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 sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Luke, Evelyn, Daniel, Owen, Sebastian, Jacob, Penelope, Scarlett, and Sophia. Luke noted, \"Daniel is a fool\". \"Luke is a sage,\" Evelyn mentioned. Danie... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 732, \"statements\": [[\"lying\", 2], [\"telling-truth\", 0], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 0], [\"telling-truth\", 8]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [... | {"split": "train", "index": 7400} |
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: Abigail, Jacob, Benjamin, Joseph, Charlotte, Alexander, James, Noah, and Emma. In Abigail's words: \"(Abigail is an altruist or Joseph is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 733, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 6], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"telli... | {"split": "train", "index": 7401} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emma, Mia, Abigail, James, Grace, Alexander, Olivia, Matthew, and Oliver. \"Alexander is a sinner,\" Emma mentioned. In Mia's words: \"it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 734, \"statements\": [[\"lying\", 5], [\"not\", [\"->\", [\"lying\", 7], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 0], [\"or\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"->\", [\"or\", [\"telling-truth\", 5], [\"tellin... | {"split": "train", "index": 7402} |
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: Abigail, Samuel, Emma, Mason, Benjamin, Jacob, Joseph, Scarlett, and Jackson. As Abigail put it, \"Joseph is an altruist if and only if (if Sam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 735, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"lying\", 4], [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling... | {"split": "train", "index": 7403} |
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, Ethan, Sophia, Aria, Alexander, Evelyn, Benjamin, Victoria, and Ava. Penelope expressed that (Ethan is a hero and Victoria is a villain) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 736, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 7]], [\"telling-truth\", 6]], [\"lying\", 5], [\"->\", [\"telling-truth\", 7], [\"lying\", 5]], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"->\... | {"split": "train", "index": 7404} |
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: Daniel, Riley, Victoria, Scarlett, Jacob, Sophia, Lily, Joseph, and Jackson. \"(if Lily is a sage then Jacob is a sage) if and only if Jacob is a fool,\" D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 737, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"lying\", 4]], [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 2]], [\"lying\", 8]], [\"telling-truth\", 8], [\"not\", [\"or\",... | {"split": "train", "index": 7405} |
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, Lucas, Sophia, Henry, Joseph, Isabella, Daniel, Lily, and Ethan. Logan asserted: \"(if Henry is a devil then Sophia is an angel) or (Lucas is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 738, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"and\", [\"lying\", 8], [\"not\", [\"lying\", 6]]], [\"not\", [\"and\", [\"lying\", 3], [\"l... | {"split": "train", "index": 7406} |
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: Elizabeth, Amelia, James, Luke, Mason, Jack, Penelope, Riley, and Sophia. Elizabeth said, \"(Mason is a fool or Amelia is a fool) or (Sophia is a fool or M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 739, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 3]], [\"telling-truth\", 7]], [\"telling-truth\... | {"split": "train", "index": 7407} |
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: Chloe, Sebastian, Oliver, Olivia, Ava, Zoey, Henry, Ethan, and William. Chloe expressed that (Ava is an angel if and only if William is a devil) and (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 740, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]], [\"->\", [\"lying\", 6], [\"lying\", 8]]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"... | {"split": "train", "index": 7408} |
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: Luke, Charlotte, Mason, Samuel, Isabella, Sofia, Abigail, Avery, and Jacob. Luke asserted: \"(Avery is a sage and Mason is a fool) if and only if Sofia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 741, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 2]], [\"telling-truth\", 5]], [\"or\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"lying\", 1], [\"and\", [\"no... | {"split": "train", "index": 7409} |
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: Daniel, Alexander, Luke, Victoria, Oliver, David, Ethan, Riley, and Sebastian. As Daniel put it, \"Victoria is an angel if and only if (Oliver is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 742, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 7], [\"lying\", 0]]], [\"or\", [\"and\", [\... | {"split": "train", "index": 7410} |
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: Emily, Joseph, Aiden, Riley, Logan, Ella, Olivia, Scarlett, and Mason. \"Riley is a sage and (Mason is a fool or Scarlett is a sage),\" Emily mentioned. Jo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 743, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"or\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"lying\", 6], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\"... | {"split": "train", "index": 7411} |
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, Lily, Zoey, Amelia, David, Sebastian, Aiden, Olivia, and Elizabeth. \"(Amelia is a laggard or Lily is a laggard) if and only if (Lily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 744, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6... | {"split": "train", "index": 7412} |
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, Lily, Mason, William, Noah, Chloe, Liam, Ella, and Jacob. James expressed that (Jacob is a fool and Liam is a fool) and (James is a sage and Liam is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 745, \"statements\": [[\"and\", [\"and\", [\"lying\", 8], [\"lying\", 6]], [\"and\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 7413} |
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: Penelope, Alexander, Noah, Michael, Owen, Elizabeth, Ella, Sebastian, and Avery. \"(Owen is a sinner or Michael is a sinner) and (if Alexander is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 746, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 7]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"or\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"not... | {"split": "train", "index": 7414} |
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, Logan, Aurora, Isabella, Charlotte, Sofia, Ella, David, and Aiden. \"(Charlotte is an angel and Logan is an angel) and (Sofia is an angel or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 747, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling... | {"split": "train", "index": 7415} |
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: Daniel, Luke, Jack, Emma, Chloe, Lily, Joseph, Zoey, and Evelyn. In a statement by Daniel: \"(Lily is a saint if and only if Zoey is a saint) and (Zo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 748, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"telling-truth\", 6], [\"telling-truth\", 6], [\"or\", [\"->\", [\"telling... | {"split": "train", "index": 7416} |
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: Liam, Daniel, Lily, Grace, Chloe, Mason, Emma, Sebastian, and Jackson. Liam remarked, \"(Chloe is a saint or Emma is a sinner) if and only if (Daniel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 749, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 6]], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 7], [\"tel... | {"split": "train", "index": 7417} |
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, Elizabeth, Noah, James, Jackson, Chloe, Mia, Jacob, and Olivia. \"(Jackson is a sage) or (if Jackson is a sage then Jacob is a sage),\" Owen claimed.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 750, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]], [\"not\", [\"lying\", 0]]], [\"not\", [\"lying\",... | {"split": "train", "index": 7418} |
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: Jackson, Alexander, Matthew, Ethan, Amelia, Liam, Oliver, Sofia, and Penelope. Jackson told you that Matthew is an egoist and Amelia is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 751, \"statements\": [[\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 1]], [\"telling-truth\", 2]... | {"split": "train", "index": 7419} |
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: William, Joseph, Lucas, Mia, Liam, Isabella, Noah, Daniel, and Riley. William said, \"Daniel is a knave.\" \"(Noah is a knight and Liam is a knave) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 752, \"statements\": [[\"not\", [\"telling-truth\", 7]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"<=>\", [\"lying\", 0], [\"not\", [\"telling-tr... | {"split": "train", "index": 7420} |
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: William, Abigail, Sofia, James, Jacob, Aurora, Emily, Lucas, and Jackson. William told you that (Jacob is a villain if and only if Lucas is a hero) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 753, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\"... | {"split": "train", "index": 7421} |
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: Benjamin, Zoey, Mason, Evelyn, Avery, Logan, Charlotte, Mia, and Amelia. \"(Mason is a laggard and Evelyn is a laggard) and (Logan is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 754, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 5]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 0]]], [\... | {"split": "train", "index": 7422} |
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: James, Ava, Olivia, Jack, Penelope, Harper, Benjamin, Abigail, and David. In James's words: \"if (David is a pioneer) then Abigail is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 755, \"statements\": [[\"->\", [\"not\", [\"lying\", 8]], [\"lying\", 7]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 2],... | {"split": "train", "index": 7423} |
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: Benjamin, Jack, Samuel, Jackson, Amelia, Aiden, Aria, Logan, and Sebastian. \"(if Sebastian is a hero then Aria is a villain) if and only if (Jack is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 756, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 6]], [\"not\", [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]... | {"split": "train", "index": 7424} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mia, Joseph, Isabella, Aiden, David, Grace, Jackson, James, and Evelyn. In a statement by Mia: \"James is a hero\". According to Joseph, \"(Grace is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 757, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 2]], [\"<=>\", [\"lying\", 0], [\"lying\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 8]], [\"->\", [\"lying\", 0],... | {"split": "train", "index": 7425} |
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: Daniel, Olivia, Mason, Amelia, Mia, William, Aria, Owen, and Logan. \"(Aria is a fool if and only if Amelia is a sage) and William is a fool,\" Daniel ment... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 758, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]], [\"lying\", 5]], [\"->\", [\"not\", [\"lying\", 8]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 7426} |
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, Elizabeth, Abigail, Olivia, Charlotte, Harper, Isabella, Noah, and Daniel. Victoria said, \"(Elizabeth is a fool) if and only if (Harper is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 759, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"and\", [\"lying\", 8], [\"telling-truth\", 0]], [\"and\", [\"and\"... | {"split": "train", "index": 7427} |
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: Ethan, Alexander, David, Riley, Jack, Elizabeth, Jackson, Lily, and Amelia. According to Ethan, \"if (Alexander is a fool) then (David is a sage and Ethan ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 760, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 0]], [\"lying\", 8]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"and\", ... | {"split": "train", "index": 7428} |
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: Lily, Luke, Victoria, Harper, Noah, Aurora, Isabella, Daniel, and Chloe. In a statement by Lily: \"(Aurora is a knave or Noah is a knight) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 761, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]], [\"lying\", 3]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"or\",... | {"split": "train", "index": 7429} |
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: Jack, Harper, Sebastian, Alexander, Riley, David, Noah, Penelope, and Abigail. \"if (Abigail is an egoist if and only if Alexander is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 762, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 5], [\"l... | {"split": "train", "index": 7430} |
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, Ella, Jack, Chloe, Luke, Grace, Victoria, William, and Ethan. According to Joseph, \"if Ethan is a sinner then Ethan is a saint\". In a state... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 763, \"statements\": [[\"->\", [\"lying\", 8], [\"telling-truth\", 8]], [\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\... | {"split": "train", "index": 7431} |
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: Sofia, Mason, Charlotte, Sophia, David, Aiden, Matthew, Avery, and Liam. Sofia commented, \"(if Mason is a villain then Liam is a villain) and (Mason... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 764, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"lying\", 8]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"and\", [\"an... | {"split": "train", "index": 7432} |
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, Owen, Emma, Ethan, Henry, Emily, Aria, Charlotte, and Abigail. Matthew was heard saying, \"if (Ethan is a fool if and only if Matthew is a sage) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 765, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"lying\", 6], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"lying\", 6], [\"telling... | {"split": "train", "index": 7433} |
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: Henry, Logan, Grace, Aria, Charlotte, Mia, Elizabeth, Owen, and Isabella. Henry remarked, \"(if Charlotte is a knight then Elizabeth is a knave) or A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 766, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"telling-truth\", 3]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], ... | {"split": "train", "index": 7434} |
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: Luke, Sebastian, Charlotte, Samuel, Abigail, Jackson, Zoey, Harper, and Ethan. In Luke's words: \"(Sebastian is a knight and Zoey is a knave) or (Cha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 767, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 6]], [\"and\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"and\", [\"lying\", 4], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"and\", [\"-... | {"split": "train", "index": 7435} |
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: Lucas, Joseph, Zoey, Luke, Mason, James, Lily, Harper, and Aria. In a statement by Lucas: \"(Luke is a saint if and only if Mason is a saint) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 768, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5]], [\"->\", [\"tell... | {"split": "train", "index": 7436} |
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, Scarlett, Samuel, Olivia, Ethan, Jack, Aurora, Michael, and Emma. Ava stated, \"if (Olivia is a hero if and only if Samuel is a villain) then Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 769, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 8]... | {"split": "train", "index": 7437} |
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, Sofia, Liam, Sophia, Henry, Lucas, Ethan, and Lily. As Zoey put it, \"Lily is an angel if and only if (Lily is an angel and Liam is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 770, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 7438} |
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: William, Victoria, Emma, Lily, Olivia, Sebastian, Samuel, Charlotte, and Grace. \"it is not the case that (Charlotte is an angel if and only if Olivia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 771, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"a... | {"split": "train", "index": 7439} |
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: Noah, Riley, Aurora, Aria, Alexander, Ella, Jackson, Ethan, and Amelia. In a statement by Noah: \"Amelia is a pioneer or (Aria is a laggard if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 772, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"telling-truth\", 7]], [\"telling-truth\", 8], [\"... | {"split": "train", "index": 7440} |
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: Sofia, Penelope, Liam, Emily, Grace, Ella, Benjamin, Lily, and Mason. \"(Ella is a fool if and only if Emily is a sage) or (if Grace is a fool then Mason i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 773, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 8]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 8], [\"telli... | {"split": "train", "index": 7441} |
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, Aurora, Harper, Liam, Scarlett, Amelia, Chloe, Oliver, and Charlotte. Ethan noted, \"(Harper is a villain if and only if Oliver is a hero) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 774, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]], [\"telling-truth\", 6]], [\"->\", [\"lying\", 5], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-tru... | {"split": "train", "index": 7442} |
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, Zoey, Michael, Alexander, Aurora, Samuel, Abigail, Daniel, and Matthew. James noted, \"if (Alexander is a devil and Alexander is an angel) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 775, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 5]], [\"not\", [\"lying\", 3]]], [\"<=... | {"split": "train", "index": 7443} |
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, Chloe, Victoria, Michael, Matthew, William, Sebastian, James, and Lucas. \"if Lucas is an altruist then Victoria is an egoist,\" Isab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 776, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"lying\", 2]], [\"telling-truth\", 6], [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"<=>\... | {"split": "train", "index": 7444} |
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: Luke, Samuel, Benjamin, Joseph, Abigail, Penelope, Zoey, Ethan, and Evelyn. As Luke put it, \"(Joseph is an egoist) if and only if (Benjamin is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 777, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\", ... | {"split": "train", "index": 7445} |
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, Michael, Sebastian, Mia, Aiden, Henry, Penelope, Sophia, and James. Noah said, \"if Henry is a knight then (Sophia is a knave or Henry is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 778, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"or\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 5]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"not\",... | {"split": "train", "index": 7446} |
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, Elizabeth, Michael, Oliver, Logan, Evelyn, Victoria, David, and Lily. In Joseph's words: \"if (Oliver is an angel and Elizabeth is a devil) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 779, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3... | {"split": "train", "index": 7447} |
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: William, Owen, Abigail, Grace, Mason, Noah, Scarlett, Zoey, and Lucas. According to William, \"if (if Mason is a hero then Mason is a villain) then A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 780, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 2]], [\"telling-truth\", 5], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 5]]],... | {"split": "train", "index": 7448} |
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, Penelope, Matthew, Grace, Mason, Abigail, Oliver, Sophia, and Emma. \"(Grace is a sinner and Noah is a saint) if and only if (Abigail is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 781, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\... | {"split": "train", "index": 7449} |
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: Lucas, Olivia, Logan, Alexander, Joseph, Aria, Charlotte, Elizabeth, and James. Lucas noted, \"(Aria is an altruist if and only if Olivia is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 782, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 1]], [\"->\", [\"lying\", 8], [\"lying\", 6]]], [\"lying\", 8], [\"not\", [\"or\", [\"lying\", 6], [\"lying\", 7]]], [\"not\", [\"lying\", 0]], [\"<... | {"split": "train", "index": 7450} |
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: Daniel, Ella, Grace, Joseph, Avery, Jack, Evelyn, Victoria, and Matthew. Daniel expressed that it is not the case that (Joseph is a sage and Daniel is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 783, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"l... | {"split": "train", "index": 7451} |
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, Henry, Samuel, Mason, Aria, Matthew, Aurora, Alexander, and Amelia. As Riley put it, \"Riley is a hero\". Henry asserted: \"(Matthew is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 784, \"statements\": [[\"telling-truth\", 0], [\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 3]]],... | {"split": "train", "index": 7452} |
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: Henry, Alexander, David, Lily, Chloe, Amelia, Ethan, Emily, and Noah. \"it is not the case that (Emily is a pioneer if and only if Noah is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 785, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"lying\", 2], [... | {"split": "train", "index": 7453} |
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, Michael, Owen, Logan, Henry, Matthew, Emily, Lily, and Jack. Zoey said that (Jack is a saint and Zoey is a saint) and (Owen is a saint or Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 786, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 0], [\"->\", [\"telling-truth\", 2], [\"telling-truth\"... | {"split": "train", "index": 7454} |
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: Elizabeth, Jack, Sofia, Harper, Samuel, Ethan, William, Matthew, and Mia. Elizabeth said that (if William is a hero then Jack is a hero) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 787, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"lying\", 4], [\"telling-truth\", 3], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 7455} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aria, Jackson, Alexander, Ethan, Daniel, Zoey, Owen, Liam, and William. \"William is a sage,\" Aria declared. \"(Liam is a sage if and only if Ethan is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 788, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"lying\", 2]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 8]], [\"not\", [\"lying\", 5]]], [\"<=>\... | {"split": "train", "index": 7456} |
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: Alexander, Samuel, Luke, Aurora, Aria, Charlotte, Oliver, Henry, and Matthew. Alexander said that it is not the case that (Luke is a saint if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 789, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 6]... | {"split": "train", "index": 7457} |
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, Logan, Mason, James, Lily, Chloe, Scarlett, Grace, and Emily. Henry said that (Mason is a fool if and only if Emily is a fool) if and only if (if Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 790, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 8]], [\"->\", [\"lying\", 4], [\"lying\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 4]], [... | {"split": "train", "index": 7458} |
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, Avery, Ava, Joseph, Matthew, Mason, Victoria, Michael, and Emily. As Sebastian put it, \"Joseph is a fool\". Avery noted, \"Matthew is a sage\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 791, \"statements\": [[\"lying\", 3], [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"and\... | {"split": "train", "index": 7459} |
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, Owen, Jacob, Samuel, Scarlett, William, Matthew, Sebastian, and Aiden. Henry said that (if Owen is a saint then Jacob is a saint) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 792, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"not\", [\"tel... | {"split": "train", "index": 7460} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mia, Avery, Jack, Henry, Noah, Emma, Olivia, Aria, and Isabella. Mia asserted: \"(if Emma is a villain then Emma is a hero) and (Henry is a villain o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 793, \"statements\": [[\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 8]], [\"not\", [\"lying\", 0]]], [\"or... | {"split": "train", "index": 7461} |
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: Scarlett, Victoria, Elizabeth, Ella, Grace, Jack, Charlotte, Chloe, and Owen. Scarlett remarked, \"if (Charlotte is a hero) then (Chloe is a hero and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 794, \"statements\": [[\"->\", [\"not\", [\"lying\", 6]], [\"and\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"not\", [\"not\", ... | {"split": "train", "index": 7462} |
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: Lily, Daniel, Chloe, Aiden, Michael, Charlotte, Logan, Olivia, and Amelia. In a statement by Lily: \"if (Logan is a saint) then Daniel is a saint\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 795, \"statements\": [[\"->\", [\"not\", [\"lying\", 6]], [\"telling-truth\", 1]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"te... | {"split": "train", "index": 7463} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Lily, Scarlett, Jackson, Penelope, Sophia, Emily, Alexander, Luke, and Samuel. Lily was heard saying, \"Luke is a fool\". \"(if Penelope is a sage then Emi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 796, \"statements\": [[\"lying\", 7], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 8]], [\"<=>\",... | {"split": "train", "index": 7464} |
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, Jacob, Grace, James, Avery, Oliver, Aria, Sebastian, and Matthew. Penelope was heard saying, \"Grace is a villain\". Jacob commented, \"it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 797, \"statements\": [[\"lying\", 2], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"t... | {"split": "train", "index": 7465} |
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, Aiden, Mia, Olivia, Logan, Daniel, Grace, and Luke. Abigail expressed that (Olivia is a villain and Aiden is a hero) or (Grace is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 798, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"l... | {"split": "train", "index": 7466} |
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: Sophia, Henry, Aiden, Mason, Logan, Elizabeth, Penelope, Alexander, and Daniel. As Sophia put it, \"Alexander is a knight\". In a statement by Henry:... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 799, \"statements\": [[\"telling-truth\", 7], [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 8]], [\"->\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying... | {"split": "train", "index": 7467} |
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: Benjamin, Lucas, Henry, Grace, Alexander, Riley, Evelyn, Aurora, and Abigail. Benjamin said that (Henry is a villain or Evelyn is a hero) and (Aurora... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 800, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"and\", [\"tell... | {"split": "train", "index": 7468} |
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, Zoey, Charlotte, Ella, William, Aiden, Lucas, and Oliver. Alexander expressed that if Oliver is a laggard then (Zoey is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 801, \"statements\": [[\"->\", [\"lying\", 8], [\"<=>\", [\"lying\", 2], [\"lying\", 7]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 6]], [\"telling-truth\", 6]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]... | {"split": "train", "index": 7469} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: David, Scarlett, William, Grace, Victoria, Lucas, Lily, Luke, and Jack. David was heard saying, \"(Luke is a pioneer) and (David is a pioneer i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 802, \"statements\": [[\"and\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"telling-truth\", 6], [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"not\", [\"te... | {"split": "train", "index": 7470} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Penelope, Isabella, James, Lucas, Luke, Henry, Mia, Ella, and Oliver. Penelope remarked, \"Isabella is an angel\". \"(Luke is an angel or Ella is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 803, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"->\", [\"lying\", 4], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\"... | {"split": "train", "index": 7471} |
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, Mason, Jacob, Isabella, Avery, Oliver, Noah, Harper, and Daniel. \"(Mason is a fool or Daniel is a fool) if and only if Avery is a sage\" - Owen. Mas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 804, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 8]], [\"telling-truth\", 4]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 8], [\"lying\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 2... | {"split": "train", "index": 7472} |
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, David, Penelope, Luke, Henry, Avery, Abigail, Oliver, and Charlotte. Aurora told you that Avery is an altruist. As David put it, \"(Luk... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 805, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"and\", [\"not\", [\"lying\", 7]], [\"telling-tru... | {"split": "train", "index": 7473} |
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, Daniel, Riley, Liam, James, Matthew, Elizabeth, Mia, and Aurora. Jack remarked, \"Riley is a fool and (if Aurora is a sage then Mia is a fool)\". Acc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 806, \"statements\": [[\"and\", [\"lying\", 2], [\"->\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"<=>... | {"split": "train", "index": 7474} |
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, James, Abigail, Joseph, Charlotte, Noah, Oliver, Owen, and Mason. \"it is not the case that (Joseph is a devil if and only if Abigail is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 807, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"lying\", 5], [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"->\", [\"lying\", 0],... | {"split": "train", "index": 7475} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emma, Grace, Sebastian, Daniel, Luke, Ava, Joseph, Matthew, and Lucas. As Emma put it, \"it is not the case that (Lucas is a sage or Lucas is a fool)\". Gr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 808, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 7]], [\"lying\", 7]], [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 4], [\"->\", [... | {"split": "train", "index": 7476} |
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, Alexander, Charlotte, Harper, Samuel, Ella, Logan, Michael, and Zoey. According to Henry, \"(Henry is a saint if and only if Alexander is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 809, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], ... | {"split": "train", "index": 7477} |
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: Grace, Zoey, Liam, Ava, Emma, Penelope, Chloe, Aiden, and Mia. Grace said that it is not the case that (Ava is a sinner if and only if Emma is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 810, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 5]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"and\", [\"tel... | {"split": "train", "index": 7478} |
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: William, Zoey, James, Jacob, Emma, Oliver, Sebastian, Evelyn, and Henry. \"(Jacob is a devil and Oliver is an angel) if and only if (William is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 811, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"t... | {"split": "train", "index": 7479} |
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, Liam, Harper, Lily, Victoria, Henry, Luke, Lucas, and Owen. \"(if Harper is a knight then Luke is a knave) or (Liam is a knave or Owen is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 812, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]], [\"or\", [\"lying\", 1], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 0]], [\"and\", [\"telling-truth\", 2],... | {"split": "train", "index": 7480} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Mia, Zoey, Samuel, Elizabeth, Liam, Aria, Harper, Noah, and Riley. \"it is not the case that (if Noah is an angel then Samuel is an angel)\" - Mia. Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 813, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"or\", [\"telling-tru... | {"split": "train", "index": 7481} |
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: Samuel, Sophia, Ethan, Chloe, Oliver, Mason, Sofia, Ava, and Penelope. As Samuel put it, \"if (Ava is a sage or Ethan is a sage) then (Oliver is a sage and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 814, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"tell... | {"split": "train", "index": 7482} |
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, Ava, Lily, Oliver, Riley, Alexander, Elizabeth, Joseph, and Scarlett. \"Elizabeth is an egoist\" - Owen. In a statement by Ava: \"(Lily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 815, \"statements\": [[\"lying\", 6], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 5]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"<... | {"split": "train", "index": 7483} |
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: Mia, Oliver, Olivia, Evelyn, Chloe, Jack, Mason, Ethan, and Alexander. \"(Ethan is a laggard and Mia is a pioneer) and (Oliver is a pioneer and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 816, \"statements\": [[\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"and\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 6], [\"lying\", ... | {"split": "train", "index": 7484} |
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: Chloe, Lily, Scarlett, Elizabeth, Lucas, Benjamin, Michael, Grace, and Mia. \"Benjamin is a villain and (if Lucas is a hero then Mia is a hero),\" Ch... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 817, \"statements\": [[\"and\", [\"lying\", 5], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"lying\", 2], [\"not\", [\"not\", [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 8]], [\"no... | {"split": "train", "index": 7485} |
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, Michael, Henry, Benjamin, William, Evelyn, Chloe, Mia, and Samuel. Victoria expressed that (Victoria is an egoist) if and only if (Ev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 818, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"and\", [\"lying\", 8], [\"telling-trut... | {"split": "train", "index": 7486} |
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: Michael, Victoria, Sofia, Lucas, Daniel, Jack, Sebastian, Henry, and Amelia. Michael commented, \"if (Lucas is an egoist) then Jack is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 819, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 5]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 8]], [\"and\", [\"lying\", 6], [\"lying\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 7487} |
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: Samuel, Noah, Liam, Charlotte, Abigail, Avery, Sofia, Luke, and Jack. Samuel expressed that (Noah is a sage or Avery is a sage) or (if Charlotte is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 820, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"lying\", 5], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"->\",... | {"split": "train", "index": 7488} |
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: Sofia, Harper, Ella, Jack, Amelia, Daniel, Benjamin, Charlotte, and Aria. In Sofia's words: \"if (Charlotte is an altruist) then (Harper is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 821, \"statements\": [[\"->\", [\"not\", [\"lying\", 7]], [\"and\", [\"lying\", 1], [\"telling-truth\", 5]]], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 8], [\"lying\", 6]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"t... | {"split": "train", "index": 7489} |
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, Alexander, Aurora, David, Amelia, Oliver, Samuel, Henry, and Evelyn. Jack noted, \"(Samuel is a fool and Oliver is a sage) or (Oliver is a sage if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 822, \"statements\": [[\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 6], [\"and\", [\"lying\", 5], [\"telling-truth\", 3]]],... | {"split": "train", "index": 7490} |
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, Aurora, Ava, Sophia, Avery, Amelia, Charlotte, Logan, and Jacob. According to Matthew, \"Avery is a villain\". \"(Sophia is a hero or Amelia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 823, \"statements\": [[\"lying\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 5]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 8], [\... | {"split": "train", "index": 7491} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Abigail, Joseph, Isabella, Henry, Logan, Sophia, Oliver, Ella, and James. Abigail noted, \"(if Ella is a sinner then Joseph is a sinner) and (if Loga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 824, \"statements\": [[\"and\", [\"->\", [\"lying\", 7], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 6]], [\"lying\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 7492} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Olivia, Sophia, Noah, Grace, Isabella, Daniel, Logan, Ethan, and Penelope. \"it is not the case that (Penelope is a knave or Penelope is a knight),\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 825, \"statements\": [[\"not\", [\"or\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 4]], [\"telling-truth\", 5], [\"<=>\", [\"and\", [\"telling-tru... | {"split": "train", "index": 7493} |
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, Jack, William, Luke, Chloe, Noah, Scarlett, Charlotte, and David. In a statement by Evelyn: \"(Charlotte is a villain or Jack is a hero) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 826, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-tr... | {"split": "train", "index": 7494} |
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: Matthew, Benjamin, William, Emma, Alexander, Harper, Sebastian, Mia, and Riley. Matthew stated, \"(Harper is an egoist) if and only if (Alexand... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 827, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"telling-truth\", 6], [\"or\", [\"lying\", 7], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]],... | {"split": "train", "index": 7495} |
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: Benjamin, Jack, Amelia, Owen, Riley, Jacob, James, Daniel, and Aurora. \"(if Riley is a pioneer then Owen is a pioneer) if and only if (if Owen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 828, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"and\", [\"lying\", 6], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"<=... | {"split": "train", "index": 7496} |
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: Michael, Daniel, Logan, Mia, Emma, Noah, Aiden, Aurora, and Luke. \"Luke is a laggard,\" Michael declared. Daniel noted, \"if (Aurora is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 829, \"statements\": [[\"lying\", 8], [\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 7]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 0]... | {"split": "train", "index": 7497} |
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, Aiden, Daniel, Michael, Owen, Emily, Ella, Olivia, and Henry. Aurora asserted: \"Emily is an altruist\". Aiden commented, \"it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 830, \"statements\": [[\"not\", [\"lying\", 5]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"<=>\", [\"telling-truth\", 8], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"lying\", 7], [\"->\", [\"telling-... | {"split": "train", "index": 7498} |
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: Charlotte, Abigail, Evelyn, Samuel, Jackson, James, Aurora, Logan, and Daniel. \"(James is a saint if and only if Jackson is a sinner) or (Samuel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 831, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 4]], [\"<=>\", [\"telling-trut... | {"split": "train", "index": 7499} |
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