data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mia, Matthew, Samuel, Sebastian, and Emma. \"if (if Matthew is a saint then Samuel is a sinner) then Samuel is a sinner\" - Mia. Matthew told you tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1932, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"lying\", 2]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"lying\", 0], ... | {"split": "train", "index": 8600} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Noah, Jackson, Daniel, Michael, and Scarlett. \"(Scarlett is a hero and Michael is a villain) or Scarlett is a villain\" - Noah. Jackson stated, \"(N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1933, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"lying\", 4]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"no... | {"split": "train", "index": 8601} |
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: Emily, William, Aria, Owen, and Michael. \"if (Aria is a sinner or Emily is a saint) then (if Michael is a saint then Aria is a sinner),\" Emily clai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1934, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2],... | {"split": "train", "index": 8602} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Michael, Zoey, Victoria, William, and Joseph. \"(if Victoria is an altruist then William is an egoist) if and only if (William is an egoist or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1935, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 4]],... | {"split": "train", "index": 8603} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ethan, Logan, Matthew, Owen, and Harper. Ethan told you that (Matthew is a hero if and only if Matthew is a villain) and (Matthew is a villain and Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1936, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 3], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"<... | {"split": "train", "index": 8604} |
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, William, Jackson, Zoey, and Lucas. Aurora asserted: \"if (Jackson is an altruist if and only if William is an altruist) then (if Willia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1937, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [... | {"split": "train", "index": 8605} |
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: Harper, Evelyn, Joseph, Daniel, and Penelope. Harper expressed that if (Penelope is a knight or Harper is a knight) then (Penelope is a knave). Evely... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1938, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"o... | {"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 5 inhabitants: Mia, Liam, Aria, James, and Benjamin. Mia commented, \"it is not the case that (James is a knight and James is a knave)\". Liam commented, \"(if Mia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1939, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-t... | {"split": "train", "index": 8607} |
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: Emma, Jacob, William, Scarlett, and Daniel. \"if (Daniel is a saint and Scarlett is a saint) then (if Emma is a saint then Daniel is a saint),\" Emma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1940, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"or\", [\"tell... | {"split": "train", "index": 8608} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Oliver, Ella, Scarlett, and Grace. \"Scarlett is a knave\" - Jack. \"Ella is a knave,\" Oliver declared. Ella was heard saying, \"Jack is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1941, \"statements\": [[\"lying\", 3], [\"lying\", 2], [\"lying\", 0], [\"lying\", 0], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], \"solution\": [false, false, true, true, true], \"names\": [\"Jack\", \"Oliver\"... | {"split": "train", "index": 8609} |
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: Sebastian, Mason, Liam, Aiden, and Logan. Sebastian said that Mason is a devil. According to Mason, \"it is not the case that (Logan is a devil and Lia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1942, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 2]]], [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 8610} |
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: James, Avery, Alexander, Olivia, and Isabella. James asserted: \"(Isabella is a saint if and only if Olivia is a sinner) or (Olivia is a saint)\". Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1943, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\... | {"split": "train", "index": 8611} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lily, Elizabeth, Aria, Alexander, and Luke. Lily expressed that (Alexander is an altruist if and only if Aria is an altruist) or (Aria is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1944, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"ly... | {"split": "train", "index": 8612} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: David, Evelyn, Aria, Isabella, and Abigail. According to David, \"(Aria is an altruist or David is an altruist) and (Isabella is an altruist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1945, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"lying\", 0], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]... | {"split": "train", "index": 8613} |
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, Charlotte, Aria, Samuel, and Logan. \"Samuel is a hero\" - Michael. According to Charlotte, \"if (Aria is a hero and Michael is a hero) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1946, \"statements\": [[\"not\", [\"lying\", 3]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"-... | {"split": "train", "index": 8614} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Logan, Samuel, Isabella, and Aurora. Grace stated, \"if (Grace is a knight if and only if Logan is a knave) then (if Aurora is a knave then Is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1947, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 3], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\"... | {"split": "train", "index": 8615} |
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: Joseph, Evelyn, Aiden, Aurora, and Elizabeth. Joseph remarked, \"Evelyn is an egoist\". Evelyn was heard saying, \"(if Aurora is an egoist then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1948, \"statements\": [[\"lying\", 1], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"ly... | {"split": "train", "index": 8616} |
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: Charlotte, Jacob, Harper, Alexander, and Daniel. As Charlotte put it, \"Harper is a knave or (Alexander is a knave if and only if Harper is a knave)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1949, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"and\", [\"no... | {"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 5 inhabitants: Lily, Jack, Avery, Liam, and Elizabeth. As Lily put it, \"Jack is an egoist or (Avery is an altruist and Elizabeth is an altruist)\". \"it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1950, \"statements\": [[\"or\", [\"lying\", 1], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 3], [\"or\", [\"and\", [\"telling-tr... | {"split": "train", "index": 8618} |
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: Riley, William, Sebastian, Mia, and Isabella. According to Riley, \"(Sebastian is an egoist if and only if Isabella is an egoist) or (if Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1951, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]... | {"split": "train", "index": 8619} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Mia, Riley, Matthew, Samuel, and Liam. \"(Riley is a fool) or (Liam is a sage if and only if Samuel is a sage),\" Mia mentioned. According to Riley, \"(Sam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1952, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-tru... | {"split": "train", "index": 8620} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Chloe, Lily, Harper, Jacob, and Michael. According to Chloe, \"(Lily is an egoist) if and only if (Michael is an egoist and Chloe is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1953, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"l... | {"split": "train", "index": 8621} |
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: Matthew, Aurora, Benjamin, Isabella, and Grace. In a statement by Matthew: \"(if Matthew is a pioneer then Benjamin is a laggard) and (Benjamin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1954, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\"telling-truth\", 0]... | {"split": "train", "index": 8622} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ella, Sophia, David, Ava, and Noah. \"it is not the case that (Sophia is a hero and Sophia is a villain),\" Ella mentioned. Sophia asserted: \"it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1955, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"tel... | {"split": "train", "index": 8623} |
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: Noah, Elizabeth, Victoria, Abigail, and Mia. Noah was heard saying, \"Elizabeth is an egoist and (if Elizabeth is an altruist then Victoria is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1956, \"statements\": [[\"and\", [\"lying\", 1], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 1]], [... | {"split": "train", "index": 8624} |
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: Alexander, Sebastian, Noah, Sofia, and Jacob. Alexander asserted: \"(Noah is a saint and Jacob is a saint) and (Sebastian is a saint if and only if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1957, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 4], [\... | {"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 5 inhabitants: Mia, Amelia, Emily, Jack, and Henry. Mia said, \"(Mia is a devil) or (Jack is a devil or Mia is an angel).\" Amelia noted, \"(Emily is an angel and Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1958, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 0], [\"telling-tru... | {"split": "train", "index": 8626} |
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: David, Riley, Alexander, Ella, and Jacob. David asserted: \"(Jacob is a saint or Riley is a saint) or (Ella is a saint if and only if Riley is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1959, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0]... | {"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 5 inhabitants: Isabella, Luke, Olivia, David, and Riley. In a statement by Isabella: \"(David is a villain or Isabella is a hero) if and only if (Olivia is a hero o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1960, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1]... | {"split": "train", "index": 8628} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: David, Daniel, Matthew, Amelia, and Ella. According to David, \"it is not the case that (Matthew is a pioneer)\". \"David is a laggard,\" Danie... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1961, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"lying\", 0], [\"->\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 0], ... | {"split": "train", "index": 8629} |
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: Owen, Isabella, Alexander, Samuel, and Lily. Owen noted, \"it is not the case that (Samuel is a sinner and Lily is a sinner)\". \"(Owen is a saint an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1962, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"not\", [\"lying\", 0]], [... | {"split": "train", "index": 8630} |
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: Penelope, Jackson, Mia, Abigail, and Isabella. \"if (Mia is a knave or Abigail is a knave) then (Abigail is a knight),\" Penelope claimed. In Jackson... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1963, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"and\", [\"telling-truth\", 4], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\",... | {"split": "train", "index": 8631} |
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: Jacob, Ava, Grace, Aurora, and Avery. Jacob told you that (if Ava is a sinner then Avery is a saint) or (Aurora is a sinner or Avery is a sinner). Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1964, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telli... | {"split": "train", "index": 8632} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Isabella, Jack, Avery, Victoria, and Sophia. \"(Avery is an angel) or (Avery is a devil and Sophia is an angel),\" Isabella mentioned. Jack remarked, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1965, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\... | {"split": "train", "index": 8633} |
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: Aria, Grace, Owen, Victoria, and Michael. In a statement by Aria: \"if Michael is a sinner then (Grace is a sinner)\". \"it is not the case that (Mic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1966, \"statements\": [[\"->\", [\"lying\", 4], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"telling-truth\", 1], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", ... | {"split": "train", "index": 8634} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Aria, Mia, Jacob, and Jackson. In Benjamin's words: \"(Jackson is a knight) if and only if (Jacob is a knight if and only if Jackson is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1967, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 0], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 8635} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Evelyn, Aria, Michael, Daniel, and Olivia. In Evelyn's words: \"Olivia is a pioneer if and only if (Olivia is a pioneer or Aria is a laggard)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1968, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"lying\", 4], [\"and\", [\"lying\", 0], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"not\... | {"split": "train", "index": 8636} |
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: Elizabeth, Liam, Grace, Jackson, and Chloe. Elizabeth commented, \"(Chloe is a saint) and (Jackson is a saint if and only if Liam is a saint)\". Liam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1969, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"telling-truth\", 0], [\"<=>\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"and\", [\"and\... | {"split": "train", "index": 8637} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: William, Daniel, Sofia, Aria, and Charlotte. William commented, \"(if William is a saint then Aria is a saint) if and only if (if Daniel is a sinner ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1970, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 2]], [\"and\", [\"->\", [\"... | {"split": "train", "index": 8638} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Liam, Lily, Chloe, Olivia, and Riley. According to Liam, \"Lily is an angel or (if Olivia is an angel then Olivia is a devil)\". Lily told you that if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1971, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"telli... | {"split": "train", "index": 8639} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Jacob, Olivia, Abigail, and Isabella. As Zoey put it, \"(if Olivia is a pioneer then Zoey is a pioneer) and (Isabella is a pioneer or Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1972, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"te... | {"split": "train", "index": 8640} |
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, Michael, William, Samuel, and Henry. Emily said that it is not the case that (Michael is an angel or Henry is a devil). \"if (Emily is a devil i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1973, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 3... | {"split": "train", "index": 8641} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Benjamin, Michael, James, Sebastian, and Aurora. Benjamin noted, \"(Aurora is a sinner and Sebastian is a saint) or James is a sinner\". \"(Sebastian... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1974, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"lying\", 2]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\... | {"split": "train", "index": 8642} |
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, Harper, Penelope, Lucas, and Victoria. \"Victoria is a villain if and only if (Victoria is a villain if and only if Lucas is a hero),\" Mich... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1975, \"statements\": [[\"<=>\", [\"lying\", 4], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"lying\", 2], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 3]... | {"split": "train", "index": 8643} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Isabella, Olivia, Ava, Amelia, and Sofia. \"it is not the case that (Amelia is a pioneer and Olivia is a pioneer),\" Isabella declared. Olivia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1976, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 3]], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"... | {"split": "train", "index": 8644} |
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: Victoria, Ella, Lucas, Avery, and Ethan. Victoria asserted: \"Ella is a knight\". In a statement by Ella: \"Ella is a knight if and only if (Ella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1977, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\... | {"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 5 inhabitants: Michael, Emma, Zoey, Aurora, and Elizabeth. Michael said that (Aurora is a fool or Zoey is a sage) and (Michael is a sage and Emma is a sage). \"it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1978, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"t... | {"split": "train", "index": 8646} |
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, Matthew, Henry, William, and Logan. As Amelia put it, \"(Henry is a pioneer or Logan is a laggard) and (Amelia is a pioneer or William ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1979, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"not\", [\"lyin... | {"split": "train", "index": 8647} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Isabella, Jack, David, Ethan, and Amelia. Isabella said that (if Ethan is an angel then Isabella is an angel) if and only if David is a devil. Jack exp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1980, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"lying\", 2]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\"... | {"split": "train", "index": 8648} |
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: Joseph, Amelia, William, Sofia, and Sebastian. Joseph remarked, \"it is not the case that (William is an altruist or Sebastian is an egoist)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1981, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"lying\", 4]], [\"telling-truth\", 4], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\... | {"split": "train", "index": 8649} |
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: Elizabeth, Mia, Jackson, Lily, and Alexander. Elizabeth was heard saying, \"it is not the case that (Jackson is a knight)\". Mia stated, \"Jackson is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1982, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"lying\", 2]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"not\... | {"split": "train", "index": 8650} |
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: Isabella, Emily, Elizabeth, Benjamin, and Victoria. In a statement by Isabella: \"Benjamin is a knave\". Emily was heard saying, \"(Isabella is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1983, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-tr... | {"split": "train", "index": 8651} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Liam, Mason, David, Owen, and Oliver. Liam commented, \"Owen is a saint and (Oliver is a saint)\". Mason noted, \"(if Owen is a saint then Oliver is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1984, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"an... | {"split": "train", "index": 8652} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aria, Jack, Ava, Victoria, and Aiden. Aria noted, \"if (if Aiden is a hero then Victoria is a villain) then (Victoria is a hero or Aiden is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1985, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"telli... | {"split": "train", "index": 8653} |
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: Sebastian, Chloe, Samuel, Joseph, and Aria. Sebastian remarked, \"Sebastian is an angel\". \"if Joseph is a devil then (Joseph is an angel or Joseph is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1986, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"lying\", 3], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying... | {"split": "train", "index": 8654} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Benjamin, Mia, Owen, and Chloe. In a statement by Joseph: \"(if Owen is a villain then Benjamin is a hero) if and only if (if Chloe is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1987, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-trut... | {"split": "train", "index": 8655} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Charlotte, Ava, Alexander, Ella, and Chloe. \"it is not the case that (Alexander is a villain)\" - Charlotte. In Ava's words: \"Alexander is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1988, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"lying\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 0], [\"lying\", 3]]], [\"telling-truth\", 4], [\"->\", [\"n... | {"split": "train", "index": 8656} |
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: Logan, Liam, Harper, Evelyn, and Benjamin. Logan said, \"if (Logan is a hero if and only if Harper is a hero) then (if Logan is a hero then Harper is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1989, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], ... | {"split": "train", "index": 8657} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Owen, Samuel, Aria, and Mia. Oliver was heard saying, \"Aria is a knave\". In a statement by Owen: \"if (Samuel is a knave if and only if Sam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1990, \"statements\": [[\"lying\", 3], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"not\", [\"telling-t... | {"split": "train", "index": 8658} |
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: Logan, Lucas, Emma, Sebastian, and Luke. Logan commented, \"Emma is a fool\". \"(if Logan is a sage then Lucas is a sage) if and only if Luke is a sage,\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1991, \"statements\": [[\"lying\", 2], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"lying\", 2], [\"or\",... | {"split": "train", "index": 8659} |
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: Alexander, Jackson, Grace, Joseph, and Noah. \"(Jackson is a saint) if and only if (Grace is a sinner or Alexander is a saint)\" - Alexander. Jackson... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1992, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 3]], [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"lyin... | {"split": "train", "index": 8660} |
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: Noah, Benjamin, Charlotte, Liam, and Elizabeth. In Noah's words: \"it is not the case that (Elizabeth is an egoist)\". As Benjamin put it, \"Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1993, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 3], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\... | {"split": "train", "index": 8661} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Scarlett, Lily, Charlotte, Ella, and William. Scarlett remarked, \"if (Charlotte is a sinner) then (William is a sinner)\". Lily said that Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1994, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"lying\", 0]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 2],... | {"split": "train", "index": 8662} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Isabella, Aurora, Sofia, Lily, and Ethan. \"(if Sofia is a sage then Sofia is a fool) if and only if (Ethan is a fool or Sofia is a fool),\" Isabella decla... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1995, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"lying\", 0], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"telling-truth\", 4]], ... | {"split": "train", "index": 8663} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Lucas, Lily, Henry, and James. Zoey told you that (Lily is a laggard) if and only if Lily is a pioneer. Lucas stated, \"(Zoey is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1996, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\... | {"split": "train", "index": 8664} |
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: Liam, Zoey, Evelyn, Sophia, and Scarlett. Liam expressed that it is not the case that (if Zoey is a fool then Zoey is a sage). Zoey was heard saying, \"it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1997, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-... | {"split": "train", "index": 8665} |
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: Sofia, Charlotte, Chloe, William, and James. Sofia commented, \"it is not the case that (William is a hero)\". Charlotte said that Chloe is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1998, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"lying\", 2], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-trut... | {"split": "train", "index": 8666} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Liam, Aria, Oliver, David, and James. In a statement by Liam: \"(David is an altruist or Oliver is an altruist) or (Liam is an altruist and Ari... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1999, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"lying\", 3], [\"and\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"->\"... | {"split": "train", "index": 8667} |
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, Olivia, Jacob, Sophia, and Daniel. \"Jacob is a sinner if and only if (Jacob is a sinner)\" - Mia. Olivia said, \"if Jacob is a saint then (Dani... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2000, \"statements\": [[\"<=>\", [\"lying\", 2], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\... | {"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 5 inhabitants: Lucas, Ethan, Lily, Aiden, and David. Lucas was heard saying, \"if (Aiden is a hero or David is a villain) then (David is a villain or Lily is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2001, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lyin... | {"split": "train", "index": 8669} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jacob, Victoria, Harper, Aurora, and Amelia. In Jacob's words: \"(Aurora is a villain or Victoria is a hero) if and only if (if Victoria is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2002, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]... | {"split": "train", "index": 8670} |
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, Charlotte, Jacob, Oliver, and Daniel. Jackson expressed that Jacob is a saint. \"(Jackson is a sinner and Daniel is a saint) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2003, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], ... | {"split": "train", "index": 8671} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Avery, Ava, Elizabeth, Matthew, and Emma. Avery stated, \"Matthew is an angel\". \"it is not the case that (if Emma is an angel then Avery is a devil),... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2004, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"lying\", 1], [\"and\", [\"telling-truth\", 1... | {"split": "train", "index": 8672} |
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: Avery, Lily, Mia, Mason, and Liam. Avery expressed that (Liam is an altruist and Mia is an altruist) or (Lily is an egoist if and only if Mason... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2005, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-trut... | {"split": "train", "index": 8673} |
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, Lily, Oliver, Grace, and Aria. \"Oliver is a sinner\" - Jackson. In Lily's words: \"(if Oliver is a sinner then Grace is a sinner) and (Aria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2006, \"statements\": [[\"lying\", 2], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-tr... | {"split": "train", "index": 8674} |
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: Jack, Ava, Amelia, David, and Isabella. Jack remarked, \"(Isabella is a hero or Ava is a hero) if and only if David is a villain\". \"(Jack is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2007, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 3]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\"... | {"split": "train", "index": 8675} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Michael, Logan, Ethan, Lucas, and Aria. In a statement by Michael: \"if (Logan is a fool or Lucas is a fool) then (if Logan is a fool then Aria is a fool)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2008, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"-... | {"split": "train", "index": 8676} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Olivia, Jackson, Harper, Aria, and Alexander. Olivia said, \"(Jackson is an egoist and Alexander is an egoist) and (Alexander is an egoist if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2009, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"te... | {"split": "train", "index": 8677} |
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, Aiden, Jack, Chloe, and James. \"(Jack is a saint and James is a sinner) and (Chloe is a saint),\" Sofia mentioned. As Aiden put it, \"if (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2010, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lyin... | {"split": "train", "index": 8678} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sebastian, Chloe, Matthew, Jackson, and James. In a statement by Sebastian: \"(Matthew is an egoist or Sebastian is an altruist) and (Chloe is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2011, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 8679} |
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: Samuel, Michael, Chloe, Aria, and Scarlett. \"(Michael is an egoist or Scarlett is an egoist) and (Chloe is an altruist or Aria is an egoist),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2012, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 0], [\"and\", [\"<... | {"split": "train", "index": 8680} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Lucas, Mia, James, and Avery. Michael told you that (Avery is a sinner and Lucas is a saint) or (if Michael is a saint then James is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2013, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 3]... | {"split": "train", "index": 8681} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: James, Aria, Olivia, Abigail, and Amelia. James noted, \"(Olivia is a villain or James is a hero) if and only if (Abigail is a hero or Aria is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2014, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"lying\", 3], [\"not... | {"split": "train", "index": 8682} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Scarlett, Owen, Oliver, Harper, and Mason. Scarlett was heard saying, \"Owen is an egoist\". Owen asserted: \"(Scarlett is an altruist or Mason... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2015, \"statements\": [[\"lying\", 1], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\"... | {"split": "train", "index": 8683} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Penelope, Chloe, Logan, Charlotte, and Joseph. Penelope noted, \"it is not the case that (Charlotte is a devil or Chloe is an angel)\". Chloe remarked,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2016, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 8684} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Henry, Sebastian, David, Jackson, and Samuel. Henry stated, \"if (Samuel is a fool) then (if Jackson is a sage then David is a sage)\". Sebastian said that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2017, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-t... | {"split": "train", "index": 8685} |
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: Mason, Amelia, Michael, Isabella, and Harper. Mason asserted: \"if Amelia is a sage then Amelia is a fool\". \"Isabella is a sage,\" Amelia declared. In a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2018, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 3], [\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"tel... | {"split": "train", "index": 8686} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ethan, Avery, Emily, Zoey, and Sebastian. \"it is not the case that (Zoey is a saint),\" Ethan declared. Avery noted, \"Zoey is a saint or (Sebastian... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2019, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\... | {"split": "train", "index": 8687} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Chloe, Harper, Mia, and Sofia. Joseph remarked, \"Sofia is a hero\". Chloe said that (if Mia is a villain then Chloe is a hero) and (Mia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2020, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"not\"... | {"split": "train", "index": 8688} |
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, Sophia, Ava, Lucas, and Samuel. According to Harper, \"(Lucas is a saint) and Samuel is a sinner\". Sophia told you that it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2021, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"lying\", 4]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"not\", [\"not\", [\"lying\", 1]]], [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"lyin... | {"split": "train", "index": 8689} |
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: Henry, Emma, Sebastian, Abigail, and Victoria. \"if Henry is a saint then (Victoria is a sinner and Abigail is a sinner),\" Henry declared. Emma was ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2022, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"lying\", 4]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"tell... | {"split": "train", "index": 8690} |
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: Zoey, Grace, Oliver, Harper, and Riley. \"(Harper is an altruist and Zoey is an altruist) or (if Oliver is an altruist then Riley is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2023, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], ... | {"split": "train", "index": 8691} |
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: Emily, Avery, Riley, Samuel, and Sofia. In a statement by Emily: \"if (if Sofia is a hero then Samuel is a villain) then (Riley is a villain)\". Aver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2024, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"<=>\", ... | {"split": "train", "index": 8692} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ethan, William, Lily, Luke, and Evelyn. Ethan told you that Lily is a pioneer. William commented, \"Lily is a pioneer\". Lily asserted: \"(Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2025, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"lying\", 0], [\"lying\", 1]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth... | {"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 5 inhabitants: Lily, Zoey, Emily, Jack, and Jacob. In a statement by Lily: \"it is not the case that (Lily is an angel if and only if Jack is an angel)\". Zoey said, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2026, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\... | {"split": "train", "index": 8694} |
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: Lucas, Ella, Emma, Abigail, and Olivia. In a statement by Lucas: \"(Abigail is an altruist or Abigail is an egoist) and (Emma is an egoist or E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2027, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"or\",... | {"split": "train", "index": 8695} |
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: Zoey, Ethan, Evelyn, Penelope, and Mia. \"(Zoey is an altruist or Ethan is an egoist) or Zoey is an altruist,\" Zoey mentioned. Ethan stated, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2028, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 0],... | {"split": "train", "index": 8696} |
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: Oliver, Jackson, Evelyn, Noah, and Liam. Oliver said that if (if Evelyn is a pioneer then Liam is a pioneer) then Liam is a laggard. In Jackson... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2029, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lying\", 4]], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"or... | {"split": "train", "index": 8697} |
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: Jacob, Ella, Samuel, William, and Mia. \"Mia is a sinner,\" Jacob claimed. Ella stated, \"(Mia is a saint if and only if Jacob is a sinner) and (Jaco... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2030, \"statements\": [[\"lying\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"l... | {"split": "train", "index": 8698} |
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: Elizabeth, Riley, Aurora, Evelyn, and Noah. Elizabeth said, \"it is not the case that (if Riley is a knave then Riley is a knight).\" In Riley's word... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2031, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\... | {"split": "train", "index": 8699} |
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