data_source stringclasses 1
value | prompt stringlengths 948 4.18k | ability stringclasses 1
value | reward_model stringlengths 1.89k 8.09k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: James, Ava, Matthew, Chloe, Oliver, Harper, Aurora, Michael, and Abigail. In a statement by James: \"(it is not the case that (Chloe is a hero and Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1844, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 17400} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Charlotte, Matthew, Aurora, Zoey, James, Mason, Jackson, Luke, and Victoria. Charlotte told you that ((if James is a knave then Victoria is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1845, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 8], [\"lying\"... | {"split": "train", "index": 17401} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Owen, Chloe, Mia, Mason, Jacob, Emily, Emma, Zoey, and Ella. \"Chloe is a laggard,\" Owen declared. \"((Zoey is a pioneer or Emily is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1846, \"statements\": [[\"lying\", 1], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 8]], [\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 0]... | {"split": "train", "index": 17402} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Riley, Matthew, Liam, William, Penelope, Alexander, Jack, Noah, and Lily. Riley was heard saying, \"Penelope is an altruist and (it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1847, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-tru... | {"split": "train", "index": 17403} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Samuel, Sofia, Isabella, Amelia, Lily, Emily, Benjamin, Jackson, and Aurora. Samuel said that Emily is a villain. As Sofia put it, \"if ((Benjamin is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1848, \"statements\": [[\"not\", [\"telling-truth\", 5]], [\"->\", [\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 7], [\"lying\", 8]]], [\"and\", [\"not\", [\... | {"split": "train", "index": 17404} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Benjamin, Michael, Lily, Penelope, Mason, Joseph, Lucas, Victoria, and Logan. As Benjamin put it, \"((Victoria is an egoist if and only if Maso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1849, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"or\", [\"or\", [\... | {"split": "train", "index": 17405} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: David, Emily, Sebastian, Zoey, Matthew, Abigail, Mia, Lily, and Liam. David expressed that Liam is a sage or Lily is a fool. Emily said that it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1850, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"lying\", 7]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8]]]], [\"not\", [\... | {"split": "train", "index": 17406} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Liam, Chloe, Owen, Aurora, Olivia, Jackson, Ella, Noah, and Abigail. \"Abigail is a fool,\" Liam declared. \"it is not the case that ((Owen is a sage if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1851, \"statements\": [[\"lying\", 8], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]]]], [\"or\", [\"telling-truth\", 1], [\"and\", [\"not\", [\"t... | {"split": "train", "index": 17407} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Avery, Evelyn, Sebastian, Aiden, Lucas, Oliver, Jackson, Joseph, and Isabella. Avery said, \"Oliver is a knight.\" \"Sebastian is a knave,\" Evelyn d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1852, \"statements\": [[\"telling-truth\", 5], [\"lying\", 2], [\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"telling-truth\", 0], [\"lying\", 8]], [\"<=>\", [\"->\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 17408} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emma, Lily, Noah, Liam, Oliver, David, Luke, Lucas, and Mason. Emma told you that it is not the case that ((David is a sage and Liam is a sage) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1853, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 7], [\"telling-truth\", 6]]]], [\"and\", [\"not\", [\"and\", [\"lying\... | {"split": "train", "index": 17409} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emily, Riley, Isabella, Mia, Ava, Avery, Jacob, Jackson, and Charlotte. \"(it is not the case that (Avery is a knight if and only if Avery is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1854, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]], [\"->\", [\"lying\", 6], [\"lying\", 4]]]], [\"not\", [\"lying\", 0]], [... | {"split": "train", "index": 17410} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lucas, Ava, Joseph, Mason, Avery, Amelia, Aiden, Jack, and Zoey. In a statement by Lucas: \"Joseph is a laggard\". \"Aiden is a pioneer\" - Ava... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1855, \"statements\": [[\"lying\", 2], [\"telling-truth\", 6], [\"or\", [\"lying\", 3], [\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 5], [\"lying\", 0]]], [\"not\", [\"not\", [\"telling-tru... | {"split": "train", "index": 17411} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Victoria, Grace, Owen, Charlotte, Ethan, Sophia, Alexander, Matthew, and Mason. Victoria said that Sophia is a laggard. Grace asserted: \"Matth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1856, \"statements\": [[\"lying\", 5], [\"not\", [\"telling-truth\", 7]], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"telling-trut... | {"split": "train", "index": 17412} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Scarlett, Lily, Ava, Aiden, Ethan, Emma, Grace, Isabella, and Aurora. \"(it is not the case that (Aiden is a saint)) or (if (Ava is a sinner if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1857, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 6]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"lying\", 1]], [\"or\", [\"telling-truth\",... | {"split": "train", "index": 17413} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Sebastian, Olivia, William, Elizabeth, Isabella, Avery, Evelyn, Ava, and Daniel. Sebastian told you that ((Elizabeth is an altruist or Avery is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1858, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 5]], [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 8], [\"lying\", 7]], [\"<=>\", [\"telling-tru... | {"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 9 inhabitants: Riley, Lily, Grace, Mia, William, Oliver, Chloe, Evelyn, and Aurora. Riley remarked, \"(if (Mia is a villain and Evelyn is a villain) then Aurora is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1859, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 7]], [\"telling-truth\", 8]], [\"and\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 17415} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Matthew, Victoria, Ella, Aiden, Alexander, Grace, Samuel, Owen, and Mason. \"Victoria is a pioneer\" - Matthew. Victoria noted, \"Ella is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1860, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 2], [\"->\", [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 7]], [\"<=>\", [\"lying\", 5], [\"telling-truth\"... | {"split": "train", "index": 17416} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Noah, Benjamin, Matthew, Elizabeth, Amelia, Alexander, Henry, Emily, and Sophia. Noah told you that it is not the case that ((Alexander is an angel or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1861, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 5]], [\"and\", [\"telling-truth\", 6], [\"lying\", 8], [\"telling-truth\", 4]]]], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"te... | {"split": "train", "index": 17417} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Emma, Scarlett, Penelope, Sofia, Abigail, Sebastian, Michael, Matthew, and Zoey. Emma commented, \"it is not the case that ((Matthew is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1862, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 6]], [\"->\", [\"telling-truth\", 7], [\"lying\", 2]]]], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\... | {"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 9 inhabitants: Samuel, Sebastian, Charlotte, Lily, Grace, Jacob, Zoey, Emily, and Matthew. Samuel stated, \"(it is not the case that (Charlotte is a pioneer))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1863, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 2]]], [\"telling-truth\", 5]], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 7]]]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 17419} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Owen, Henry, Evelyn, Ella, Penelope, Jackson, Joseph, Victoria, and Oliver. \"(if (Evelyn is a laggard) then (Ella is a pioneer and Henry is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1864, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"lying\", 5], [\"... | {"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 9 inhabitants: Aiden, Matthew, Michael, Alexander, Mia, Emma, Isabella, Noah, and David. In Aiden's words: \"((Emma is an angel) and (if David is an angel then Alexan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1865, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 8]], [\"<=>\", [\"and\", [\"telling... | {"split": "train", "index": 17421} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Victoria, Alexander, Scarlett, Elizabeth, Emma, Jackson, Aiden, David, and Sebastian. In Victoria's words: \"it is not the case that ((David is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1866, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 4]]]], [\"<=>\", [\"or\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 4]], [\"not\", [\"te... | {"split": "train", "index": 17422} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Noah, David, Ava, Luke, Lily, Emma, Charlotte, Sebastian, and Riley. \"if ((Riley is an angel or Sebastian is a devil or Lily is an angel) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1867, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 7], [\"telling-truth\", 4]], [\"not\", [\"lying\", 7]]], [\"telling-truth\", 7]], [\"telling-truth\", 3], [\"or\", [\"lying\", 4], [\"not\"... | {"split": "train", "index": 17423} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Zoey, Mia, Penelope, Chloe, Scarlett, Harper, Jack, Mason, and Evelyn. \"((if Harper is a fool then Scarlett is a fool) and (Evelyn is a sage or Mason is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1868, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 4]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"or\", [\"telling-truth\", 7]... | {"split": "train", "index": 17424} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Henry, Michael, Emily, Riley, Jacob, James, Joseph, Sophia, and Zoey. Henry stated, \"if Michael is a sinner then ((Riley is a saint and Jacob is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1869, \"statements\": [[\"->\", [\"lying\", 1], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"<=>\", [... | {"split": "train", "index": 17425} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Joseph, Charlotte, Evelyn, Jacob, Harper, Isabella, Aria, Jackson, and Sophia. Joseph asserted: \"(Charlotte is an angel if and only if (Charlotte is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1870, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 5], [\"telling-trut... | {"split": "train", "index": 17426} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Avery, Benjamin, Aria, Samuel, Aurora, Scarlett, Amelia, James, and Victoria. Avery said that (it is not the case that (James is a sage or Aurora is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1871, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"->\", [\"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 9 inhabitants: Penelope, Emma, Owen, Aiden, Amelia, Victoria, Ethan, Abigail, and Sebastian. In Penelope's words: \"if (if (if Abigail is an altruist then Seb... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1872, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\... | {"split": "train", "index": 17428} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: William, Logan, Emma, Sophia, Aria, Ella, Aurora, Oliver, and Jack. \"((if Aria is an altruist then Logan is an altruist) or (Jack is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1873, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 7]], [\"lying\", 5]... | {"split": "train", "index": 17429} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Charlotte, Scarlett, Mason, Ava, Alexander, Henry, Amelia, Chloe, and Michael. Charlotte expressed that ((Alexander is a sage) and (Amelia is a sage or Sca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1874, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"lying\", 7], [\"lyin... | {"split": "train", "index": 17430} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lily, Ava, Alexander, Sophia, Victoria, Harper, Mason, Jacob, and Scarlett. Lily told you that it is not the case that ((Ava is a pioneer) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1875, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 6]]]], [\"telling-truth\", 7], [\"or\", [\"->\", [\"lying\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", 8... | {"split": "train", "index": 17431} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Logan, Oliver, Elizabeth, James, Mason, Noah, Samuel, Emma, and Riley. Logan said, \"if Emma is a pioneer then ((Oliver is a pioneer) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1876, \"statements\": [[\"->\", [\"telling-truth\", 7], [\"<=>\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 3]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 7]], [... | {"split": "train", "index": 17432} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: James, Zoey, Jack, Emma, Scarlett, Grace, Victoria, Aria, and Abigail. According to James, \"if ((if Abigail is an altruist then Grace is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1877, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"->\", [\"lying\", 1], [\"lying\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 6]], [\"telling-truth\", 0]]... | {"split": "train", "index": 17433} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Charlotte, David, Michael, Joseph, Emily, Amelia, Zoey, Aiden, and Henry. Charlotte was heard saying, \"Michael is an altruist\". \"(Charlotte ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1878, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 5]], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 1]],... | {"split": "train", "index": 17434} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Joseph, Matthew, Liam, Ava, Mia, Samuel, Jack, Aiden, and Alexander. \"(it is not the case that (Liam is an egoist)) and Aiden is an egoist and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1879, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"lying\", 7], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 17435} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Lucas, Scarlett, William, Joseph, James, Grace, Jackson, Avery, and Liam. Lucas was heard saying, \"if (Avery is a hero if and only if (Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1880, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"lyin... | {"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 9 inhabitants: Noah, Daniel, Abigail, Sofia, Zoey, Owen, Liam, Lily, and Benjamin. Noah stated, \"it is not the case that (if (Zoey is a saint) then (Abigail is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1881, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 6]]]], [\"<=>\", [\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"telling-truth\"... | {"split": "train", "index": 17437} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Amelia, Owen, Benjamin, Mason, Ella, Olivia, Aiden, Oliver, and Jack. Amelia said that (it is not the case that (Ella is an angel if and only if Owen i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1882, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"lying\", 4... | {"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 9 inhabitants: Liam, Aurora, Mia, Aiden, Emily, Ella, Jacob, Emma, and Matthew. Liam was heard saying, \"((Aurora is a laggard) or (if Jacob is a laggard then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1883, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 6], [\"lying\", 8]], [\"<=>\", [\"lying\", 2], [\"lying\", 5]]], [\"lying\", 3], [\"not\", [\"->\", [\"lying\", 5], [\"telling-tr... | {"split": "train", "index": 17439} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ava, Lily, Jack, David, Ella, Aria, Benjamin, Mason, and Evelyn. Ava was heard saying, \"it is not the case that (if (Aria is a sinner or Ella is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1884, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 5], [\"lying\", 4], [\"lying\", 6]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"<=>\", [\"not\", [\"not\", [\"lying\", 5]]], [\"or\", [\"and\",... | {"split": "train", "index": 17440} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Victoria, Chloe, Lucas, Olivia, Owen, Samuel, Amelia, Sofia, and Benjamin. Victoria expressed that it is not the case that ((if Owen is a saint then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1885, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 7], [\"lying\", 3]], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", ... | {"split": "train", "index": 17441} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Harper, Avery, Chloe, Matthew, Ava, Jackson, Michael, Ella, and Emily. Harper asserted: \"(if (Ava is a fool or Emily is a sage or Michael is a sage) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1886, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"telling-truth\", 8]], [\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 5], ... | {"split": "train", "index": 17442} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emma, Luke, Amelia, Aurora, Harper, Henry, Abigail, Sophia, and James. \"Sophia is a villain if and only if (if (James is a villain if and only if Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1887, \"statements\": [[\"<=>\", [\"lying\", 7], [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"not\", [\"lying\", 6]]]], [\"<=>\", [\"lying\", 8], [\"and\", [\"or\", [\"lying\", 8], [\"lying\", 7]], [\"or\", [... | {"split": "train", "index": 17443} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Chloe, Abigail, Riley, Sophia, Elizabeth, Amelia, Sofia, Evelyn, and Alexander. As Chloe put it, \"(it is not the case that (Sophia is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1888, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 1]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]]]], [\"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 9 inhabitants: Ava, Jackson, Victoria, Mason, David, Sophia, James, Aria, and Lily. Ava asserted: \"((Mason is a sinner and Mason is a saint and James is a saint) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1889, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"and\", [\"lying\", 1], [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-tru... | {"split": "train", "index": 17445} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Charlotte, Lily, Sebastian, Grace, Riley, Henry, Ella, Aurora, and Ethan. \"((if Lily is a knave then Henry is a knave) or (if Riley is a knight then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1890, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 5]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"lying\", 2]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\"... | {"split": "train", "index": 17446} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Olivia, Jackson, Aurora, Sofia, Penelope, Sebastian, Emily, Evelyn, and Amelia. Olivia told you that Jackson is a hero. In Jackson's words: \"(if (Ev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1891, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"not\", [\"lying\", 7]], [\"or\", [\"telling-truth\", 7], [\"lying\", 0], [\"lying\", 7]]], [\"->\", [\"not\", [\"lying\", 7]], [\"not\", [\"lying\", 2]]], [\"... | {"split": "train", "index": 17447} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Amelia, Henry, Chloe, Aria, Charlotte, Jackson, Liam, Owen, and Scarlett. As Amelia put it, \"((Owen is a saint) if and only if Owen is a sinner) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1892, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 7]], [\"lying\", 7]], [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"<=>\", [\"not\",... | {"split": "train", "index": 17448} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emily, David, Abigail, Evelyn, Benjamin, Noah, Zoey, Oliver, and Matthew. Emily remarked, \"it is not the case that ((Matthew is a laggard and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1893, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"telling-tru... | {"split": "train", "index": 17449} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Samuel, Liam, Emily, Mason, Noah, Michael, Alexander, Penelope, and Mia. Samuel stated, \"((Penelope is a devil if and only if Alexander is a devil) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1894, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 6]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 8]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"<=>\", ... | {"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 9 inhabitants: Aurora, Charlotte, Elizabeth, Lucas, Aiden, Isabella, Matthew, Mia, and Logan. In a statement by Aurora: \"((Isabella is an altruist) or (Charl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1895, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 1], [\"lying\", 6], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 17451} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Scarlett, Ella, David, Chloe, Mia, Emma, Lucas, Aurora, and Grace. According to Scarlett, \"if (if (Ella is a pioneer) then (David is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1896, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 7]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 6], [\"lying\", 6]], [\"<=>\", [\"lying\", 8], [\"telling-... | {"split": "train", "index": 17452} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Luke, Sebastian, Isabella, Penelope, Riley, Elizabeth, Daniel, and Emily. Jackson remarked, \"((if Daniel is a knight then Sebastian is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1897, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"and\", [\"lying\", 6], [\"lying\", 5]]], [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 8]]], [\"... | {"split": "train", "index": 17453} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Alexander, Luke, Matthew, Riley, Scarlett, Charlotte, Jacob, Lucas, and Sebastian. \"(Scarlett is a knight) if and only if (if (Lucas is a knave) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1898, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 8], [... | {"split": "train", "index": 17454} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Mason, Scarlett, Sophia, Liam, Noah, Abigail, Chloe, Penelope, and Elizabeth. Mason said, \"Abigail is an angel.\" \"Mason is a devil,\" Scarlett decla... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1899, \"statements\": [[\"telling-truth\", 5], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]]], [\"->\"... | {"split": "train", "index": 17455} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: James, Mason, Liam, Jacob, Jackson, Jack, Aria, William, and Lucas. James was heard saying, \"it is not the case that (it is not the case that (if Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1900, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5]]]], [\"or\", [\"lying\", 5]... | {"split": "train", "index": 17456} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ethan, Owen, James, Riley, Abigail, Ella, Charlotte, Penelope, and Olivia. As Ethan put it, \"(Ella is a hero) and Abigail is a hero\". Owen asserted... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1901, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 4], [\"lying\", 5]], [\"... | {"split": "train", "index": 17457} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Chloe, Aurora, Jack, Victoria, Ethan, David, Alexander, Henry, and Noah. Chloe stated, \"(Ethan is an egoist and (if Ethan is an altruist then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1902, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"... | {"split": "train", "index": 17458} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Zoey, Abigail, Lucas, William, Liam, David, Emma, Emily, and Aurora. In a statement by Zoey: \"((William is a devil if and only if Emma is a devil) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1903, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"telling-truth\", 7], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]]... | {"split": "train", "index": 17459} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Henry, Ava, James, Sophia, Benjamin, Penelope, Samuel, Daniel, and Mia. Henry said that ((Mia is a sage) and James is a fool and (Sophia is a sage and Jame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1904, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 8]], [\"lying\", 2], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 17460} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Liam, Abigail, Aurora, Oliver, James, William, Grace, Victoria, and Jack. Liam said that it is not the case that ((James is a hero if and only if Gra... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1905, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"and\", [\"lying\", 5], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]]]], [\"or\", [\"not\", [\... | {"split": "train", "index": 17461} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Riley, Elizabeth, Harper, Olivia, Oliver, Avery, Michael, Matthew, and Abigail. Riley asserted: \"if Oliver is a laggard then ((Elizabeth is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1906, \"statements\": [[\"->\", [\"lying\", 4], [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"not\", [\"telling-t... | {"split": "train", "index": 17462} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Elizabeth, Ava, Ella, Luke, Sofia, Olivia, William, Riley, and Scarlett. \"Olivia is a pioneer\" - Elizabeth. \"it is not the case that (Willia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1907, \"statements\": [[\"not\", [\"lying\", 5]], [\"not\", [\"<=>\", [\"lying\", 6], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 0]], [\"->\", [... | {"split": "train", "index": 17463} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Joseph, Elizabeth, Amelia, Jack, Penelope, Grace, Logan, Alexander, and Jacob. Joseph remarked, \"it is not the case that (if (Logan is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1908, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 6], [\"lying\", 2], [\"lying\", 7]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 17464} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sophia, Avery, Benjamin, Mason, Scarlett, Jackson, Oliver, Ella, and Mia. In Sophia's words: \"Jackson is a fool\". Avery noted, \"(it is not the case that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1909, \"statements\": [[\"lying\", 5], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"or\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 6], [\"lying\", 4]], [... | {"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 9 inhabitants: Avery, Jack, Jacob, Daniel, Victoria, Owen, Luke, Joseph, and Sophia. Avery expressed that it is not the case that (it is not the case that (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1910, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"->\", [\"lying\", 0], [\"telling-truth\", 6]], [\"lying\", 3], [\"->\", [\"and\", [\"telling-truth\", 8], [\"and\", [\"lying\", ... | {"split": "train", "index": 17466} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ella, Ethan, Victoria, Noah, Zoey, Logan, Scarlett, Amelia, and Sophia. \"(it is not the case that (Zoey is a knave or Scarlett is a knave or Sophia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1911, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 6], [\"telling-truth\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 5]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->... | {"split": "train", "index": 17467} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: David, Abigail, Amelia, Oliver, Sophia, Michael, Charlotte, Ella, and Grace. David said, \"Grace is a sage.\" Abigail asserted: \"if ((Michael is a sage an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1912, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6], [\"telling-truth\", 7]], [\"or\", [\"lying\", 2], [\"lying\", 5]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"lyin... | {"split": "train", "index": 17468} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emily, Noah, Daniel, Sebastian, Ava, Michael, Riley, Ella, and Sophia. \"Michael is a knave,\" Emily mentioned. In Noah's words: \"Ava is a knight\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1913, \"statements\": [[\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 4], [\"<=>\", [\"lying\", 3], [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 7]], [\"not\", [\"lying\", 7]]]], [\"or\", [\"telling-truth\", 4... | {"split": "train", "index": 17469} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Zoey, Lily, Michael, David, Logan, Matthew, Amelia, James, and Victoria. \"Matthew is a devil,\" Zoey claimed. Lily noted, \"Zoey is a devil\". \"it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1914, \"statements\": [[\"not\", [\"telling-truth\", 5]], [\"lying\", 0], [\"not\", [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 8], [\"telling-truth\", 5]], [\"or\", [\"lying\", 0], [\"lying\", 6], [\"telling-truth\", 4]]]]... | {"split": "train", "index": 17470} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Owen, William, Liam, James, Benjamin, Avery, Henry, Ava, and Elizabeth. \"((Henry is an egoist and Avery is an altruist and Ava is an egoist) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1915, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 5], [\"lying\", 7]], [\"->\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]], [\"no... | {"split": "train", "index": 17471} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Charlotte, Samuel, Elizabeth, David, Jacob, Victoria, Jackson, Chloe, and Lily. Charlotte commented, \"((Samuel is a sage if and only if Elizabeth is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1916, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"lying\", 7], [\"->\", [\"lying\", 7], [\"telling-truth\", 4]]]], [\"->\", [\... | {"split": "train", "index": 17472} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Elizabeth, Scarlett, Jacob, Chloe, Harper, Ethan, Emma, Matthew, and Lucas. Elizabeth said that it is not the case that ((Elizabeth is an angel if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1917, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 7]], [\"->\", [\"lying\", 6], [\"telling-truth\", 7]]]], [\"lyi... | {"split": "train", "index": 17473} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Oliver, Penelope, Daniel, Aiden, Lily, Aria, Emma, Ava, and James. Oliver expressed that it is not the case that (if Ava is a pioneer then (Ava... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1918, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 7], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]]], [\"and\", [\"telling-truth\", 3], [\"lying\", 5], [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 2]... | {"split": "train", "index": 17474} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ava, Daniel, Noah, Sophia, Riley, William, Alexander, Amelia, and Charlotte. Ava was heard saying, \"((Noah is a laggard) if and only if (Ameli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1919, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 17475} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Evelyn, Sofia, Jackson, Isabella, Jack, Mason, Lily, Liam, and Henry. According to Evelyn, \"((if Lily is a villain then Liam is a villain) and (Maso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1920, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 6], [\"lying\", 7]], [\"and\", [\"lying\", 5], [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 8], [\"lying\", 5]]]], [\"->\", [\... | {"split": "train", "index": 17476} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Liam, Jack, Henry, Matthew, Ella, Oliver, Benjamin, Michael, and Abigail. Liam was heard saying, \"if ((if Benjamin is a knight then Oliver is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1921, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [\"not\", [\"lying\", 7]], [\"lying\", 6]], [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 4]]]], [\"<=>\", [\"and\", [\"<=>\... | {"split": "train", "index": 17477} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jacob, Lily, Jack, Ella, Harper, Lucas, David, Victoria, and Michael. Jacob said that (it is not the case that (Lucas is a laggard)) and ((Mich... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1922, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 5], [\"telling-truth\", 7]]]], [\"telling-truth\", 6], [\"lying\", 1], [\"and\", [\"->\",... | {"split": "train", "index": 17478} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: James, Aurora, Aiden, Sebastian, Charlotte, Emma, Penelope, Samuel, and Lily. \"if ((Penelope is a devil) or (if Aiden is an angel then Sebastian is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1923, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0], [\"telli... | {"split": "train", "index": 17479} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Owen, Matthew, Scarlett, Michael, Amelia, Jacob, Sofia, Aria, and Logan. Owen asserted: \"Amelia is a laggard\". Matthew noted, \"((if Aria is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1924, \"statements\": [[\"lying\", 4], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 8]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]], [\"->... | {"split": "train", "index": 17480} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Oliver, Noah, Benjamin, Michael, Aurora, Chloe, Luke, Jackson, and Sebastian. Oliver asserted: \"Sebastian is an egoist\". In Noah's words: \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1925, \"statements\": [[\"lying\", 8], [\"->\", [\"telling-truth\", 0], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 7], [\"not\", [\"lying\", 3]]]], [\"<=>\", [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", ... | {"split": "train", "index": 17481} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jack, Zoey, Elizabeth, Charlotte, Jackson, David, Ethan, Aria, and Liam. \"if ((if Jackson is a laggard then Ethan is a pioneer) and (Liam is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1926, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 6]], [\"and\", [\"lying\", 8], [\"lying\", 7]]], [\"lying\", 8]], [\"or\", [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5], [\"lyi... | {"split": "train", "index": 17482} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Aria, Riley, Ethan, Mia, Owen, Abigail, Benjamin, James, and Emily. Aria commented, \"((Mia is a hero or Benjamin is a villain or Ethan is a villain)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1927, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 6], [\"lying\", 2]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"lying\", 5]]], [\"not\", [\"->\", [\"lying\", 2], [\"telli... | {"split": "train", "index": 17483} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Harper, Alexander, Penelope, Sofia, Ava, Grace, James, Oliver, and Charlotte. Harper was heard saying, \"Penelope is a saint\". Alexander said, \"Har... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1928, \"statements\": [[\"telling-truth\", 2], [\"lying\", 0], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"... | {"split": "train", "index": 17484} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Mason, William, Liam, Alexander, Charlotte, Matthew, Harper, Owen, and Aurora. Mason said, \"it is not the case that (if (if Harper is a sinner then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1929, \"statements\": [[\"not\", [\"->\", [\"->\", [\"lying\", 6], [\"lying\", 7]], [\"not\", [\"telling-truth\", 6]]]], [\"not\", [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 6], [\"lying\", 2]], [\"lying\", 7]]], [\"->\", [... | {"split": "train", "index": 17485} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Noah, Penelope, Matthew, Sofia, Riley, Samuel, David, Victoria, and Aiden. \"if ((Samuel is a knave) or (Penelope is a knight)) then (David is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1930, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"lying\", 1]]], [\"or\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"lying\", 3], [\"lying\", 5], [\"->\", [\"telling-truth\", 4], [\"and... | {"split": "train", "index": 17486} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Joseph, Abigail, Owen, Penelope, Riley, Noah, William, Lily, and Ethan. Joseph expressed that (it is not the case that (Ethan is a pioneer and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1931, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"and\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 2], [\"lying\", 5], [\"lying\", 7]], [\"or\", [\"lying\", 6], [\"te... | {"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 9 inhabitants: Oliver, Sophia, Penelope, Evelyn, Luke, Ella, Sebastian, Ethan, and Aurora. Oliver asserted: \"(if (if Luke is a villain then Penelope is a villain) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1932, \"statements\": [[\"or\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 7]], [\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0]]]], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [... | {"split": "train", "index": 17488} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Evelyn, Noah, Olivia, Lucas, Oliver, Grace, Zoey, Aurora, and Joseph. Evelyn stated, \"((Aurora is a laggard if and only if Olivia is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1933, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 2]], [\"or\", [\"lying\", 7], [\"lying\", 8]]], [\"and\", [\"lying\", 6], [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"lying\", 8], [\"lyi... | {"split": "train", "index": 17489} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Logan, Lucas, Noah, Aurora, Alexander, Scarlett, Victoria, Mason, and Riley. Logan said that ((if Riley is a sage then Victoria is a sage) if and only if A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1934, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"telling-truth\", 4]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 8]], [\"or\", [\"lying\", 6], [\"tellin... | {"split": "train", "index": 17490} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Oliver, Sophia, Noah, Isabella, Penelope, Aiden, Olivia, Mason, and Matthew. \"if (if (Noah is a knave) then (Noah is a knight)) then (if (Penelope i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1935, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 8]]]], [\"not\", [\"or\", [\"not\", [\"te... | {"split": "train", "index": 17491} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Abigail, Emma, Charlotte, Sofia, Matthew, Zoey, Mason, and Joseph. In Jackson's words: \"((if Zoey is a knave then Mason is a knight) and (M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1936, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 6], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 7], [\"lying\", 6], [\"telling-truth\", 2]]], [\"lying\", 3]], [\"lying\", 2], [\"<=>\", [\"not\", [\"an... | {"split": "train", "index": 17492} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Scarlett, Abigail, Joseph, Aiden, Aria, Daniel, Noah, Lily, and David. Scarlett expressed that if (if (if Lily is a knight then Noah is a knave) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1937, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 6]], [\"not\", [\"lying\", 6]]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 8]], [\"not\", [\"telling-truth\", 7]]]], [\"and\", [\"->\",... | {"split": "train", "index": 17493} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Joseph, Victoria, William, Luke, Lily, Aria, Evelyn, Samuel, and Penelope. Joseph remarked, \"((Penelope is a knave) or Lily is a knave) and (it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1938, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 8]], [\"lying\", 4]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"lying\", 2], [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 3], [\"not\", [\"and\"... | {"split": "train", "index": 17494} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aurora, Jacob, Ella, Emily, Liam, Olivia, Benjamin, Sofia, and Sophia. Aurora told you that it is not the case that ((if Emily is a fool then Liam is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1939, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\... | {"split": "train", "index": 17495} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Charlotte, Jacob, Evelyn, Matthew, William, Jackson, Alexander, Emma, and Henry. Charlotte was heard saying, \"Jackson is a laggard\". Jacob ex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1940, \"statements\": [[\"lying\", 5], [\"or\", [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"<=>\"... | {"split": "train", "index": 17496} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Evelyn, Sofia, Daniel, Alexander, Luke, Samuel, Grace, Emma, and Ethan. \"it is not the case that ((Ethan is a fool and Luke is a sage) if and only if (Dan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1941, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"and\", [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 7]]],... | {"split": "train", "index": 17497} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Abigail, Amelia, Aurora, Jack, Lucas, Daniel, Grace, Jackson, and Michael. Abigail said, \"((if Jackson is a hero then Michael is a villain) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1942, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 8]], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 8]], [\"and\", [\"telling-truth\", 8], [\"telling-... | {"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 9 inhabitants: Ella, Riley, Daniel, Ethan, Michael, Logan, Harper, Avery, and Aurora. According to Ella, \"(if (if Riley is an egoist then Avery is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1943, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 7]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-tr... | {"split": "train", "index": 17499} |
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