioneer then (Michael is a pioneer)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1235, \"statements\": [[\"or\", [\"lying\", 2], [\"->\", [\"telling-truth\", 1], [\"not\", [\"lying\", 2]]]], [\"lying\", 4], [\"not\", [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"lying\", 0]]]], [\"or\", [\"<=>\", ... | {"split": "train", "index": 16791} |
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: Noah, Riley, Zoey, Chloe, and Lucas. \"Chloe is an angel,\" Noah mentioned. Riley stated, \"Noah is an angel if and only if ((Noah is a devil or Chloe ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1236, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [... | {"split": "train", "index": 16792} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Daniel, Lucas, Oliver, Aria, and Ava. Daniel remarked, \"((Ava is a sinner if and only if Aria is a saint) or (Ava is a sinner) or (if Oliver is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1237, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [... | {"split": "train", "index": 16793} |
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, Aiden, Noah, Emily, and Zoey. \"(it is not the case that (Zoey is a devil or Emily is an angel or Noah is a devil)) and (it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1238, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"or\", [\"and\", [\"<=>\", [\"lying\", 2], [... | {"split": "train", "index": 16794} |
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, Samuel, Logan, Isabella, and Liam. Sofia said, \"((Liam is a fool if and only if Logan is a sage) or (Samuel is a fool) or Samuel is a fool) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1239, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]], [\"lying\", 1]], [\"lying\", 1]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"or\", [... | {"split": "train", "index": 16795} |
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, Sofia, Harper, Luke, and Grace. Matthew said, \"(Harper is a sage and (if Sofia is a fool then Luke is a fool) and (Grace is a fool if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1240, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"<=>\", [\"<=>\"... | {"split": "train", "index": 16796} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Chloe, Logan, Sophia, Michael, and Mia. Chloe was heard saying, \"if (Michael is an egoist or (Michael is an altruist or Sophia is an egoist) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1241, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"and\", [\"telling-truth\", 2], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not... | {"split": "train", "index": 16797} |
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, Riley, William, Noah, and Mason. Luke told you that it is not the case that ((William is a knight or Riley is a knave or William is a knave) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1242, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"not\", [\"and\", [\"... | {"split": "train", "index": 16798} |
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: Elizabeth, Victoria, Daniel, Aurora, and Matthew. Elizabeth told you that if (Aurora is a devil or (if Victoria is an angel then Matthew is an angel)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1243, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 3], [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]]], [\"and\", [\"not\", [... | {"split": "train", "index": 16799} |
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