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