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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 9 inhabitants: Liam, Avery, William, Aurora, Daniel, Grace, Victoria, Chloe, and Emma. \"if (Grace is a knave if and only if William is a knave) then (Chloe is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1932, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 5], [\"lying\", 2]], [\"not\", [\"lying\", 7]]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling...
{"split": "train", "index": 8600}
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 9 inhabitants: Jackson, Logan, Jacob, Aiden, Alexander, Ava, Noah, Mia, and Michael. According to Jackson, \"(Michael is an angel and Ava is a devil) or Michael is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1933, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 8], [\"lying\", 5]], [\"lying\", 8]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"lying\", 8]], [\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-tru...
{"split": "train", "index": 8601}
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 9 inhabitants: Grace, Avery, Logan, Abigail, Isabella, Harper, Alexander, Aurora, and Victoria. \"Avery is an angel,\" Grace declared. Avery said that (if Abigail is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1934, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\"...
{"split": "train", "index": 8602}
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 9 inhabitants: Samuel, Abigail, Aiden, Charlotte, Isabella, Lily, Luke, Ava, and Oliver. Samuel stated, \"(Aiden is a laggard or Oliver is a laggard) or (Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1935, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"lying\", 8]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"lying\", 7], [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"lying\", 7]]], [\"<=>\", [\"not\", ...
{"split": "train", "index": 8603}
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 9 inhabitants: Amelia, Harper, Elizabeth, Olivia, Lucas, Owen, Isabella, Grace, and Ava. Amelia remarked, \"(Owen is an egoist) if and only if (Olivia is an e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1936, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"<=>\", [\"lying\", 4], [\"or\", [\"telling...
{"split": "train", "index": 8604}
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 9 inhabitants: Daniel, Logan, Jack, Lily, Isabella, Amelia, Aria, David, and Liam. According to Daniel, \"if (Isabella is a sage if and only if Jack is a sage) then (if L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1937, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"not\", [\"not\", [\"lying\", 7]]], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [...
{"split": "train", "index": 8605}
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 9 inhabitants: Victoria, Evelyn, Samuel, Luke, Henry, Lucas, Oliver, Aurora, and Michael. Victoria expressed that Luke is a fool. As Evelyn put it, \"it is not the case t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1938, \"statements\": [[\"lying\", 3], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 6]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\...
{"split": "train", "index": 8606}
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 9 inhabitants: Mia, Penelope, Aria, Liam, Charlotte, Victoria, Emily, Noah, and William. Mia expressed that Victoria is a knave. Penelope expressed that (Mia is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1939, \"statements\": [[\"lying\", 5], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0]],...
{"split": "train", "index": 8607}
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 9 inhabitants: William, Jackson, Scarlett, Evelyn, Sebastian, Daniel, Michael, Harper, and Emma. William expressed that (Daniel is an altruist or Evelyn is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1940, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 8]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"-...
{"split": "train", "index": 8608}
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 9 inhabitants: Charlotte, Ella, Samuel, Luke, Noah, Zoey, Jackson, Scarlett, and Logan. Charlotte expressed that (Scarlett is a villain) or (Zoey is a villain and L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1941, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telli...
{"split": "train", "index": 8609}
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 9 inhabitants: Jacob, Jack, Scarlett, Zoey, Liam, Lily, Sophia, Avery, and Michael. Jacob commented, \"Michael is a saint\". Jack stated, \"(Avery is a saint) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1942, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"not\", [\"lying\", 7]], [\"telling-truth\", 7]], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [...
{"split": "train", "index": 8610}
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 9 inhabitants: Henry, Isabella, Penelope, Liam, Daniel, Noah, Sofia, David, and Mia. Henry said, \"(Isabella is a pioneer if and only if David is a pioneer) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1943, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"lying\", 8]], [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\...
{"split": "train", "index": 8611}
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 9 inhabitants: Samuel, Riley, Penelope, Mia, Matthew, Harper, Henry, Emily, and Oliver. Samuel noted, \"(Riley is a sinner) or (Henry is a sinner or Matthew is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1944, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 6], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 0]]], [\"not\", [\"or\", [\"lying\",...
{"split": "train", "index": 8612}
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 9 inhabitants: Charlotte, Mason, Isabella, Harper, Samuel, David, Evelyn, Alexander, and Joseph. \"it is not the case that (Isabella is a fool),\" Charlotte claimed. \"if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1945, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 7], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"not\", [\"or\", [\"lying\", 7], [\"telling-t...
{"split": "train", "index": 8613}
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 9 inhabitants: Abigail, David, James, Victoria, Isabella, Benjamin, Aiden, Penelope, and Jacob. Abigail told you that (Benjamin is a pioneer if and only if Ai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1946, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"lying\", 5]], [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 3]], [\"and\", [\"tellin...
{"split": "train", "index": 8614}
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 9 inhabitants: Jacob, James, Chloe, Mason, Avery, Joseph, Sebastian, Oliver, and Aria. \"(Joseph is a villain and Aria is a villain) and (if Aria is a villain then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1947, \"statements\": [[\"and\", [\"and\", [\"lying\", 5], [\"lying\", 8]], [\"->\", [\"lying\", 8], [\"lying\", 5]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 7], [\"telling...
{"split": "train", "index": 8615}
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 9 inhabitants: Zoey, Grace, Riley, Aria, Mason, Scarlett, Emily, Henry, and Ethan. Zoey expressed that (Riley is a knight and Ethan is a knave) and (Grace is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1948, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 8]], [\"not\", [\"lying\", 1]]], [\"lying\", 0], [\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 8]], [\"telling-truth\", 7]], [\"<=>\", [\...
{"split": "train", "index": 8616}
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 9 inhabitants: Grace, Amelia, Ella, Henry, Aria, Michael, Daniel, Evelyn, and James. Grace said, \"Daniel is an altruist.\" Amelia was heard saying, \"Ella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1949, \"statements\": [[\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 5], [\"lying\", 3]], [\"not\", [\"telling-truth\", 8]]], [\...
{"split": "train", "index": 8617}
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 9 inhabitants: Matthew, Sebastian, Liam, Emily, Ethan, Aurora, Sofia, William, and David. In Matthew's words: \"David is an egoist\". \"if (Ethan is an altrui...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1950, \"statements\": [[\"lying\", 8], [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"->\", [\"lying\", 8], [\"tel...
{"split": "train", "index": 8618}
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 9 inhabitants: Harper, Penelope, William, Avery, Ella, Mason, Isabella, Owen, and Alexander. Harper remarked, \"(Owen is a knave or Alexander is a knight) or (Isabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1951, \"statements\": [[\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 8]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 5]], [\...
{"split": "train", "index": 8619}
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 9 inhabitants: Owen, David, Victoria, Aiden, Sofia, Liam, William, Samuel, and Penelope. Owen stated, \"it is not the case that (Owen is a hero and Aiden is a hero)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1952, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 6]], [\"telling-truth\", 6]], [\"and\", [\"or\", [\"telling-tru...
{"split": "train", "index": 8620}
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 9 inhabitants: Olivia, Penelope, Jack, Lucas, Alexander, Riley, Benjamin, Daniel, and Amelia. \"(Lucas is a devil) if and only if (Amelia is a devil and Penelope is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1953, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 8], [\"lying\", 1]]], [\"->\", [\"telling-truth\", 1], [\"->\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"telling-...
{"split": "train", "index": 8621}
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 9 inhabitants: Samuel, James, Emma, Isabella, William, Sebastian, Aria, Jack, and Victoria. \"James is a sage,\" Samuel mentioned. \"if (Emma is a fool) then (Sebastian i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1954, \"statements\": [[\"not\", [\"lying\", 1]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", 4], [\"and\", [\"lying\", 8], [\"telling-truth\", 0]]], [\...
{"split": "train", "index": 8622}
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 9 inhabitants: Sophia, Penelope, Noah, Mason, Olivia, Logan, Ella, Isabella, and Aurora. \"Logan is a knave,\" Sophia declared. In Penelope's words: \"(Olivia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1955, \"statements\": [[\"not\", [\"telling-truth\", 5]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 5]], [\"telling-truth\", 7]], [\"not\", [\"or\", [\"lying\", 5], [\"lying\", 3]]], [\"and\", [\"lying\", 8], [\"n...
{"split": "train", "index": 8623}
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 9 inhabitants: Luke, Matthew, Emily, Aiden, Noah, William, Samuel, Evelyn, and Oliver. Luke noted, \"(Emily is a hero if and only if Aiden is a villain) and (Emily ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1956, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"->\", [\"or\", [\"lying\"...
{"split": "train", "index": 8624}
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 9 inhabitants: Noah, Matthew, Lily, Daniel, Oliver, Henry, Sofia, Evelyn, and Jackson. As Noah put it, \"(if Lily is an egoist then Sofia is an altruist) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1957, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"telling-truth\", 2], [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8]]]...
{"split": "train", "index": 8625}
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 9 inhabitants: Sebastian, Lucas, Mason, William, Benjamin, Chloe, Matthew, Abigail, and David. Sebastian remarked, \"it is not the case that (if William is an angel t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1958, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"telling-truth\", 8], [\"->\", [\"not\", [\"lying\", 6]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\"...
{"split": "train", "index": 8626}
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 9 inhabitants: Logan, Chloe, Daniel, David, Oliver, Ethan, Henry, Riley, and Joseph. In Logan's words: \"(Logan is a pioneer and Henry is a laggard) and (Chlo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1959, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 6]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"telling-truth\", 8...
{"split": "train", "index": 8627}
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 9 inhabitants: Matthew, David, Oliver, Amelia, Joseph, Owen, Mason, Aria, and Liam. \"Oliver is a hero and (Joseph is a hero if and only if David is a villain)\" - ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1960, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"an...
{"split": "train", "index": 8628}
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 9 inhabitants: Sebastian, Michael, Jack, Joseph, Amelia, Scarlett, Avery, Victoria, and Benjamin. As Sebastian put it, \"(Victoria is a hero or Amelia is a villain)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1961, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"->\", [\"lying\", 2], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\...
{"split": "train", "index": 8629}
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 9 inhabitants: Riley, Lily, Mason, Aiden, Evelyn, Ava, Penelope, Zoey, and Grace. Riley was heard saying, \"it is not the case that (Penelope is an egoist and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1962, \"statements\": [[\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 6], [\"lying\", 8]], [\"lying\", 6]], [\"lying\", 6], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", ...
{"split": "train", "index": 8630}
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 9 inhabitants: Aurora, William, Logan, David, Emily, Mason, Zoey, Luke, and Evelyn. Aurora stated, \"(William is a sage or Evelyn is a sage) or (Luke is a sage)\". Willia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1963, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"not\", [\"lying\", 7]]], [\"telling-truth\", 7], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-tru...
{"split": "train", "index": 8631}
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 9 inhabitants: Lily, Jack, Daniel, Harper, Jacob, Charlotte, Ava, Sebastian, and Aria. \"it is not the case that (Jack is a sage and Daniel is a sage),\" Lily declared. A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1964, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 7], [\"->\", [\"not\", [\"lying\", 3]], [\"lying\", 1]], [\"->\", [\"not\", [\"lying\", 5]], [\"or\", [\"lying\",...
{"split": "train", "index": 8632}
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 9 inhabitants: Sofia, Ella, Mason, Ethan, Sebastian, David, Aiden, Elizabeth, and Zoey. \"Sebastian is an altruist,\" Sofia claimed. Ella commented, \"Aiden i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1965, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 6], [\"not\", [\"telling-truth\", 7]], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [...
{"split": "train", "index": 8633}
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 9 inhabitants: Abigail, Scarlett, Harper, Samuel, Grace, Noah, Joseph, Luke, and Aiden. \"(Joseph is a knight) if and only if (if Scarlett is a knight then Scarlett...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1966, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"and\", ...
{"split": "train", "index": 8634}
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 9 inhabitants: Sebastian, Charlotte, Victoria, Aria, Lucas, Daniel, Emily, Sofia, and William. Sebastian stated, \"Aria is an egoist\". Charlotte remarked, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1967, \"statements\": [[\"lying\", 3], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"not\"...
{"split": "train", "index": 8635}
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 9 inhabitants: Aurora, Olivia, Michael, Emma, Samuel, Sebastian, Alexander, Emily, and Harper. \"Emily is a hero if and only if (Harper is a hero or Emily is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1968, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 8], [\"tellin...
{"split": "train", "index": 8636}
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 9 inhabitants: Scarlett, Logan, Emily, Joseph, Penelope, Noah, Daniel, Ava, and Liam. Scarlett noted, \"if (Joseph is a hero and Liam is a hero) then (Logan is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1969, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"telling-truth\", 0], [\"->\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\"...
{"split": "train", "index": 8637}
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 9 inhabitants: Isabella, Victoria, Daniel, Michael, Elizabeth, Luke, Sofia, Evelyn, and James. Isabella told you that (if Victoria is a knave then Daniel is a knigh...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1970, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"lying\", 6]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"t...
{"split": "train", "index": 8638}
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 9 inhabitants: Jacob, Grace, Jack, Riley, William, Luke, Liam, Owen, and James. Jacob expressed that Riley is an altruist or (if Luke is an altruist then Liam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1971, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5]], [\"->\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"telli...
{"split": "train", "index": 8639}
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 9 inhabitants: Isabella, Abigail, Olivia, Lily, Penelope, Alexander, William, David, and Daniel. Isabella commented, \"it is not the case that (Abigail is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1972, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]], [\"and\", [\"lying\", 7], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying...
{"split": "train", "index": 8640}
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 9 inhabitants: Oliver, Zoey, Isabella, Chloe, Penelope, Alexander, Michael, Lucas, and Noah. \"(Noah is an altruist) or (Alexander is an egoist and Michael is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1973, \"statements\": [[\"or\", [\"not\", [\"lying\", 8]], [\"and\", [\"lying\", 5], [\"lying\", 6]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]], [\"or\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [...
{"split": "train", "index": 8641}
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 9 inhabitants: Harper, Avery, Elizabeth, Aria, Alexander, Mia, Penelope, Sofia, and Charlotte. Harper noted, \"it is not the case that (Penelope is a devil)\". Avery ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1974, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 3], [...
{"split": "train", "index": 8642}
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 9 inhabitants: Grace, Amelia, Aria, Jacob, Lucas, Charlotte, Alexander, Michael, and Aiden. \"(Lucas is a knight) and (Michael is a knight),\" Grace claimed. Amelia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1975, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 7]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"telling-truth\", 5], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\"...
{"split": "train", "index": 8643}
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 9 inhabitants: Aurora, Olivia, Isabella, Alexander, Evelyn, Benjamin, Sofia, Noah, and Elizabeth. \"it is not the case that (Elizabeth is a villain)\" - Aurora. Oli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1976, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"telling-truth\", 8], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 6]], [\"->\", [\"telling...
{"split": "train", "index": 8644}
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 9 inhabitants: Benjamin, Aiden, Ethan, Avery, James, Charlotte, Oliver, Aurora, and Sofia. Benjamin expressed that James is a sage. According to Aiden, \"Ethan is a sage\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1977, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 2], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"->\", [\"and\", [\"telling-truth\", 2], ...
{"split": "train", "index": 8645}
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 9 inhabitants: Ethan, Lily, Zoey, Aria, Joseph, Alexander, Emily, Emma, and Matthew. As Ethan put it, \"if (Alexander is a fool or Lily is a sage) then (Alexander is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1978, \"statements\": [[\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 6]]], [\"->\", [\"<=>\", [\"lying\", ...
{"split": "train", "index": 8646}
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 9 inhabitants: Jacob, Penelope, Benjamin, Isabella, Victoria, Grace, Jackson, Sebastian, and Lucas. \"Penelope is an angel if and only if (Lucas is a devil if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1979, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"->\", [\"lying\", 2], [\"lying\", 6]]], [\"tel...
{"split": "train", "index": 8647}
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 9 inhabitants: Luke, Ella, Benjamin, Joseph, Oliver, Sophia, Mason, Ethan, and William. \"(William is a saint and Ethan is a sinner) if and only if (Sophia is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1980, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 3]], [\"and\", [\"telling-t...
{"split": "train", "index": 8648}
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 9 inhabitants: Michael, Samuel, Ethan, Elizabeth, Emma, Benjamin, Avery, Isabella, and Aria. In Michael's words: \"Aria is a knight\". Samuel said, \"Benjamin is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1981, \"statements\": [[\"telling-truth\", 8], [\"lying\", 5], [\"<=>\", [\"lying\", 5], [\"not\", [\"telling-truth\", 7]]], [\"lying\", 6], [\"lying\", 3], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\...
{"split": "train", "index": 8649}
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 9 inhabitants: Emily, Olivia, Logan, Evelyn, Penelope, Owen, Henry, William, and Riley. \"it is not the case that (Logan is a saint or Evelyn is a saint)\" - Emily....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1982, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 8], [\"...
{"split": "train", "index": 8650}
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 9 inhabitants: Riley, Charlotte, Zoey, Scarlett, Emily, Abigail, Aiden, Amelia, and Mason. \"Amelia is a pioneer and (if Charlotte is a laggard then Emily is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1983, \"statements\": [[\"and\", [\"telling-truth\", 7], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 5]]]...
{"split": "train", "index": 8651}
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 9 inhabitants: Joseph, Liam, Daniel, Mason, Ella, Grace, Oliver, Jackson, and Luke. \"if (Jackson is an angel if and only if Oliver is a devil) then Daniel is a devil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1984, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 6]], [\"lying\", 2]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"tel...
{"split": "train", "index": 8652}
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 9 inhabitants: Lily, Mia, Michael, Victoria, Noah, Ella, Aiden, Oliver, and Scarlett. In a statement by Lily: \"it is not the case that (Scarlett is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1985, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"telling-t...
{"split": "train", "index": 8653}
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 9 inhabitants: Benjamin, Chloe, Aurora, Jack, Lucas, Samuel, Aria, Avery, and Victoria. \"if (Samuel is a hero or Jack is a hero) then (Aria is a hero and Victoria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1986, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 0]], [\"lying\", 7],...
{"split": "train", "index": 8654}
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 9 inhabitants: Victoria, William, Aiden, Charlotte, Riley, Jack, Mia, Zoey, and Owen. Victoria remarked, \"(if Mia is a laggard then Charlotte is a pioneer) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1987, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"not\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"tellin...
{"split": "train", "index": 8655}
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 9 inhabitants: Zoey, Avery, James, Luke, Emily, Jack, Ava, Aiden, and Henry. According to Zoey, \"if Jack is an angel then (if Avery is an angel then Luke is an angel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1988, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"...
{"split": "train", "index": 8656}
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 9 inhabitants: Victoria, Liam, Amelia, Daniel, Zoey, Lucas, Henry, Jacob, and Charlotte. In a statement by Victoria: \"(Daniel is a devil if and only if Daniel is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1989, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"or\", [\"lying\", 0], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and...
{"split": "train", "index": 8657}
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 9 inhabitants: Amelia, Noah, William, Liam, Samuel, Grace, Daniel, Luke, and Chloe. \"it is not the case that (Grace is a hero if and only if Noah is a villain),\" ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1990, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"not\", [\"<=>\", [\"ly...
{"split": "train", "index": 8658}
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 9 inhabitants: Jacob, Matthew, Amelia, Avery, Emma, Mason, David, Sophia, and Noah. Jacob asserted: \"(if Amelia is an egoist then Emma is an egoist) and (Emm...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1991, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 7]]], [\"not\", [\...
{"split": "train", "index": 8659}
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 9 inhabitants: Henry, Sofia, Ava, Ethan, Oliver, Jacob, Noah, Samuel, and Sebastian. Henry was heard saying, \"if (Oliver is a laggard and Noah is a pioneer) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1992, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6]], [\"lying\", 7]], [\"and\", [\"t...
{"split": "train", "index": 8660}
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 9 inhabitants: Victoria, Noah, Evelyn, David, Charlotte, Emily, Liam, James, and Henry. Victoria said that it is not the case that (James is a knave). In a statemen...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1993, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 7]]], [\"telling-truth\", 5], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 6]], [\"and\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\...
{"split": "train", "index": 8661}
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 9 inhabitants: Emily, William, Victoria, Henry, Avery, Amelia, Riley, Jackson, and James. Emily stated, \"Victoria is a knight\". According to William, \"(Amelia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1994, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 4]], [\"tell...
{"split": "train", "index": 8662}
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 9 inhabitants: Ethan, Elizabeth, Sophia, Owen, Riley, Mason, Mia, Aria, and William. Ethan stated, \"(Mason is an egoist) if and only if (if Elizabeth is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1995, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 2]], [\"lying\", 2]], [\"<=>\", [\"not\", [\"lying\", 5]], ...
{"split": "train", "index": 8663}
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 9 inhabitants: Sebastian, Ava, Elizabeth, Jack, Benjamin, Mia, Riley, Harper, and Matthew. Sebastian remarked, \"if (Benjamin is a devil and Sebastian is an angel) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1996, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 4]], [\"or\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"lying\", 0], [\"l...
{"split": "train", "index": 8664}
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 9 inhabitants: Ethan, Emily, Liam, Lily, Noah, David, Henry, Jackson, and Oliver. \"it is not the case that (if Lily is a sinner then Liam is a saint)\" - Ethan. Em...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1997, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 3]], [\"or\", [\"telling-...
{"split": "train", "index": 8665}
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 9 inhabitants: Jack, James, Aiden, Elizabeth, Matthew, Oliver, Isabella, Zoey, and Mia. Jack said, \"it is not the case that (Isabella is a sage).\" James told you that M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1998, \"statements\": [[\"not\", [\"not\", [\"lying\", 6]]], [\"lying\", 4], [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 5]]], [\"->\", [\"not\", [\"telling-trut...
{"split": "train", "index": 8666}
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 9 inhabitants: Luke, Liam, Joseph, Aurora, Amelia, Samuel, Mia, Alexander, and Chloe. Luke remarked, \"if Samuel is a knave then (if Alexander is a knave then Mia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1999, \"statements\": [[\"->\", [\"lying\", 5], [\"->\", [\"lying\", 7], [\"lying\", 6]]], [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 8]], [\"and\", [\"te...
{"split": "train", "index": 8667}
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 9 inhabitants: Lily, Henry, Michael, Sophia, Ava, Amelia, William, Daniel, and Olivia. Lily expressed that (Michael is an angel or Ava is a devil) if and only if (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2000, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 6]]], [\"lying\", 8], [\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 8]], [\"and\", [\"telling-trut...
{"split": "train", "index": 8668}
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 9 inhabitants: Benjamin, David, Scarlett, Mason, Oliver, Jacob, Riley, Ethan, and Joseph. Benjamin was heard saying, \"(Joseph is a hero if and only if David is a v...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2001, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"not\", [\"or\", [\...
{"split": "train", "index": 8669}
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 9 inhabitants: Benjamin, Isabella, Lucas, Abigail, Aria, Emily, Evelyn, Daniel, and Aiden. Benjamin was heard saying, \"(Emily is a sinner if and only if Aria is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2002, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"lying\", 3]], [\"or\", [\"or\", [\"lying\",...
{"split": "train", "index": 8670}
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 9 inhabitants: Sofia, Michael, Isabella, Emily, Penelope, Logan, Scarlett, Luke, and James. \"(Emily is an altruist and Michael is an egoist) or Logan is an e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2003, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 5]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"->\"...
{"split": "train", "index": 8671}
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 9 inhabitants: Emily, Noah, Sofia, Daniel, Charlotte, Victoria, William, Emma, and Mia. Emily was heard saying, \"William is a pioneer\". In a statement by No...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2004, \"statements\": [[\"telling-truth\", 6], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"and\"...
{"split": "train", "index": 8672}
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 9 inhabitants: Sophia, Benjamin, Emma, Mason, Jacob, William, Chloe, Matthew, and Oliver. Sophia said, \"Matthew is a saint.\" Benjamin told you that it is not the ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2005, \"statements\": [[\"telling-truth\", 7], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"and\", [...
{"split": "train", "index": 8673}
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 9 inhabitants: Ethan, Evelyn, Sebastian, Jackson, Victoria, Daniel, Matthew, Logan, and Samuel. Ethan was heard saying, \"(if Evelyn is a villain then Logan is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2006, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 7]]], [\"->\", [\"and\", [\"lying\", ...
{"split": "train", "index": 8674}
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 9 inhabitants: Ella, Samuel, Penelope, Ava, Sofia, Joseph, Zoey, Benjamin, and Isabella. Ella expressed that if (Ella is a sage and Ava is a sage) then (Ava is a sage or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2007, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4],...
{"split": "train", "index": 8675}
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 9 inhabitants: Logan, Abigail, Victoria, Jacob, Ava, Amelia, Avery, Penelope, and Mason. Logan expressed that Victoria is an egoist or (Logan is an egoist). A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2008, \"statements\": [[\"or\", [\"lying\", 2], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 5], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]...
{"split": "train", "index": 8676}
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 9 inhabitants: Avery, Ava, Logan, Sebastian, Victoria, Olivia, Henry, Lucas, and Jackson. Avery was heard saying, \"(Jackson is a pioneer and Victoria is a la...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2009, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 8], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"telling-truth\", 0], [\"lying\", 0], [\"and\", [\"not\", [\"lying\", 8]], [\"te...
{"split": "train", "index": 8677}
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 9 inhabitants: Jackson, Elizabeth, Abigail, Jack, Scarlett, Penelope, Mia, Riley, and Ella. Jackson told you that it is not the case that (if Mia is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2010, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 7], [\"lying\", 6]]], [\"or\", [\"telling-truth\", 5]...
{"split": "train", "index": 8678}
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 9 inhabitants: Sofia, Victoria, Jackson, Jack, Mia, Liam, Luke, Harper, and Zoey. According to Sofia, \"Luke is a sage\". Victoria remarked, \"(Sofia is a sage and Luke i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2011, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-trut...
{"split": "train", "index": 8679}
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 9 inhabitants: Chloe, Alexander, Samuel, Luke, Jack, Jackson, Lucas, Joseph, and Oliver. As Chloe put it, \"it is not the case that (Jack is a saint if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2012, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"lying\", 4]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 7]], [\"<=>\", [\"lying\...
{"split": "train", "index": 8680}
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 9 inhabitants: Amelia, Sebastian, Mia, Logan, Avery, Daniel, Luke, Alexander, and Sofia. Amelia told you that (Sofia is an egoist and Alexander is an egoist) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2013, \"statements\": [[\"or\", [\"and\", [\"lying\", 8], [\"lying\", 7]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"lying\", 6], [\"<=>\", [\"a...
{"split": "train", "index": 8681}
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 9 inhabitants: Mia, Benjamin, Henry, Samuel, Penelope, Jacob, Evelyn, Elizabeth, and Olivia. Mia said that (Penelope is an egoist or Benjamin is an altruist) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2014, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"lying\", 5], [\"not...
{"split": "train", "index": 8682}
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 9 inhabitants: Sophia, Mason, Jack, Oliver, Jackson, Lucas, Abigail, Luke, and Jacob. Sophia told you that Luke is an angel. Mason expressed that if (if Oliver is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2015, \"statements\": [[\"not\", [\"lying\", 7]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"lying\", 2]], [\"and\", [\"lying\", 0], [\"and\", [\"lying\", 1], [\"lying\", 6]]], [\"and\", [\"and\", [\"telling...
{"split": "train", "index": 8683}
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 9 inhabitants: James, Jack, Riley, Lily, Alexander, Aurora, Jacob, Oliver, and Mia. James noted, \"if (Alexander is an egoist if and only if Oliver is an egoi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2016, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"lying\", 4], [\"and\", [\"->\", [\"lying\", 8], [\...
{"split": "train", "index": 8684}
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 9 inhabitants: Samuel, Logan, Scarlett, Chloe, Joseph, Zoey, Jackson, Lucas, and Olivia. In Samuel's words: \"Chloe is an angel\". Logan noted, \"(Lucas is a devil an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2017, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 6]], [\"not\", [\"lying\", 4]]], [\"lying\", 8], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"lying\", 5]], [\"<...
{"split": "train", "index": 8685}
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 9 inhabitants: Isabella, Charlotte, Olivia, Lucas, Alexander, Harper, Mason, David, and Evelyn. \"Alexander is an egoist\" - Isabella. \"(Harper is an egoist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2018, \"statements\": [[\"lying\", 4], [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]], [\"not\", [\"lying\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 8]], [\"<=>\", [\"or\", [\"lying\", 1], [\"...
{"split": "train", "index": 8686}
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 9 inhabitants: Ava, Jackson, Mia, Lily, Sofia, Victoria, Logan, Penelope, and Michael. In Ava's words: \"(Jackson is an egoist or Logan is an egoist) and (Vic...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2019, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"lying\", 6]], [\"and\", [\"lying\", 5], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 7], [...
{"split": "train", "index": 8687}
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 9 inhabitants: Jack, Sofia, Sophia, Emma, Samuel, Noah, Mia, Daniel, and Amelia. In Jack's words: \"(Samuel is an egoist) or Noah is an altruist\". Sofia rema...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2020, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 5]], [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"<=>\", [\"->\", [\"telling-truth\", 8]...
{"split": "train", "index": 8688}
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 9 inhabitants: Matthew, Ethan, Aurora, Zoey, Amelia, Aiden, Lucas, Chloe, and Noah. Matthew remarked, \"(Amelia is a villain and Noah is a hero) and Chloe is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2021, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 8]], [\"telling-truth\", 7]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\"lying\", 0]], [\"<=>\", [\"or\", [\"lying\", 5], [\"t...
{"split": "train", "index": 8689}
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 9 inhabitants: Emma, Harper, Alexander, Isabella, Amelia, Aiden, Liam, Penelope, and Avery. Emma asserted: \"Alexander is an altruist if and only if (if Liam ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2022, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 6]], [\"not\", [\"lying\", 5]]], [\"and\", [\"and\", [\"telling-...
{"split": "train", "index": 8690}
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 9 inhabitants: Lily, Owen, Lucas, Luke, Harper, Sebastian, Avery, Penelope, and Michael. In Lily's words: \"(Lucas is a hero if and only if Harper is a hero) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2023, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 5]...
{"split": "train", "index": 8691}
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 9 inhabitants: William, Joseph, David, Sofia, Lily, Elizabeth, Chloe, Harper, and Abigail. As William put it, \"it is not the case that (Sofia is a sinner or Abigai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2024, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"lying\", 4], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"an...
{"split": "train", "index": 8692}
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 9 inhabitants: Harper, Ethan, Avery, Emma, William, Isabella, Grace, Matthew, and Riley. \"Emma is a saint\" - Harper. Ethan remarked, \"William is a saint\". \"(Wi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2025, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 6]]], [\"telling-truth\", 6], [\"not\", [\"->\",...
{"split": "train", "index": 8693}
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 9 inhabitants: Daniel, Ella, Logan, Scarlett, Abigail, Lily, Riley, Victoria, and Lucas. In Daniel's words: \"(Victoria is a devil) or (Riley is an angel)\". In Ella'...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2026, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 6]]], [\"not\", [\"->\", [\"lying\", 6], [\"lying\", 3]]], [\"lying\", 4], [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\",...
{"split": "train", "index": 8694}
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 9 inhabitants: Benjamin, Logan, Olivia, Riley, Emma, Evelyn, Matthew, Zoey, and Chloe. Benjamin said, \"(Evelyn is an angel) and (Evelyn is an angel and Zoey is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2027, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 6]], [\"<=>\", [\"not\", [\"telling...
{"split": "train", "index": 8695}
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 9 inhabitants: Benjamin, Ava, Lily, Grace, William, Ethan, Harper, Victoria, and Henry. \"(Benjamin is a saint or Ava is a saint) or Benjamin is a saint,\" Benjamin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2028, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"or\", [\"lying\", 0], [\"lying\", 6]]], [\"not\",...
{"split": "train", "index": 8696}
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 9 inhabitants: Daniel, David, William, Logan, Noah, Luke, Ethan, Henry, and Liam. \"David is a sinner\" - Daniel. \"if Logan is a saint then (Logan is a saint),\" D...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2029, \"statements\": [[\"lying\", 1], [\"->\", [\"telling-truth\", 3], [\"not\", [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"not\", [\"ly...
{"split": "train", "index": 8697}
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 9 inhabitants: Charlotte, Aiden, Mason, Matthew, Daniel, William, Isabella, Oliver, and Avery. Charlotte told you that Avery is a devil. Aiden told you that (Oliver i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2030, \"statements\": [[\"lying\", 8], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 8], [\"lying\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 6...
{"split": "train", "index": 8698}
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 9 inhabitants: Joseph, Isabella, Benjamin, Liam, Harper, Owen, Emily, David, and Noah. Joseph remarked, \"(Isabella is a fool if and only if David is a sage) or (Owen is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2031, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 7]], [\"and\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"or\", [\"telling-tr...
{"split": "train", "index": 8699}