data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Joseph, Mason, Harper, Luke, and Penelope. Joseph commented, \"((if Mason is an egoist then Penelope is an altruist) or Luke is an egoist) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1922, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"lying\", 3]], [\"lying\", 2], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=... | {"split": "train", "index": 19700} |
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, David, Harper, Owen, and Noah. Jack said, \"David is a knave if and only if ((Owen is a knave and Harper is a knave and David is a knight and N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1923, \"statements\": [[\"<=>\", [\"lying\", 1], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"telling-truth\", 1], [\"->\... | {"split": "train", "index": 19701} |
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: Harper, Ella, Amelia, Emily, and Grace. Harper expressed that ((if Amelia is a laggard then Grace is a laggard) or (Grace is a pioneer or Ameli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1924, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [... | {"split": "train", "index": 19702} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Isabella, Emily, David, Aiden, and Henry. \"((if Emily is a saint then Isabella is a saint) and (if Emily is a sinner then Emily is a saint) and (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1925, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"->\", [\"lying\", 3... | {"split": "train", "index": 19703} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lucas, Owen, Jack, Luke, and Mason. Lucas said that ((Mason is a laggard) if and only if (Jack is a pioneer and Mason is a pioneer and Luke is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1926, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 0]], [\"and\", [... | {"split": "train", "index": 19704} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Evelyn, Penelope, Emma, Harper, and Owen. According to Evelyn, \"(if (Owen is an egoist if and only if Evelyn is an altruist) then (Owen is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1927, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 0], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"... | {"split": "train", "index": 19705} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Chloe, Scarlett, Liam, Jack, and Mia. Chloe told you that ((Jack is a hero or Scarlett is a villain) or (Chloe is a hero if and only if Mia is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1928, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 3], [\"tellin... | {"split": "train", "index": 19706} |
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, Jackson, William, Victoria, and Zoey. Jacob expressed that Victoria is a villain. Jackson was heard saying, \"if ((Victoria is a hero) or (Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1929, \"statements\": [[\"lying\", 3], [\"->\", [\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\"... | {"split": "train", "index": 19707} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ava, Sebastian, Alexander, Elizabeth, and William. \"(it is not the case that (if William is a devil then Sebastian is a devil)) if and only if ((Alexa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1930, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"tel... | {"split": "train", "index": 19708} |
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, Jacob, Grace, Owen, and Victoria. \"(it is not the case that (Owen is a knave or Victoria is a knave or Owen is a knight)) or ((Grace is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1931, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 4... | {"split": "train", "index": 19709} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jack, Samuel, Sebastian, Oliver, and Ava. Jack was heard saying, \"if ((Oliver is an egoist and Ava is an altruist and Sebastian is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1932, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 1], [\"and\",... | {"split": "train", "index": 19710} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Amelia, Henry, Harper, Isabella, and Ava. In a statement by Amelia: \"Ava is a sinner\". Henry told you that Isabella is a saint. In a statement by H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1933, \"statements\": [[\"lying\", 4], [\"telling-truth\", 3], [\"<=>\", [\"lying\", 1], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 19711} |
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: Zoey, Alexander, Aurora, Chloe, and Harper. \"Alexander is a sage,\" Zoey mentioned. \"Aurora is a sage,\" Alexander mentioned. Aurora said that it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1934, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 2], [\"not\", [\"or\", [\"lying\", 3], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [... | {"split": "train", "index": 19712} |
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, Chloe, Mia, Henry, and Ava. David commented, \"(if (if Ava is a saint then Mia is a saint) then (David is a saint or Ava is a sinner or Mia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1935, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"not\", [\"lying\", 1]],... | {"split": "train", "index": 19713} |
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, Matthew, Benjamin, James, and Avery. In David's words: \"(it is not the case that (Avery is an egoist)) if and only if ((Benjamin is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1936, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4... | {"split": "train", "index": 19714} |
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, Evelyn, Victoria, Penelope, and Ava. \"((Evelyn is a sinner if and only if Ava is a sinner) if and only if (Evelyn is a sinner if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1937, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 3], [\"<=>\", [\"lying\"... | {"split": "train", "index": 19715} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Oliver, Avery, Joseph, Luke, and Henry. According to Oliver, \"Oliver is a sage or (if (Luke is a fool or Henry is a fool or Avery is a fool or Avery is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1938, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]]], [\"and\", [\"and\", [\"->\", [\"lying\", 4], [\"te... | {"split": "train", "index": 19716} |
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, William, Aiden, Ella, and Elizabeth. Scarlett said, \"Ella is an egoist.\" William told you that it is not the case that (Aiden is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1939, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"lying\", 3], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"lying\"... | {"split": "train", "index": 19717} |
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, Charlotte, Aria, Ella, and Elizabeth. Victoria remarked, \"((Aria is a knight or Victoria is a knight or Ella is a knight or Charlotte is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1940, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"tell... | {"split": "train", "index": 19718} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Victoria, Ethan, Jackson, Liam, and Owen. Victoria stated, \"it is not the case that ((Owen is a pioneer) if and only if (Liam is a pioneer if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1941, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"not\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telli... | {"split": "train", "index": 19719} |
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: Zoey, Logan, James, Sebastian, and Daniel. \"Daniel is a villain and ((if James is a hero then Sebastian is a hero) or (Logan is a villain)),\" Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1942, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]]], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2... | {"split": "train", "index": 19720} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Sebastian, Daniel, Noah, and Harper. Lily asserted: \"Harper is a knight or (it is not the case that (Noah is a knight and Sebastian is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1943, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 19721} |
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: Logan, Matthew, Scarlett, Luke, and Oliver. In Logan's words: \"Scarlett is an altruist\". \"if ((Logan is an altruist) if and only if Matthew ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1944, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 1]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]]], [\"<=>\", [... | {"split": "train", "index": 19722} |
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: Zoey, Scarlett, Ella, Charlotte, and Evelyn. Zoey said that it is not the case that (if (Zoey is a saint or Charlotte is a sinner or Ella is a saint)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1945, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]... | {"split": "train", "index": 19723} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emily, Chloe, Aiden, Aurora, and Lily. Emily said that (if (Chloe is a sage) then (if Lily is a sage then Aiden is a sage)) and (Aiden is a fool) and ((Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1946, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"te... | {"split": "train", "index": 19724} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Victoria, Mason, Benjamin, Abigail, and Aurora. Victoria expressed that ((Benjamin is a laggard if and only if Benjamin is a pioneer) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1947, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 2]]], [\"lying\", 1]], [\"telling-truth\", 0], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\",... | {"split": "train", "index": 19725} |
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: Emma, Harper, Lily, Ethan, and Liam. \"Liam is a villain\" - Emma. Harper remarked, \"if ((Emma is a hero) and (Emma is a villain and Ethan is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1948, \"statements\": [[\"lying\", 4], [\"->\", [\"and\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"tell... | {"split": "train", "index": 19726} |
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: Sofia, Aria, Alexander, Ava, and Jacob. \"(it is not the case that (Sofia is an egoist)) or (if (if Aria is an altruist then Ava is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1949, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 1]], [\"o... | {"split": "train", "index": 19727} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lily, Emily, Joseph, Aiden, and Aurora. Lily told you that ((Lily is a sage or Aurora is a fool or Aiden is a fool) or (Emily is a sage) or Aurora is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1950, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 1]], [\"telling-truth\", 4], [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"not\", [\"ly... | {"split": "train", "index": 19728} |
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, Ethan, Ava, Lily, and Alexander. James said that Ethan is a hero. \"Ava is a villain,\" Ethan declared. Ava was heard saying, \"if James is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1951, \"statements\": [[\"telling-truth\", 1], [\"lying\", 2], [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"<=>\", [\"and\... | {"split": "train", "index": 19729} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Alexander, Ethan, David, and Ava. \"Ava is a knight,\" Aiden mentioned. \"Aiden is a knight or (if Aiden is a knave then Ethan is a knave),\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1952, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 0], [\"lying\", 2]]], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 0], [\... | {"split": "train", "index": 19730} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Abigail, Lily, Matthew, and Harper. Logan asserted: \"it is not the case that (if (Matthew is a knave or Lily is a knight or Harper is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1953, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"not\", [\"and\", [\"->\", [\"te... | {"split": "train", "index": 19731} |
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, Sophia, Aiden, Abigail, and Liam. Henry said, \"((Sophia is a sinner or Abigail is a saint) and Sophia is a sinner and (Henry is a saint and L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1954, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"lying\", 1], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\"... | {"split": "train", "index": 19732} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Sofia, Daniel, Samuel, and Olivia. Sebastian expressed that ((Daniel is a knave) or (Sebastian is a knave) or (Samuel is a knave or Olivia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1955, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"l... | {"split": "train", "index": 19733} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Charlotte, Ava, Daniel, and William. Lily stated, \"it is not the case that (it is not the case that (if Lily is a knight then Ava is a knave))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1956, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"or\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 0], [\"telling-truth\", 0]]], [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [... | {"split": "train", "index": 19734} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Olivia, Michael, Penelope, Matthew, and Isabella. Olivia expressed that if ((if Penelope is a hero then Michael is a hero) and (Penelope is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1957, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"lying\", 3], [\"tellin... | {"split": "train", "index": 19735} |
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: Sofia, Aurora, Lily, William, and Sebastian. According to Sofia, \"if (Sofia is an angel or (if Lily is an angel then Aurora is an angel) or (if Aurora... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1958, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"telli... | {"split": "train", "index": 19736} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Daniel, Matthew, Chloe, and Ava. \"it is not the case that (it is not the case that (Ava is a knight or Daniel is a knave)),\" Samuel declare... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1959, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\... | {"split": "train", "index": 19737} |
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: Daniel, Scarlett, Noah, Michael, and Ella. Daniel stated, \"(Ella is a pioneer) and Scarlett is a pioneer\". Scarlett remarked, \"((Scarlett is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1960, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\... | {"split": "train", "index": 19738} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lucas, David, Amelia, Jack, and Ethan. As Lucas put it, \"it is not the case that (if (Jack is a laggard and Jack is a pioneer and David is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1961, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"->\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-t... | {"split": "train", "index": 19739} |
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, Penelope, Isabella, Harper, and Jackson. Amelia was heard saying, \"Penelope is a pioneer\". Penelope stated, \"(it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1962, \"statements\": [[\"not\", [\"lying\", 1]], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-trut... | {"split": "train", "index": 19740} |
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, Henry, William, Oliver, and Lily. Aurora commented, \"(it is not the case that (William is an egoist)) or ((Lily is an egoist if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1963, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 4], [\"or\", [\"te... | {"split": "train", "index": 19741} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ella, Daniel, Matthew, Penelope, and Joseph. Ella commented, \"(Penelope is a laggard if and only if (Penelope is a laggard)) and (Matthew is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1964, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 2], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\... | {"split": "train", "index": 19742} |
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: Luke, Chloe, Zoey, Oliver, and Penelope. Luke said that Chloe is an egoist. \"if Oliver is an altruist then (it is not the case that (Penelope ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1965, \"statements\": [[\"lying\", 1], [\"->\", [\"telling-truth\", 3], [\"not\", [\"not\", [\"lying\", 4]]]], [\"not\", [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]]],... | {"split": "train", "index": 19743} |
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: Ava, Jackson, Riley, Chloe, and Grace. \"((Grace is a pioneer and Chloe is a laggard and Grace is a laggard) and Grace is a pioneer) and ((Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1966, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 4]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 2], [\"or\", [\"telling-truth\", 3]... | {"split": "train", "index": 19744} |
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: Penelope, Evelyn, Riley, Sophia, and Lily. Penelope stated, \"(Sophia is a villain or (Evelyn is a villain if and only if Sophia is a villain) or (Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1967, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-t... | {"split": "train", "index": 19745} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Owen, Henry, Aria, Scarlett, and James. As Owen put it, \"(it is not the case that (Owen is an angel if and only if James is an angel)) or ((Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1968, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"tell... | {"split": "train", "index": 19746} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Noah, Aurora, Lucas, and Elizabeth. Avery stated, \"Noah is a knight\". In Noah's words: \"((Elizabeth is a knight if and only if Aurora is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1969, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lyi... | {"split": "train", "index": 19747} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ethan, Victoria, Elizabeth, Jack, and Mia. In a statement by Ethan: \"it is not the case that (Victoria is an egoist and (if Jack is an egoist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1970, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"telling-truth\", 4], [\"->\", [\"lying\", 1], [\"<=>\", [\"lying\", 4], [\"->\", [\"lying\", 3], [\"lying\", 4]]... | {"split": "train", "index": 19748} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Daniel, Emily, Jack, Harper, and Ethan. Daniel said, \"Harper is a fool.\" \"((Ethan is a fool or Jack is a fool or Ethan is a sage) if and only if (Ethan ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1971, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 0]]],... | {"split": "train", "index": 19749} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ella, Riley, Alexander, Penelope, and Emily. In Ella's words: \"(it is not the case that (Penelope is an angel and Emily is an angel)) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1972, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"lying\", 4], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"and\", [\"and\", [\"->\", [\"tellin... | {"split": "train", "index": 19750} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Charlotte, Samuel, Chloe, Michael, and Aurora. According to Charlotte, \"(Aurora is a sage) and Samuel is a sage and ((if Charlotte is a sage then Chloe is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1973, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 4]]]], [\"and... | {"split": "train", "index": 19751} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Henry, Sebastian, Joseph, Daniel, and Sofia. Henry commented, \"((Joseph is a villain) or (Henry is a hero and Sebastian is a villain)) and ((Henry i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1974, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\... | {"split": "train", "index": 19752} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Victoria, Daniel, Harper, and Sebastian. \"((Victoria is a knave) if and only if (Lily is a knight or Daniel is a knave or Harper is a knight o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1975, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]... | {"split": "train", "index": 19753} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Jack, Charlotte, Ethan, and Scarlett. \"(if (Sebastian is a knight if and only if Jack is a knave) then (Sebastian is a knave)) or ((if Et... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1976, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 3]], [\"or\", [\... | {"split": "train", "index": 19754} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Avery, Benjamin, Aiden, Grace, and Liam. Avery noted, \"Liam is a hero\". Benjamin stated, \"it is not the case that ((Grace is a hero if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1977, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 3]]]], [\"and\", [\"lying\", 3], [\"->\", [\"lying\", 0], [\"or\", [\"lying\", 4], [\"t... | {"split": "train", "index": 19755} |
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: Luke, Evelyn, Victoria, Sophia, and Elizabeth. Luke remarked, \"(if (Luke is an altruist if and only if Evelyn is an egoist) then (if Victoria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1978, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"te... | {"split": "train", "index": 19756} |
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: Ella, Emily, Jack, Matthew, and Amelia. Ella said, \"((Emily is a saint and Amelia is a sinner and Jack is a saint and Amelia is a saint) and (Amelia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1979, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth... | {"split": "train", "index": 19757} |
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: Penelope, Ethan, Emma, Mia, and Emily. In a statement by Penelope: \"it is not the case that (it is not the case that (Mia is a hero and Emma is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1980, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 1]]]], [\"telling-truth\", 2], [\"->\", [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0], [\"telling-tr... | {"split": "train", "index": 19758} |
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, Sebastian, Alexander, Zoey, and Amelia. Noah told you that (Alexander is a hero or Alexander is a villain or (Noah is a villain)) and (if (Amel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1981, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\", 4]], [\"tell... | {"split": "train", "index": 19759} |
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: James, Ava, Zoey, Amelia, and Matthew. James noted, \"(if (Ava is an altruist and Matthew is an altruist) then (Matthew is an altruist and Zoey... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1982, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 1]], [\"-... | {"split": "train", "index": 19760} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Oliver, Aria, Olivia, and Sebastian. Avery noted, \"((Sebastian is a knight) if and only if (Avery is a knight or Olivia is a knight or Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1983, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3]]], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"<=... | {"split": "train", "index": 19761} |
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, David, Elizabeth, Penelope, and Jackson. Mia expressed that if (if (Jackson is a saint) then Jackson is a sinner) then David is a saint. As Davi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1984, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 4]], [\"lying\", 4]], [\"telling-truth\", 1]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 4... | {"split": "train", "index": 19762} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aria, Evelyn, Elizabeth, Mia, and Jackson. Aria was heard saying, \"if (Mia is a sage or Jackson is a sage or (Jackson is a fool or Aria is a sage or Jacks... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1985, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"lying\", 1], [\"or\", [\"telling-... | {"split": "train", "index": 19763} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lily, Henry, Liam, William, and Ella. As Lily put it, \"((William is a laggard and Liam is a laggard and Henry is a pioneer and William is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1986, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]... | {"split": "train", "index": 19764} |
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: Abigail, Michael, Charlotte, Zoey, and Jack. Abigail commented, \"it is not the case that (if Zoey is a laggard then (Michael is a laggard or C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1987, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\",... | {"split": "train", "index": 19765} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lily, Mia, Jack, Penelope, and Liam. Lily stated, \"(Mia is a villain) and Penelope is a hero and Jack is a villain\". Mia was heard saying, \"Penelo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1988, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 3], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 0], [\"tellin... | {"split": "train", "index": 19766} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Noah, Emily, Charlotte, David, and Logan. In a statement by Noah: \"it is not the case that ((Logan is a saint or Emily is a saint or David is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1989, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\",... | {"split": "train", "index": 19767} |
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: Elizabeth, Amelia, Benjamin, Daniel, and Michael. Elizabeth commented, \"Benjamin is a sage\". Amelia asserted: \"(it is not the case that (Amelia is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1990, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lyin... | {"split": "train", "index": 19768} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Oliver, Sofia, Daniel, Luke, and Noah. Oliver noted, \"(it is not the case that (Luke is an angel and Luke is a devil and Daniel is a devil and Noah is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1991, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 19769} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sebastian, Owen, Penelope, Alexander, and Ella. Sebastian expressed that Owen is a villain and Ella is a hero and (if (Alexander is a villain or Pene... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1992, \"statements\": [[\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\... | {"split": "train", "index": 19770} |
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, Penelope, Henry, Scarlett, and Aria. William commented, \"((Aria is a saint if and only if Scarlett is a saint) or Henry is a sinner or (Sca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1993, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 2], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"tel... | {"split": "train", "index": 19771} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Noah, William, Daniel, and Amelia. Samuel told you that ((William is a knave or Daniel is a knight) if and only if (Samuel is a knight if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1994, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 4]... | {"split": "train", "index": 19772} |
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, Sophia, Mia, Elizabeth, and Scarlett. Aurora was heard saying, \"if Mia is an altruist then (Mia is an altruist)\". Sophia was heard sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1995, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"not\", [\"lying\", 2]]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 0]]], [\"not\", [\"and\", [\"lying\", 0], [\... | {"split": "train", "index": 19773} |
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, William, Samuel, Logan, and Abigail. \"(it is not the case that (Logan is an altruist)) and (if (Samuel is an altruist or Samuel is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1996, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"lying\", 2], [\"l... | {"split": "train", "index": 19774} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Owen, Zoey, Evelyn, Benjamin, and Lucas. \"((if Owen is a pioneer then Benjamin is a laggard) if and only if (Zoey is a laggard)) or ((Lucas is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1997, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 3]], [\"te... | {"split": "train", "index": 19775} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sebastian, Sofia, Logan, Ella, and Emma. Sebastian told you that ((Ella is a laggard) or Emma is a laggard) if and only if (Ella is a laggard o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1998, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"tel... | {"split": "train", "index": 19776} |
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, Aurora, Aria, Jacob, and Daniel. Charlotte remarked, \"if (if (Aurora is a hero or Jacob is a hero or Daniel is a hero) then (Aurora is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1999, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 4], [\"t... | {"split": "train", "index": 19777} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Daniel, Ethan, Noah, Abigail, and Jack. In a statement by Daniel: \"((Jack is a sinner) and Jack is a sinner and (Noah is a sinner)) and ((Ethan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2000, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 4], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 19778} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Michael, Riley, Elizabeth, and Ava. \"it is not the case that (if (if Elizabeth is a knight then Michael is a knight) then Ava is a knave),\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2001, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 1], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 3],... | {"split": "train", "index": 19779} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Abigail, Riley, Oliver, David, and Jacob. Abigail stated, \"if (if (Oliver is an angel or David is an angel) then (Riley is a devil or Oliver is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2002, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 0]], ... | {"split": "train", "index": 19780} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Owen, Sophia, Joseph, Daniel, and Harper. Owen noted, \"((if Joseph is a laggard then Owen is a pioneer) if and only if Harper is a laggard) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2003, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-tr... | {"split": "train", "index": 19781} |
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, Samuel, Owen, William, and Ella. \"(Ella is a villain if and only if (Aria is a hero or Ella is a hero or Owen is a villain)) and (if (Samuel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2004, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"not\",... | {"split": "train", "index": 19782} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Logan, Benjamin, Avery, Emily, and Aurora. \"Emily is a saint,\" Logan mentioned. In Benjamin's words: \"it is not the case that ((Logan is a sinner)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2005, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0],... | {"split": "train", "index": 19783} |
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, Logan, Noah, William, and Scarlett. In a statement by Mia: \"((Logan is an angel) or (if Logan is an angel then William is an angel) or (Scarlett ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2006, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\... | {"split": "train", "index": 19784} |
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, David, Scarlett, Aurora, and Harper. Lily asserted: \"((Scarlett is an altruist or Lily is an altruist or Aurora is an egoist) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2007, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"... | {"split": "train", "index": 19785} |
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: Penelope, Amelia, Lucas, Sebastian, and Scarlett. Penelope remarked, \"it is not the case that (if (Amelia is a sage and Lucas is a sage and Amelia is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2008, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\"... | {"split": "train", "index": 19786} |
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: Ava, Henry, William, Mia, and Amelia. In a statement by Ava: \"it is not the case that ((Henry is an altruist) or (Mia is an altruist or Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2009, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"or\", [\"<=>\", [\"<=>\", [\... | {"split": "train", "index": 19787} |
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, Elizabeth, Luke, Noah, and Emily. Michael said, \"Noah is a fool.\" As Elizabeth put it, \"if (Elizabeth is a sage and (Emily is a sage) and (if E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2010, \"statements\": [[\"lying\", 3], [\"->\", [\"and\", [\"telling-truth\", 1], [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]],... | {"split": "train", "index": 19788} |
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, Amelia, Luke, Isabella, and Ava. Aria asserted: \"it is not the case that ((Ava is a saint or Amelia is a saint) or (Ava is a sinner and Ava is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2011, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]], ... | {"split": "train", "index": 19789} |
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, Aurora, Emma, Michael, and Ethan. Charlotte said, \"it is not the case that (it is not the case that (Charlotte is a knight and Michael is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2012, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 2]]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4], [\"or\", [\"lyi... | {"split": "train", "index": 19790} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Avery, Emily, William, Lily, and Joseph. Avery said, \"it is not the case that ((if Emily is a sage then William is a fool) if and only if Joseph is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2013, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"telling-truth\", 4]]], [\"lying\", 2], [\"and\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-t... | {"split": "train", "index": 19791} |
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: David, Aiden, Sebastian, Mason, and Olivia. David noted, \"((if Aiden is a villain then Olivia is a villain) and (Olivia is a hero) and (David is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2014, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 2], [\... | {"split": "train", "index": 19792} |
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: Luke, Grace, Daniel, Logan, and Benjamin. As Luke put it, \"it is not the case that ((Grace is a fool if and only if Logan is a fool) and (Logan is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2015, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]]], [\"<=>\",... | {"split": "train", "index": 19793} |
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, Liam, Ethan, Samuel, and Harper. Owen said, \"it is not the case that ((Harper is a sinner or Liam is a saint or Samuel is a sinner) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2016, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2]]]], [\"<=>\", [\"and\", [\"->... | {"split": "train", "index": 19794} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Chloe, Lily, Daniel, Scarlett, and Oliver. \"Lily is a fool,\" Chloe claimed. According to Lily, \"it is not the case that (it is not the case that (if Sca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2017, \"statements\": [[\"lying\", 1], [\"not\", [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\... | {"split": "train", "index": 19795} |
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, Lucas, Harper, Lily, and Benjamin. Isabella noted, \"((if Harper is a hero then Benjamin is a hero) or Harper is a villain or (Lily is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2018, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lying\", 2], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\"... | {"split": "train", "index": 19796} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Elizabeth, Samuel, Grace, Mia, and Jackson. Elizabeth noted, \"it is not the case that (if Grace is an angel then Mia is an angel)\". Samuel noted, \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2019, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"t... | {"split": "train", "index": 19797} |
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: Henry, Aiden, Grace, William, and Owen. Henry expressed that William is a knight if and only if (it is not the case that (William is a knight and Hen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2020, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 1],... | {"split": "train", "index": 19798} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aiden, Luke, Elizabeth, Ethan, and James. In Aiden's words: \"(if (if Ethan is a saint then Ethan is a sinner) then (James is a saint if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2021, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-... | {"split": "train", "index": 19799} |
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