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: Oliver, Harper, Elizabeth, Ava, and Sofia. Oliver noted, \"if (Harper is an egoist and Sofia is an altruist and Oliver is an altruist) then (Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1910, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\... | {"split": "train", "index": 10800} |
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: William, Isabella, Avery, Sophia, and Liam. William remarked, \"if Avery is a fool then (Sophia is a sage and Avery is a fool and Liam is a fool)\". Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1911, \"statements\": [[\"->\", [\"lying\", 2], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lyi... | {"split": "train", "index": 10801} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aiden, Zoey, Jack, Riley, and Grace. \"Zoey is a devil if and only if (Zoey is a devil or Zoey is an angel),\" Aiden claimed. Zoey said, \"it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1912, \"statements\": [[\"<=>\", [\"lying\", 1], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\"... | {"split": "train", "index": 10802} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: William, Amelia, Daniel, Matthew, and Abigail. \"Abigail is an egoist,\" William declared. \"it is not the case that (if Abigail is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1913, \"statements\": [[\"lying\", 4], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]]... | {"split": "train", "index": 10803} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mia, Samuel, Riley, Luke, and Joseph. Mia said, \"Luke is an egoist if and only if Riley is an altruist.\" Samuel remarked, \"(Mia is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1914, \"statements\": [[\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 4]]... | {"split": "train", "index": 10804} |
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, Owen, James, Penelope, and Aurora. \"Owen is a villain,\" Noah mentioned. In a statement by Owen: \"if (James is a hero if and only if Noah is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1915, \"statements\": [[\"lying\", 1], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth... | {"split": "train", "index": 10805} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Alexander, Evelyn, Zoey, Logan, and Chloe. Alexander told you that Logan is a devil if and only if Logan is an angel. Evelyn asserted: \"Chloe is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1916, \"statements\": [[\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>... | {"split": "train", "index": 10806} |
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: Michael, Jackson, Ethan, Samuel, and Jacob. Michael remarked, \"Jacob is a knight and (if Ethan is a knight then Jackson is a knight) and (if Michael... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1917, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"tel... | {"split": "train", "index": 10807} |
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, Avery, Elizabeth, Sofia, and Benjamin. Harper said that (Avery is a laggard and Benjamin is a pioneer) or (Harper is a pioneer if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1918, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"lying\", 4], [\"and\", [\"telling-tr... | {"split": "train", "index": 10808} |
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, Luke, Charlotte, and Amelia. \"(Charlotte is an altruist and Amelia is an egoist and William is an altruist) if and only if Wi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1919, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"telling-truth\", 4], ... | {"split": "train", "index": 10809} |
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, Samuel, Henry, Ella, and Jacob. Penelope commented, \"Henry is a knight\". Samuel was heard saying, \"if (if Samuel is a knight then Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1920, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\... | {"split": "train", "index": 10810} |
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, Aria, Aurora, David, and Mia. \"(Aria is a villain) or (Aurora is a hero and Jack is a hero),\" Jack declared. \"if (David is a villain if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1921, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-tr... | {"split": "train", "index": 10811} |
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, Luke, Avery, Mia, and Emily. Lucas commented, \"Luke is a knave\". \"Avery is a knight,\" Luke claimed. Avery was heard saying, \"(Luke is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1922, \"statements\": [[\"lying\", 1], [\"not\", [\"lying\", 2]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"lying\", 0... | {"split": "train", "index": 10812} |
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, Isabella, Ella, Liam, and Olivia. Aiden commented, \"it is not the case that (if Ella is a knight then Liam is a knave)\". As Isabella put it,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1923, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 1], [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 1... | {"split": "train", "index": 10813} |
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: Owen, Luke, Lucas, Ava, and Isabella. \"Ava is a knight,\" Owen claimed. In a statement by Luke: \"Isabella is a knave or Ava is a knave or (Owen is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1924, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 10814} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Evelyn, Aurora, Olivia, Michael, and Liam. Evelyn said that Liam is a hero. Aurora remarked, \"Liam is a villain\". In a statement by Olivia: \"(if E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1925, \"statements\": [[\"telling-truth\", 4], [\"lying\", 4], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 3], [\"or\", [\"lying\", 0], [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"... | {"split": "train", "index": 10815} |
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: Emma, Aurora, Oliver, Noah, and Ella. Emma asserted: \"Oliver is an angel\". In Aurora's words: \"it is not the case that (Oliver is an angel or Oliver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1926, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"telling... | {"split": "train", "index": 10816} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aiden, Logan, Emily, Elizabeth, and Penelope. Aiden stated, \"if (Penelope is a laggard or Emily is a laggard) then (Aiden is a pioneer and Eli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1927, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telli... | {"split": "train", "index": 10817} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Owen, Liam, Abigail, Matthew, and Noah. \"Matthew is an altruist,\" Owen claimed. \"Abigail is an altruist or (Owen is an altruist if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1928, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", ... | {"split": "train", "index": 10818} |
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, Logan, David, Jack, and William. Daniel commented, \"it is not the case that (Logan is a saint or Logan is a sinner)\". Logan noted, \"Daniel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1929, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"lying\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"telling-truth\", 1]], [\"->\", [\"<=>\", [\"telling-... | {"split": "train", "index": 10819} |
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, Emily, Victoria, Aria, and Samuel. \"(Samuel is a saint and Aria is a sinner) if and only if (Victoria is a saint and Aria is a sinner),\" Emma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1930, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"t... | {"split": "train", "index": 10820} |
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, Samuel, Ella, Alexander, and Jackson. \"(Alexander is a knight or Samuel is a knave) and (Jackson is a knight),\" Harper claimed. In Samuel's... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1931, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"<... | {"split": "train", "index": 10821} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sofia, Noah, Jack, Isabella, and Victoria. Sofia stated, \"it is not the case that (Victoria is a laggard)\". Noah noted, \"Jack is a pioneer\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1932, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"<=>\", [\"lying\", 2], [\"t... | {"split": "train", "index": 10822} |
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, Owen, Henry, Zoey, and Sophia. As David put it, \"(Owen is a pioneer and Zoey is a laggard and Henry is a laggard) and (if Henry is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1933, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"lying\", 0], [\"telling-truth\", 4], [\"not\", [\"not\", [\"telling-trut... | {"split": "train", "index": 10823} |
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, Abigail, Ava, Joseph, and William. As Amelia put it, \"(William is a sinner) or (Abigail is a saint or Amelia is a saint or Joseph is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1934, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 3]], [\"lying\", 3]], [\"telling-truth\", 1], [\"tel... | {"split": "train", "index": 10824} |
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, Alexander, Riley, Sofia, and Henry. Zoey expressed that (Alexander is a hero or Riley is a villain or Henry is a villain) and (Alexander is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1935, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"lying\", 4], [\"lying\", 1], [\"->\", [\"->\", [\"lying\", 1], [\"lying\"... | {"split": "train", "index": 10825} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Lucas, Harper, Alexander, and Mia. Abigail was heard saying, \"if (Lucas is a saint or Alexander is a saint or Lucas is a sinner) then (Harp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1936, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 10826} |
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, Ava, Lily, Logan, and Aria. As Isabella put it, \"Aria is a sinner\". Ava commented, \"(Lily is a sinner if and only if Logan is a sinner) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1937, \"statements\": [[\"lying\", 4], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"telling-truth\", 0]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], ... | {"split": "train", "index": 10827} |
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, David, Emma, James, and Samuel. \"(David is a hero if and only if Samuel is a villain) and (Emma is a villain if and only if Samuel is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1938, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"te... | {"split": "train", "index": 10828} |
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, Avery, Lucas, Mason, and Henry. \"it is not the case that (Avery is a villain if and only if Avery is a hero),\" Aria declared. Avery said, \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1939, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"... | {"split": "train", "index": 10829} |
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, Daniel, Olivia, Aiden, and Samuel. Jacob remarked, \"(Aiden is a saint and Samuel is a sinner) if and only if (Aiden is a sinner and Olivia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1940, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 0]]... | {"split": "train", "index": 10830} |
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, Isabella, Matthew, Aria, and Aiden. \"it is not the case that (Matthew is an egoist if and only if Aria is an egoist),\" Avery mentioned... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1941, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 3], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\",... | {"split": "train", "index": 10831} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Harper, Jacob, Mia, Avery, and Lucas. \"(Avery is a fool and Harper is a sage) if and only if (if Mia is a fool then Lucas is a sage),\" Harper claimed. Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1942, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0],... | {"split": "train", "index": 10832} |
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: Mia, Lily, Charlotte, Liam, and Grace. Mia stated, \"if (Liam is a hero and Grace is a hero and Liam is a villain) then (Lily is a hero and Liam is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1943, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 3], [\"tellin... | {"split": "train", "index": 10833} |
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, Abigail, Mason, Chloe, and Avery. In a statement by Lucas: \"(Mason is a villain or Chloe is a villain) and (Avery is a hero and Mason is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1944, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 4]]], [\"lying\", 2], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying... | {"split": "train", "index": 10834} |
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, Charlotte, James, Riley, and Alexander. Penelope said, \"it is not the case that (Riley is a sage).\" \"it is not the case that (Alexander is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1945, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 4], [\"not\", [\... | {"split": "train", "index": 10835} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Noah, Evelyn, Logan, Daniel, and Zoey. Noah commented, \"it is not the case that (Evelyn is a devil if and only if Evelyn is an angel)\". In a statemen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1946, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"telling-truth\", 2], [\"telling-truth\", 3], [\"->\", [\"lying\", 1], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-tru... | {"split": "train", "index": 10836} |
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: William, Samuel, Aria, Victoria, and Joseph. As William put it, \"(if Joseph is a villain then Victoria is a villain) or (if Samuel is a villain then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1947, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0], [\"t... | {"split": "train", "index": 10837} |
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, Daniel, Aiden, Logan, and William. Jack asserted: \"Jack is an altruist\". Daniel remarked, \"William is an egoist\". In Aiden's words: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1948, \"statements\": [[\"telling-truth\", 0], [\"lying\", 4], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 1], [... | {"split": "train", "index": 10838} |
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: Noah, Sebastian, James, Alexander, and Scarlett. As Noah put it, \"(James is a pioneer or Sebastian is a pioneer) or (if Scarlett is a laggard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1949, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telli... | {"split": "train", "index": 10839} |
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, Luke, Olivia, Jackson, and Charlotte. \"Olivia is a sinner,\" Sofia claimed. \"Luke is a saint or (Sofia is a sinner)\" - Luke. Olivia comment... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1950, \"statements\": [[\"lying\", 2], [\"or\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 1]]], [\"lying\", 1], [\"and\", [\"and\", [\"ly... | {"split": "train", "index": 10840} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aiden, Amelia, Benjamin, Penelope, and Grace. Aiden commented, \"(Benjamin is an angel) or Grace is a devil\". Amelia asserted: \"it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1951, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 4]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"-... | {"split": "train", "index": 10841} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Noah, Harper, Alexander, William, and Mia. In Noah's words: \"(Mia is a fool or Harper is a sage) and (Alexander is a sage if and only if William is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1952, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"lying\", 2], [\"telling-truth\", 0], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 4]]... | {"split": "train", "index": 10842} |
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: Scarlett, Grace, Henry, William, and Victoria. \"it is not the case that (if Scarlett is a hero then William is a hero),\" Scarlett mentioned. Grace ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1953, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"tell... | {"split": "train", "index": 10843} |
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, Lucas, Matthew, Aria, and Michael. In Benjamin's words: \"if (Michael is a knave or Aria is a knight) then (if Benjamin is a knight then Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1954, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\"... | {"split": "train", "index": 10844} |
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: Daniel, Ella, Ethan, David, and Abigail. According to Daniel, \"(if Ethan is an altruist then Abigail is an altruist) if and only if (David is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1955, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 10845} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lucas, Sophia, Victoria, Amelia, and Henry. Lucas told you that Victoria is an angel or (if Sophia is a devil then Henry is a devil). Sophia asserted: ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1956, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"telling-truth\", 4], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", [\"lying\", 3]], [\"->\", [\"lying... | {"split": "train", "index": 10846} |
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, Harper, Benjamin, Victoria, and Grace. Logan asserted: \"(Victoria is an altruist if and only if Benjamin is an egoist) or (Harper is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1957, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 1... | {"split": "train", "index": 10847} |
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: Penelope, Jackson, Jack, David, and Jacob. Penelope commented, \"(Jack is a laggard or Jackson is a laggard) or (Jack is a pioneer or David is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1958, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 3]]], [\"... | {"split": "train", "index": 10848} |
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, Grace, Samuel, Sophia, and Aurora. Elizabeth noted, \"Grace is a sinner\". Grace asserted: \"Samuel is a saint and (Aurora is a saint if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1959, \"statements\": [[\"lying\", 1], [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"lying\", 0], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\... | {"split": "train", "index": 10849} |
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: Mason, Scarlett, Aiden, Oliver, and Victoria. As Mason put it, \"Aiden is a hero if and only if (Oliver is a villain)\". Scarlett expressed that (Aid... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1960, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\... | {"split": "train", "index": 10850} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Alexander, Aurora, Riley, Jackson, and Sophia. Alexander expressed that it is not the case that (Riley is a sage). According to Aurora, \"(Jackson is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1961, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\"... | {"split": "train", "index": 10851} |
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, Aiden, Isabella, Chloe, and Henry. Harper told you that (Chloe is a saint and Aiden is a saint and Aiden is a sinner) or Chloe is a saint. Ai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1962, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\",... | {"split": "train", "index": 10852} |
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, Noah, Logan, Grace, and Evelyn. Ethan stated, \"(Logan is an altruist or Evelyn is an altruist) or (if Grace is an egoist then Logan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1963, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"->\", ... | {"split": "train", "index": 10853} |
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, Michael, Ella, Noah, and Sofia. \"Ella is an altruist,\" Luke declared. Michael asserted: \"Ella is an altruist\". Ella expressed that No... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1964, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 2], [\"not\", [\"lying\", 3]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\... | {"split": "train", "index": 10854} |
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, Lily, Grace, Ella, and Avery. Harper remarked, \"(Avery is a knight and Lily is a knave and Lily is a knight) and (Grace is a knave or Avery ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1965, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"and... | {"split": "train", "index": 10855} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sophia, Sofia, Abigail, Jackson, and Olivia. Sophia said that (Olivia is a fool if and only if Jackson is a sage) or (Jackson is a fool). Sofia commented, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1966, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"ly... | {"split": "train", "index": 10856} |
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, Logan, Ethan, Alexander, and Joseph. Harper noted, \"if (if Logan is a knave then Joseph is a knight) then (Ethan is a knight)\". Logan state... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1967, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-t... | {"split": "train", "index": 10857} |
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: Jackson, Isabella, Samuel, Benjamin, and Oliver. Jackson expressed that (if Isabella is an altruist then Samuel is an altruist) or Isabella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1968, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"telli... | {"split": "train", "index": 10858} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Joseph, Jacob, Charlotte, Chloe, and Elizabeth. \"if (Elizabeth is a saint) then (Chloe is a saint and Elizabeth is a saint),\" Joseph claimed. Jacob... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1969, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\... | {"split": "train", "index": 10859} |
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: Abigail, Daniel, Lily, Jack, and Olivia. According to Abigail, \"Olivia is an altruist and (Olivia is an altruist and Abigail is an altruist) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1970, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 1]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 3]], [\"not\"... | {"split": "train", "index": 10860} |
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, Jacob, Jackson, Aiden, and Abigail. Joseph asserted: \"Abigail is a hero\". Jacob stated, \"(Aiden is a hero if and only if Jackson is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1971, \"statements\": [[\"not\", [\"lying\", 4]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 10861} |
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, Benjamin, Jack, and Grace. Emily expressed that (Grace is a hero) if and only if (Avery is a hero or Benjamin is a hero or Jack is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1972, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 3]]], [\"lying\", 3], [\"telling-truth\", 1], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\... | {"split": "train", "index": 10862} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ella, Mia, Henry, David, and Ethan. \"(Mia is an altruist) or (Henry is an altruist),\" Ella declared. Mia commented, \"David is an egoist\". H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1973, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"lying\", 3], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [... | {"split": "train", "index": 10863} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Oliver, Sophia, Liam, and Logan. Ella said that (Liam is a knave if and only if Sophia is a knight) and (Logan is a knave if and only if Oliver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1974, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"lying\", 1]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"... | {"split": "train", "index": 10864} |
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, William, Ethan, Sophia, and Noah. \"Ethan is an angel\" - Abigail. William stated, \"Sophia is an angel if and only if (if Sophia is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1975, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 3]], [\... | {"split": "train", "index": 10865} |
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, Abigail, Luke, Daniel, and Olivia. Lily said that it is not the case that (Abigail is a sage). Abigail told you that (Lily is a sage and Olivia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1976, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"tellin... | {"split": "train", "index": 10866} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Zoey, Liam, David, Sebastian, and Lily. Zoey said, \"Lily is an angel.\" Liam said, \"if (if Zoey is a devil then Lily is an angel) then Liam is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1977, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"telling... | {"split": "train", "index": 10867} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Lucas, Joseph, Liam, and Amelia. Olivia told you that Joseph is a knight or (Joseph is a knave) or (Lucas is a knight). In Lucas's words: \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1978, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling... | {"split": "train", "index": 10868} |
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, Grace, Jack, Jackson, and Zoey. David said that (Zoey is an altruist) if and only if (David is an altruist and Grace is an egoist and Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1979, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 4], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"no... | {"split": "train", "index": 10869} |
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: Aurora, Isabella, Alexander, Emily, and Liam. Aurora told you that it is not the case that (Isabella is a pioneer or Aurora is a pioneer or Lia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1980, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]],... | {"split": "train", "index": 10870} |
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, Daniel, Emma, Mia, and Aiden. Penelope said, \"(Aiden is a fool and Penelope is a sage) if and only if (Mia is a fool or Aiden is a sage).\" In D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1981, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 0]], [\"telling-truth\", 4], [\"and\", [\"->\", [\"lying\", 0], [\"te... | {"split": "train", "index": 10871} |
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, Oliver, Penelope, Charlotte, and Aurora. \"(Aurora is a laggard and Daniel is a pioneer) or (Oliver is a pioneer if and only if Aurora ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1982, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"lying\", 4], [\"<=>\", [\"not\", [\"telling-tr... | {"split": "train", "index": 10872} |
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, Samuel, Lily, Jacob, and Jack. \"(if Elizabeth is a knight then Samuel is a knight) and (Elizabeth is a knight and Jacob is a knave and Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1983, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0],... | {"split": "train", "index": 10873} |
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, Owen, Sophia, Michael, and Sofia. Luke said, \"(Sophia is a sage if and only if Michael is a sage) and (Luke is a sage or Sofia is a sage).\" Owen re... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1984, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 0]], [\"and\... | {"split": "train", "index": 10874} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aurora, Emily, Samuel, Penelope, and Mia. Aurora stated, \"(Mia is a sage if and only if Emily is a sage) and (Samuel is a fool)\". In Emily's words: \"(Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1985, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 4]... | {"split": "train", "index": 10875} |
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: Aurora, Evelyn, David, Zoey, and Ella. Aurora said that Evelyn is a pioneer. According to Evelyn, \"Zoey is a laggard\". David stated, \"(Auror... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1986, \"statements\": [[\"telling-truth\", 1], [\"lying\", 3], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 0]]], [\"<=>\", [... | {"split": "train", "index": 10876} |
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: Evelyn, Aiden, Liam, Abigail, and Ethan. Evelyn commented, \"(Ethan is a knave if and only if Abigail is a knave) if and only if Evelyn is a knight\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1987, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 0]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 4]], [\"telling-truth\", 4]], [\"<=>\", [\"... | {"split": "train", "index": 10877} |
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, Chloe, Joseph, Emma, and Charlotte. In a statement by Zoey: \"(Joseph is an altruist and Charlotte is an altruist and Joseph is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1988, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"and\... | {"split": "train", "index": 10878} |
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: Sebastian, Victoria, Elizabeth, Evelyn, and Penelope. As Sebastian put it, \"it is not the case that (if Elizabeth is a sage then Sebastian is a sage)\". V... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1989, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"no... | {"split": "train", "index": 10879} |
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: Olivia, Charlotte, Lily, Penelope, and Harper. \"(Charlotte is a sinner and Lily is a saint) and (Harper is a saint and Harper is a sinner and Charlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1990, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying... | {"split": "train", "index": 10880} |
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, Emma, Isabella, Emily, and Logan. Henry noted, \"(if Emma is a knight then Logan is a knave) if and only if (Henry is a knight or Emma is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1991, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"telling-truth\", 4]... | {"split": "train", "index": 10881} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aiden, Emily, Michael, Olivia, and Benjamin. In Aiden's words: \"(Aiden is an angel if and only if Olivia is a devil) if and only if (Aiden is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1992, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 10882} |
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: William, Aria, Sophia, Zoey, and David. William commented, \"(David is a sage or David is a fool or Zoey is a fool) and (Zoey is a fool) and (William is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1993, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"lying\", 4], [\"and\... | {"split": "train", "index": 10883} |
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: Noah, Luke, Penelope, Aiden, and Joseph. Noah said, \"if (Noah is a knight and Joseph is a knight and Luke is a knave) then (if Luke is a knave then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1994, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 4]], [\"not\... | {"split": "train", "index": 10884} |
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: Samuel, Jackson, Evelyn, Jack, and Riley. \"if (Riley is a laggard if and only if Jack is a pioneer) then (Jackson is a laggard or Samuel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1995, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth... | {"split": "train", "index": 10885} |
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, Mason, Emily, Alexander, and Penelope. Lily remarked, \"(if Penelope is a devil then Alexander is an angel) or (Mason is an angel)\". \"if (Alexa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1996, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]... | {"split": "train", "index": 10886} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, James, Zoey, Benjamin, and Abigail. In Ethan's words: \"Abigail is a knave\". \"(if Zoey is a knight then Abigail is a knave) or (Benjamin is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1997, \"statements\": [[\"lying\", 4], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth... | {"split": "train", "index": 10887} |
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, Owen, Lily, Harper, and Jack. \"(if Jack is an egoist then Harper is an altruist) or (if Harper is an altruist then Owen is an egoist) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1998, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 1]],... | {"split": "train", "index": 10888} |
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, Samuel, Charlotte, Evelyn, and Aria. Abigail asserted: \"(Abigail is a devil) and Samuel is a devil and (Evelyn is an angel and Samuel is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1999, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 1], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 4]],... | {"split": "train", "index": 10889} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jackson, Lily, Matthew, Jack, and Chloe. Jackson noted, \"Chloe is a laggard\". Lily was heard saying, \"(Jack is a pioneer if and only if Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2000, \"statements\": [[\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 0]]], [\"lying\", 3], [\"not\", [\"and\", [\"telling-trut... | {"split": "train", "index": 10890} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Matthew, Victoria, Aiden, Chloe, and Lily. Matthew stated, \"(Victoria is a sage if and only if Aiden is a fool) or (Chloe is a fool)\". Victoria remarked,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2001, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"... | {"split": "train", "index": 10891} |
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: Jackson, Emily, Lucas, Sophia, and Ella. Jackson remarked, \"if (Emily is an egoist or Lucas is an egoist or Lucas is an altruist) then (Ella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2002, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 2], [... | {"split": "train", "index": 10892} |
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, Riley, Lucas, Samuel, and Charlotte. Isabella said that (Lucas is a knight if and only if Samuel is a knight) and (Isabella is a knight if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2003, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"<=>\", [\"lying\", 1], [\"<=>\", [\"lying\", 0]... | {"split": "train", "index": 10893} |
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, Benjamin, Emma, Lucas, and Liam. Elizabeth said, \"(Lucas is an angel or Liam is a devil or Emma is an angel) and (Lucas is an angel).\" Ben... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2004, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]],... | {"split": "train", "index": 10894} |
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, Henry, Michael, Aiden, and Joseph. According to Charlotte, \"(Michael is a fool and Aiden is a sage and Henry is a sage) and (Michael is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2005, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"l... | {"split": "train", "index": 10895} |
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: Aria, Lily, Logan, Michael, and Chloe. Aria said, \"(if Chloe is an altruist then Chloe is an egoist) or (Lily is an egoist if and only if Loga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2006, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"lying\", 3], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"or\", [\"telling-truth... | {"split": "train", "index": 10896} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Benjamin, Jackson, Lily, Joseph, and Harper. \"(Joseph is a hero or Jackson is a hero) or (Harper is a villain if and only if Joseph is a hero),\" Be... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2007, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 4]], [\"and\... | {"split": "train", "index": 10897} |
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, Penelope, Scarlett, Charlotte, and Chloe. According to Ava, \"Scarlett is a pioneer\". Penelope was heard saying, \"(if Chloe is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2008, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [... | {"split": "train", "index": 10898} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jackson, Daniel, Samuel, Matthew, and Jack. Jackson stated, \"(Matthew is a devil) or Matthew is an angel or (Daniel is a devil and Matthew is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2009, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"te... | {"split": "train", "index": 10899} |
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