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 knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Grace, Oliver, Sofia, and James. Lily commented, \"(Grace is a knight) or (Grace is a knave if and only if Sofia is a knave) or (Lily is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1110, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-... | {"split": "train", "index": 10000} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Sofia, Benjamin, Ava, and Grace. Zoey stated, \"Sofia is a knave\". Sofia noted, \"if (Benjamin is a knight if and only if Zoey is a knave) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1111, \"statements\": [[\"lying\", 1], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 3], [\"telling-truth... | {"split": "train", "index": 10001} |
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: Amelia, Mason, Jackson, Harper, and Henry. Amelia commented, \"(if Mason is a knight then Henry is a knave) if and only if (Jackson is a knave or Har... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1112, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-tru... | {"split": "train", "index": 10002} |
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, Matthew, Benjamin, Riley, and Scarlett. Aurora expressed that Benjamin is a sage. \"it is not the case that (Benjamin is a fool and Matthew is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1113, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-trut... | {"split": "train", "index": 10003} |
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: Sophia, Mia, Lucas, Ella, and Chloe. As Sophia put it, \"it is not the case that (Mia is a sage or Lucas is a fool)\". Mia expressed that (Sophia is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1114, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"lying\", 0], [\"telling-truth\", 0], [\"an... | {"split": "train", "index": 10004} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Isabella, Harper, Scarlett, Alexander, and Penelope. Isabella remarked, \"if (Harper is a fool and Alexander is a fool) then (if Isabella is a sage then Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1115, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"not\", [\"and\", [\"telling-truth\", 4], ... | {"split": "train", "index": 10005} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aurora, Liam, Owen, Zoey, and Chloe. According to Aurora, \"(Chloe is an angel) and (if Zoey is a devil then Chloe is a devil)\". Liam said that it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1116, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 4]], [\"->\", [... | {"split": "train", "index": 10006} |
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: Charlotte, Aiden, Daniel, Oliver, and Scarlett. Charlotte noted, \"Oliver is a sinner\". According to Aiden, \"if (Oliver is a sinner or Scarlett is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1117, \"statements\": [[\"lying\", 3], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\"... | {"split": "train", "index": 10007} |
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: Jackson, Jacob, Samuel, Victoria, and Chloe. Jackson said, \"it is not the case that (if Samuel is a sinner then Samuel is a saint).\" Jacob noted, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1118, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 0]]], [\"and\", [\"->\", ... | {"split": "train", "index": 10008} |
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, Isabella, Avery, Elizabeth, and Mason. Ethan said that Elizabeth is a hero and (Avery is a hero if and only if Isabella is a hero) and (if Eth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1119, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying... | {"split": "train", "index": 10009} |
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, Charlotte, Aurora, Ethan, and Emma. Avery noted, \"Aurora is an angel\". Charlotte expressed that (Avery is a devil) or (Ethan is an angel if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1120, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 3]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-trut... | {"split": "train", "index": 10010} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Victoria, Amelia, William, Isabella, and Aurora. Victoria asserted: \"(if Amelia is a laggard then Aurora is a laggard) or (if William is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1121, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying... | {"split": "train", "index": 10011} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Aurora, Emma, Chloe, and Emily. Aiden was heard saying, \"(if Emma is a knave then Aurora is a knight) or (Emma is a knave if and only if Chlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1122, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"te... | {"split": "train", "index": 10012} |
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: Joseph, Lily, Penelope, Sophia, and Noah. Joseph told you that Sophia is a laggard. Lily remarked, \"it is not the case that (if Sophia is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1123, \"statements\": [[\"lying\", 3], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]],... | {"split": "train", "index": 10013} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lucas, Aurora, Aiden, Mia, and Henry. Lucas said, \"(Mia is a pioneer and Lucas is a pioneer and Aiden is a laggard) and (Aurora is a pioneer o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1124, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-trut... | {"split": "train", "index": 10014} |
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: Olivia, Aurora, Benjamin, Charlotte, and Lily. Olivia said that Charlotte is a fool. \"(if Charlotte is a fool then Lily is a fool) or (Lily is a fool)\" -... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1125, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"->\", [\"tell... | {"split": "train", "index": 10015} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Sebastian, Daniel, Joseph, and William. Aiden stated, \"(William is a knave) and (Aiden is a knight and William is a knave and Daniel is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1126, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 2]], [\"lying\", 2]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 0], [\"and\", [\"... | {"split": "train", "index": 10016} |
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, Samuel, Chloe, Sophia, and Abigail. Lily commented, \"it is not the case that (Sophia is a knave)\". Samuel said, \"it is not the case that (Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1127, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 10017} |
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, Aurora, Oliver, Emily, and Sofia. Scarlett remarked, \"(Scarlett is a sage and Oliver is a sage and Sofia is a sage) and Oliver is a sage and (So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1128, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [... | {"split": "train", "index": 10018} |
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, David, Benjamin, Noah, and Owen. \"(Owen is a laggard) or (Owen is a laggard if and only if Liam is a pioneer) or David is a pioneer,\" L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1129, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 1... | {"split": "train", "index": 10019} |
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, William, Aiden, Aurora, and Harper. Victoria remarked, \"(Aiden is a laggard or Aurora is a pioneer) if and only if (Aurora is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1130, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4]... | {"split": "train", "index": 10020} |
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, Joseph, Luke, Matthew, and Chloe. Sofia asserted: \"it is not the case that (Matthew is a sage or Luke is a fool or Joseph is a sage)\". Joseph asse... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1131, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 0]... | {"split": "train", "index": 10021} |
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, Owen, Aiden, Avery, and Ethan. Chloe stated, \"(Chloe is a saint or Ethan is a sinner) if and only if (Avery is a saint if and only if Aiden i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1132, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0... | {"split": "train", "index": 10022} |
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, Jackson, Mia, Penelope, and Jacob. According to Liam, \"if Jacob is a villain then (Mia is a hero)\". \"Jacob is a hero,\" Jackson mentioned. I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1133, \"statements\": [[\"->\", [\"lying\", 4], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 4], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [... | {"split": "train", "index": 10023} |
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, Oliver, Emily, Benjamin, and Alexander. In Isabella's words: \"it is not the case that (Benjamin is an angel and Oliver is a devil)\". Oliver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1134, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"lying\", 4], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\"... | {"split": "train", "index": 10024} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lily, Benjamin, Penelope, Jacob, and Mia. In Lily's words: \"if (Penelope is a villain) then (Jacob is a villain)\". Benjamin stated, \"(Mia is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1135, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 0]]], ... | {"split": "train", "index": 10025} |
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: Scarlett, Owen, Ava, Ethan, and Lily. Scarlett stated, \"it is not the case that (Lily is a saint or Lily is a sinner or Owen is a saint)\". As Owen ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1136, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 0]]], [\"and\", [\"->\", [\"telling-tr... | {"split": "train", "index": 10026} |
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: Aiden, Lily, Olivia, Ava, and Mason. Aiden expressed that (Olivia is a villain or Ava is a hero) or Olivia is a hero or (Aiden is a hero if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1137, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\... | {"split": "train", "index": 10027} |
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, Noah, Sebastian, Samuel, and Aiden. \"it is not the case that (Sebastian is a sinner and Noah is a saint),\" Chloe claimed. Noah was heard say... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1138, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 4]], [\... | {"split": "train", "index": 10028} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Isabella, Samuel, Elizabeth, Grace, and Jackson. Isabella noted, \"if (Elizabeth is a pioneer) then (Samuel is a laggard)\". According to Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1139, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\"... | {"split": "train", "index": 10029} |
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, Victoria, Emma, Liam, and Sophia. Benjamin asserted: \"Emma is a saint and (if Liam is a sinner then Liam is a saint) and (Sophia is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1140, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\... | {"split": "train", "index": 10030} |
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, Henry, Benjamin, Evelyn, and Olivia. Mason told you that if (if Olivia is a laggard then Henry is a pioneer) then (Benjamin is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1141, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth... | {"split": "train", "index": 10031} |
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: Emily, Aurora, Benjamin, Amelia, and Charlotte. In Emily's words: \"Amelia is an angel\". Aurora told you that (Charlotte is an angel or Emily is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1142, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 1], [\"lying\... | {"split": "train", "index": 10032} |
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, Emma, Avery, Lily, and Elizabeth. Mason stated, \"(Emma is a sinner or Emma is a saint or Lily is a saint) if and only if (Avery is a saint an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1143, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]],... | {"split": "train", "index": 10033} |
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: Amelia, Oliver, Benjamin, Mia, and Harper. Amelia said, \"if (if Mia is a saint then Mia is a sinner) then (Oliver is a saint).\" \"if Amelia is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1144, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"->\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"->\", [\"<=>\", [\"telling-tr... | {"split": "train", "index": 10034} |
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, Elizabeth, Olivia, Owen, and Isabella. Lucas was heard saying, \"if (if Owen is a knave then Elizabeth is a knight) then (Isabella is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1145, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"lying\", 2], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-... | {"split": "train", "index": 10035} |
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, Henry, Jacob, David, and Jackson. Benjamin commented, \"if (if Jacob is a villain then Jackson is a hero) then Jacob is a villain\". Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1146, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], ... | {"split": "train", "index": 10036} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sofia, Jack, Victoria, Logan, and Grace. Sofia asserted: \"Grace is a laggard and (Jack is a laggard or Grace is a laggard) and (Grace is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1147, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0]... | {"split": "train", "index": 10037} |
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: Grace, Avery, Lucas, Elizabeth, and Jacob. Grace said that (Avery is a knight or Grace is a knight) and (Elizabeth is a knight and Avery is a knave a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1148, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\... | {"split": "train", "index": 10038} |
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, Noah, David, Sofia, and Victoria. \"(Noah is a villain) and (Sebastian is a hero or Victoria is a villain) and (Victoria is a villain if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1149, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4... | {"split": "train", "index": 10039} |
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: Matthew, James, Emily, Elizabeth, and Lily. Matthew remarked, \"(if James is a sinner then Matthew is a saint) if and only if Emily is a saint\". Jam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1150, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"not\",... | {"split": "train", "index": 10040} |
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, Jack, Elizabeth, Mia, and Ethan. Victoria asserted: \"(if Victoria is an altruist then Mia is an egoist) or (Jack is an altruist if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1151, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 3]], [\"lying\", 2], [\"not\", [\"->\", [\"telling-truth\", 3], [\"tellin... | {"split": "train", "index": 10041} |
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: Zoey, Benjamin, Emily, Jack, and Mia. \"(if Zoey is a pioneer then Jack is a laggard) or (if Jack is a laggard then Benjamin is a laggard)\" - ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1152, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"<=... | {"split": "train", "index": 10042} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Chloe, Lily, Sophia, Jacob, and Ava. Chloe asserted: \"(Lily is a laggard and Chloe is a pioneer and Jacob is a pioneer) and (Ava is a laggard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1153, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 1]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 3]]]... | {"split": "train", "index": 10043} |
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: Ella, Emma, Evelyn, Samuel, and Matthew. Ella was heard saying, \"(if Emma is a villain then Matthew is a hero) and (Emma is a hero if and only if Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1154, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"te... | {"split": "train", "index": 10044} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Zoey, Chloe, Ava, and Olivia. As Abigail put it, \"(Zoey is a saint if and only if Zoey is a sinner) or Zoey is a saint\". Zoey remarked, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1155, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 1]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-trut... | {"split": "train", "index": 10045} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: James, Sebastian, Zoey, Evelyn, and Scarlett. James told you that it is not the case that (if Scarlett is a hero then Sebastian is a villain). Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1156, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"telling-truth\", 4], [\"and\", [\"->\", [\"ly... | {"split": "train", "index": 10046} |
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: Aria, Aurora, William, Charlotte, and Aiden. Aria remarked, \"if (Aria is a fool) then (Charlotte is a fool)\". Aurora said, \"it is not the case that (Aid... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1157, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"lying\", 3], [\"... | {"split": "train", "index": 10047} |
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, David, Olivia, Mia, and Chloe. Victoria commented, \"(if Mia is an altruist then Chloe is an egoist) if and only if Mia is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1158, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 3]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lyi... | {"split": "train", "index": 10048} |
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: Ava, Penelope, Mia, Mason, and Elizabeth. \"(Elizabeth is a saint) and (Penelope is a sinner and Mia is a sinner and Mason is a saint)\" - Ava. In Pe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1159, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 3]], [\"telling-tr... | {"split": "train", "index": 10049} |
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, Samuel, Liam, Ethan, and Sebastian. Noah noted, \"Sebastian is a villain\". According to Samuel, \"Sebastian is a villain or (Liam is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1160, \"statements\": [[\"lying\", 4], [\"or\", [\"lying\", 4], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"lying\", 0], [\"not\", [\"... | {"split": "train", "index": 10050} |
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: Alexander, Ava, Harper, Sebastian, and David. \"it is not the case that (Harper is a fool or Ava is a fool),\" Alexander mentioned. \"it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1161, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 10051} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Amelia, Isabella, Ella, Aiden, and Ava. \"if Ava is an egoist then (Aiden is an altruist and Isabella is an egoist and Amelia is an altruist)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1162, \"statements\": [[\"->\", [\"lying\", 4], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 10052} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Oliver, Liam, Sofia, Aurora, and Benjamin. Oliver stated, \"(Liam is an angel or Liam is a devil) if and only if (Sofia is a devil and Oliver is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1163, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 0], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 10053} |
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: Aiden, Olivia, Sofia, Ella, and Jacob. \"it is not the case that (Ella is an angel and Ella is a devil),\" Aiden claimed. As Olivia put it, \"(if Sofia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1164, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 0... | {"split": "train", "index": 10054} |
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: Ava, Jack, Chloe, Victoria, and Elizabeth. Ava was heard saying, \"Chloe is a hero\". \"(Jack is a hero and Elizabeth is a hero and Ava is a hero) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1165, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telli... | {"split": "train", "index": 10055} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Zoey, Logan, Luke, and Lily. Jack said that Lily is a saint. According to Zoey, \"if (if Luke is a sinner then Logan is a saint) then (Lily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1166, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 0]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\... | {"split": "train", "index": 10056} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emily, Amelia, Aria, Owen, and Aurora. Emily said, \"(Amelia is a laggard or Amelia is a pioneer) and (Amelia is a pioneer or Owen is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1167, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 4],... | {"split": "train", "index": 10057} |
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, David, Sebastian, Avery, and Ethan. \"(Sophia is a pioneer and Avery is a pioneer and David is a laggard) if and only if (Sebastian is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1168, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 4], [... | {"split": "train", "index": 10058} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Sebastian, Joseph, Lucas, and Michael. Riley commented, \"if (Lucas is a knave) then Lucas is a knave\". \"(Lucas is a knave if and only if Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1169, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 3]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"lying\", 2]]], [\"<=>\", [\"... | {"split": "train", "index": 10059} |
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, Ava, Olivia, Aurora, and Henry. Jack stated, \"(Aurora is an egoist if and only if Ava is an egoist) and (Ava is an egoist if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1170, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telli... | {"split": "train", "index": 10060} |
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, Scarlett, Lucas, Jack, and Lily. Matthew was heard saying, \"if (Scarlett is an egoist) then Scarlett is an egoist\". Scarlett told yo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1171, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 1]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 2]], [\"lying\", 2]], [\"telling-truth\", 0], [\"or\", [\"not\... | {"split": "train", "index": 10061} |
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, Victoria, Grace, Alexander, and Aiden. Ethan remarked, \"Victoria is a fool\". As Victoria put it, \"Ethan is a sage or (Aiden is a sage and Alexand... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1172, \"statements\": [[\"lying\", 1], [\"or\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [... | {"split": "train", "index": 10062} |
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, James, Logan, Oliver, and Charlotte. Samuel stated, \"Oliver is a devil and (Oliver is an angel or Charlotte is a devil or Charlotte is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1173, \"statements\": [[\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\... | {"split": "train", "index": 10063} |
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, Mason, Samuel, Zoey, and Chloe. As Jack put it, \"Samuel is a laggard or (Mason is a pioneer if and only if Mason is a laggard) or (if Zo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1174, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\"... | {"split": "train", "index": 10064} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Isabella, Daniel, Sebastian, Lily, and Aiden. \"it is not the case that (Isabella is a saint and Daniel is a sinner),\" Isabella claimed. \"if (Lily ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1175, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"<=>\", [... | {"split": "train", "index": 10065} |
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, Alexander, Zoey, Avery, and Noah. Luke commented, \"(Avery is a knight) if and only if (Zoey is a knave)\". In Alexander's words: \"Avery is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1176, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"o... | {"split": "train", "index": 10066} |
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: Ella, Luke, Logan, Oliver, and Jack. \"(Luke is a knave if and only if Logan is a knave) if and only if (Luke is a knight)\" - Ella. Luke told you th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1177, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 2]], [\"->\", [... | {"split": "train", "index": 10067} |
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, Henry, Jacob, Oliver, and Isabella. As Ethan put it, \"Jacob is a saint\". As Henry put it, \"(Ethan is a sinner and Isabella is a sinner and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1178, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"tellin... | {"split": "train", "index": 10068} |
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, Lucas, James, Sebastian, and Luke. \"if (James is a laggard if and only if Lucas is a pioneer) then (Lucas is a pioneer if and only if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1179, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"telling-tr... | {"split": "train", "index": 10069} |
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, Jackson, Joseph, James, and Mia. Alexander was heard saying, \"if (Joseph is a devil or Mia is a devil or Mia is an angel) then James is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1180, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-... | {"split": "train", "index": 10070} |
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: Aiden, Benjamin, Emily, Aria, and Evelyn. Aiden commented, \"Evelyn is a devil\". Benjamin remarked, \"Aiden is an angel\". \"it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1181, \"statements\": [[\"lying\", 4], [\"telling-truth\", 0], [\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\... | {"split": "train", "index": 10071} |
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, Aria, Sophia, Ella, and Daniel. Grace remarked, \"(Daniel is a hero) or (if Sophia is a hero then Ella is a villain)\". Aria told you that it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1182, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", ... | {"split": "train", "index": 10072} |
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: Ethan, Ella, Victoria, Jack, and Amelia. In Ethan's words: \"it is not the case that (Victoria is an altruist)\". Ella said, \"Victoria is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1183, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"telling-truth\", 2], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 2]]... | {"split": "train", "index": 10073} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Isabella, James, Lucas, Daniel, and Lily. Isabella told you that (Lucas is a fool or James is a fool) if and only if (if Daniel is a sage then Lily is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1184, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"and\", [\"telling-truth\", 1], [\"te... | {"split": "train", "index": 10074} |
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: Aiden, Olivia, Avery, Sofia, and Elizabeth. Aiden remarked, \"if (Avery is a saint or Elizabeth is a saint) then Olivia is a sinner\". Olivia noted, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1185, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\... | {"split": "train", "index": 10075} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Isabella, Charlotte, Jacob, Jack, and Sebastian. In Isabella's words: \"(Jack is a sage if and only if Jacob is a fool) if and only if (Charlotte is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1186, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\... | {"split": "train", "index": 10076} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Evelyn, Amelia, Olivia, Sofia, and Ava. Evelyn stated, \"Sofia is a pioneer\". \"Sofia is a pioneer\" - Amelia. Olivia stated, \"(if Ava is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1187, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 3], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"lying... | {"split": "train", "index": 10077} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Avery, Alexander, Chloe, Amelia, and Abigail. Avery was heard saying, \"Amelia is a villain and (Alexander is a villain if and only if Chloe is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1188, \"statements\": [[\"and\", [\"lying\", 3], [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"a... | {"split": "train", "index": 10078} |
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, Elizabeth, Alexander, Ava, and Victoria. Liam remarked, \"Elizabeth is a laggard\". Elizabeth was heard saying, \"(Ava is a laggard or Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1189, \"statements\": [[\"lying\", 1], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 0]], [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"lyi... | {"split": "train", "index": 10079} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: William, James, Evelyn, Sofia, and Chloe. In William's words: \"(Evelyn is an altruist and Evelyn is an egoist) and (William is an egoist) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1190, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-tr... | {"split": "train", "index": 10080} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Joseph, David, Charlotte, Olivia, and Matthew. Joseph stated, \"David is a saint\". According to David, \"it is not the case that (Olivia is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1191, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"lying\", 4], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"lying\"... | {"split": "train", "index": 10081} |
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, Oliver, Mason, Henry, and Harper. \"(Henry is a devil if and only if Henry is an angel) or Henry is an angel,\" Daniel declared. \"(if Henry is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1192, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying... | {"split": "train", "index": 10082} |
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, Jack, Riley, Ava, and Avery. Daniel commented, \"Ava is a fool if and only if (Ava is a fool or Jack is a fool)\". Jack asserted: \"Riley is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1193, \"statements\": [[\"<=>\", [\"lying\", 3], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"and\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 1]]], [\"telling-truth\... | {"split": "train", "index": 10083} |
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, Emma, Isabella, Alexander, and Scarlett. \"(Scarlett is a knave or Emma is a knave) and (if Emma is a knave then Scarlett is a knight) and (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1194, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"... | {"split": "train", "index": 10084} |
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, Olivia, Aurora, Avery, and Emma. In a statement by Daniel: \"(Olivia is a sage) if and only if (Olivia is a sage and Avery is a fool and Emma is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1195, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"lying\", 0]], [\"not\", [\"and\", [\... | {"split": "train", "index": 10085} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mia, Emma, Abigail, Jacob, and Mason. Mia said that (Abigail is an altruist or Emma is an egoist or Mason is an egoist) and (Mason is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1196, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\... | {"split": "train", "index": 10086} |
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: Oliver, Noah, Daniel, Chloe, and Avery. \"(if Chloe is a fool then Noah is a fool) if and only if (Chloe is a sage)\" - Oliver. Noah remarked, \"Avery is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1197, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 3]]], [\"and\", [\"telling-truth\", 4], [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", ... | {"split": "train", "index": 10087} |
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: Aurora, Olivia, Amelia, Mason, and William. Aurora noted, \"(Amelia is a saint and Olivia is a saint) or (Amelia is a sinner)\". Olivia asserted: \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1198, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 3]], [\"and\", [\"-... | {"split": "train", "index": 10088} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Liam, Aurora, Harper, Mia, and Abigail. Liam told you that (Abigail is an angel or Aurora is a devil) and (if Harper is a devil then Mia is an angel). ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1199, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4]... | {"split": "train", "index": 10089} |
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: Victoria, Emma, Lucas, Grace, and Evelyn. Victoria expressed that it is not the case that (Emma is a sage if and only if Emma is a fool). In a statement by... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1200, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"lying\", 0], [\"and\", [\"telling-truth\", 2], [\"not\", [\"lying\", 1]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"or\", [\"and\", [\"tel... | {"split": "train", "index": 10090} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Luke, Oliver, Aria, and Penelope. \"it is not the case that (Benjamin is a knight and Oliver is a knight and Penelope is a knave)\" - Benja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1201, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"lying\", 0], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\",... | {"split": "train", "index": 10091} |
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: Emily, Chloe, Daniel, Liam, and Penelope. \"(Penelope is a devil or Penelope is an angel or Emily is an angel) or (Chloe is a devil)\" - Emily. \"(Emil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1202, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"te... | {"split": "train", "index": 10092} |
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: Matthew, Jack, Aiden, Samuel, and Oliver. Matthew commented, \"(Jack is a saint or Jack is a sinner) if and only if (Samuel is a sinner and Oliver is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1203, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 1], [\"<=... | {"split": "train", "index": 10093} |
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, Zoey, Riley, Isabella, and Aurora. Jack commented, \"Zoey is an altruist or (Jack is an altruist or Isabella is an egoist)\". In a statem... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1204, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\... | {"split": "train", "index": 10094} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Luke, Olivia, Elizabeth, Amelia, and Isabella. Luke stated, \"if Amelia is a saint then (Olivia is a sinner)\". Olivia stated, \"(Isabella is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1205, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 2]], [\"or\", [\"not\", [\"lying\", 4... | {"split": "train", "index": 10095} |
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, Noah, Ella, Samuel, and Ethan. Charlotte remarked, \"if (Ethan is a sage or Samuel is a sage) then (Samuel is a fool if and only if Ethan is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1206, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3]... | {"split": "train", "index": 10096} |
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: Mia, Sofia, Matthew, Alexander, and Lucas. Mia noted, \"(Mia is a fool) and (Matthew is a fool if and only if Lucas is a fool) and (Matthew is a fool if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1207, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"te... | {"split": "train", "index": 10097} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Riley, Alexander, Zoey, Logan, and Noah. Riley remarked, \"if Noah is an angel then (Alexander is a devil or Zoey is a devil or Logan is an angel)\". A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1208, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"or\", [\"telling-tr... | {"split": "train", "index": 10098} |
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, Sebastian, Penelope, and Noah. \"it is not the case that (if Penelope is a hero then Sebastian is a villain),\" Isabella declared. \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1209, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0]], [\"lying\", 2], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"telli... | {"split": "train", "index": 10099} |
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