data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emily, Penelope, Ava, Daniel, and Lily. Emily said, \"(it is not the case that (Penelope is a saint and Daniel is a sinner)) and ((Daniel is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1844, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 17400} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Isabella, Penelope, Sebastian, Lily, and Oliver. \"((Sebastian is a devil and Sebastian is an angel) if and only if (if Sebastian is an angel then Lily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1845, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 3]]... | {"split": "train", "index": 17401} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Elizabeth, Isabella, James, Avery, and Riley. In a statement by Elizabeth: \"Isabella is a fool\". Isabella noted, \"(it is not the case that (if James is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1846, \"statements\": [[\"lying\", 1], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 2], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 3]], [\"not\",... | {"split": "train", "index": 17402} |
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, Noah, Chloe, and Liam. Mia stated, \"(it is not the case that (Mia is an angel or Noah is an angel or Chloe is a devil)) if and only if ((No... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1847, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 1], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]... | {"split": "train", "index": 17403} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Elizabeth, Isabella, Joseph, Sebastian, and Jackson. Elizabeth was heard saying, \"Sebastian is a fool\". Isabella was heard saying, \"if ((Sebastian is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1848, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"->\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"not\", [\... | {"split": "train", "index": 17404} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Zoey, Aria, Jackson, Aurora, and Isabella. Zoey said that Zoey is a saint. Aria noted, \"(it is not the case that (if Isabella is a sinner then Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1849, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"<=>\", [\"<=>\", [\"or\", [\"telli... | {"split": "train", "index": 17405} |
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, Liam, Elizabeth, James, and Grace. \"Grace is a pioneer or Grace is a laggard,\" Zoey declared. Liam told you that it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1850, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"not\", [\... | {"split": "train", "index": 17406} |
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, Emily, Samuel, Jack, and Noah. Penelope told you that Noah is a laggard. \"it is not the case that ((Emily is a pioneer if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1851, \"statements\": [[\"lying\", 4], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"or\", [\"lying\", 1], [\"and\", [\"and\", [\"lying\", ... | {"split": "train", "index": 17407} |
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: Abigail, Harper, Ella, Grace, and William. Abigail asserted: \"Ella is a hero\". Harper asserted: \"Ella is a villain\". In a statement by Ella: \"if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1852, \"statements\": [[\"telling-truth\", 2], [\"lying\", 2], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 4],... | {"split": "train", "index": 17408} |
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, Henry, Olivia, Noah, and Emma. Harper said, \"(if (Noah is a devil or Olivia is a devil) then (Olivia is an angel if and only if Noah is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1853, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"telling-truth\", 0]], [\"->\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]... | {"split": "train", "index": 17409} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Benjamin, Ava, Mia, Ella, and Joseph. Benjamin noted, \"(it is not the case that (Mia is a saint if and only if Mia is a sinner)) or (if (Ella is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1854, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]]]], [\"not\", [\"lying\", 0]], [... | {"split": "train", "index": 17410} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Isabella, Victoria, Sebastian, Harper, and Chloe. Isabella said that (Isabella is an angel if and only if (Sebastian is an angel if and only if Sebasti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1855, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\", 4]], [\"<=>... | {"split": "train", "index": 17411} |
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: Owen, Riley, Mason, Ethan, and Michael. \"((Riley is a villain if and only if Mason is a hero) if and only if (Riley is a hero)) and Owen is a hero\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1856, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]], [\"not\", [\"and\", [\"and\", [\"lying\", 1], [\"tel... | {"split": "train", "index": 17412} |
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, Grace, Samuel, Penelope, and Emma. Ethan expressed that Emma is a hero. Grace asserted: \"((Emma is a hero) if and only if (Grace is a hero an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1857, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 17413} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Alexander, Sofia, Grace, and Olivia. William noted, \"it is not the case that (if (William is a sage or Alexander is a fool) then (Sofia is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1858, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 17414} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mia, Owen, Lily, James, and William. \"it is not the case that ((Owen is a villain if and only if Lily is a hero) and (if Owen is a hero then James i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1859, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 17415} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Owen, Aria, Isabella, Michael, and Oliver. According to Owen, \"Oliver is a saint if and only if ((Oliver is a saint and Aria is a saint) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1860, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"and\", [\"not\", [\"or\", [\"telling-truth\",... | {"split": "train", "index": 17416} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Lily, Evelyn, Lucas, and Mason. Logan told you that ((if Lily is a knight then Logan is a knight) if and only if (Lily is a knight if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1861, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]... | {"split": "train", "index": 17417} |
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, Emma, Daniel, Jack, and Lily. According to Emily, \"if ((Daniel is a devil if and only if Jack is a devil) if and only if (if Jack is a devil th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1862, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1... | {"split": "train", "index": 17418} |
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: Benjamin, Lily, Avery, Grace, and Zoey. Benjamin asserted: \"Benjamin is a pioneer\". Lily noted, \"Grace is a laggard and (if (Grace is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1863, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"lying\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\... | {"split": "train", "index": 17419} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aria, David, Sebastian, Jack, and Alexander. Aria told you that (David is a fool and (if Aria is a sage then Alexander is a sage) and Alexander is a sage) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1864, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 17420} |
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: Daniel, Noah, Emma, Luke, and Victoria. Daniel was heard saying, \"((Emma is an angel) and (if Victoria is an angel then Noah is a devil)) or (if (Dani... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1865, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 4]], [\"<=>\", [\"and\", [\... | {"split": "train", "index": 17421} |
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, Scarlett, Aria, Victoria, and Grace. In a statement by Emma: \"((Victoria is a sinner) or (Grace is a sinner or Aria is a sinner) or (Aria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1866, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 17422} |
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, Lily, Ava, Noah, and Emma. Zoey said, \"(if (Noah is a laggard or Ava is a pioneer) then (if Lily is a laggard then Noah is a laggard)) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1867, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 17423} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Evelyn, Isabella, Chloe, Aiden, and James. \"it is not the case that ((Isabella is an altruist and Aiden is an egoist) or (James is an egoist i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1868, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", ... | {"split": "train", "index": 17424} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: David, Lily, Daniel, Mason, and Avery. \"if Lily is an altruist then ((Mason is an egoist or Daniel is an altruist) and Avery is an egoist)\" -... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1869, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", ... | {"split": "train", "index": 17425} |
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, Sophia, Benjamin, William, and David. Luke commented, \"(Luke is a knight if and only if (Sophia is a knight if and only if David is a knave)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1870, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 3]], [\"and\", [\"or\", [\"t... | {"split": "train", "index": 17426} |
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, Luke, Lucas, Aria, and Harper. Charlotte said, \"(it is not the case that (Harper is a knight or Lucas is a knight)) and (Charlotte is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1871, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"not\", [\"lying\", 0]], [\"and\", [\"<=>\", [\"telling-truth... | {"split": "train", "index": 17427} |
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: Emily, Matthew, Lucas, Sophia, and Samuel. \"if (if (if Samuel is an altruist then Samuel is an egoist) then (Samuel is an altruist and Sophia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1872, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"not\... | {"split": "train", "index": 17428} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Penelope, Jackson, Emma, Scarlett, and Chloe. Penelope noted, \"(it is not the case that (Emma is a laggard or Chloe is a laggard)) and ((Jacks... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1873, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"or\", [\"not\", [\"or\", [\"lying\", 0],... | {"split": "train", "index": 17429} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ava, Aiden, Alexander, Riley, and Michael. Ava said that if ((if Aiden is a devil then Aiden is an angel) or Riley is a devil) then ((if Aiden is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1874, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"lying\", 3]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 1]]]], [\"->\", [\"->\", [\"or\", [\"... | {"split": "train", "index": 17430} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Zoey, Avery, Grace, Matthew, and Isabella. Zoey expressed that Matthew is a sinner. Avery said that Grace is a sinner and ((Avery is a saint and Grac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1875, \"statements\": [[\"lying\", 3], [\"and\", [\"lying\", 2], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"or\",... | {"split": "train", "index": 17431} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Charlotte, Isabella, Emma, Logan, and Jackson. According to Charlotte, \"if Logan is a sage then ((Jackson is a fool) if and only if Isabella is a fool)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1876, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 1]]], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"not\", [\"lying\", 4]], ... | {"split": "train", "index": 17432} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Owen, Emma, Matthew, Aurora, and Chloe. Owen said that ((if Matthew is an angel then Chloe is a devil) if and only if (Owen is a devil)) and ((Aurora i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1877, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 17433} |
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, Evelyn, Lucas, Benjamin, and David. In Daniel's words: \"if (David is a laggard or (Daniel is a pioneer and David is a laggard) or (Eve... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1878, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 2]]], [\"and\... | {"split": "train", "index": 17434} |
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, Aurora, Victoria, Michael, and Joseph. In Luke's words: \"(it is not the case that (Aurora is a villain)) and Joseph is a villain and ((Victori... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1879, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"lying\", 4], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 17435} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Harper, Ella, Sebastian, and Charlotte. Olivia said, \"((Charlotte is a sinner if and only if Ella is a saint) and (Sebastian is a sinner and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1880, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"an... | {"split": "train", "index": 17436} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jackson, Jacob, Liam, David, and Lucas. \"Liam is a saint,\" Jackson declared. Jacob told you that (Lucas is a sinner and (if Jacob is a saint then D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1881, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"lying\", 2], ... | {"split": "train", "index": 17437} |
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: Mason, Matthew, Lucas, Olivia, and Chloe. Mason noted, \"((if Lucas is a saint then Olivia is a sinner) if and only if (Chloe is a saint)) and (Chloe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1882, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"... | {"split": "train", "index": 17438} |
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: Elizabeth, Emma, Liam, Penelope, and Luke. Elizabeth stated, \"Liam is a laggard\". Emma commented, \"((if Emma is a pioneer then Liam is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1883, \"statements\": [[\"lying\", 2], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"te... | {"split": "train", "index": 17439} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Isabella, Aurora, Amelia, Ethan, and Jack. Isabella said, \"((Aurora is a fool) or (if Ethan is a fool then Ethan is a sage)) and ((Aurora is a sage if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1884, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"lying\", 3], [\"->\", [\"te... | {"split": "train", "index": 17440} |
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: Samuel, Matthew, Penelope, Aria, and Lucas. In a statement by Samuel: \"it is not the case that (it is not the case that (Penelope is an angel and Samu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1885, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"lying\", 0], [\"not\", [\"->\", [\"not\", [\"lying\", 2]], [\"not\",... | {"split": "train", "index": 17441} |
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: Daniel, Elizabeth, Evelyn, Scarlett, and Sebastian. Daniel said that ((if Scarlett is a knave then Sebastian is a knight) and (Evelyn is a knight if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1886, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 2], [\"and\", [\"lying\", 2], [\"lying\", 1], [\"lyi... | {"split": "train", "index": 17442} |
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, Lucas, Oliver, Henry, and Mason. Penelope stated, \"((if Henry is an angel then Penelope is an angel) or (Mason is an angel)) or (if Mason is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1887, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"->\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"or\", [\"->... | {"split": "train", "index": 17443} |
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: Emily, Lily, Avery, Sophia, and Lucas. Emily commented, \"(if (Lucas is an altruist if and only if Lily is an egoist) then (Emily is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1888, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"... | {"split": "train", "index": 17444} |
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, Mason, Zoey, Matthew, and Ethan. Sebastian noted, \"((Mason is a sinner and Mason is a saint and Matthew is a saint) if and only if (Ethan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1889, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"lyi... | {"split": "train", "index": 17445} |
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, Lily, Owen, Benjamin, and Amelia. As Grace put it, \"(it is not the case that (Owen is an angel if and only if Owen is a devil)) or ((Benjamin i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1890, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"... | {"split": "train", "index": 17446} |
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: Alexander, Elizabeth, Grace, Avery, and Abigail. Alexander was heard saying, \"if ((Grace is an altruist or Elizabeth is an egoist or Abigail i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1891, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 1]], [\"<=>\", [\"not\", [\"->... | {"split": "train", "index": 17447} |
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: Alexander, Amelia, Liam, Riley, and Scarlett. \"Riley is a hero or (Scarlett is a villain and (Amelia is a villain))\" - Alexander. In Amelia's words... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1892, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-t... | {"split": "train", "index": 17448} |
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: Alexander, Ava, Elizabeth, Lily, and Lucas. Alexander expressed that it is not the case that ((Lucas is a villain and Lucas is a hero and Ava is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1893, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"lying\", 0], [\"and\", [\"<=>\", [\"->\", [\"lying\", 4], [\"... | {"split": "train", "index": 17449} |
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, Ava, Daniel, Elizabeth, and James. Isabella said that ((James is a knave if and only if Elizabeth is a knave) or (Ava is a knave) or (Eliza... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1894, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"te... | {"split": "train", "index": 17450} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Logan, Luke, Victoria, Lily, and James. Logan said, \"if (if (Lily is an altruist if and only if Victoria is an egoist) then (Lily is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1895, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-tru... | {"split": "train", "index": 17451} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Emma, Jack, James, and Scarlett. \"(it is not the case that (Scarlett is a knave if and only if Jack is a knave)) if and only if (it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1896, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]... | {"split": "train", "index": 17452} |
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, Sebastian, Sofia, and Grace. Lily asserted: \"((Elizabeth is a pioneer and Grace is a laggard) or (Elizabeth is a laggard and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1897, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\... | {"split": "train", "index": 17453} |
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, Luke, Harper, Avery, and Michael. Grace said, \"if ((if Luke is a laggard then Harper is a pioneer) or (Harper is a pioneer and Michael ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1898, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"t... | {"split": "train", "index": 17454} |
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, Noah, Sofia, Samuel, and Mason. Penelope said, \"(Mason is a laggard and (Sofia is a pioneer and Samuel is a pioneer and Samuel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1899, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 3], [\"tel... | {"split": "train", "index": 17455} |
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: Chloe, Liam, Scarlett, Mason, and Charlotte. Chloe noted, \"(Charlotte is a devil or (Scarlett is an angel and Liam is a devil and Liam is an angel)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1900, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"->\", [\"or\", ... | {"split": "train", "index": 17456} |
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, Joseph, Emily, Noah, and Amelia. Charlotte told you that ((Emily is a knave or Noah is a knight or Joseph is a knave) and (Amelia is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1901, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 4]], [\"lying\", 2]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 17457} |
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: Chloe, Alexander, Noah, Penelope, and Michael. Chloe stated, \"((if Alexander is a knave then Penelope is a knight) if and only if Michael is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1902, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"lying\", 4]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 2]]]], [\"->\", [\"telling-truth\", 0], [\"te... | {"split": "train", "index": 17458} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Henry, Mia, Emma, William, and Liam. In a statement by Henry: \"if (if (Mia is a hero and Emma is a villain and Emma is a hero) then (Emma is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1903, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 1]],... | {"split": "train", "index": 17459} |
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: Alexander, Aria, Lucas, Jacob, and Benjamin. Alexander expressed that ((if Alexander is an altruist then Jacob is an altruist) or (Lucas is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1904, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"a... | {"split": "train", "index": 17460} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Chloe, Matthew, Oliver, and Mia. Olivia remarked, \"it is not the case that (if (if Chloe is a sinner then Oliver is a saint) then (Olivia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1905, \"statements\": [[\"not\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"te... | {"split": "train", "index": 17461} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Lily, Emily, Daniel, and Logan. \"if Emily is a sinner then ((Daniel is a sinner if and only if Emily is a sinner) or (Olivia is a sinner) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1906, \"statements\": [[\"->\", [\"lying\", 2], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"... | {"split": "train", "index": 17462} |
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, Avery, Aiden, Noah, and Scarlett. Ava asserted: \"if (Noah is a knight if and only if (if Aiden is a knave then Scarlett is a knave)) then (if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1907, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"->\", [\... | {"split": "train", "index": 17463} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Michael, Lucas, Logan, Sofia, and Owen. Michael said, \"(it is not the case that (Logan is a hero or Michael is a hero)) and (it is not the case that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1908, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"telling-truth\", 0]], [\"telling-truth\", 3], [\"<=>\", [\"<... | {"split": "train", "index": 17464} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Isabella, Scarlett, Grace, Amelia, and Mason. Isabella asserted: \"Grace is an angel\". Scarlett commented, \"(Mason is an angel if and only if (Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1909, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"ly... | {"split": "train", "index": 17465} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Riley, Avery, Jacob, Sebastian, and Ella. Riley noted, \"it is not the case that (it is not the case that (if Jacob is an altruist then Avery i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1910, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"lying\", 1], [\"->\", [\"and\", [\"telling-truth\", 4], [\"and\", [\"lying\", ... | {"split": "train", "index": 17466} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ella, Jack, Aiden, Mason, and Harper. Ella expressed that ((Aiden is a laggard) or (Aiden is a laggard if and only if Ella is a pioneer)) or ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1911, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]]], [\"telling-truth\", 2], ... | {"split": "train", "index": 17467} |
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, Owen, Daniel, Lucas, and Sophia. In Emily's words: \"Emily is a pioneer and (if (Lucas is a pioneer and Emily is a pioneer) then (if Sop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1912, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"telling-truth\", 4], [\"<=>\", [\"and\", [\"no... | {"split": "train", "index": 17468} |
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: Mason, Jacob, Ava, Lily, and Elizabeth. Mason noted, \"it is not the case that (it is not the case that (Lily is a saint))\". Jacob said, \"((Ava is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1913, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 3]]]], [\"<=>\", [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\",... | {"split": "train", "index": 17469} |
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: Charlotte, Ella, Zoey, Emily, and Lucas. Charlotte told you that ((Ella is an altruist if and only if Ella is an egoist) or (Zoey is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1914, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"lying\", 4], [\"and\", [\"n... | {"split": "train", "index": 17470} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Amelia, Alexander, Charlotte, Sofia, and Ella. \"Alexander is a saint,\" Amelia declared. Alexander remarked, \"Ella is a saint\". In Charlotte's wor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1915, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 4], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]],... | {"split": "train", "index": 17471} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sebastian, Samuel, Avery, David, and Matthew. Sebastian said, \"((Samuel is a pioneer if and only if Samuel is a laggard) and Samuel is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1916, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 1]], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"lying... | {"split": "train", "index": 17472} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sofia, Aiden, Logan, Harper, and Luke. Sofia told you that ((Luke is a villain and Harper is a hero) and Harper is a villain and (if Luke is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1917, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"lying\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"ly... | {"split": "train", "index": 17473} |
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: Jacob, Victoria, Ava, Emma, and Aurora. \"it is not the case that ((Emma is an egoist if and only if Jacob is an altruist) or Aurora is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1918, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"telling-tru... | {"split": "train", "index": 17474} |
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: Joseph, Ava, Jacob, William, and Abigail. As Joseph put it, \"((Jacob is a sage if and only if Abigail is a sage) or (William is a sage or Abigail is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1919, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 2]], [\"or\", [\"not\", [\"telling-truth\", 4]... | {"split": "train", "index": 17475} |
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, Scarlett, Abigail, Chloe, and Mason. \"((Abigail is an egoist) if and only if Scarlett is an altruist) and ((Scarlett is an egoist if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1920, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-tr... | {"split": "train", "index": 17476} |
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, Chloe, Daniel, Jack, and Liam. In Amelia's words: \"it is not the case that ((Daniel is a devil and Liam is a devil and Jack is an angel) or (C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1921, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]]], [\"or\", [\"lying\", 0], [\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"t... | {"split": "train", "index": 17477} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Logan, Evelyn, Henry, Zoey, and Daniel. \"(it is not the case that (Zoey is a villain)) and ((Daniel is a hero) if and only if (Zoey is a villain or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1922, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"telling-truth\", 3], [\"lying\", 0], [\"and\", [\"->\",... | {"split": "train", "index": 17478} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Benjamin, Aria, Emma, Charlotte, and Zoey. According to Benjamin, \"((Zoey is a sinner) and Emma is a sinner and (Emma is a saint and Charlotte is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1923, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 17479} |
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: Riley, Jackson, Ella, Luke, and Daniel. Riley was heard saying, \"(it is not the case that (Ella is a villain)) and (Daniel is a villain if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1924, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 4]]],... | {"split": "train", "index": 17480} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Samuel, Sebastian, Scarlett, and Grace. Oliver stated, \"Grace is a knave\". Samuel was heard saying, \"if Oliver is a knight then ((Oliver i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1925, \"statements\": [[\"lying\", 4], [\"->\", [\"telling-truth\", 0], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 4], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 17481} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Chloe, Aurora, Sofia, and Liam. Benjamin stated, \"Aurora is a knave\". Chloe said that Liam is a knight. \"((if Liam is a knight then Chlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1926, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"lying\", 4], [\"->\", [\"lyi... | {"split": "train", "index": 17482} |
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: Charlotte, Ethan, Joseph, Emily, and Amelia. As Charlotte put it, \"(if (if Amelia is an altruist then Ethan is an altruist) then (Amelia is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1927, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 1], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 2]... | {"split": "train", "index": 17483} |
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: Victoria, Benjamin, Jackson, Michael, and Ethan. Victoria noted, \"(Michael is a hero and (Benjamin is a villain)) and Michael is a hero\". \"(if Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1928, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 3]], [\"<=>\", [\"->\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [... | {"split": "train", "index": 17484} |
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: Liam, Benjamin, Matthew, Mason, and Riley. Liam was heard saying, \"it is not the case that (if (if Mason is a villain then Riley is a villain) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1929, \"statements\": [[\"not\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\"... | {"split": "train", "index": 17485} |
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, Noah, Aria, Oliver, and Victoria. Lily commented, \"Noah is a hero or (Noah is a hero or (Oliver is a hero and Noah is a hero))\". In a stateme... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1930, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]... | {"split": "train", "index": 17486} |
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, Emily, Mia, David, and Riley. In a statement by Ethan: \"(it is not the case that (Riley is a hero and Emily is a hero)) if and only if ((Emil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1931, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\... | {"split": "train", "index": 17487} |
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: Alexander, David, Oliver, Penelope, and Jack. \"if (it is not the case that (Penelope is a villain and David is a villain and Oliver is a villain)) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1932, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"tell... | {"split": "train", "index": 17488} |
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, Owen, Noah, David, and Abigail. Alexander expressed that if Noah is a saint then (David is a saint or (David is a saint if and only if Ale... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1933, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"not\", [\"<=>\", [\"te... | {"split": "train", "index": 17489} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Jackson, Lily, Isabella, and Aiden. \"if (if Isabella is a knight then (Jackson is a knight if and only if Jackson is a knave)) then ((if Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1934, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], ... | {"split": "train", "index": 17490} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: William, Noah, Mason, Olivia, and Victoria. \"((Mason is an egoist and William is an altruist) or (Victoria is an altruist and Mason is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1935, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"lying\", 1]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-trut... | {"split": "train", "index": 17491} |
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, Michael, Jackson, Sebastian, and Liam. Benjamin commented, \"((Benjamin is a villain) and Sebastian is a hero and (Benjamin is a hero if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1936, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"lying\", 1]], [\"->\", [\"<=>\", [\"and\", [\"lying\", 3], [\... | {"split": "train", "index": 17492} |
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, Noah, Jacob, Victoria, and David. In a statement by Emily: \"if (if (if David is an angel then Victoria is a devil) then (Victoria is an angel))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1937, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"te... | {"split": "train", "index": 17493} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Penelope, Luke, Aurora, Abigail, and Oliver. \"(it is not the case that (if Luke is a sage then Oliver is a fool)) if and only if ((Oliver is a fool if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1938, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 3]]]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 0... | {"split": "train", "index": 17494} |
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, Olivia, Liam, Jack, and Amelia. Mason noted, \"Liam is a knave and (if (Liam is a knight) then (Jack is a knight)) and Jack is a knave\". Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1939, \"statements\": [[\"and\", [\"lying\", 2], [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"lying\", 3]], [\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"telling-truth\... | {"split": "train", "index": 17495} |
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: Lily, Logan, Alexander, Sebastian, and Amelia. \"if (if (Logan is a saint) then (Logan is a sinner)) then ((if Amelia is a sinner then Logan is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1940, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"or\", [\... | {"split": "train", "index": 17496} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Sophia, Abigail, Zoey, and Jacob. Owen told you that it is not the case that ((Jacob is a knave and Abigail is a knight) if and only if (Sophia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1941, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"and\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"tellin... | {"split": "train", "index": 17497} |
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, Harper, Lucas, Scarlett, and Jacob. Emily said, \"Lucas is an angel.\" Harper noted, \"(Emily is a devil) and ((Emily is an angel and Harper is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1942, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"and\", [\... | {"split": "train", "index": 17498} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Daniel, Ella, Jacob, Jackson, and Joseph. As Daniel put it, \"((Joseph is an altruist and Jacob is an altruist and Jackson is an altruist) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1943, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 3], ... | {"split": "train", "index": 17499} |
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