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 altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mia, Oliver, Avery, David, and Zoey. Mia stated, \"((Avery is an egoist) and (Oliver is an egoist if and only if Zoey is an altruist)) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2166, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\... | {"split": "train", "index": 15500} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Logan, Isabella, Oliver, Lucas, and Amelia. Logan commented, \"if ((if Oliver is a saint then Amelia is a sinner) if and only if (Isabella is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2167, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-tru... | {"split": "train", "index": 15501} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Emily, Victoria, Sebastian, and Chloe. According to William, \"Emily is a knight and Sebastian is a knave\". \"(if Chloe is a knave then (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2168, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"->\", [\"lying\", 4], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"te... | {"split": "train", "index": 15502} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lucas, Mia, Henry, Elizabeth, and Ella. \"if ((Mia is a devil) or (Elizabeth is an angel if and only if Mia is a devil)) then (if (Elizabeth is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2169, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]]], [\"<=>\", [\"->\"... | {"split": "train", "index": 15503} |
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, Elizabeth, Penelope, Lucas, and Daniel. \"it is not the case that (if (if Daniel is a sage then Elizabeth is a fool) then (Daniel is a sage if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2170, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"not\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"->\",... | {"split": "train", "index": 15504} |
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, Olivia, Sebastian, Jack, and Avery. Zoey expressed that if ((Sebastian is an angel) if and only if (Olivia is a devil and Sebastian is an angel))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2171, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"lying\", 3]], [\"->\", [\"->\", [\"lying\", 3], [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lyin... | {"split": "train", "index": 15505} |
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, Alexander, Benjamin, Matthew, and Avery. \"Benjamin is an egoist\" - Ethan. \"((Ethan is an altruist if and only if Benjamin is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2172, \"statements\": [[\"lying\", 2], [\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 3], [\"and\", [\"telling-truth\", 4], [\"ly... | {"split": "train", "index": 15506} |
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, Aria, William, Avery, and Isabella. Oliver expressed that (if Oliver is an altruist then (Isabella is an altruist)) or Isabella is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2173, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"not\", [\"lying\", 4]]], [\"lying\", 4]], [\"telling-truth\", 1], [\"->\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-tr... | {"split": "train", "index": 15507} |
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, Alexander, Olivia, Charlotte, and William. \"Charlotte is an altruist and ((Amelia is an egoist) if and only if (William is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2174, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"and\", [\"lying\", 0], [\"lying\", 2]]], [\"telling-truth... | {"split": "train", "index": 15508} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Ava, Aiden, Jacob, and Emma. As Olivia put it, \"if (Aiden is a knight) then (if (Jacob is a knight or Emma is a knight) then (Ava is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2175, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"->\", [\"and\", [\"<=>\", [\"lying\", 2], [\... | {"split": "train", "index": 15509} |
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, Mason, Grace, Owen, and Mia. Michael told you that ((if Mia is a villain then Grace is a villain) or (Mason is a hero)) if and only if (if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2176, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"or\", ... | {"split": "train", "index": 15510} |
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: Owen, Abigail, Victoria, Mia, and Samuel. Owen told you that if (it is not the case that (Abigail is an angel and Owen is an angel)) then ((if Owen is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2177, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"and\", [... | {"split": "train", "index": 15511} |
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, Riley, Lily, Sofia, and Ava. Noah told you that (if (Noah is a sinner) then (if Riley is a saint then Noah is a saint)) if and only if (if (Ril... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2178, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"t... | {"split": "train", "index": 15512} |
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, Elizabeth, Aurora, Noah, and Benjamin. Grace remarked, \"(it is not the case that (Elizabeth is a laggard if and only if Elizabeth is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2179, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]]], [\"telling-truth\", 2], [\"telling... | {"split": "train", "index": 15513} |
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, Owen, Luke, Olivia, and Oliver. Jack was heard saying, \"if ((Luke is an altruist and Olivia is an altruist) if and only if (Olivia is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2180, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 2]]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 2]... | {"split": "train", "index": 15514} |
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, Sophia, Oliver, Olivia, and Mia. \"Oliver is a laggard and (if (Sophia is a pioneer or Olivia is a laggard) then Joseph is a pioneer),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2181, \"statements\": [[\"and\", [\"lying\", 2], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 0]... | {"split": "train", "index": 15515} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Noah, Olivia, Abigail, and William. \"it is not the case that (Olivia is a knave and (Abigail is a knave and Abigail is a knight)),\" Matthe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2182, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"lying\"... | {"split": "train", "index": 15516} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jack, Ethan, Jacob, William, and Luke. \"(it is not the case that (William is a devil and Ethan is a devil)) or (it is not the case that (Luke is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2183, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"not\", [\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-tr... | {"split": "train", "index": 15517} |
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, Jacob, Ethan, Oliver, and Alexander. Lily told you that if ((Alexander is a knight if and only if Alexander is a knave) or (Oliver is a knave))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2184, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]]], [... | {"split": "train", "index": 15518} |
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, Abigail, Benjamin, Victoria, and Ava. Harper asserted: \"(Ava is a saint and (if Abigail is a sinner then Victoria is a sinner)) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2185, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"<=>\", [\"or\", [... | {"split": "train", "index": 15519} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Evelyn, Sophia, Owen, Mason, and Logan. \"((Mason is a hero) if and only if (if Mason is a villain then Owen is a villain)) or ((if Evelyn is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2186, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"... | {"split": "train", "index": 15520} |
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: Amelia, Evelyn, Oliver, Emma, and Jackson. Amelia said, \"(Oliver is an angel or (if Amelia is an angel then Jackson is an angel)) or ((Evelyn is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2187, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"tellin... | {"split": "train", "index": 15521} |
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, David, Jackson, Ethan, and Samuel. Ella told you that it is not the case that (it is not the case that (David is a pioneer or Jackson is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2188, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"lying\", 4]], [\"not\", [\"<=>\", [\"telling-truth... | {"split": "train", "index": 15522} |
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, Mason, Samuel, Avery, and Grace. As Chloe put it, \"((Mason is a fool if and only if Grace is a sage) if and only if Avery is a fool) and Mason is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2189, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"lying\", 3]], [\"telling-truth\", 1]], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"telling-... | {"split": "train", "index": 15523} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jackson, Daniel, Ethan, Charlotte, and Lily. Jackson remarked, \"Charlotte is a laggard\". Daniel remarked, \"Jackson is a pioneer\". Ethan com... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2190, \"statements\": [[\"lying\", 3], [\"telling-truth\", 0], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>... | {"split": "train", "index": 15524} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lucas, Grace, Ava, Samuel, and Daniel. \"((Samuel is a hero and Ava is a hero) and (if Ava is a hero then Samuel is a villain)) if and only if (if (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2191, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->... | {"split": "train", "index": 15525} |
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, Mia, Harper, Avery, and Ella. Jack said, \"it is not the case that (Mia is an altruist if and only if (Ella is an altruist)).\" According... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2192, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"lying\", 4]]]], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"tellin... | {"split": "train", "index": 15526} |
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: Amelia, Elizabeth, Emma, Chloe, and Grace. \"((Elizabeth is a pioneer) or Grace is a pioneer) if and only if (it is not the case that (Grace is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2193, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 4]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 1]]]], [\"->\", [\"telling-truth\", 2], [\"not\", [\"not\", [\"telling-truth\", 1]]]... | {"split": "train", "index": 15527} |
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, Liam, Abigail, Jacob, and Jack. Matthew was heard saying, \"(it is not the case that (Abigail is a saint or Jacob is a sinner)) and ((Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2194, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"and\", [\"... | {"split": "train", "index": 15528} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Matthew, Zoey, Samuel, Olivia, and Isabella. Matthew said, \"(Zoey is a sage and (Samuel is a sage if and only if Isabella is a sage)) if and only if (it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2195, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"and\", [\"<=>\", [\"or\", [\"lying... | {"split": "train", "index": 15529} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Owen, Jacob, Jackson, and Lily. In Mia's words: \"((Jackson is a knight if and only if Owen is a knight) and (if Lily is a knight then Jacob is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2196, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 4]... | {"split": "train", "index": 15530} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Owen, Elizabeth, Abigail, Daniel, and Matthew. As Owen put it, \"(if (Abigail is a pioneer and Daniel is a pioneer) then (Abigail is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2197, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 15531} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Abigail, Joseph, Jackson, Alexander, and Samuel. Abigail noted, \"(Joseph is a devil) or (if Jackson is an angel then (Joseph is an angel if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2198, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]... | {"split": "train", "index": 15532} |
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: Emily, Isabella, Henry, Noah, and Alexander. \"Alexander is a fool,\" Emily claimed. Isabella remarked, \"((if Alexander is a sage then Noah is a fool) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2199, \"statements\": [[\"lying\", 4], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"lying\", 4]], [\"and\", [\"and\", [\"not\", [\"lying\"... | {"split": "train", "index": 15533} |
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, Michael, Samuel, Charlotte, and Harper. Aiden remarked, \"Samuel is a knight and (Samuel is a knight)\". Michael expressed that Charlotte is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2200, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"not\", [\"lying\", 2]]], [\"lying\", 3], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 0], [\"lying\", 1]]], [\"and\", [\"... | {"split": "train", "index": 15534} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emma, Sophia, Victoria, Jackson, and Lucas. In a statement by Emma: \"it is not the case that (Lucas is a pioneer and (Victoria is a pioneer if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2201, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"n... | {"split": "train", "index": 15535} |
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, Lily, Charlotte, Mason, and Emma. Alexander was heard saying, \"Charlotte is a sage and (if Mason is a sage then (Charlotte is a fool if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2202, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 0], [\"telling-trut... | {"split": "train", "index": 15536} |
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, Avery, Victoria, Olivia, and David. Jack asserted: \"it is not the case that ((Jack is a pioneer and Olivia is a laggard) and (Victoria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2203, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"and\", [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"not\", [\"tell... | {"split": "train", "index": 15537} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Penelope, Zoey, Charlotte, Grace, and Ethan. Penelope said that it is not the case that ((Zoey is an altruist if and only if Charlotte is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2204, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\"... | {"split": "train", "index": 15538} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Samuel, Penelope, William, Grace, and Emma. Samuel remarked, \"((Penelope is a hero or Emma is a villain) and (Samuel is a hero or William is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2205, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"lying\", 2]], [\"telling-truth\", 0], [\"lying\", 4], [\"and\", [\"and\", [\"te... | {"split": "train", "index": 15539} |
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: Luke, Scarlett, Mia, Elizabeth, and Henry. In a statement by Luke: \"((Mia is a hero or Scarlett is a hero) and (if Henry is a villain then Elizabeth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2206, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"lying\", 3], [\"->\", [\"lying\", 4], [\"lying\", 1]]]], [\"o... | {"split": "train", "index": 15540} |
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: Harper, Lucas, Benjamin, Ava, and Aurora. Harper stated, \"((Benjamin is a devil and Harper is an angel) if and only if (Aurora is an angel if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2207, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"<=>\", [\"and\"... | {"split": "train", "index": 15541} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Evelyn, Oliver, Ella, and Ava. \"Ava is a villain,\" Alexander claimed. \"Ava is a hero\" - Evelyn. Oliver noted, \"Ava is a hero\". \"((A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2208, \"statements\": [[\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 4], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"tell... | {"split": "train", "index": 15542} |
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, Amelia, Michael, Liam, and Zoey. Mia was heard saying, \"(it is not the case that (Michael is an egoist if and only if Liam is an egoist))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2209, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"not\... | {"split": "train", "index": 15543} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aurora, Penelope, Luke, James, and Logan. Aurora was heard saying, \"if (James is an egoist if and only if Logan is an egoist) then (if (if Pen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2210, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"and\", [\"or\", [\"->\", [\"lying\",... | {"split": "train", "index": 15544} |
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: Lily, David, Charlotte, Noah, and Zoey. Lily stated, \"if (it is not the case that (if Noah is a sage then David is a sage)) then ((Lily is a sage or Charl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2211, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"->\", [\"not\... | {"split": "train", "index": 15545} |
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, Victoria, David, Elizabeth, and Samuel. \"(Elizabeth is an altruist) or (it is not the case that (Samuel is an altruist if and only if Vic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2212, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"<=>\", [\"or\", [\"<=>\", [\... | {"split": "train", "index": 15546} |
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, Owen, Jacob, Olivia, and Aria. In a statement by Matthew: \"((Olivia is an altruist or Aria is an egoist) and (Jacob is an altruist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2213, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling... | {"split": "train", "index": 15547} |
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, James, Emma, Matthew, and Sofia. Victoria told you that it is not the case that ((Victoria is a devil) if and only if (James is a devil if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2214, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]]], [\"lying\", 4], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"lying\... | {"split": "train", "index": 15548} |
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, Grace, Liam, Charlotte, and Mia. Alexander said, \"it is not the case that (Liam is a sage and (Liam is a sage and Charlotte is a sage)).\" \"Ch... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2215, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"or\", [\"lying\", 3], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"l... | {"split": "train", "index": 15549} |
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, Noah, Sophia, Liam, and Ava. Emily was heard saying, \"((Ava is a devil or Noah is a devil) if and only if (Noah is a devil or Noah is an angel)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2216, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4],... | {"split": "train", "index": 15550} |
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: Chloe, Mason, Logan, James, and Lily. \"((Mason is a villain if and only if James is a hero) if and only if (Logan is a hero if and only if Chloe is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2217, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"... | {"split": "train", "index": 15551} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ava, Sophia, Lily, Jackson, and Evelyn. \"(Sophia is a devil if and only if Evelyn is a devil) if and only if ((if Evelyn is an angel then Lily is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2218, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"or\", [... | {"split": "train", "index": 15552} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Zoey, Luke, Olivia, and Lily. Alexander remarked, \"if ((Lily is a hero or Zoey is a villain) if and only if (Lily is a villain if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2219, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"and\", [\"and\", [\"tel... | {"split": "train", "index": 15553} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Ella, Charlotte, Victoria, and Mason. \"(Victoria is a knave or (Charlotte is a knave if and only if Charlotte is a knight)) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2220, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"->\", [\"... | {"split": "train", "index": 15554} |
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, Amelia, Joseph, Avery, and Riley. Sofia noted, \"Amelia is a sinner\". In Amelia's words: \"((Avery is a sinner or Riley is a saint) and (Rile... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2221, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 2], [\"->\", [\"lying\", 3], [\"telli... | {"split": "train", "index": 15555} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Noah, William, Scarlett, Henry, and Matthew. Noah noted, \"it is not the case that ((Henry is a fool and Henry is a sage and Scarlett is a sage) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 0, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]]], [\"or\", [\"telling-truth\", 1], [\"->\", [\"and\", [\"lying\", 0], [\"telling-tru... | {"split": "train", "index": 15556} |
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: David, Riley, Ella, Mason, and Sophia. \"Mason is a knave,\" David claimed. Riley said that if Mason is a knight then ((Mason is a knight and David i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1, \"statements\": [[\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"not\", [\"<=>\", [\"and\", [\"lyi... | {"split": "train", "index": 15557} |
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, Emily, Zoey, and Sebastian. Liam noted, \"Zoey is a villain\". In a statement by Jackson: \"((Jackson is a hero if and only if Emily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2, \"statements\": [[\"lying\", 3], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"lying\", 0]], ... | {"split": "train", "index": 15558} |
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: Ella, William, Harper, Benjamin, and Sophia. In a statement by Ella: \"(Harper is a devil) if and only if (if (Harper is a devil and Harper is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 3, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling... | {"split": "train", "index": 15559} |
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: Aiden, Penelope, Mia, Scarlett, and Samuel. In a statement by Aiden: \"if (if (Samuel is a laggard or Mia is a pioneer) then Scarlett is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 4, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0... | {"split": "train", "index": 15560} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Olivia, Samuel, William, Owen, and Joseph. In Olivia's words: \"(if Joseph is a hero then (Owen is a villain if and only if Joseph is a hero)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 5, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"lying\", 1]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"lying\... | {"split": "train", "index": 15561} |
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: Penelope, Jackson, Isabella, Olivia, and Michael. \"((Jackson is a sinner or Penelope is a saint or Isabella is a saint) or (if Isabella is a sinner ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 6, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [... | {"split": "train", "index": 15562} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jacob, Sophia, James, Samuel, and Olivia. Jacob asserted: \"Sophia is a fool\". Sophia commented, \"((Samuel is a sage) if and only if (if Jacob is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 7, \"statements\": [[\"lying\", 1], [\"or\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"and\", [\"telling-truth\", 0], [\"<=... | {"split": "train", "index": 15563} |
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: Luke, Sofia, Harper, Isabella, and Henry. As Luke put it, \"Harper is a villain\". \"(Isabella is a villain if and only if (Luke is a villain if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 8, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"and\", [\"<=>\", [\"lying\", 3], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 0],... | {"split": "train", "index": 15564} |
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, Mason, Scarlett, Ella, and James. Jackson noted, \"it is not the case that (it is not the case that (James is a sinner and Ella is a saint a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 9, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"a... | {"split": "train", "index": 15565} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Charlotte, Luke, Daniel, Mia, and Benjamin. Charlotte commented, \"if (if (Daniel is a devil or Luke is a devil) then (Benjamin is an angel if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 10, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\... | {"split": "train", "index": 15566} |
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, Matthew, Sofia, Michael, and Abigail. Riley was heard saying, \"((if Matthew is a devil then Michael is an angel) or (Abigail is a devil or Mich... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 11, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"... | {"split": "train", "index": 15567} |
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: Olivia, Isabella, Jackson, Daniel, and Victoria. \"Victoria is a laggard,\" Olivia declared. Isabella remarked, \"it is not the case that ((Vic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 12, \"statements\": [[\"lying\", 4], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 0]]], [\"and\", [\"telling-truth\", 3], [\"->\", ... | {"split": "train", "index": 15568} |
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, Avery, Sebastian, Daniel, and Abigail. In a statement by Riley: \"Daniel is an angel\". As Avery put it, \"(Sebastian is an angel or (Riley is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 13, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"telling-truth\", 2], [\"or\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling... | {"split": "train", "index": 15569} |
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, William, Oliver, Emily, and Charlotte. Jackson told you that Emily is a sinner. \"((Oliver is a sinner and Oliver is a saint) and (William i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 14, \"statements\": [[\"lying\", 3], [\"or\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 2], [\"or\", [\... | {"split": "train", "index": 15570} |
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, Elizabeth, Owen, Penelope, and Jack. Noah told you that (if (Elizabeth is a devil and Noah is an angel and Owen is a devil) then (Jack is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 15, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 2... | {"split": "train", "index": 15571} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Samuel, William, Owen, Abigail, and Penelope. \"Abigail is a villain,\" Samuel claimed. William said, \"if (if (Penelope is a villain or Abigail is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 16, \"statements\": [[\"lying\", 3], [\"->\", [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"telling-tr... | {"split": "train", "index": 15572} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mia, Sebastian, Penelope, Avery, and Emily. Mia said, \"Penelope is a saint or (it is not the case that (if Penelope is a sinner then Penelope is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 17, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 1], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"not\", [\"<=>\", [\"not\", [\"... | {"split": "train", "index": 15573} |
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, Lucas, Noah, Amelia, and Daniel. Sebastian told you that it is not the case that (if (Noah is a villain or Lucas is a hero or Daniel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 18, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"<=>\", [\"not\", [\"and\", [\"lying\", 4]... | {"split": "train", "index": 15574} |
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: Victoria, Sebastian, Alexander, Isabella, and Henry. \"Isabella is a hero if and only if (if (Henry is a hero) then (Isabella is a villain and Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 19, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 2]]]], [\"lying\", 0], [\"or\", [\"not\", [\"<=>\", [\"lying\", 1], [\"te... | {"split": "train", "index": 15575} |
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, Grace, Ella, Jacob, and Ethan. In Owen's words: \"(it is not the case that (Ethan is an egoist)) if and only if ((Jacob is an altruist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 20, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"n... | {"split": "train", "index": 15576} |
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, Harper, Owen, Elizabeth, and Luke. \"if Elizabeth is a sage then (if (Harper is a fool if and only if Harper is a sage) then (Owen is a fool or Harpe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 21, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 1]]]], [\"<=>\", [\"lying\", 3], [\"->\", [\"or\", [\"telling-truth\", 3], ... | {"split": "train", "index": 15577} |
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, Matthew, Lucas, Grace, and Jacob. Ethan commented, \"if ((Grace is an altruist if and only if Matthew is an egoist) if and only if (if G... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 22, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lyi... | {"split": "train", "index": 15578} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Alexander, Victoria, Joseph, and Noah. Emma asserted: \"Alexander is a knave\". Alexander was heard saying, \"((Victoria is a knave and Emma is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 23, \"statements\": [[\"lying\", 1], [\"and\", [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"not\",... | {"split": "train", "index": 15579} |
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, Sofia, Victoria, Noah, and David. \"((Noah is a villain or Sofia is a hero or David is a hero) or (Sofia is a villain and Sofia is a hero and V... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 24, \"statements\": [[\"and\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 3]]], [\"telli... | {"split": "train", "index": 15580} |
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, Lily, Michael, Oliver, and Mason. Charlotte asserted: \"((Mason is a laggard) or Oliver is a laggard) if and only if (if (Michael is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 25, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 3]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-... | {"split": "train", "index": 15581} |
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: Ella, Scarlett, Jackson, Chloe, and Luke. Ella expressed that ((Luke is an altruist if and only if Chloe is an egoist) and (Chloe is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 26, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"not\", [\"<=>\", [\"not\", [\"lying\", 4... | {"split": "train", "index": 15582} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jackson, Liam, Mia, Chloe, and Aria. \"((Chloe is a fool and Mia is a sage) and Aria is a sage) if and only if ((Mia is a fool) if and only if (Liam is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 27, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"<=>\"... | {"split": "train", "index": 15583} |
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: James, Owen, Zoey, Mason, and Joseph. In a statement by James: \"((if James is a sage then Owen is a sage) if and only if (if Mason is a fool then Joseph i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 28, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 4],... | {"split": "train", "index": 15584} |
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, Evelyn, Jackson, Harper, and Alexander. Joseph commented, \"Jackson is a saint or ((Harper is a sinner) or (Evelyn is a sinner and Alexander ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 29, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lyin... | {"split": "train", "index": 15585} |
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, Avery, Abigail, Ava, and Benjamin. \"Ava is a knave if and only if (if (Abigail is a knave if and only if Amelia is a knight) then (Avery is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 30, \"statements\": [[\"<=>\", [\"lying\", 3], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [\"or\", [\"not\", [\"lying\", 3]], [\"n... | {"split": "train", "index": 15586} |
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, Jack, Samuel, Ella, and Riley. Daniel expressed that Jack is an angel or ((Riley is a devil if and only if Ella is an angel) and (Riley is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 31, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"tel... | {"split": "train", "index": 15587} |
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: Logan, Abigail, Chloe, Evelyn, and Emma. Logan stated, \"if ((Emma is a laggard or Evelyn is a pioneer or Chloe is a pioneer) and (Evelyn is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 32, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 4]], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 1],... | {"split": "train", "index": 15588} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Daniel, Isabella, Amelia, Penelope, and Lucas. According to Daniel, \"Isabella is a sinner\". According to Isabella, \"if (if (Isabella is a saint an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 33, \"statements\": [[\"lying\", 1], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 3]]]], [\"<=>\", [\"l... | {"split": "train", "index": 15589} |
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, Joseph, Jackson, Noah, and Penelope. Harper noted, \"if ((if Harper is a sage then Penelope is a sage) and (if Noah is a fool then Joseph is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 34, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"tellin... | {"split": "train", "index": 15590} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jackson, Henry, Matthew, James, and Ava. In Jackson's words: \"if (if (if James is a devil then Henry is a devil) then (Ava is an angel and Henry is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 35, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\... | {"split": "train", "index": 15591} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Alexander, Joseph, Lucas, and Aiden. Emily said, \"(Emily is a knight and (if Lucas is a knave then Aiden is a knave) and (Lucas is a knave if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 36, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"l... | {"split": "train", "index": 15592} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Charlotte, Emma, Alexander, and Oliver. Logan expressed that ((if Charlotte is a knave then Oliver is a knave) or (Alexander is a knave if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 37, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 4],... | {"split": "train", "index": 15593} |
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: Scarlett, James, Mia, Chloe, and Grace. \"Mia is a devil,\" Scarlett mentioned. James said, \"if ((if Scarlett is a devil then James is an angel) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 38, \"statements\": [[\"lying\", 2], [\"->\", [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 2]],... | {"split": "train", "index": 15594} |
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, Lucas, Jacob, Benjamin, and Ethan. Henry was heard saying, \"((Lucas is a villain and Ethan is a hero) if and only if (Benjamin is a hero if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 39, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"t... | {"split": "train", "index": 15595} |
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: Lily, David, Amelia, Evelyn, and Alexander. In Lily's words: \"((Amelia is a sage or David is a sage or Evelyn is a sage) and (Lily is a sage and Alexander... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 40, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth... | {"split": "train", "index": 15596} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Sophia, Aurora, Sebastian, and Mia. Ethan commented, \"it is not the case that (it is not the case that (Mia is a knave if and only if Sophia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 41, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"lying\", 0], [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 3], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]],... | {"split": "train", "index": 15597} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aiden, Oliver, Ava, Daniel, and Joseph. Aiden remarked, \"if Joseph is an altruist then ((Daniel is an altruist) or Oliver is an egoist or (Dan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 42, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 1], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"<=>\"... | {"split": "train", "index": 15598} |
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, Elizabeth, Sophia, James, and Oliver. Jack expressed that James is a laggard or ((Oliver is a laggard or Elizabeth is a pioneer) or (Soph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 43, \"statements\": [[\"or\", [\"lying\", 3], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]],... | {"split": "train", "index": 15599} |
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