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 knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Scarlett, Avery, Joseph, Penelope, Ethan, Samuel, Alexander, Isabella, and Luke. Scarlett said that ((if Avery is a knight then Avery is a knave) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1822, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 7]], [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 5]]]], [\"not\", [\"not\", [\"->\", [\"lying\", 0], [... | {"split": "train", "index": 19600} |
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, David, Aria, Zoey, Grace, Henry, Charlotte, Owen, and Samuel. \"Grace is a devil,\" Elizabeth declared. As David put it, \"Zoey is an angel\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1823, \"statements\": [[\"lying\", 4], [\"telling-truth\", 3], [\"not\", [\"lying\", 7]], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"or\"... | {"split": "train", "index": 19601} |
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: Sofia, Owen, Noah, Olivia, Zoey, Chloe, Evelyn, Benjamin, and Aiden. \"it is not the case that (if (Noah is a knight) then (Noah is a knave or Noah i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1824, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"and\", [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 8]], ... | {"split": "train", "index": 19602} |
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, Aria, Owen, Lucas, Lily, Emma, Benjamin, William, and Scarlett. Oliver said, \"((if Aria is an egoist then Scarlett is an altruist) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1825, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"->\", [\"<=>... | {"split": "train", "index": 19603} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Alexander, Lucas, Aiden, Penelope, Jack, Isabella, Victoria, Sofia, and Owen. \"it is not the case that ((Isabella is a devil if and only if Jack is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1826, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 7]]]], [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"->\", [\"lying\", 7], [\"lying\", 6]], [\"... | {"split": "train", "index": 19604} |
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: Penelope, Matthew, Isabella, Zoey, Luke, Scarlett, Samuel, Aurora, and Emily. Penelope asserted: \"Isabella is a sage\". \"(Zoey is a fool and (if Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1827, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"and\", [\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 7]]], [\"lying\", 6], [\"<=>\", [\"->\", [\"... | {"split": "train", "index": 19605} |
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: Matthew, Ethan, Jacob, Zoey, Evelyn, Ella, Jackson, Samuel, and Luke. In a statement by Matthew: \"if (it is not the case that (if Ella is a sage then Evel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1828, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"telling-truth\", 3], [\... | {"split": "train", "index": 19606} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: James, Charlotte, Joseph, Jack, Logan, Isabella, Michael, Aiden, and Matthew. \"(if Charlotte is a sage then (Charlotte is a fool and Isabella is a fool)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1829, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"and\", [\"lying\", 1], [\"lying\", 5]]], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 1], [\"lying\", 4], [\"lying\", 5]]], [\"telling-truth\", 0], [\"<=>\... | {"split": "train", "index": 19607} |
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: Charlotte, Olivia, Michael, Grace, Scarlett, Noah, James, Chloe, and Samuel. According to Charlotte, \"if ((if Olivia is a devil then Samuel is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1830, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 8]], [\"or\", [\"lying\", 8], [\"telling-truth\", 0], [\"telling-truth\", 8], [\"lying\", 7]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth... | {"split": "train", "index": 19608} |
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, Emily, William, Noah, Alexander, Benjamin, Joseph, Ava, and Aria. In a statement by Victoria: \"((Benjamin is a laggard) and (Ava is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1831, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3], [\"lying\", 4]], [\"lying\", 7]]], [\"-... | {"split": "train", "index": 19609} |
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: Lily, Samuel, Avery, Logan, Abigail, Penelope, Evelyn, Sophia, and Aria. Lily was heard saying, \"it is not the case that (it is not the case that (Eve... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1832, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6]]]], [\"<=>\", [\"->\", [\"lying\", 8], [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 6]], [\"or\"... | {"split": "train", "index": 19610} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jackson, William, Victoria, Logan, Aria, Daniel, Isabella, Ella, and Samuel. Jackson expressed that it is not the case that (it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1833, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 8]]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]], [\"->\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"<=>\"... | {"split": "train", "index": 19611} |
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, Sebastian, Lucas, Zoey, Lily, Alexander, Ethan, Michael, and Mason. In a statement by Avery: \"Ethan is an egoist\". \"(if (Lucas is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1834, \"statements\": [[\"lying\", 6], [\"or\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 5]]], [\"not\", [\"->\", [\"telli... | {"split": "train", "index": 19612} |
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: Emma, William, Mia, Aiden, David, Aria, Matthew, Luke, and Harper. \"Matthew is a laggard\" - Emma. William stated, \"Harper is a laggard\". Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1835, \"statements\": [[\"lying\", 6], [\"not\", [\"telling-truth\", 8]], [\"->\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 6]], [\"lying\", 7]], [\"and\", [\"->\", [\"lying\", 7], [\"lying\", ... | {"split": "train", "index": 19613} |
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: Victoria, Jacob, Olivia, Emma, Mia, Lucas, Charlotte, Mason, and Abigail. \"((Lucas is a hero or Emma is a villain or Olivia is a villain) and (if Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1836, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 5]]], [\"lying\", 3]], [\"->\... | {"split": "train", "index": 19614} |
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: David, Daniel, Michael, Evelyn, James, Jacob, Aiden, Benjamin, and Zoey. David said that ((James is a hero) and (Daniel is a villain) and (Daniel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1837, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"an... | {"split": "train", "index": 19615} |
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, Chloe, Sebastian, Amelia, Emma, Samuel, Henry, Zoey, and Jacob. According to Scarlett, \"Samuel is a laggard or Zoey is a laggard\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1838, \"statements\": [[\"or\", [\"lying\", 5], [\"lying\", 7]], [\"or\", [\"telling-truth\", 5], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"... | {"split": "train", "index": 19616} |
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: Ella, Michael, James, Isabella, Sebastian, David, Avery, Aiden, and Elizabeth. Ella asserted: \"it is not the case that ((James is a laggard an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1839, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"not\... | {"split": "train", "index": 19617} |
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: Penelope, Olivia, Aiden, Matthew, William, Daniel, Amelia, Evelyn, and Jack. According to Penelope, \"Evelyn is a laggard\". Olivia remarked, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1840, \"statements\": [[\"lying\", 7], [\"telling-truth\", 4], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 0], [\"and\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"<... | {"split": "train", "index": 19618} |
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: Harper, Mason, Isabella, Joseph, Jack, Victoria, Oliver, Ava, and Jacob. \"Jacob is a devil,\" Harper declared. \"(if (Jack is a devil if and only if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1841, \"statements\": [[\"lying\", 8], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 2]], [\"n... | {"split": "train", "index": 19619} |
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: Alexander, Sofia, Oliver, Avery, Amelia, Owen, Aiden, Zoey, and James. Alexander expressed that (it is not the case that (Oliver is a hero if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1842, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"telling-tr... | {"split": "train", "index": 19620} |
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: Zoey, Benjamin, Sebastian, Lily, Mason, Aurora, Jack, Evelyn, and William. Zoey said, \"(if (Sebastian is a hero and William is a villain and William... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1843, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 8], [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 2]... | {"split": "train", "index": 19621} |
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: Penelope, Abigail, Michael, Jackson, Evelyn, Jack, Scarlett, Lucas, and Aiden. Penelope said, \"Jackson is a knight.\" Abigail stated, \"((Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1844, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"<=>\", [\"not\", [\"lying\", 6]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 6]], [\"telling-truth\", 6... | {"split": "train", "index": 19622} |
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, Sofia, Victoria, Owen, Henry, Zoey, Harper, Sophia, and Olivia. Emma was heard saying, \"if (if (if Victoria is a hero then Zoey is a hero) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1845, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"lying\", 8], [\"lying\", 3]], [\"and\", [\"l... | {"split": "train", "index": 19623} |
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, Zoey, Daniel, Riley, Alexander, Logan, Oliver, Aiden, and Isabella. Abigail was heard saying, \"((Aiden is a villain and Abigail is a hero a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1846, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-tru... | {"split": "train", "index": 19624} |
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, Isabella, Ella, Mason, Emma, Henry, Matthew, Oliver, and Alexander. In Chloe's words: \"it is not the case that (if (Alexander is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1847, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"lying\", 4], [\"telling-truth\", 5]]]], [\"or\", [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 19625} |
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, Logan, Aurora, Luke, Matthew, Isabella, Grace, Emily, and Avery. Harper said, \"Logan is a saint if and only if Isabella is a sinner.\" Accor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1848, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]], [\"lying\", 2], [\"->\", [\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 8]], [\"lying\", 6]], [\"lying\", 3]], [\"and\", [\"or\", [\"<=>\", [\"t... | {"split": "train", "index": 19626} |
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: Zoey, Olivia, Jackson, Elizabeth, Michael, Chloe, Sofia, Evelyn, and Aurora. Zoey expressed that if (Olivia is a laggard or (if Chloe is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1849, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"->\", [\"lying\", 5], [\"lying\", 6]], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 8], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]]]], [\"or\", [\"->\", [\"->... | {"split": "train", "index": 19627} |
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: Sebastian, Lily, Riley, Daniel, Jacob, Michael, Amelia, Abigail, and Emily. Sebastian told you that Michael is a villain or Abigail is a hero or (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1850, \"statements\": [[\"or\", [\"lying\", 5], [\"telling-truth\", 7], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"telling-truth\", 2]]], [\"lying\", 3], [\"and\", [\"<=>\", [\"->\",... | {"split": "train", "index": 19628} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Owen, Sebastian, Aurora, Aiden, Olivia, Mason, Sofia, Mia, and Harper. Owen noted, \"(Mason is a fool if and only if (Olivia is a sage and Mia is a sage an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1851, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 5], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"lying\", 4], [\"lying\", 6]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]], [\"->\", [\"tell... | {"split": "train", "index": 19629} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Joseph, Sofia, Jacob, Abigail, Samuel, James, Noah, Aria, and Lucas. Joseph said that Aria is a saint. Sofia asserted: \"(it is not the case that (Ar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1852, \"statements\": [[\"telling-truth\", 7], [\"and\", [\"not\", [\"not\", [\"lying\", 7]]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 8]], [... | {"split": "train", "index": 19630} |
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, Riley, Emma, Luke, Victoria, Henry, Daniel, Owen, and Ava. Penelope remarked, \"Owen is an altruist\". In a statement by Riley: \"if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1853, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"telling-truth\", 6], [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0], [\"lying\", 7], [\"lying\", ... | {"split": "train", "index": 19631} |
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: Zoey, Mason, Avery, Scarlett, Mia, Sofia, Lily, Emma, and Emily. Zoey said that Mason is a sinner if and only if (if Zoey is a saint then (Mia is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1854, \"statements\": [[\"<=>\", [\"lying\", 1], [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 8]]]], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\... | {"split": "train", "index": 19632} |
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: Aiden, Daniel, Aria, Scarlett, Michael, Elizabeth, David, Isabella, and Avery. Aiden asserted: \"(it is not the case that (if Michael is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1855, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 5], [\"telling-tru... | {"split": "train", "index": 19633} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jackson, Elizabeth, Emily, David, Penelope, Sofia, Mia, Ethan, and Daniel. Jackson remarked, \"(Daniel is a sinner if and only if Elizabeth is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1856, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 1]], [\"and\", [\"telling-truth\", 7], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]], [\"lying\", 5], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]]]... | {"split": "train", "index": 19634} |
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: Avery, Benjamin, Amelia, Emily, Michael, Riley, Lily, Mason, and Aiden. Avery commented, \"(it is not the case that (if Mason is a saint then Benjami... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1857, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 7], [\"telling-truth\", 1], [\"lying\", 8]], [\"->\", [\"telling-trut... | {"split": "train", "index": 19635} |
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: Zoey, Aria, Emma, Lily, Logan, Sebastian, James, Sofia, and Ava. Zoey said that Sofia is a sinner if and only if (it is not the case that (Aria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1858, \"statements\": [[\"<=>\", [\"lying\", 7], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 5]]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"<=>\", [\"lying\", 8], [\"lying\", 4]]], ... | {"split": "train", "index": 19636} |
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, Daniel, Alexander, Samuel, Elizabeth, Abigail, Mason, Scarlett, and Jackson. According to Henry, \"if ((Scarlett is a sage or Jackson is a fool) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1859, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 8]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"tellin... | {"split": "train", "index": 19637} |
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: Mason, Penelope, David, Grace, Sofia, Evelyn, Owen, Charlotte, and Avery. As Mason put it, \"((Charlotte is an egoist) if and only if Avery is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1860, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 8]], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 7]]], [\"->\", [\"not\", [\"telli... | {"split": "train", "index": 19638} |
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, Ella, Harper, Penelope, Chloe, Liam, Logan, Aria, and Grace. Emma noted, \"(if (Grace is a hero) then (if Liam is a hero then Logan is a hero))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1861, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 8]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 4]... | {"split": "train", "index": 19639} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Zoey, Emily, Charlotte, Isabella, James, Sebastian, Samuel, Grace, and Sofia. Zoey expressed that Sofia is a knave or ((Sebastian is a knight if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1862, \"statements\": [[\"or\", [\"lying\", 8], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"and\", [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", ... | {"split": "train", "index": 19640} |
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: Mia, Jacob, Zoey, Matthew, Noah, Abigail, Grace, Sebastian, and Samuel. Mia said that ((Zoey is a fool) or (Noah is a sage)) and ((Noah is a sage) and (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1863, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 8]], [\"and\", [\"lying\", 4], [\"telli... | {"split": "train", "index": 19641} |
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: Harper, Liam, Lucas, Ella, Olivia, William, Isabella, Emily, and James. Harper noted, \"Isabella is a laggard\". In Liam's words: \"((James is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1864, \"statements\": [[\"lying\", 6], [\"and\", [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 6]], [\"or\", [\"lying\", 6], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"or\", [\"lying\", 5... | {"split": "train", "index": 19642} |
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: Alexander, Jackson, Abigail, Noah, Emily, Lily, Benjamin, Aria, and Logan. Alexander told you that ((if Emily is a pioneer then Logan is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1865, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"telling-truth\", 6]], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 3]], [\"not\", [\"lying\", 8]]], [\"not\", [\... | {"split": "train", "index": 19643} |
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: Aurora, William, Daniel, Ava, Aiden, Penelope, Jacob, Michael, and Elizabeth. Aurora remarked, \"Jacob is a knave or Jacob is a knight\". William ass... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1866, \"statements\": [[\"or\", [\"lying\", 6], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 8], [\"or\", [\"lying\", 3], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 7], [\"t... | {"split": "train", "index": 19644} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Henry, Olivia, Daniel, Ella, Noah, Charlotte, Michael, Aurora, and Lucas. Henry told you that Olivia is a devil. Olivia said, \"(Henry is an angel and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1867, \"statements\": [[\"lying\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"or\", [\"lying\", 6], [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"<=>\", [\"... | {"split": "train", "index": 19645} |
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: Logan, Luke, Sebastian, Jack, Michael, Evelyn, Riley, Lucas, and Mia. Logan told you that Riley is a devil or (Luke is an angel if and only if (Evelyn ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1868, \"statements\": [[\"or\", [\"lying\", 6], [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"lying\", 5], [\"telling-truth\", 0], [\"telling-truth\", 6], [\"lying\", 8]]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"->\",... | {"split": "train", "index": 19646} |
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: Matthew, Scarlett, Daniel, David, Emily, Aria, Liam, Lucas, and Benjamin. In Matthew's words: \"Scarlett is a villain\". Scarlett asserted: \"((if Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1869, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 6]]]], [\"and\", [\"->\", [\"<=>\"... | {"split": "train", "index": 19647} |
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, Jacob, Elizabeth, Luke, Noah, Zoey, Samuel, Emma, and Jack. Joseph told you that (it is not the case that (if Emma is a laggard then Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1870, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 8], [\"lying\", 7]], [\"telling-truth\", 1]]], [\"telling-truth\", 5], [\"and... | {"split": "train", "index": 19648} |
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: Ava, Lucas, Avery, Zoey, Liam, Jack, Amelia, Sophia, and William. Ava commented, \"it is not the case that ((if Lucas is a fool then Amelia is a fool) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1871, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 6]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"<=>\", [\"not\", [\... | {"split": "train", "index": 19649} |
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: Sophia, David, Emma, Olivia, Benjamin, Luke, Liam, Mason, and Logan. \"(if (Emma is a pioneer) then (if Luke is a pioneer then David is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1872, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4], [\"lying\", 8], [\"telling-truth\", 8]], [\"<=>\"... | {"split": "train", "index": 19650} |
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: Zoey, David, Isabella, Emma, Evelyn, Sofia, Aurora, Noah, and Alexander. \"it is not the case that (David is a villain if and only if (Alexander is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1873, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"<=>\", [\"lying\", 8], [\"lying\", 7]]]], [\"and\", [\"not\", [\"->\", [\"lying\", 8], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 19651} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ava, Avery, Lucas, William, Charlotte, Amelia, Sebastian, Chloe, and David. Ava stated, \"(if (Amelia is an egoist if and only if Chloe is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1874, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]], [\"->\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"lying\", ... | {"split": "train", "index": 19652} |
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: Scarlett, Henry, Daniel, Alexander, Noah, Charlotte, Sofia, Elizabeth, and Samuel. \"((if Alexander is a devil then Scarlett is an angel) or (Samuel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1875, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"lying\", 8], [\"or\", [\"lying\", 7], [\"telling-truth\", 2]]]], [\"or\", [\"not\", [\"and\", ... | {"split": "train", "index": 19653} |
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, Mason, Zoey, Riley, Jackson, Emily, Henry, Alexander, and Evelyn. Avery was heard saying, \"Mason is an egoist or (it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1876, \"statements\": [[\"or\", [\"lying\", 1], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 6], [\"lying\", 5], [\"telling-truth\", 6]]]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"or\", [\"telli... | {"split": "train", "index": 19654} |
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: Emma, Grace, Sophia, Aiden, Ava, Oliver, Mason, Joseph, and Zoey. Emma commented, \"it is not the case that ((if Mason is a pioneer then Oliver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1877, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 6], [\"lying\", 7]], [\"not\", [\"telling-truth\", 2]]]], [\"not\", [\"<=>\", [\"and\", [\"telli... | {"split": "train", "index": 19655} |
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: Luke, Daniel, Sophia, Victoria, Olivia, Aiden, Scarlett, Avery, and Elizabeth. As Luke put it, \"(if (Scarlett is an angel and Scarlett is a devil and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1878, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6], [\"lying\", 2], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"or\", [\"lying\", 4], [\"lyin... | {"split": "train", "index": 19656} |
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, Emma, Luke, Liam, Isabella, Penelope, Sophia, Jacob, and Sofia. \"it is not the case that ((Sophia is an altruist) if and only if (if Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1879, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]]]], [\"or\", [\"not\", [\"and\", [\"lying\", 5], [\"lying\", 2], [\"telling-truth\", 1], [\"lying\",... | {"split": "train", "index": 19657} |
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: Penelope, Aria, Alexander, Oliver, James, Henry, Ethan, Emma, and Aurora. Penelope remarked, \"(if (James is a hero if and only if Alexander is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1880, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", ... | {"split": "train", "index": 19658} |
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: Mia, Oliver, Penelope, Victoria, Scarlett, Noah, Sophia, Aurora, and Michael. Mia remarked, \"Aurora is an egoist or ((Noah is an altruist and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1881, \"statements\": [[\"or\", [\"lying\", 7], [\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 19659} |
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: Mason, David, Jacob, Elizabeth, Mia, Isabella, Oliver, Charlotte, and Matthew. Mason told you that it is not the case that ((Mason is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1882, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 19660} |
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: Sofia, Lucas, Samuel, William, Sophia, Ava, Evelyn, Mia, and Mason. Sofia expressed that if (Evelyn is a pioneer and (Lucas is a laggard and Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1883, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 6], [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 7], [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 8]]], [\"not\", [\"->\", [\"lying\", 5]... | {"split": "train", "index": 19661} |
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: Victoria, Charlotte, Emma, Michael, Elizabeth, James, Joseph, Harper, and Lily. According to Victoria, \"Emma is a sage\". Charlotte told you that (if (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1884, \"statements\": [[\"not\", [\"lying\", 2]], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 6]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 8]]], [\"not\", [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 19662} |
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: Isabella, Ella, Owen, Charlotte, Victoria, Noah, Emily, Samuel, and Avery. \"((Charlotte is an egoist if and only if Isabella is an altruist) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1885, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 3], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"lying\", 8], [\"tel... | {"split": "train", "index": 19663} |
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: Avery, Aurora, Owen, Abigail, William, Riley, Liam, Grace, and Jackson. In Avery's words: \"Liam is a devil\". \"if (if (Abigail is an angel and Willia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1886, \"statements\": [[\"lying\", 6], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 7], [\"lying\", 8]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"tel... | {"split": "train", "index": 19664} |
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: Alexander, Lily, Aiden, Penelope, Olivia, William, Evelyn, Lucas, and Emma. In Alexander's words: \"(if (Emma is a sage and Penelope is a fool and Evelyn i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1887, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 3], [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"->\", [\"not\", [\"telling-trut... | {"split": "train", "index": 19665} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Amelia, Liam, Daniel, James, Riley, Joseph, Luke, Ava, and Avery. As Amelia put it, \"((Luke is a hero or Ava is a hero or James is a villain) or Jam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1888, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7], [\"lying\", 3]], [\"lying\", 3], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"<=>\", [\"and\", [\"telling-truth\", 3],... | {"split": "train", "index": 19666} |
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: Jack, Samuel, Olivia, Mia, Sophia, Benjamin, Logan, Matthew, and Michael. Jack commented, \"Matthew is a sage\". \"if ((Logan is a sage) and Jack is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1889, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"and\", [\"not\", [\"lying\", 6]], [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6], [\"telling-truth\", 7], [\"lying\", 6]], [\"->\", [... | {"split": "train", "index": 19667} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sophia, Lily, Olivia, Owen, Noah, Amelia, William, Liam, and Sofia. \"William is a sinner,\" Sophia mentioned. Lily expressed that ((Sofia is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1890, \"statements\": [[\"lying\", 6], [\"<=>\", [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8]], [\"not\", [\"lying\", 6]]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 3], [\"tellin... | {"split": "train", "index": 19668} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Henry, Mason, Isabella, Aiden, Abigail, Daniel, Samuel, Ava, and Victoria. Henry asserted: \"Mason is a devil\". Mason noted, \"Abigail is a devil if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1891, \"statements\": [[\"lying\", 1], [\"<=>\", [\"lying\", 4], [\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 6], [\"lying\", 8]]]], [\"or\", [\"or\", [\"and\", [\"lying\", 7], [\"t... | {"split": "train", "index": 19669} |
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: Sophia, Jacob, Abigail, Victoria, Aria, Zoey, Oliver, Luke, and Elizabeth. \"if ((Oliver is a pioneer or Zoey is a pioneer or Victoria is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1892, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"lying\", 3]], [\"->\", [\"lying\", 8], [\"lying\", 6]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\... | {"split": "train", "index": 19670} |
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: Aria, Mia, Sofia, Riley, James, Jacob, Benjamin, Chloe, and Sebastian. In a statement by Aria: \"Jacob is an altruist if and only if (it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1893, \"statements\": [[\"<=>\", [\"telling-truth\", 5], [\"not\", [\"and\", [\"lying\", 5], [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"telling-truth\", 2], [\"<=>\", [\"or\", [\"lying\", 3], [\"<=>\... | {"split": "train", "index": 19671} |
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: Victoria, Sofia, Daniel, Penelope, Mia, Michael, Aria, Zoey, and Chloe. In a statement by Victoria: \"((Daniel is a villain) or (Penelope is a hero i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1894, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 1], [\"<=... | {"split": "train", "index": 19672} |
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, Abigail, Aria, Michael, Scarlett, James, Henry, Harper, and Sebastian. \"((Aria is an egoist or Scarlett is an altruist or James is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1895, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"or\", [\"lying\", 7], [\"telling-truth\", 6], [\"telling-truth\", 2], [\"lying\", 5]], [\"<=>\", [\"telling... | {"split": "train", "index": 19673} |
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: Sebastian, Aiden, Emily, Mia, Emma, Charlotte, William, Jack, and Harper. Sebastian told you that Emily is a fool and (if Aiden is a fool then (Sebastian i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1896, \"statements\": [[\"and\", [\"lying\", 2], [\"->\", [\"lying\", 1], [\"and\", [\"telling-truth\", 0], [\"lying\", 5], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0], [\"telling-truth\... | {"split": "train", "index": 19674} |
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: Lucas, Scarlett, Avery, Zoey, Logan, James, Aiden, Evelyn, and Isabella. Lucas stated, \"((if Aiden is a sage then Zoey is a sage) or (if Scarlett is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1897, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 7]], [\"and\", [\"lying\", 4], [\"telling-truth\", 7], [\"lying\", 5]], [\"not\",... | {"split": "train", "index": 19675} |
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, Benjamin, Liam, Joseph, Abigail, Mason, Evelyn, Grace, and Emma. Avery remarked, \"((Joseph is a knight and Benjamin is a knight and Abigail i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1898, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 7]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 2], ... | {"split": "train", "index": 19676} |
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, Lily, Ella, Victoria, Harper, Sofia, Aria, Emily, and Amelia. \"(it is not the case that (Harper is a knight or Avery is a knight or Lily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1899, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"tel... | {"split": "train", "index": 19677} |
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: Benjamin, James, Charlotte, Michael, Ella, Lucas, Jack, Aria, and Oliver. \"(if (Michael is a fool if and only if Benjamin is a sage) then (Michael is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1900, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 6], [\"telling-tru... | {"split": "train", "index": 19678} |
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: Emily, Joseph, Abigail, David, Jackson, Riley, Amelia, Mason, and Sofia. In Emily's words: \"Emily is an altruist or (if (Sofia is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1901, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]], [\"telling-truth\", 7]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]... | {"split": "train", "index": 19679} |
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, Emma, Jack, Owen, Elizabeth, Ella, Henry, Emily, and William. Joseph commented, \"Elizabeth is a laggard\". In a statement by Emma: \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1902, \"statements\": [[\"lying\", 4], [\"or\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 7]]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"<=>\", [\"<... | {"split": "train", "index": 19680} |
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: Luke, Jackson, Matthew, Amelia, Sofia, Charlotte, Michael, Elizabeth, and Liam. In a statement by Luke: \"it is not the case that ((Matthew is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1903, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]]]], [\"<=>\", [\"lying\", 0], [\"t... | {"split": "train", "index": 19681} |
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: Aiden, Chloe, Sofia, Elizabeth, Michael, Oliver, Noah, Charlotte, and Mason. Aiden noted, \"Elizabeth is an altruist\". \"((if Noah is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1904, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"lying\", 3]], [\"not\", [\"telling-truth\", 6]]], [\"lying\", 5]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [... | {"split": "train", "index": 19682} |
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: Joseph, James, Aurora, Lily, William, Sofia, Evelyn, Aria, and Matthew. Joseph said, \"(it is not the case that (Matthew is a hero and Sofia is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1905, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5], [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 7], [\"lying\", 2], [\"telling-truth\", 5]], ... | {"split": "train", "index": 19683} |
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: Abigail, Aria, Ethan, Owen, Lucas, Elizabeth, Grace, Isabella, and Oliver. In a statement by Abigail: \"Lucas is a devil and ((Ethan is a devil or Aria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1906, \"statements\": [[\"and\", [\"lying\", 4], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 6]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"telling-truth\", 2], [\"... | {"split": "train", "index": 19684} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Owen, Chloe, Henry, Charlotte, Jack, Matthew, Scarlett, James, and Joseph. As Owen put it, \"Charlotte is a saint\". In a statement by Chloe: \"(Owen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1907, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"and\", [\"lying\", 8], [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 8]]], [\"telling-truth\", 8]], [\"lyin... | {"split": "train", "index": 19685} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ava, Jack, Logan, Scarlett, Avery, Harper, Aiden, Zoey, and Sophia. \"Zoey is a villain or (Avery is a villain or (Zoey is a villain or Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1908, \"statements\": [[\"or\", [\"lying\", 7], [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 7], [\"lying\", 3]], [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 1]], [\"or\", [\"->... | {"split": "train", "index": 19686} |
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, Zoey, Joseph, Henry, Evelyn, Victoria, Emma, Aiden, and Luke. \"Aiden is an egoist,\" Avery declared. Zoey noted, \"(Evelyn is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1909, \"statements\": [[\"not\", [\"telling-truth\", 7]], [\"and\", [\"or\", [\"lying\", 4], [\"->\", [\"lying\", 2], [\"lying\", 5]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"tellin... | {"split": "train", "index": 19687} |
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: Oliver, Luke, Olivia, Harper, Ava, Michael, Mia, Penelope, and Chloe. Oliver asserted: \"Harper is an angel\". \"((Olivia is an angel if and only if Pe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1910, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"lying\", 8], [\"->\", [\"lying\", 0], [\"lying\", 5]], [\"<=>\", [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 19688} |
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, Mason, Amelia, Abigail, Charlotte, Matthew, Samuel, Mia, and Benjamin. Victoria asserted: \"Mia is an egoist\". \"(Amelia is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1911, \"statements\": [[\"lying\", 7], [\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 0... | {"split": "train", "index": 19689} |
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: Avery, Matthew, Benjamin, Evelyn, David, Chloe, Grace, Zoey, and Samuel. According to Avery, \"if (it is not the case that (if Grace is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1912, \"statements\": [[\"->\", [\"not\", [\"->\", [\"lying\", 6], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"<=>\", [\"not\", [\"and\", [\"lying\", 7]... | {"split": "train", "index": 19690} |
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: Sebastian, Lucas, Emma, Abigail, Benjamin, Amelia, Grace, Samuel, and Aiden. Sebastian expressed that Samuel is a devil. According to Lucas, \"it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1913, \"statements\": [[\"lying\", 7], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 7]]], [\"and\", [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 8], [\"... | {"split": "train", "index": 19691} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Grace, Zoey, James, Victoria, Elizabeth, Owen, Oliver, Lily, and Abigail. Grace expressed that (it is not the case that (if Elizabeth is a knave then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1914, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]], [\"or\", [\"lying\", 7], [\"telling-truth\", 1]], [\"or\", [\"telling-tr... | {"split": "train", "index": 19692} |
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, Sophia, Aiden, Aria, Jacob, Elizabeth, Charlotte, Amelia, and David. Matthew remarked, \"((if Jacob is a laggard then Charlotte is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1915, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"... | {"split": "train", "index": 19693} |
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, Emma, Zoey, Michael, Sofia, Charlotte, Liam, Ethan, and Elizabeth. According to Harper, \"if (Ethan is a saint if and only if (if Emma is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1916, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 7], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 5], [\"tell... | {"split": "train", "index": 19694} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Emily, Mason, Zoey, Abigail, Elizabeth, Lily, Olivia, William, and Harper. In Emily's words: \"((William is an angel and Elizabeth is an angel and Harp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1917, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4], [\"lying\", 8]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lyi... | {"split": "train", "index": 19695} |
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, Sofia, Amelia, Zoey, Mia, Jacob, Ava, Victoria, and Samuel. \"Joseph is an angel and Samuel is a devil and Amelia is an angel and ((Mia is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1918, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"lying\", 8], [\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"not\"... | {"split": "train", "index": 19696} |
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, Ava, Daniel, Ethan, Samuel, Henry, Jackson, Penelope, and Liam. Joseph said, \"(if (Ava is a pioneer or Penelope is a laggard) then (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1919, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 7]], [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"not\", [\"or\", [\"lying\", 5], [\"lying\", 7], [\"telling-truth\", 6], [\"telling-truth\... | {"split": "train", "index": 19697} |
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: Riley, Sebastian, Isabella, Grace, Evelyn, Daniel, Luke, Mason, and Victoria. In a statement by Riley: \"(if (Grace is a fool or Grace is a sage) then (Vic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1920, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 8], [\"lying\", 4], [\"lying\", 5], [\"telling-truth\", 1]]], [\"telling-truth\", 5]], [\"->\", [\"or\",... | {"split": "train", "index": 19698} |
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: Sebastian, Michael, Emily, Evelyn, Penelope, Riley, Charlotte, Ella, and Amelia. Sebastian was heard saying, \"(if (Penelope is a villain and Evelyn ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1921, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 5]], [\"lying\", 7]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"lying... | {"split": "train", "index": 19699} |
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