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: Harper, Emily, Abigail, Ava, and Noah. \"(if Abigail is a sage then Abigail is a fool) and (if Ava is a fool then Abigail is a fool)\" - Harper. According ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1410, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"lying\", 3], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 2]], [\"->\"... | {"split": "train", "index": 10300} |
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, Chloe, Mia, Alexander, and Henry. Sofia noted, \"(Mia is a knave) or (Mia is a knave and Henry is a knight and Sofia is a knight)\". \"Sofia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1411, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-tru... | {"split": "train", "index": 10301} |
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, Avery, Sophia, Matthew, and Noah. As Henry put it, \"(Avery is a sage) if and only if (Avery is a fool)\". Avery said that Matthew is a sage. Sophia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1412, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-... | {"split": "train", "index": 10302} |
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: Lucas, Penelope, Elizabeth, David, and Riley. \"Riley is a knave,\" Lucas declared. As Penelope put it, \"it is not the case that (Elizabeth is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1413, \"statements\": [[\"lying\", 4], [\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 1]], [\"t... | {"split": "train", "index": 10303} |
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, Victoria, Mia, Joseph, and Sofia. Harper remarked, \"if Harper is a saint then (Joseph is a sinner or Mia is a saint or Harper is a saint)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1414, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"not\", ... | {"split": "train", "index": 10304} |
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, Sebastian, Emily, and Owen. Noah was heard saying, \"(if Owen is a saint then Sebastian is a sinner) if and only if (Lucas is a saint an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1415, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"lying\", 3]], [\"->\", [\"o... | {"split": "train", "index": 10305} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Chloe, Lucas, Ella, Isabella, and Olivia. \"(Isabella is a fool if and only if Lucas is a sage) if and only if (Isabella is a fool)\" - Chloe. In a stateme... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1416, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"telling-tr... | {"split": "train", "index": 10306} |
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: Zoey, Alexander, Emily, Ella, and Olivia. \"if (Olivia is a devil if and only if Zoey is an angel) then Ella is a devil\" - Zoey. In a statement by Ale... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1417, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 3]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0]]], ... | {"split": "train", "index": 10307} |
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: Benjamin, Aurora, Chloe, Sophia, and William. Benjamin said that Benjamin is a hero or (Benjamin is a hero and William is a villain) or (Aurora is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1418, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"tel... | {"split": "train", "index": 10308} |
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, Noah, Sebastian, Oliver, and Lucas. Luke told you that (Noah is a knight) if and only if (Sebastian is a knave if and only if Sebastian is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1419, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\",... | {"split": "train", "index": 10309} |
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, Scarlett, Harper, Joseph, and Elizabeth. Michael commented, \"(Elizabeth is a fool if and only if Joseph is a sage) and (Joseph is a sage or Eliza... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1420, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\"... | {"split": "train", "index": 10310} |
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: Oliver, Harper, Mia, Jacob, and Avery. Oliver expressed that it is not the case that (Harper is a knight or Oliver is a knight or Harper is a knave).... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1421, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 0], [... | {"split": "train", "index": 10311} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Penelope, Emma, Liam, Scarlett, and Mason. As Penelope put it, \"it is not the case that (Scarlett is an angel and Mason is an angel and Penelope is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1422, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 3], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-... | {"split": "train", "index": 10312} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Noah, Charlotte, Amelia, Sofia, and Logan. Noah expressed that if (Logan is a hero or Amelia is a villain) then (Amelia is a villain or Amelia is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1423, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 4]], [\"->\", [\"->\", [\"telling-truth\", 4], ... | {"split": "train", "index": 10313} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emma, William, Sebastian, Scarlett, and Daniel. \"(William is a fool and Sebastian is a fool and Daniel is a fool) if and only if Scarlett is a sage,\" Emm... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1424, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 3]], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]],... | {"split": "train", "index": 10314} |
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: Sebastian, Aurora, Avery, Grace, and Jack. Sebastian noted, \"(Avery is a knight if and only if Sebastian is a knight) and (if Sebastian is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1425, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"or\"... | {"split": "train", "index": 10315} |
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, Benjamin, James, Avery, and Liam. As Alexander put it, \"it is not the case that (Liam is a pioneer or Benjamin is a laggard or Jame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1426, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 2]]], [\"and\", [\"lying\", 4], [\"or\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 0]]], [\"and\... | {"split": "train", "index": 10316} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jackson, Riley, Scarlett, Emily, and Lily. \"Riley is an altruist,\" Jackson claimed. \"it is not the case that (if Emily is an egoist then Sca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1427, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4]], ... | {"split": "train", "index": 10317} |
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, Jacob, Benjamin, Sebastian, and Logan. Avery commented, \"Benjamin is a knave if and only if (Avery is a knight or Logan is a knave or Sebasti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1428, \"statements\": [[\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"and\", [\"lying\", 1], [\"... | {"split": "train", "index": 10318} |
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: Isabella, Alexander, Zoey, Olivia, and Emma. As Isabella put it, \"Olivia is an egoist\". Alexander remarked, \"Isabella is an egoist\". Accord... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1429, \"statements\": [[\"lying\", 3], [\"lying\", 0], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"ly... | {"split": "train", "index": 10319} |
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, Lily, Oliver, Jacob, and Aiden. Grace expressed that it is not the case that (Aiden is a laggard and Jacob is a pioneer and Lily is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1430, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"and\", [\"lying\"... | {"split": "train", "index": 10320} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mia, Zoey, Aiden, James, and Liam. \"James is a hero if and only if (Aiden is a villain and James is a hero),\" Mia claimed. Zoey said that if (James... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1431, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], ... | {"split": "train", "index": 10321} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jacob, Aiden, Isabella, James, and Chloe. \"it is not the case that (if Aiden is an altruist then Isabella is an altruist),\" Jacob claimed. Ai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1432, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\... | {"split": "train", "index": 10322} |
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, Harper, Ethan, William, and Charlotte. In a statement by Michael: \"(if William is a sage then Ethan is a sage) and (Harper is a fool or Michael i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1433, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 2]], [\"a... | {"split": "train", "index": 10323} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: James, Emma, Logan, Jack, and Zoey. \"Zoey is a pioneer,\" James mentioned. Emma commented, \"it is not the case that (Zoey is a pioneer or Log... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1434, \"statements\": [[\"not\", [\"lying\", 4]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"... | {"split": "train", "index": 10324} |
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, Jackson, Elizabeth, Mia, and Isabella. Lily noted, \"(Elizabeth is a knave or Jackson is a knight or Isabella is a knight) and (Isabella is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1435, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lyin... | {"split": "train", "index": 10325} |
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, Luke, Avery, Aiden, and Liam. Logan said that it is not the case that (Avery is a sinner if and only if Liam is a saint). \"it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1436, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"lying\... | {"split": "train", "index": 10326} |
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: Jack, Scarlett, Mia, Henry, and Jacob. Jack was heard saying, \"it is not the case that (Mia is a laggard and Henry is a pioneer and Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1437, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-tr... | {"split": "train", "index": 10327} |
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: Ethan, Alexander, William, Grace, and Isabella. Ethan said that Ethan is an angel. Alexander remarked, \"it is not the case that (Isabella is a devil a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1438, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 0]]], [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"<=>\... | {"split": "train", "index": 10328} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Penelope, Mason, Sophia, and Aurora. Samuel asserted: \"Aurora is a knave\". \"(Mason is a knight) if and only if (Sophia is a knave or Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1439, \"statements\": [[\"lying\", 4], [\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"n... | {"split": "train", "index": 10329} |
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: Samuel, Liam, Scarlett, David, and Sofia. Samuel expressed that if Liam is a devil then (Scarlett is an angel). Liam said that Samuel is an angel. Scar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1440, \"statements\": [[\"->\", [\"lying\", 1], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"te... | {"split": "train", "index": 10330} |
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: Sophia, Riley, Aiden, Mia, and Emma. In Sophia's words: \"Riley is a knave\". Riley told you that (if Emma is a knave then Mia is a knave) or (Sophia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1441, \"statements\": [[\"lying\", 1], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"or... | {"split": "train", "index": 10331} |
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, Emma, Sofia, and Daniel. As Ethan put it, \"if (Emma is a hero or Sofia is a villain or Ethan is a hero) then (Sofia is a hero if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1442, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth... | {"split": "train", "index": 10332} |
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, Penelope, Harper, Grace, and Joseph. Sofia noted, \"it is not the case that (Penelope is a saint and Joseph is a saint)\". \"if (if Sofia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1443, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"lying\", 1]... | {"split": "train", "index": 10333} |
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, Logan, Amelia, Harper, and Isabella. As Sofia put it, \"(Amelia is a knight) or (Sofia is a knight and Isabella is a knave) or (Isabella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1444, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 3... | {"split": "train", "index": 10334} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Joseph, Matthew, Liam, Ella, and Riley. \"Riley is a devil\" - Joseph. \"(Matthew is an angel and Liam is a devil and Joseph is a devil) and (Matthew i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1445, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4]... | {"split": "train", "index": 10335} |
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: Henry, Daniel, Harper, William, and Olivia. According to Henry, \"Olivia is a hero\". \"(Daniel is a hero or William is a hero) and (Henry is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1446, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 10336} |
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: Michael, Owen, Scarlett, Oliver, and Liam. \"(Liam is an angel) or (Oliver is a devil or Liam is a devil or Liam is an angel) or (Oliver is an angel if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1447, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"t... | {"split": "train", "index": 10337} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Noah, Sophia, Amelia, and Alexander. Ava told you that if (Noah is a knight and Alexander is a knight) then Noah is a knight. \"it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1448, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 0], [\"lying\", 2]]], [\"lying\", 3], [\"->\", [\"lying\", 4],... | {"split": "train", "index": 10338} |
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: Victoria, Oliver, Mia, Aurora, and Chloe. \"if (Mia is a saint) then (Chloe is a sinner and Oliver is a saint and Aurora is a sinner)\" - Victoria. O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1449, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0],... | {"split": "train", "index": 10339} |
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, Grace, Harper, Sofia, and Isabella. Evelyn told you that Grace is a saint and (Harper is a saint if and only if Grace is a saint). \"(Evelyn ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1450, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"or\", [\"or\", [\"telling-truth\", 4... | {"split": "train", "index": 10340} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Michael, Sebastian, Aiden, Owen, and Sophia. Michael stated, \"(if Sophia is a hero then Sebastian is a hero) and (Sebastian is a villain if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1451, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 0], [\"or\", [\"and\", [\"lying\", 0... | {"split": "train", "index": 10341} |
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, Isabella, Luke, Joseph, and Owen. As Henry put it, \"(Isabella is a laggard and Owen is a pioneer and Luke is a pioneer) or (Isabella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1452, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"->\... | {"split": "train", "index": 10342} |
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, Penelope, Jackson, Jacob, and Olivia. Elizabeth expressed that Penelope is a hero. As Penelope put it, \"(Jacob is a villain or Jacob is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1453, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"telling-truth\", 0], [\"not\", [\"lying\"... | {"split": "train", "index": 10343} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Amelia, Scarlett, Penelope, Aiden, and Jacob. Amelia commented, \"it is not the case that (Penelope is a sage)\". Scarlett expressed that Amelia is a sage.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1454, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4]]... | {"split": "train", "index": 10344} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Alexander, Elizabeth, Aurora, Matthew, and Sophia. \"Aurora is an angel,\" Alexander claimed. Elizabeth said that it is not the case that (if Sophia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1455, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"lying\", 1], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-tr... | {"split": "train", "index": 10345} |
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, Aiden, Sophia, Elizabeth, and Emma. \"Aiden is a hero,\" Charlotte claimed. Aiden told you that Aiden is a hero. Sophia said that it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1456, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 1], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]]... | {"split": "train", "index": 10346} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Chloe, Amelia, Ava, Henry, and Oliver. In Chloe's words: \"if (Amelia is a fool or Chloe is a sage or Oliver is a sage) then Ava is a fool\". \"Ava is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1457, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 2]], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-t... | {"split": "train", "index": 10347} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emma, Evelyn, Alexander, Riley, and Logan. Emma asserted: \"Riley is a devil or (Riley is an angel) or (Evelyn is an angel if and only if Logan is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1458, \"statements\": [[\"or\", [\"lying\", 3], [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"te... | {"split": "train", "index": 10348} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Harper, Olivia, Aiden, and Elizabeth. In Mason's words: \"(Aiden is a knight) if and only if (Aiden is a knight or Elizabeth is a knave)\". \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1459, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\... | {"split": "train", "index": 10349} |
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, Grace, Victoria, Isabella, and Mia. Avery noted, \"if (Avery is a sage and Isabella is a fool and Grace is a sage) then (Isabella is a sage)\". \"(V... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1460, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\... | {"split": "train", "index": 10350} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Riley, Jacob, Ella, Aria, and Ethan. Riley expressed that if (if Ella is a villain then Aria is a villain) then (if Ethan is a hero then Riley is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1461, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 2]], [\"lying\", 1], [\"lying\", 2],... | {"split": "train", "index": 10351} |
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: Oliver, Ethan, Harper, Logan, and Avery. \"if (if Logan is a knight then Avery is a knave) then (if Harper is a knave then Avery is a knight)\" - Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1462, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [... | {"split": "train", "index": 10352} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ella, Harper, Logan, Olivia, and Ava. Ella stated, \"(Logan is a laggard and Harper is a laggard) if and only if Ava is a pioneer\". Harper tol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1463, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4]]], [\"lyin... | {"split": "train", "index": 10353} |
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, Owen, Oliver, Sebastian, and Chloe. In a statement by Noah: \"(Sebastian is an angel if and only if Oliver is an angel) if and only if Sebastian ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1464, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telli... | {"split": "train", "index": 10354} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Oliver, Ella, Victoria, Joseph, and Owen. Oliver said, \"if (Joseph is an altruist if and only if Oliver is an altruist) then (Victoria is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1465, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 0]], [\"and\", [\"te... | {"split": "train", "index": 10355} |
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, Daniel, Harper, Ava, and Mia. \"(Mia is a laggard if and only if Charlotte is a pioneer) if and only if (Ava is a laggard if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1466, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", ... | {"split": "train", "index": 10356} |
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, Sebastian, Michael, James, and William. \"James is a fool,\" Grace mentioned. According to Sebastian, \"it is not the case that (Michael is a sage a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1467, \"statements\": [[\"lying\", 3], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 10357} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Olivia, Zoey, Mason, Alexander, and Ella. Olivia asserted: \"it is not the case that (Mason is an altruist)\". Zoey noted, \"it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1468, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"lying\", 4], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-tru... | {"split": "train", "index": 10358} |
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, Liam, Mason, Isabella, and Michael. In a statement by Aurora: \"if (Mason is a villain) then Michael is a villain\". \"(if Michael is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1469, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 4]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\"... | {"split": "train", "index": 10359} |
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, Grace, Lily, Jack, and Aiden. Harper told you that (Grace is a saint) or (Aiden is a saint or Jack is a saint or Lily is a sinner) or (Jack i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1470, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 2], [\"<=>\", [\"not\", [\"telling-tr... | {"split": "train", "index": 10360} |
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: Ethan, Jacob, Alexander, Isabella, and Benjamin. In a statement by Ethan: \"(Ethan is a saint or Jacob is a saint or Benjamin is a sinner) or (Alexan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1471, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\",... | {"split": "train", "index": 10361} |
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, Riley, Isabella, Grace, and Benjamin. Joseph told you that Isabella is a villain. Riley noted, \"it is not the case that (Riley is a hero if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1472, \"statements\": [[\"lying\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"... | {"split": "train", "index": 10362} |
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: Liam, Owen, Emma, Lily, and Noah. Liam told you that (if Owen is a hero then Emma is a hero) or (Emma is a hero and Lily is a hero and Noah is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1473, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [... | {"split": "train", "index": 10363} |
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: Michael, Penelope, William, Sofia, and Aria. According to Michael, \"(Sofia is an altruist) and (William is an egoist if and only if Michael is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1474, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"or\", [\"lying\"... | {"split": "train", "index": 10364} |
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: Ethan, Ella, Emily, Noah, and Jack. Ethan told you that it is not the case that (Emily is a fool and Emily is a sage and Ella is a fool). According to Ella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1475, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 1]]], [\"telling-truth\", 0], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\... | {"split": "train", "index": 10365} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lily, Matthew, Henry, Zoey, and Emily. According to Lily, \"(Matthew is a laggard or Lily is a pioneer) or (Henry is a pioneer and Zoey is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1476, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-trut... | {"split": "train", "index": 10366} |
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, Jackson, Ethan, and Ella. According to Victoria, \"Ella is an egoist or (if Jackson is an altruist then Aurora is an egoist)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1477, \"statements\": [[\"or\", [\"lying\", 4], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"->\", [\"->\", ... | {"split": "train", "index": 10367} |
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: Evelyn, Emma, Owen, Ella, and Jacob. As Evelyn put it, \"Jacob is an altruist\". Emma asserted: \"Evelyn is an egoist\". \"(Emma is an egoist i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1478, \"statements\": [[\"not\", [\"lying\", 4]], [\"lying\", 0], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]], [\"lying\", 4]], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 0], [\"lying\", ... | {"split": "train", "index": 10368} |
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, Scarlett, Liam, Samuel, and Emma. \"Emma is a saint,\" Noah declared. In a statement by Scarlett: \"if (if Liam is a saint then Emma is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1479, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 0]]], [\"telling-truth\", 1], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 10369} |
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, James, Oliver, Ethan, and Evelyn. As Elizabeth put it, \"(if Evelyn is an angel then Ethan is a devil) or (Elizabeth is an angel and Evelyn ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1480, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", ... | {"split": "train", "index": 10370} |
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: Isabella, Logan, Joseph, Scarlett, and Zoey. Isabella told you that Zoey is an egoist. Logan commented, \"it is not the case that (Isabella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1481, \"statements\": [[\"lying\", 4], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [... | {"split": "train", "index": 10371} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ethan, Daniel, Avery, Matthew, and Penelope. Ethan remarked, \"(Penelope is a pioneer if and only if Daniel is a pioneer) and (Ethan is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1482, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"telling-truth\", 0],... | {"split": "train", "index": 10372} |
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: Sebastian, Aiden, Olivia, Benjamin, and Jacob. Sebastian was heard saying, \"(Aiden is an altruist if and only if Olivia is an altruist) and (O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1483, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"telling-tr... | {"split": "train", "index": 10373} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: William, Oliver, Benjamin, Olivia, and Joseph. \"if (Olivia is a sinner) then (Joseph is a sinner if and only if Oliver is a saint),\" William mentio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1484, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"and\", [\"lying\", 2]... | {"split": "train", "index": 10374} |
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, Owen, Benjamin, Aurora, and Oliver. Victoria said, \"if (Oliver is a pioneer or Aurora is a laggard or Owen is a laggard) then (Owen ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1485, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"and\", [\"or\", [\"l... | {"split": "train", "index": 10375} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Daniel, Henry, Jacob, Ethan, and David. Daniel expressed that (Jacob is an angel or Henry is a devil) or (Jacob is a devil or Ethan is an angel or Henr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1486, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 1]]], [\"lying\", 4], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [... | {"split": "train", "index": 10376} |
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, Aurora, Oliver, Lucas, and Matthew. \"(Matthew is an altruist and Aurora is an egoist) or (Aurora is an egoist) or (Matthew is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1487, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 0]... | {"split": "train", "index": 10377} |
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, Owen, Benjamin, Avery, and Ella. \"Owen is a villain,\" Elizabeth claimed. Owen asserted: \"(Elizabeth is a hero if and only if Elizabeth ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1488, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-tr... | {"split": "train", "index": 10378} |
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: Henry, Grace, Noah, Owen, and Harper. Henry commented, \"(Noah is a villain and Grace is a villain) if and only if Owen is a hero\". \"(Harper is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1489, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"telling-truth\", 3]], [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"l... | {"split": "train", "index": 10379} |
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, Jackson, Alexander, Luke, and Evelyn. Chloe stated, \"if (Evelyn is a sinner if and only if Alexander is a sinner) then (Alexander is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1490, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"->\... | {"split": "train", "index": 10380} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Owen, Lily, David, Ella, and Victoria. In a statement by Owen: \"it is not the case that (Victoria is an altruist or Victoria is an egoist)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1491, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"->\... | {"split": "train", "index": 10381} |
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, Avery, Grace, Henry, and Sofia. Aiden asserted: \"(Avery is a fool and Sofia is a sage and Grace is a fool) and Avery is a fool and (Aiden is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1492, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 1], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 4]]], [\"lying\", 3], [\"<=>\", [\"->\", ... | {"split": "train", "index": 10382} |
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, Ethan, Lily, Ava, and Grace. \"it is not the case that (if Lily is a sage then Ethan is a fool),\" Jack declared. \"(Jack is a sage or Ethan is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1493, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]... | {"split": "train", "index": 10383} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Scarlett, Sofia, Benjamin, Mia, and Abigail. \"(Benjamin is an altruist and Sofia is an egoist and Scarlett is an altruist) if and only if (Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1494, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-trut... | {"split": "train", "index": 10384} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Luke, Lily, Grace, and Scarlett. Liam noted, \"if (Scarlett is a laggard or Scarlett is a pioneer) then Luke is a laggard\". \"Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1495, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 1]], [\"lying\", 3], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lyi... | {"split": "train", "index": 10385} |
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, Harper, Sophia, Avery, and James. According to Henry, \"(Harper is a pioneer) and (Avery is a laggard or Sophia is a pioneer) and (Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1496, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 4], [\"and... | {"split": "train", "index": 10386} |
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, Aurora, Jack, Isabella, and Liam. \"it is not the case that (if Liam is a sinner then Evelyn is a saint),\" Evelyn declared. Aurora noted, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1497, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"lying\", 0], [\"not\", [\"not\", [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], ... | {"split": "train", "index": 10387} |
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, Logan, Ava, Mason, and Emma. As Sebastian put it, \"if (if Logan is a laggard then Emma is a laggard) then (Mason is a pioneer)\". L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1498, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", [\"not\", [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\... | {"split": "train", "index": 10388} |
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, Jack, Riley, Noah, and Ella. William was heard saying, \"(if William is a hero then Noah is a hero) or (William is a hero or Jack is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1499, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"... | {"split": "train", "index": 10389} |
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, Sofia, Chloe, Riley, and Elizabeth. As Aurora put it, \"(if Sofia is a sage then Riley is a sage) if and only if (if Riley is a sage then Elizabeth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1500, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 3],... | {"split": "train", "index": 10390} |
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, Elizabeth, Grace, Liam, and Olivia. Aurora noted, \"it is not the case that (if Elizabeth is a hero then Elizabeth is a villain)\". Elizabeth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1501, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"->\", [\"telling-truth\", 2... | {"split": "train", "index": 10391} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Benjamin, Ethan, Jacob, Jackson, and Sophia. \"(if Jackson is a laggard then Ethan is a pioneer) and (Benjamin is a laggard) and Benjamin is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1502, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"lying\", 0], [\"not\"... | {"split": "train", "index": 10392} |
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, Sofia, Sebastian, Penelope, and Zoey. Victoria said that (Victoria is a devil) if and only if (if Penelope is an angel then Sebastian is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1503, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 0]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling... | {"split": "train", "index": 10393} |
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, Henry, Aiden, Lily, and Michael. \"it is not the case that (Aiden is a saint and Sophia is a saint and Henry is a saint),\" Sophia mentioned.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1504, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"tell... | {"split": "train", "index": 10394} |
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, Jackson, Mia, Lily, and Aiden. In a statement by Victoria: \"Mia is an egoist\". Jackson told you that (Aiden is an altruist and Vict... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1505, \"statements\": [[\"lying\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"not\", [\"telling-... | {"split": "train", "index": 10395} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emma, Emily, Jacob, Joseph, and Lily. \"Emma is an angel and (Emily is a devil if and only if Lily is an angel) and Emily is a devil,\" Emma declared. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1506, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"lying\", 1]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying... | {"split": "train", "index": 10396} |
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, Benjamin, Abigail, Penelope, and Zoey. Amelia said that Zoey is a hero. As Benjamin put it, \"(Penelope is a hero) and (if Benjamin is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1507, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2... | {"split": "train", "index": 10397} |
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: Sebastian, Riley, Aiden, Ethan, and Penelope. Sebastian noted, \"Sebastian is a saint\". Riley stated, \"it is not the case that (Sebastian is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1508, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 4], [\"<=>\", [\"telling-truth\", 2],... | {"split": "train", "index": 10398} |
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: Aria, Jacob, Matthew, Michael, and Zoey. In Aria's words: \"(if Jacob is an angel then Aria is an angel) or (Zoey is an angel if and only if Matthew is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1509, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"n... | {"split": "train", "index": 10399} |
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