data_source stringclasses 1
value | prompt stringlengths 948 4.18k | ability stringclasses 1
value | reward_model stringlengths 1.89k 8.09k | 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 9 inhabitants: Samuel, Evelyn, Lily, Jackson, Daniel, James, Aurora, Benjamin, and Elizabeth. Samuel asserted: \"Daniel is an altruist\". \"Daniel is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1866, \"statements\": [[\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 6]], [\"and\", [\"telling-truth\", 5], [\"lying\", 0]]], [... | {"split": "train", "index": 15200} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sophia, Chloe, Zoey, Lily, Emma, Henry, Luke, Samuel, and Ava. \"((Lily is a sinner or Luke is a saint) if and only if (if Henry is a saint then Lily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1867, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"<=>\", [\"telling-... | {"split": "train", "index": 15201} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Luke, Chloe, Aurora, Liam, Michael, Logan, Lily, Henry, and Sebastian. \"(if (if Luke is a hero then Sebastian is a hero) then Michael is a villain) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1868, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8... | {"split": "train", "index": 15202} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Joseph, Benjamin, Emily, Aiden, Mia, Zoey, Isabella, Victoria, and Jacob. Joseph commented, \"(it is not the case that (Jacob is an altruist if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1869, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 8]]]], [\"telling... | {"split": "train", "index": 15203} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Evelyn, William, Jacob, Ava, Scarlett, Logan, Riley, Mason, and Charlotte. \"Logan is a villain\" - Evelyn. William remarked, \"((if Evelyn is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1870, \"statements\": [[\"lying\", 5], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 7], [\"lying\", 3]]], [\"lying\", 0]], [\"not\", [\"<=>\", [\"and\", [\"lying\", 5], [\"... | {"split": "train", "index": 15204} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Samuel, James, Benjamin, Emily, Michael, Ethan, Jacob, Victoria, and Abigail. In Samuel's words: \"((Emily is an angel and Victoria is an angel) and (B... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1871, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"and\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"telling-truth\", 2]], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 15205} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Mia, Ethan, Aurora, Owen, Amelia, Lucas, Alexander, Emily, and Zoey. Mia said that Amelia is a saint if and only if (it is not the case that (Mia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1872, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"telling-truth\", 5], [\"or\", [\"->\... | {"split": "train", "index": 15206} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Olivia, Charlotte, Zoey, Sofia, Grace, Sophia, Mason, Ava, and Ethan. \"((Sophia is a hero) if and only if (if Ava is a villain then Grace is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1873, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 7], [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 7]]], [\"not\", [\"->\", [... | {"split": "train", "index": 15207} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sebastian, Sophia, Penelope, William, Sofia, Jackson, Charlotte, Benjamin, and Luke. As Sebastian put it, \"William is a pioneer\". \"it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1874, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 8]], [\"lying\", 0]]], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]], [\"and\", [\"telling-... | {"split": "train", "index": 15208} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: David, Sebastian, Abigail, Charlotte, James, Chloe, Aria, Oliver, and Victoria. David said, \"Oliver is an egoist and ((Victoria is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1875, \"statements\": [[\"and\", [\"lying\", 7], [\"or\", [\"not\", [\"lying\", 8]], [\"not\", [\"telling-truth\", 2]]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"lying\", 6], [\"->\", [\"tellin... | {"split": "train", "index": 15209} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Oliver, Scarlett, Logan, Owen, Isabella, Penelope, Benjamin, Aria, and Henry. Oliver remarked, \"it is not the case that (if (Owen is a villain and I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1876, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 7]]]], [\"and\", [\"telling-truth\", 5], [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telli... | {"split": "train", "index": 15210} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Elizabeth, Amelia, Emma, Noah, Ethan, Benjamin, Aria, Evelyn, and Zoey. Elizabeth stated, \"Ethan is a knave\". Amelia asserted: \"if (it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1877, \"statements\": [[\"lying\", 4], [\"->\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 7]], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"not\", [\"telling-... | {"split": "train", "index": 15211} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Grace, Olivia, Jack, Noah, Sophia, Samuel, Logan, James, and Riley. According to Grace, \"(if (Grace is a knight or Sophia is a knave) then (James is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1878, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"lying\", 7], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 6]]], [\"not\", [\"a... | {"split": "train", "index": 15212} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Benjamin, Liam, Scarlett, Sofia, Victoria, Emily, Oliver, James, and Chloe. In a statement by Benjamin: \"((if Chloe is a knave then Liam is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1879, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"telling-truth\", 5]], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 15213} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Noah, Evelyn, Joseph, Mia, Emma, Oliver, Abigail, Chloe, and Riley. Noah asserted: \"Noah is an altruist or Chloe is an altruist\". \"((Noah is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1880, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 8]], [\"and\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"and\", [\"telling-tr... | {"split": "train", "index": 15214} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Avery, Liam, Evelyn, Mia, Michael, Lily, Lucas, David, and Mason. Avery remarked, \"if Michael is an altruist then Mason is an altruist\". Liam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1881, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 0]], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]], [\"and\", [\... | {"split": "train", "index": 15215} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Emily, Avery, James, Liam, Mia, Penelope, Ella, Daniel, and Sebastian. Emily expressed that it is not the case that (Penelope is a devil or (Liam is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1882, \"statements\": [[\"not\", [\"or\", [\"lying\", 5], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"not\", [\"lying\", 2]]], [... | {"split": "train", "index": 15216} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Victoria, Alexander, Henry, Emma, Matthew, Lily, Benjamin, James, and Logan. Victoria said, \"Benjamin is a pioneer.\" Alexander noted, \"if ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1883, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 6]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", ... | {"split": "train", "index": 15217} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Abigail, David, Luke, Mason, Aurora, Elizabeth, Lily, Charlotte, and James. In Abigail's words: \"((if Luke is a knight then Aurora is a knight) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1884, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 5]]], [\"and\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 6], [\"lying\",... | {"split": "train", "index": 15218} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Chloe, Emma, Alexander, Luke, William, Logan, Samuel, Lucas, and Elizabeth. Chloe commented, \"Alexander is a knave or (Samuel is a knight and (Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1885, \"statements\": [[\"or\", [\"lying\", 2], [\"and\", [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]]]], [\"not\", [\"not\", [\"->\", [\"lying\", 7], [\"lying\", 5]]]], [\"or\", [\"telling-truth\"... | {"split": "train", "index": 15219} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jackson, Mia, Matthew, Olivia, Charlotte, Daniel, Joseph, William, and Ella. Jackson said that (it is not the case that (Charlotte is a hero and Char... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1886, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 5], [\"lying\", 3]]]], [\"<=>\", [\"lying\", 3], [\"not\", [\"->\", [\"l... | {"split": "train", "index": 15220} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lily, Jacob, David, James, Avery, Riley, Amelia, Scarlett, and Sebastian. As Lily put it, \"it is not the case that ((Riley is a laggard if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1887, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"telling... | {"split": "train", "index": 15221} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Isabella, William, Luke, Aria, Charlotte, Benjamin, Emma, Lucas, and Ava. Isabella was heard saying, \"Aria is a fool if and only if Emma is a fool\". Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1888, \"statements\": [[\"<=>\", [\"lying\", 3], [\"lying\", 6]], [\"->\", [\"or\", [\"lying\", 8], [\"and\", [\"lying\", 4], [\"lying\", 5]]], [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3... | {"split": "train", "index": 15222} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Owen, Elizabeth, Alexander, Ethan, Daniel, Michael, Aiden, Olivia, and Amelia. According to Owen, \"((Daniel is a pioneer and Amelia is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1889, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 8]], [\"and\", [\"lying\", 2], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"or\", [\"telling-truth\", 3], [\"lying\", 5]]]], ... | {"split": "train", "index": 15223} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Riley, Charlotte, Sophia, Victoria, Ella, Scarlett, Oliver, James, and Liam. According to Riley, \"Oliver is an egoist\". Charlotte said that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1890, \"statements\": [[\"lying\", 6], [\"or\", [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"telling-truth\", 8]], [\"or\", [\"and\", [\"not\", [\"lying\", 0]... | {"split": "train", "index": 15224} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Henry, Sebastian, Mia, Logan, Elizabeth, Isabella, Avery, Ella, and Ava. \"Isabella is a fool if and only if ((if Mia is a sage then Avery is a sage) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1891, \"statements\": [[\"<=>\", [\"lying\", 5], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"lying\", 6]]], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 0]]], [\"->\", ... | {"split": "train", "index": 15225} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Amelia, Daniel, Alexander, James, Ella, Chloe, Michael, Liam, and Evelyn. Amelia remarked, \"Daniel is a laggard\". In Daniel's words: \"it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1892, \"statements\": [[\"lying\", 1], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"lying\", 4], [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"->... | {"split": "train", "index": 15226} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Zoey, Isabella, Penelope, David, Abigail, Luke, Amelia, Henry, and Aiden. Zoey stated, \"(Penelope is a fool and (Isabella is a fool and Penelope is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1893, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 7]]], [\"and\", [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth... | {"split": "train", "index": 15227} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Owen, Evelyn, Samuel, Henry, Oliver, Lucas, Isabella, Olivia, and Emily. As Owen put it, \"it is not the case that ((Samuel is a fool or Lucas is a fool) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1894, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"lying\", 4], [\"lying\", 2]]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\"... | {"split": "train", "index": 15228} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Amelia, Elizabeth, Olivia, Ethan, Chloe, Grace, Sebastian, Samuel, and Luke. As Amelia put it, \"(if (Luke is a villain) then Olivia is a hero) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1895, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 8]], [\"telling-truth\", 2]], [\"->\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0]]]], [\"<=>\", [\"telling... | {"split": "train", "index": 15229} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Logan, Penelope, Joseph, Jackson, James, Jacob, Victoria, Mason, and Elizabeth. In a statement by Logan: \"Elizabeth is a hero\". Penelope noted, \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1896, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"lying\", 4], [\"not\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 7]]]], [\"->\", [\"and\",... | {"split": "train", "index": 15230} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Owen, Amelia, Ella, Luke, Abigail, Sophia, Samuel, Sebastian, and Aurora. Owen stated, \"if (Amelia is a sinner or (Aurora is a saint)) then ((Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1897, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"not\", [\"lying\", 8]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8]]]], [\"<=>\", [\"<=>\",... | {"split": "train", "index": 15231} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ava, Ethan, Avery, Charlotte, Henry, Mason, Grace, Penelope, and Michael. Ava was heard saying, \"((if Penelope is a villain then Penelope is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1898, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 5]]]], [\"->\", [\"or\", [\"<=>\",... | {"split": "train", "index": 15232} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Zoey, Ava, Elizabeth, Jack, Olivia, Lily, Ella, Aiden, and Liam. Zoey noted, \"Zoey is an angel\". Ava said, \"it is not the case that (Olivia is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1899, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"not\",... | {"split": "train", "index": 15233} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Henry, Sophia, Oliver, Evelyn, Michael, Alexander, Harper, Lucas, and Jack. As Henry put it, \"((Jack is a villain and Lucas is a villain) and (Harpe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1900, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 8], [\"lying\", 7]], [\"and\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 4]], [\"<=>\", [\"lying\", 6], [\... | {"split": "train", "index": 15234} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Zoey, Victoria, Aria, Daniel, Michael, Joseph, Lucas, Charlotte, and Owen. Zoey expressed that Michael is an altruist. Victoria was heard sayin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1901, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 8]]], [\"not\", [\"not\"... | {"split": "train", "index": 15235} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Amelia, Abigail, Oliver, Grace, Emma, Liam, Owen, Jacob, and Daniel. Amelia told you that if (if (Emma is a fool) then (Owen is a fool)) then Oliver is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1902, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 6]]], [\"lying\", 2]], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"not\", [\"telling-... | {"split": "train", "index": 15236} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Oliver, Jackson, Isabella, Sophia, Aiden, Elizabeth, Henry, Zoey, and James. Oliver asserted: \"((Henry is a fool or Oliver is a sage) and (Zoey is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1903, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"t... | {"split": "train", "index": 15237} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Penelope, Riley, Jacob, Aria, Sofia, Sebastian, James, Elizabeth, and Joseph. Penelope was heard saying, \"(Joseph is an angel) and ((if James is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1904, \"statements\": [[\"and\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"or\", [\"not\", [\"and\", [\"lying\", 0], [... | {"split": "train", "index": 15238} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: David, Ava, Chloe, Elizabeth, Aria, Michael, Liam, Lucas, and Alexander. \"(it is not the case that (Ava is an angel)) and David is an angel,\" David m... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1905, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 1]]], [\"telling-truth\", 0]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 8], [\"lying\", 8]], [\"not\", [\"lying\", 2]]], [\"lying\", 3]], [\"not\", [\"or\... | {"split": "train", "index": 15239} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Amelia, Mia, Elizabeth, Jacob, Victoria, Sofia, Avery, Liam, and Jackson. Amelia expressed that it is not the case that ((if Sofia is a hero then Mia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1906, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"lying\", 8]]], [\"telling-truth\", 8], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"ly... | {"split": "train", "index": 15240} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Mason, Logan, Mia, Joseph, Aiden, Grace, Emma, Zoey, and Emily. Mason was heard saying, \"((Emily is an angel and Aiden is an angel) and Emma is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1907, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"telling-truth\", 6]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1... | {"split": "train", "index": 15241} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Henry, Sophia, Penelope, Lucas, Harper, Luke, Alexander, Matthew, and Olivia. Henry said, \"Olivia is a sage.\" According to Sophia, \"((Luke is a sage) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1908, \"statements\": [[\"telling-truth\", 8], [\"or\", [\"<=>\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 8], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"not\", [\"lying\",... | {"split": "train", "index": 15242} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: James, Charlotte, Abigail, Lucas, Oliver, Mia, Olivia, Noah, and William. James said that ((Charlotte is a devil and Abigail is a devil) and (Oliver is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1909, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", ... | {"split": "train", "index": 15243} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Alexander, Liam, David, Matthew, Noah, Aria, Victoria, Amelia, and Aiden. \"Aiden is an angel,\" Alexander declared. In Liam's words: \"Aria is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1910, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"telling-truth\", 5]], [\"or\", [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"lying\", 8]],... | {"split": "train", "index": 15244} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emma, Charlotte, Noah, Michael, Jacob, Olivia, Alexander, Scarlett, and Matthew. Emma was heard saying, \"Alexander is a saint\". In a statement by C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1911, \"statements\": [[\"not\", [\"lying\", 6]], [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 5], [\"and\", [\"lying\", 1], [\"and\", [\"lying\", 8], [\"lying\", 5]]]], [\"not\", [\"<=>\", [\"and\", [\"lying\", 2], [\... | {"split": "train", "index": 15245} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jacob, Penelope, Evelyn, James, Scarlett, Mia, Charlotte, Matthew, and Owen. Jacob asserted: \"Owen is an altruist if and only if ((if Mia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1912, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"not\", [\"telling-truth\", 2]]]], [\"<=>\", [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 8]], [\"and\", [\"lying... | {"split": "train", "index": 15246} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emma, Avery, Harper, Grace, Sofia, Joseph, David, Emily, and Olivia. Emma told you that ((Emily is a sage and David is a sage) if and only if (Avery is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1913, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"not\", [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"lying\", 0], [\"<=>\", ... | {"split": "train", "index": 15247} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Benjamin, Lucas, Amelia, Victoria, Jacob, Sebastian, Emma, Penelope, and Ava. \"(if (Lucas is a knave if and only if Ava is a knave) then (Benjamin i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1914, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]], [\"or\", [\"telling-truth\",... | {"split": "train", "index": 15248} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Zoey, Oliver, Lily, Sebastian, Penelope, Liam, Ella, Abigail, and Amelia. Zoey said that Lily is a knight. In Oliver's words: \"it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1915, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 6]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]]]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 0], [\"te... | {"split": "train", "index": 15249} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Riley, Evelyn, Jacob, Chloe, Luke, Henry, Alexander, Sophia, and Joseph. Riley commented, \"(it is not the case that (if Alexander is a knave then Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1916, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 6], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 8]]]], [\"<=>\", [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 6... | {"split": "train", "index": 15250} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Alexander, Owen, Noah, Sofia, Aurora, Aria, Avery, Riley, and Emma. Alexander asserted: \"((Emma is an egoist) if and only if (Aria is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1917, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"lying\", 5], [\"lying\", 8]]], [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]]]], [... | {"split": "train", "index": 15251} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Mason, Charlotte, Elizabeth, Aiden, Riley, Owen, Avery, Sophia, and Isabella. In a statement by Mason: \"if (it is not the case that (Elizabeth is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1918, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 8]], [\"and\", [\"lying\", 4], [\"lying\", 7]]]], [\"->\", [\"or\", [\"not\", [\"telling-truth\", 8]], [\"<=>\... | {"split": "train", "index": 15252} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Logan, Scarlett, Benjamin, Isabella, Harper, Luke, Henry, Zoey, and Avery. Logan commented, \"Avery is a villain\". \"Logan is a hero\" - Scarlett. B... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1919, \"statements\": [[\"lying\", 8], [\"telling-truth\", 0], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]]]], [\"not\", [\"telling-truth\", 1]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\"... | {"split": "train", "index": 15253} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ella, Abigail, Isabella, James, Jack, Noah, Grace, Zoey, and Matthew. Ella told you that Noah is an angel. Abigail remarked, \"Isabella is an angel and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1920, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"telling-truth\", 2], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 7], [\"lying\", 2]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling... | {"split": "train", "index": 15254} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Zoey, Liam, Elizabeth, Sofia, Abigail, Sophia, Samuel, Luke, and Ava. Zoey commented, \"((Zoey is an egoist) or (Sofia is an altruist)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1921, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 4]], [\"->\", [\"telling-truth\", 5], [\"lying\", 8]]]], [\"or\", [\"not\",... | {"split": "train", "index": 15255} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aria, Ella, Owen, Jacob, Daniel, Aurora, Aiden, Samuel, and Isabella. Aria said that Jacob is a knave. Ella said, \"(it is not the case that (Owen is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1922, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"telling-truth\", 6]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 7]], [\"<=>\", [\"lying\", 6], [\"l... | {"split": "train", "index": 15256} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Sophia, Emma, Ava, Evelyn, Michael, Logan, Sebastian, Joseph, and Mia. Sophia said that Sebastian is an egoist. Emma was heard saying, \"it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1923, \"statements\": [[\"not\", [\"telling-truth\", 6]], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"or\", [\"or\", [\"not\", [\... | {"split": "train", "index": 15257} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: David, Victoria, Ava, Olivia, Benjamin, Sophia, Samuel, Luke, and Joseph. \"(Olivia is a pioneer and (Ava is a laggard if and only if Ava is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1924, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 4]], [\"not\", [\"lying\", 5]]]], [\"not\", [\"or\", [\"or\", ... | {"split": "train", "index": 15258} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jackson, Daniel, Jacob, Liam, Victoria, Michael, Ava, Benjamin, and Luke. Jackson asserted: \"(Victoria is a sinner if and only if (Luke is a saint a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1925, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"and\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 15259} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ava, Jacob, Lucas, Aurora, Oliver, Isabella, Lily, Victoria, and Ella. In Ava's words: \"((Jacob is a sinner if and only if Ella is a saint) and (Vic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1926, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]], [\"or\", [\"lying\", 7], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"or\", [\"->\", [\"not\", [... | {"split": "train", "index": 15260} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: David, Jacob, Amelia, James, Luke, Evelyn, Logan, Alexander, and Lucas. David said that Amelia is a knight or ((Jacob is a knight or Lucas is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1927, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"->\", [\"lying\", 2], [\"lying\", 7]]]], [\"->\", [\"not\", [\"or\", [\"lying\", 7], [\"telling-trut... | {"split": "train", "index": 15261} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Elizabeth, Michael, Emily, Henry, Mia, Sofia, Jackson, Chloe, and Ethan. \"if (it is not the case that (Michael is a pioneer or Elizabeth is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1928, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 3]], [\"telling-truth\", 2], [\"and\", [\"not\", [\"not\", [\"lying\", 0]]], [\"telling-truth\", 5]], [\"... | {"split": "train", "index": 15262} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jacob, Mason, Emily, Oliver, Victoria, Amelia, Logan, Abigail, and Charlotte. Jacob expressed that if (it is not the case that (Emily is a knight and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1929, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"lying\", 1]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"or\", [\"lying\", 7], [\"... | {"split": "train", "index": 15263} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Aria, Jacob, Noah, Scarlett, Matthew, Sofia, Harper, Jack, and Samuel. \"if (if (Matthew is a villain) then (Harper is a villain if and only if Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1930, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 6], [\"lying\", 8]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]]], [\"->\", [\"telling-truth\", 5], [\"->\", [\... | {"split": "train", "index": 15264} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: James, Zoey, Lily, Alexander, Daniel, Joseph, Olivia, Mason, and Emily. In James's words: \"((if James is a sage then Emily is a sage) if and only if (Zoey... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1931, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lying\", ... | {"split": "train", "index": 15265} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Oliver, Logan, Isabella, Riley, Amelia, Luke, Lucas, Scarlett, and Owen. Oliver commented, \"it is not the case that ((Owen is an altruist if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1932, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 8], [\"lying\", 1]]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"and\", [\"t... | {"split": "train", "index": 15266} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sophia, Luke, Alexander, Ella, Emma, Mason, Emily, Michael, and Evelyn. Sophia said that ((Evelyn is a sinner) if and only if (Alexander is a saint))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1933, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]]]], [\"telling-truth\", 1], [\"->\", [\"<=>\", [\"not\", [\"lyi... | {"split": "train", "index": 15267} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mia, Henry, Victoria, Grace, Riley, Scarlett, Harper, Sophia, and Jack. According to Mia, \"((Scarlett is a hero if and only if Sophia is a hero) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1934, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 6], [\"<=>\", [\"lying\", 2], [\"telling-tr... | {"split": "train", "index": 15268} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Riley, Sophia, Michael, Matthew, Emily, Grace, Sofia, Ava, and William. Riley stated, \"((if Ava is an egoist then Emily is an egoist) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1935, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 4]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"telling-truth\", 4... | {"split": "train", "index": 15269} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Abigail, Harper, Aurora, Joseph, Benjamin, Liam, Lucas, Avery, and Ava. \"Lucas is a sinner and ((Joseph is a saint) or (if Harper is a sinner then A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1936, \"statements\": [[\"and\", [\"lying\", 6], [\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"not\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\"... | {"split": "train", "index": 15270} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Joseph, Avery, Owen, Emma, Charlotte, Mason, Elizabeth, Aurora, and Victoria. Joseph said that (if (Avery is a saint) then (Mason is a sinner if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1937, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]]]], ... | {"split": "train", "index": 15271} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Amelia, Ava, Emma, Michael, Harper, Joseph, Emily, Liam, and David. Amelia said, \"Emma is an egoist and Michael is an altruist.\" Ava asserted... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1938, \"statements\": [[\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 6], [\"lying\", 8]]]], [\"lying\", 6], [\"lying\", 7],... | {"split": "train", "index": 15272} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aria, Henry, Owen, Joseph, Victoria, Lucas, Emma, Alexander, and Sofia. Aria noted, \"((Lucas is a fool) if and only if (Owen is a sage)) and ((Joseph is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1939, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"<=>\", [\"... | {"split": "train", "index": 15273} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emma, Zoey, Mia, Victoria, Evelyn, Jacob, Penelope, Matthew, and Lucas. Emma expressed that if (it is not the case that (Emma is a sinner)) then Matt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1940, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 7]], [\"->\", [\"->\", [\"not\", [\"lying\", 7]], [\"not\", [\"telling-truth\", 6]]], [\"lying\", 3]], [\"or\", [\"and\", [\"or\... | {"split": "train", "index": 15274} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ella, Michael, Emma, Benjamin, Isabella, Mason, William, Avery, and Mia. Ella noted, \"it is not the case that ((if Mason is a knave then Emma is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1941, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]]]], [\"lying\", 7], [\"or\", [\"and\", [\"or\", [\"lying\", 8], [\"lying\", 4]], [\"n... | {"split": "train", "index": 15275} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Matthew, Sebastian, Scarlett, Lily, Amelia, Sophia, Sofia, Noah, and Ella. As Matthew put it, \"Ella is an angel\". In Sebastian's words: \"it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1942, \"statements\": [[\"not\", [\"lying\", 8]], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"lying\", 2]]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"or\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"and\", [... | {"split": "train", "index": 15276} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Noah, Samuel, Lily, Jackson, Charlotte, Emily, Joseph, Avery, and Lucas. Noah told you that it is not the case that (Avery is a knight). Samuel comme... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1943, \"statements\": [[\"not\", [\"not\", [\"lying\", 7]]], [\"or\", [\"telling-truth\", 5], [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]], [\"lying\", 8]]], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"and\", ... | {"split": "train", "index": 15277} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lily, Alexander, Jacob, Riley, Michael, David, Penelope, Victoria, and Ethan. Lily remarked, \"((David is an egoist) if and only if (Victoria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1944, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"not\", [\"<=>\", [\"lyin... | {"split": "train", "index": 15278} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ella, Ava, Evelyn, Lucas, Jack, Sebastian, Elizabeth, Emily, and Jackson. \"(it is not the case that (Jackson is a saint and Ella is a saint)) and Ev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1945, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"telling-truth\", 2]], [\"<=>\", [\"or\", [\"or\", [\"lying\", 6], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"telling-t... | {"split": "train", "index": 15279} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Zoey, Noah, Ava, Logan, Grace, Owen, Sophia, Chloe, and Amelia. As Zoey put it, \"(Grace is a fool) and ((Chloe is a sage or Noah is a sage) or (Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1946, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"telling-truth\", 3], [\"<=>\", [\"no... | {"split": "train", "index": 15280} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ethan, Sebastian, William, Ella, Liam, Abigail, Charlotte, Matthew, and Scarlett. As Ethan put it, \"Liam is a knave\". \"if (Matthew is a knave) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1947, \"statements\": [[\"lying\", 4], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 3]]]], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 7]], [\"->\", [\"... | {"split": "train", "index": 15281} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Olivia, David, Scarlett, William, Lily, Emily, Jacob, James, and Evelyn. Olivia stated, \"David is a knave\". David asserted: \"William is a knave\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1948, \"statements\": [[\"lying\", 1], [\"lying\", 3], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"not\", [\"telling-truth\", 5]]]], [\"not\", [\"<=>\"... | {"split": "train", "index": 15282} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Abigail, Evelyn, Elizabeth, Oliver, Jack, William, Henry, Samuel, and Avery. Abigail noted, \"it is not the case that (if (Samuel is a sage if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1949, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]], [\"not\", [\"lying\", 8]]]], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"tell... | {"split": "train", "index": 15283} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: William, Zoey, Abigail, Aurora, Ethan, Alexander, Jacob, Logan, and Jack. In a statement by William: \"Abigail is a saint\". In a statement by Zoey: ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1950, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 5], [\"or\", [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3... | {"split": "train", "index": 15284} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Olivia, Lily, Riley, Jack, Henry, Mia, Matthew, Jacob, and Emma. Olivia told you that Mia is a knave. Lily expressed that if (Henry is a knight) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1951, \"statements\": [[\"not\", [\"telling-truth\", 5]], [\"->\", [\"not\", [\"lying\", 4]], [\"lying\", 4]], [\"lying\", 5], [\"and\", [\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"<... | {"split": "train", "index": 15285} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Michael, William, Isabella, Daniel, Victoria, Sebastian, Charlotte, Liam, and Grace. Michael remarked, \"it is not the case that (Isabella is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1952, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 6], [\"lying\", 4]]]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 0]], [\"and\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 15286} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: James, Michael, Jackson, William, Jack, Matthew, Scarlett, Emma, and Liam. James was heard saying, \"((if William is a knight then Michael is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1953, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 6]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"and\", [\"lying\"... | {"split": "train", "index": 15287} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Mia, Aria, Sophia, Aiden, Noah, Avery, Emma, Olivia, and Benjamin. \"if ((Noah is a devil or Sophia is an angel) if and only if Noah is an angel) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1954, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 6]]]], [\"->... | {"split": "train", "index": 15288} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Isabella, Henry, Amelia, Jack, Sophia, Victoria, Riley, Aurora, and Mia. \"(Amelia is a devil) and (it is not the case that (Henry is an angel and Soph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1955, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"or\", [\"telling-truth\", 2], [\"lying\", 7]]], ... | {"split": "train", "index": 15289} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Zoey, Emma, Aurora, Jack, Michael, Charlotte, Joseph, Avery, and Logan. Zoey told you that ((if Michael is an angel then Jack is a devil) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1956, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 8], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]], [\"or\", [\"telling-truth\", 2... | {"split": "train", "index": 15290} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Lily, Avery, Henry, Oliver, Evelyn, Emma, Scarlett, Penelope, and Aurora. Lily said that Penelope is a fool. In a statement by Avery: \"if ((Penelope is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1957, \"statements\": [[\"lying\", 7], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"->\", [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"lying\", 6]]... | {"split": "train", "index": 15291} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ava, Sebastian, Matthew, Mia, Logan, Henry, Lily, William, and Olivia. Ava stated, \"((Sebastian is an egoist) and (Sebastian is an altruist if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1958, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"telling-truth\", 1]]], [\... | {"split": "train", "index": 15292} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Henry, Logan, Aria, Charlotte, Jackson, Elizabeth, Liam, Zoey, and Oliver. \"(it is not the case that (Jackson is an angel and Oliver is an angel)) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1959, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 8]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"<=>\", ... | {"split": "train", "index": 15293} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emma, Grace, Abigail, Mason, Logan, David, Jacob, Aurora, and Ella. \"it is not the case that (it is not the case that (Logan is a fool or Abigail is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1960, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"->\", [\"or\", [\"not\", [\"telling-truth\", 7]], [\"lying\", 5]], [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 5]]]], [\"tell... | {"split": "train", "index": 15294} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sofia, Jack, Grace, Mason, Victoria, Matthew, James, Aiden, and Isabella. Sofia stated, \"if Matthew is a sinner then ((James is a sinner if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1961, \"statements\": [[\"->\", [\"lying\", 5], [\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]], [\"telling-truth\", 8]]], [\"<=>\", [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"or\", [\"n... | {"split": "train", "index": 15295} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emma, Sebastian, Michael, Chloe, Mason, Jackson, Benjamin, Lucas, and Amelia. Emma expressed that ((if Michael is a fool then Jackson is a fool) and (if Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1962, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 8], [\"telling-truth\", 0... | {"split": "train", "index": 15296} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ella, Lily, Logan, Oliver, Harper, Ava, Riley, Jack, and Liam. In a statement by Ella: \"it is not the case that ((Ella is a devil) and Oliver is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1963, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", ... | {"split": "train", "index": 15297} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emily, Ethan, Jacob, James, Aria, Michael, Benjamin, Lily, and Evelyn. Emily asserted: \"(Ethan is a sinner) if and only if (Benjamin is a saint and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1964, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 6], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7]]]], [\"<=>\", [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 8]], [\"... | {"split": "train", "index": 15298} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emily, Jackson, Abigail, Liam, Zoey, Mia, Oliver, Henry, and William. In a statement by Emily: \"Oliver is a hero\". Jackson noted, \"Abigail is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1965, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"or\", [\"lying\", 5], [\"telling-truth\", 1]]]], [\"and\", [\"or\", [\"or... | {"split": "train", "index": 15299} |
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