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 altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Noah, Logan, Sophia, Aria, Avery, Henry, Zoey, Samuel, and Luke. \"Luke is an egoist,\" Noah claimed. Logan asserted: \"Sophia is an altruist\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 32, \"statements\": [[\"lying\", 8], [\"telling-truth\", 2], [\"->\", [\"lying\", 4], [\"and\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 0... | {"split": "train", "index": 6700} |
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: Samuel, Zoey, Sophia, Ethan, Michael, Sebastian, Alexander, Sofia, and Harper. Samuel noted, \"Michael is an altruist or (Zoey is an altruist o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 33, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]]], [... | {"split": "train", "index": 6701} |
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, Victoria, Emily, Sofia, Charlotte, James, Mason, Elizabeth, and Joseph. \"Emily is a fool if and only if (James is a sage),\" Lucas mentioned. Victo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 34, \"statements\": [[\"<=>\", [\"lying\", 2], [\"not\", [\"lying\", 5]]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 6]], [\"or\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 7]]], [\... | {"split": "train", "index": 6702} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Joseph, James, Chloe, Aiden, Lucas, Riley, Aria, Logan, and Henry. Joseph remarked, \"if (Aiden is an egoist) then (Chloe is an egoist if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 35, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 6]], [\"lying\", 6]], [\"or\", [\"<=>\", [\"telling-truth\", 0]... | {"split": "train", "index": 6703} |
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, Jacob, Samuel, William, Ella, Riley, Ethan, Emily, and Grace. \"(Grace is a laggard and William is a laggard) or (Jacob is a laggard)\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 36, \"statements\": [[\"or\", [\"and\", [\"lying\", 8], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 1]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-... | {"split": "train", "index": 6704} |
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, Aurora, Logan, Sophia, Mia, Alexander, Daniel, James, and Jacob. According to Benjamin, \"Mia is a villain\". In Aurora's words: \"it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 37, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"not\", [\"not\", [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 5]], [\"not\", [\"telling-truth\", 6]]], [\"lying\", 0], [\"telling-truth\", 8... | {"split": "train", "index": 6705} |
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: Olivia, Emily, Oliver, Emma, Ethan, William, Aurora, Isabella, and Henry. Olivia said that it is not the case that (Oliver is a saint or Aurora is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 38, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"telling-truth\", 3], [\"or\", [\"or\", [\"lying\", 5], [\"lying\", 0]], [\"or\"... | {"split": "train", "index": 6706} |
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, Samuel, Amelia, Jacob, Lucas, Aurora, Zoey, Luke, and Mia. Penelope said that (Samuel is a saint if and only if Samuel is a sinner) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 39, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 8]], [\"->\", [\"lying\", 3],... | {"split": "train", "index": 6707} |
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, Jack, Emma, Scarlett, Liam, Lily, Zoey, Isabella, and Mason. \"if (Scarlett is a villain) then (Ethan is a villain)\" - Ethan. Jack expressed ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 40, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"and\", [\"<=>\", [\"lying\", 8], [\"lying\", 6]], [\"and\", [\"telling-truth\", 4], ... | {"split": "train", "index": 6708} |
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: Michael, Chloe, Noah, Penelope, Owen, Sophia, Ethan, David, and Alexander. \"if (Chloe is a fool if and only if Owen is a fool) then (Sophia is a sage and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 41, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"lying\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"and\", [\"lyi... | {"split": "train", "index": 6709} |
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, Emily, Noah, Isabella, Elizabeth, Matthew, Owen, and Abigail. Victoria said, \"Abigail is a hero if and only if (if Elizabeth is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 42, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"not\", [\"lying\",... | {"split": "train", "index": 6710} |
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, Evelyn, Riley, Harper, Joseph, Luke, Aurora, and Chloe. As James put it, \"if (Chloe is a laggard if and only if Ava is a pioneer) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 43, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]], [\"lying\", 2]], [\"or\", [\"and\", [\"lying\", 8], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"and\",... | {"split": "train", "index": 6711} |
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: Mia, Jack, Noah, Owen, Isabella, Ava, Aurora, Sofia, and Chloe. Mia remarked, \"Ava is a knight\". \"(Chloe is a knight or Owen is a knight) and (Ava... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 44, \"statements\": [[\"not\", [\"lying\", 5]], [\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"not\", [\"lying\", 5]]], [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 0]], [\"and\", [\"telling-truth\", 7... | {"split": "train", "index": 6712} |
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: Jacob, Matthew, Ella, Emily, Riley, Henry, Sebastian, Evelyn, and Joseph. According to Jacob, \"if (Evelyn is a sage) then (Emily is a fool and Joseph is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 45, \"statements\": [[\"->\", [\"not\", [\"lying\", 7]], [\"and\", [\"lying\", 3], [\"lying\", 8]]], [\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 8]]], [\"telling-truth\", 7], [\"->\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 6713} |
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, Mason, Ava, Lucas, Amelia, Avery, Samuel, Alexander, and Jack. In Emma's words: \"(Alexander is a fool if and only if Amelia is a sage) and (Avery is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 46, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 3],... | {"split": "train", "index": 6714} |
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, Jackson, Aiden, Samuel, Oliver, Noah, Amelia, Chloe, and Jacob. Scarlett stated, \"(Scarlett is a knight and Chloe is a knight) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 47, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 3]], [\"->\", [\"lying\", 0], [\"lying\", 7]]], [\"and\... | {"split": "train", "index": 6715} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Joseph, Lily, Oliver, Sophia, Luke, Emma, William, Ella, and Lucas. Joseph expressed that (Lily is an egoist) and (William is an altruist and W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 48, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-trut... | {"split": "train", "index": 6716} |
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, Elizabeth, Harper, Ella, Sofia, Aria, Amelia, Aiden, and Abigail. Scarlett noted, \"it is not the case that (Elizabeth is an angel)\". Elizab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 49, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"not\", [\"lying\", 4]], [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 6]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 5]]], [\"lying\", 1], [\"or\", [\"and\", [... | {"split": "train", "index": 6717} |
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, Lucas, Logan, Matthew, Benjamin, Riley, Penelope, Samuel, and Aria. \"(Benjamin is a sinner if and only if Charlotte is a saint) or (Benja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 50, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 8]], [\"not\", [\"not\... | {"split": "train", "index": 6718} |
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: Elizabeth, Aurora, Ethan, Lily, Ella, Matthew, Daniel, Michael, and Sophia. Elizabeth remarked, \"Ella is a sinner if and only if Ethan is a sinner\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 51, \"statements\": [[\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 0]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"telling-truth\", 3], [\"->\", [\"or\", [\"tellin... | {"split": "train", "index": 6719} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Elizabeth, Zoey, Olivia, Chloe, Lily, Michael, Alexander, and Victoria. Jackson said, \"(Chloe is a knight if and only if Jackson is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 52, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 7]], [\"lying\", 5], [\"->\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 7], [\"lying\", 1]]], [\"not\", ... | {"split": "train", "index": 6720} |
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, Henry, Liam, Alexander, Aiden, Olivia, Riley, Chloe, and Aurora. Aria said that Aurora is an altruist. Henry commented, \"(Aria is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 53, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 6]], [\"->\", [\"lying\", 3], [\"lying\", 7]]], [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]... | {"split": "train", "index": 6721} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Mason, Olivia, Noah, Jacob, Chloe, Oliver, Zoey, Aria, and Sophia. Mason noted, \"if (Sophia is a sinner) then (Chloe is a saint or Sophia is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 54, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"an... | {"split": "train", "index": 6722} |
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, Sebastian, Elizabeth, Mia, Ethan, Sophia, Ava, Mason, and Penelope. In James's words: \"(Sebastian is a fool if and only if Mason is a sage) or (Mas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 55, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 5], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"<=>\", [\"and... | {"split": "train", "index": 6723} |
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: Noah, Jacob, Aurora, Elizabeth, Logan, Joseph, Riley, James, and Michael. Noah asserted: \"(Noah is an egoist) or (James is an altruist)\". Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 56, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 7]]], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"t... | {"split": "train", "index": 6724} |
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, Noah, James, Ava, Isabella, Scarlett, Elizabeth, Michael, and William. Zoey asserted: \"it is not the case that (Scarlett is a knave and Ava is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 57, \"statements\": [[\"not\", [\"and\", [\"lying\", 5], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"and\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"ly... | {"split": "train", "index": 6725} |
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: Scarlett, James, Luke, Avery, Jacob, Aiden, Harper, Ella, and Riley. Scarlett commented, \"James is a fool\". \"(if Avery is a fool then Ella is a fool) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 58, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 7]], [\"lying\", 2]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"and\", [\"->\", [\"lying\", 1], [\"lyi... | {"split": "train", "index": 6726} |
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: Luke, Daniel, Emma, Evelyn, Elizabeth, Aiden, Ethan, Grace, and Sebastian. Luke commented, \"Aiden is a villain and Luke is a hero\". Daniel stated, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 59, \"statements\": [[\"and\", [\"lying\", 5], [\"telling-truth\", 0]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth... | {"split": "train", "index": 6727} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Owen, Oliver, Charlotte, Alexander, Ava, Amelia, Mia, Grace, and Lily. Owen was heard saying, \"(Amelia is a pioneer and Amelia is a laggard) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 60, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 5]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"tel... | {"split": "train", "index": 6728} |
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: Daniel, Luke, Ava, William, Zoey, Aria, Sophia, Jacob, and Jack. Daniel commented, \"(William is a knave) if and only if (Jack is a knight if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 61, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 8], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"t... | {"split": "train", "index": 6729} |
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: Ethan, Jacob, William, David, Scarlett, Henry, Mia, Victoria, and Emma. Ethan commented, \"if (Emma is a knave if and only if William is a knave) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 62, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"->\", [\"lying\", 0], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"lying\", 6], [\... | {"split": "train", "index": 6730} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aiden, Sebastian, Sophia, Penelope, Lily, William, Jack, Emma, and Aurora. Aiden commented, \"Emma is an angel if and only if Lily is a devil\". Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 63, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]], [\"lying\", 4], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"<=>\", [\"lying\", 3], [\"tell... | {"split": "train", "index": 6731} |
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, Jack, Lucas, Aiden, Elizabeth, Lily, Benjamin, Victoria, and Sebastian. Henry asserted: \"if (Jack is a devil and Jack is an angel) then (Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 64, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 4], [\"telling-truth... | {"split": "train", "index": 6732} |
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: Jackson, Sophia, James, Lily, Owen, Matthew, Sebastian, Ava, and Aurora. In a statement by Jackson: \"(Owen is a devil or Lily is an angel) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 65, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 5]]], [\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7]], [\"or\", [\"lying\", 3], [\"telling-truth... | {"split": "train", "index": 6733} |
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: Olivia, Joseph, Jackson, Victoria, Michael, Emily, Harper, Henry, and Abigail. Olivia stated, \"if (if Jackson is a laggard then Harper is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 66, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"lying\", 6]], [\"telling-truth\", 4]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\"... | {"split": "train", "index": 6734} |
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, Avery, Aiden, Evelyn, Joseph, Benjamin, Chloe, Ava, and Liam. James commented, \"Evelyn is a fool\". \"(James is a sage) if and only if (Benjamin is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 67, \"statements\": [[\"lying\", 3], [\"<=>\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 5], [\"lying\", 7]]], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 2], [\"or\", [\"lying\", 0], [\"telling-truth\", 5]]],... | {"split": "train", "index": 6735} |
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, Victoria, Benjamin, Michael, Sofia, Mason, Owen, Joseph, and Grace. Sebastian asserted: \"if (if Michael is a sage then Grace is a fool) then Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 68, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"lying\", 3]], [\"lying\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 4]]], [\"or\", ... | {"split": "train", "index": 6736} |
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: Evelyn, Riley, Abigail, Mia, Harper, Noah, Zoey, Jacob, and David. In a statement by Evelyn: \"it is not the case that (Jacob is a sinner if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 69, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"or\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 4]]... | {"split": "train", "index": 6737} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jack, Evelyn, Isabella, Luke, Emma, Avery, Harper, Chloe, and Sophia. Jack noted, \"if Chloe is a pioneer then (Luke is a pioneer if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 70, \"statements\": [[\"->\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"<=>\", [\"and\", [\"lying\", 7], [\"lying\", 3]... | {"split": "train", "index": 6738} |
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: Amelia, Jack, Victoria, Joseph, Olivia, Avery, Chloe, Charlotte, and Henry. Amelia commented, \"(if Charlotte is an altruist then Chloe is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 71, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"lying\", 8], [\"lying\", 7], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 6739} |
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, Sophia, Liam, Elizabeth, Amelia, Samuel, James, Isabella, and Aria. Victoria commented, \"(Elizabeth is a laggard or Amelia is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 72, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling... | {"split": "train", "index": 6740} |
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, David, Victoria, Lucas, Riley, Olivia, Henry, Chloe, and Aiden. Zoey noted, \"(Chloe is a devil or Aiden is a devil) and (David is a devil or Luc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 73, \"statements\": [[\"and\", [\"or\", [\"lying\", 7], [\"lying\", 8]], [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 4], [\"not\", [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lyi... | {"split": "train", "index": 6741} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jacob, William, Joseph, Lucas, Olivia, Michael, Chloe, Sebastian, and Charlotte. Jacob said, \"(Chloe is a laggard) if and only if (William is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 74, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 1], [\"telling-truth\", 6]]], [\"telling-truth\", 7], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 8], [... | {"split": "train", "index": 6742} |
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, Victoria, Scarlett, Ethan, Joseph, Riley, Penelope, Lucas, and Lily. Luke was heard saying, \"Joseph is a saint\". Victoria said that (if Ethan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 75, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 6]]], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"te... | {"split": "train", "index": 6743} |
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: Aiden, Alexander, Jacob, Riley, Scarlett, Joseph, David, Penelope, and Zoey. \"if (Aiden is a knave) then (David is a knave and Riley is a knave)\" -... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 76, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 6], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]]]... | {"split": "train", "index": 6744} |
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: Isabella, Chloe, Evelyn, Oliver, Owen, Riley, Penelope, Benjamin, and David. \"(if Isabella is a sage then Oliver is a fool) if and only if Owen is a fool,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 77, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"->\", [\"lying\", 6], [\"lying\", 3]]], [\"<=>\", [\"lying\", 5], [\"lying\", 7]], [\"<=>\"... | {"split": "train", "index": 6745} |
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: Noah, Elizabeth, Scarlett, Ava, Alexander, Liam, Amelia, Sofia, and Grace. \"(Liam is an altruist or Ava is an altruist) and (Grace is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 78, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 6]], [\"lying\", 8]], [\"tellin... | {"split": "train", "index": 6746} |
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: David, Aiden, Zoey, Alexander, Riley, William, Charlotte, Owen, and Jackson. David stated, \"(William is an altruist) and (Owen is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 79, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 0], [\"lying\", 5... | {"split": "train", "index": 6747} |
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, Olivia, James, Harper, Riley, Ava, Jack, Samuel, and Zoey. Avery remarked, \"(Harper is an altruist or Olivia is an egoist) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 80, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"and\", [\"telling-trut... | {"split": "train", "index": 6748} |
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: Elizabeth, Zoey, Owen, Avery, Riley, Mia, Matthew, Grace, and Henry. \"(Mia is a saint) and (Zoey is a sinner),\" Elizabeth mentioned. \"if Mia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 81, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"lying\", 5], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"lying\", 6], [\"lying\", 4]]], [\"or... | {"split": "train", "index": 6749} |
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: Riley, Sofia, Sebastian, Luke, Alexander, Emma, Jack, Abigail, and Scarlett. Riley stated, \"it is not the case that (if Emma is a devil then Alexander... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 82, \"statements\": [[\"not\", [\"->\", [\"lying\", 5], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"lying\", 6], [\"lying\", 3]], [\"or... | {"split": "train", "index": 6750} |
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, Zoey, David, Alexander, Abigail, Luke, Ella, Sophia, and Aria. Penelope stated, \"(if Abigail is an altruist then Sophia is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 83, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"telling-truth\", 7]], [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"lying\"... | {"split": "train", "index": 6751} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Noah, Avery, Mia, Chloe, Oliver, Sophia, James, Emily, and Charlotte. According to Noah, \"(Mia is an angel and Emily is an angel) and (if Sophia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 84, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"->\", [\"lying\", 5], [\"lying\", 2]]], [\"not\", [\"telling-truth\", 7]], [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 7]], [\"or\"... | {"split": "train", "index": 6752} |
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: Aurora, Scarlett, Matthew, Lucas, Evelyn, Daniel, Sophia, William, and Logan. \"it is not the case that (Sophia is a devil if and only if Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 85, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"not\",... | {"split": "train", "index": 6753} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: James, Harper, Michael, Scarlett, Abigail, Daniel, Joseph, Isabella, and Henry. James said that (James is a hero if and only if Michael is a villain)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 86, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"->\", [\"o... | {"split": "train", "index": 6754} |
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, Evelyn, Ethan, James, Henry, Isabella, Alexander, William, and Oliver. Emma told you that (Oliver is a sinner) if and only if (Isabella is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 87, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"telling-truth\", 7], [\"not\", [\"not\", [\"lying\", 0]]], [\"not\", [\"not\", [\"lying\", 6]]], [... | {"split": "train", "index": 6755} |
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, Abigail, Noah, Aiden, Sebastian, Emma, Charlotte, Emily, and Amelia. Lily was heard saying, \"Emily is a knave\". In a statement by Abigail: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 88, \"statements\": [[\"lying\", 7], [\"->\", [\"and\", [\"lying\", 6], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", ... | {"split": "train", "index": 6756} |
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, Zoey, William, Lucas, Jack, Chloe, Joseph, Noah, and Olivia. Sophia expressed that (Lucas is a laggard) or (if Joseph is a laggard then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 89, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"lying\", 0], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"and\", [\"telling-truth\", 4],... | {"split": "train", "index": 6757} |
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: Aria, Aiden, Luke, Mia, Isabella, Mason, Benjamin, Logan, and Liam. Aria told you that Luke is a sinner. Aiden expressed that (Isabella is a saint if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 90, \"statements\": [[\"lying\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 5], [\"and\", [\"lying\", 0], [\"telling... | {"split": "train", "index": 6758} |
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: Abigail, Aria, Samuel, Scarlett, Chloe, Aurora, Sofia, Joseph, and David. Abigail told you that (Scarlett is a knight or Aurora is a knight) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 91, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"lying\", 7], [\"not\", [... | {"split": "train", "index": 6759} |
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: James, William, Avery, Elizabeth, Mia, Mason, Lily, Alexander, and Aiden. James told you that if (Mia is a saint or Mason is a sinner) then William i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 92, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 5]], [\"lying\", 1]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 7], [\"<=>\", ... | {"split": "train", "index": 6760} |
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, Daniel, David, Elizabeth, Emily, Zoey, Mason, Lucas, and Noah. Alexander expressed that if (Emily is an angel if and only if Mason is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 93, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 3]], [\"or\", [\"lying\", 5], [\"telli... | {"split": "train", "index": 6761} |
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: David, Jacob, Joseph, Elizabeth, Logan, Matthew, Jack, Lily, and William. David was heard saying, \"Lily is a devil\". \"Jack is a devil and (David is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 94, \"statements\": [[\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\", 6], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"lying\", 4], [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"telling-truth\", 3]],... | {"split": "train", "index": 6762} |
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, James, Scarlett, Charlotte, Ella, Logan, Ava, Lucas, and Michael. \"Lucas is a fool or (Logan is a sage and Lucas is a fool),\" Penelope declared... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 95, \"statements\": [[\"or\", [\"lying\", 7], [\"and\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"and\", [\"->\"... | {"split": "train", "index": 6763} |
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: Luke, Ethan, Scarlett, Harper, Elizabeth, Samuel, Oliver, Sofia, and Henry. In Luke's words: \"it is not the case that (if Elizabeth is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 96, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"lying\", 3], [\"<=>\", [\"<=>\", [\"lying\", ... | {"split": "train", "index": 6764} |
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: Liam, Luke, Sebastian, Michael, Charlotte, Sophia, Riley, Lucas, and Harper. Liam noted, \"it is not the case that (Lucas is an egoist or Harpe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 97, \"statements\": [[\"not\", [\"or\", [\"lying\", 7], [\"lying\", 8]]], [\"or\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-tru... | {"split": "train", "index": 6765} |
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: Aiden, Elizabeth, Jacob, Aurora, Ella, Oliver, William, Michael, and Henry. Aiden asserted: \"it is not the case that (Elizabeth is a hero if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 98, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"lying\", 2]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"lying\",... | {"split": "train", "index": 6766} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Amelia, Benjamin, Joseph, David, Henry, Lucas, Ethan, Luke, and Avery. As Amelia put it, \"David is a sinner\". \"David is a sinner,\" Benjamin menti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 99, \"statements\": [[\"lying\", 3], [\"lying\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 7], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lyin... | {"split": "train", "index": 6767} |
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, Jack, Henry, Grace, Luke, Sofia, Daniel, Ethan, and Oliver. According to Emily, \"if (Jack is an egoist) then (Grace is an egoist or Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 100, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"telling-truth\", 7], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"and\", [\"not... | {"split": "train", "index": 6768} |
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: Logan, James, Joseph, Jacob, Sophia, Oliver, Emily, Isabella, and Sofia. Logan stated, \"(Oliver is a sinner and Sophia is a saint) or (James is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 101, \"statements\": [[\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 8]... | {"split": "train", "index": 6769} |
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, Charlotte, Jack, Oliver, Isabella, Luke, James, William, and Owen. According to David, \"if (Jack is a hero if and only if Jack is a villain) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 102, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"lying\", 4]], [\"or\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 6770} |
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, Chloe, David, Noah, Sophia, Emma, Emily, Victoria, and Grace. Jackson noted, \"(Emma is an egoist if and only if Grace is an egoist) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 103, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 8]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 5]], [\"telling-truth\", 7], [\"not\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 6771} |
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, Victoria, Grace, Jackson, Ava, Riley, Aurora, Noah, and Charlotte. Zoey said that Zoey is a knight. \"if (Ava is a knight) then (Grace is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 104, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4]... | {"split": "train", "index": 6772} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lucas, Logan, Aiden, Matthew, Oliver, Samuel, Emily, Abigail, and Jackson. \"(Samuel is a pioneer) and Samuel is a laggard,\" Lucas mentioned. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 105, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"lying\", 5]], [\"or\", [\"lying\", 7], [\"telling-truth\", 4]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 8]], [\"->\", [\"telling-truth\", 4], [\"lying\", 7]... | {"split": "train", "index": 6773} |
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: Ethan, Aiden, Owen, Isabella, Lucas, Benjamin, Abigail, Sofia, and Luke. Ethan commented, \"if (Owen is a laggard if and only if Benjamin is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 106, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"lying\", 2], [\"lying\", 5]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 6], [\"lying\", 5... | {"split": "train", "index": 6774} |
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, Lucas, Mason, Sebastian, Ella, Grace, Amelia, Benjamin, and Luke. Matthew was heard saying, \"(Amelia is an altruist if and only if El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 107, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 6], ... | {"split": "train", "index": 6775} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ella, Sophia, Oliver, Emily, Sebastian, Jackson, Mason, Abigail, and Joseph. Ella said, \"if (Sebastian is an egoist and Mason is an egoist) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 108, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"lying\", 6]], [\"or\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 8]]], [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 1... | {"split": "train", "index": 6776} |
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, Aria, William, Chloe, Mia, Ava, Owen, David, and Elizabeth. Sophia said, \"Chloe is a knave.\" Aria noted, \"Owen is a knave or (Ava is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 109, \"statements\": [[\"lying\", 3], [\"or\", [\"lying\", 6], [\"not\", [\"lying\", 5]]], [\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 7]... | {"split": "train", "index": 6777} |
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: Logan, Mason, Oliver, Amelia, Jack, Isabella, Owen, Ava, and Emily. Logan asserted: \"(Mason is a saint if and only if Jack is a saint) and (Amelia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 110, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"->\", [\"not\", [\... | {"split": "train", "index": 6778} |
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: Mason, Charlotte, Noah, Joseph, Owen, Lily, Mia, Ethan, and William. Mason asserted: \"(William is a villain and Joseph is a hero) and (Ethan is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 111, \"statements\": [[\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 3]], [\"or\", [\"lying\", 7], [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"not\", [\"telling-truth\", 0... | {"split": "train", "index": 6779} |
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: Emma, Ethan, Zoey, Alexander, Mia, Noah, Emily, Ava, and Jackson. Emma asserted: \"(if Emily is a devil then Mia is an angel) and (Emma is an angel if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 112, \"statements\": [[\"and\", [\"->\", [\"lying\", 6], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 8]], [\"->\", [\"lying\", 5], ... | {"split": "train", "index": 6780} |
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, Daniel, Elizabeth, Luke, Alexander, Emma, Chloe, Mason, and Aria. Avery was heard saying, \"(if Emma is an angel then Daniel is a devil) or (Dan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 113, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telli... | {"split": "train", "index": 6781} |
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: Matthew, Sophia, Ethan, Avery, Oliver, Amelia, Ava, Lucas, and Aiden. As Matthew put it, \"(Matthew is a saint if and only if Ethan is a sinner) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 114, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 8], [... | {"split": "train", "index": 6782} |
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, Penelope, Harper, Ethan, Sophia, Mason, Riley, Henry, and Scarlett. Chloe stated, \"(if Riley is a hero then Mason is a hero) and (Mason is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 115, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"not\", [\"lying\", 5]]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 6783} |
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: Harper, Aria, Olivia, Joseph, Emma, Amelia, Alexander, David, and Penelope. Harper told you that Amelia is a hero if and only if (Emma is a hero or D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 116, \"statements\": [[\"<=>\", [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"lying\", 0], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 6]], [\"->\", [\"<=>\", ... | {"split": "train", "index": 6784} |
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: Logan, Elizabeth, Noah, Oliver, Henry, David, Mia, Charlotte, and Olivia. Logan told you that (Charlotte is a villain or Noah is a hero) or (Charlott... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 117, \"statements\": [[\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 2]], [\"not\", [\"lying\", 7]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 8]], [\"telling-truth\",... | {"split": "train", "index": 6785} |
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: Riley, Aiden, Samuel, Sofia, Lucas, Jacob, Grace, Michael, and Noah. As Riley put it, \"Samuel is a knight\". Aiden asserted: \"if Sofia is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 118, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"lying\", 3]], [\"lying\", 5], [\"<=>\", [\"<=>\", [\"te... | {"split": "train", "index": 6786} |
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, Chloe, Evelyn, Abigail, Sofia, Emma, Mia, James, and Joseph. \"(if Sofia is a villain then Chloe is a villain) and (Sofia is a villain and M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 119, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 5], [\"tell... | {"split": "train", "index": 6787} |
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: Sophia, Lucas, Harper, Michael, Amelia, Noah, Alexander, Daniel, and James. Sophia noted, \"(Michael is an angel or James is an angel) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 120, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 1]]], [\"lying\", 8], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 5], [... | {"split": "train", "index": 6788} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Liam, Sebastian, Benjamin, Ethan, Scarlett, Lily, David, Sophia, and William. \"David is a fool\" - Liam. Sebastian was heard saying, \"Ethan is a sage and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 121, \"statements\": [[\"lying\", 6], [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]], [\"<=>\", [\"lying\", 8], [\"tell... | {"split": "train", "index": 6789} |
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, Aria, Jackson, Emma, Jack, Penelope, Mason, Sofia, and Aurora. \"Jackson is a sage,\" Henry claimed. According to Aria, \"Jack is a fool\". Jackson ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 122, \"statements\": [[\"telling-truth\", 2], [\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 0], [\"and\",... | {"split": "train", "index": 6790} |
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, Ethan, Scarlett, Emily, Abigail, Charlotte, Grace, William, and Ava. Alexander remarked, \"(if William is an angel then Alexander is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 123, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"telling-truth\", 6], [\"->\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"<=>\", [\"and... | {"split": "train", "index": 6791} |
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: Evelyn, Ella, Liam, Mia, Luke, David, Aiden, Owen, and Matthew. Evelyn remarked, \"if (Ella is an egoist if and only if Mia is an egoist) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 124, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"or\", [\"lying\", 8], [\"and\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"->\", [\"or\", [\"ly... | {"split": "train", "index": 6792} |
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, Avery, Oliver, Zoey, Aiden, Sophia, Matthew, Harper, and Isabella. \"if (Victoria is a sage if and only if Oliver is a fool) then (if Aiden is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 125, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]]... | {"split": "train", "index": 6793} |
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, Owen, Sebastian, Charlotte, Evelyn, Ella, Michael, Alexander, and Olivia. \"Sebastian is a sage if and only if Penelope is a sage\" - Penelope. A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 126, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 3]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 5], [\"telling-tr... | {"split": "train", "index": 6794} |
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, Sophia, Noah, Mia, Olivia, Liam, Isabella, Ella, and Ethan. Joseph said, \"(Isabella is a laggard) and (if Sophia is a pioneer then Eth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 127, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 6795} |
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, Noah, Harper, Olivia, Abigail, Matthew, Liam, Elizabeth, and James. William told you that (William is a knave) or Elizabeth is a knight. In ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 128, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2], [\"lying\", 6]]], [\"not\", [\"telling-truth\", 3]], [\"lying\", 8], [\"not\... | {"split": "train", "index": 6796} |
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: Aria, Chloe, Ava, Michael, Jack, Emily, Henry, William, and Emma. \"Emily is a saint,\" Aria mentioned. \"(Aria is a saint if and only if Henry is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 129, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]], [\"and\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"lying\", 5], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 0]], ... | {"split": "train", "index": 6797} |
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: Michael, Ella, Henry, Chloe, Victoria, Amelia, Samuel, Zoey, and Charlotte. Michael said that if (if Michael is a knight then Zoey is a knave) then H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 130, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 7]], [\"telling-truth\", 2]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [... | {"split": "train", "index": 6798} |
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, Harper, Logan, Riley, Samuel, Matthew, Jackson, Charlotte, and Chloe. Victoria expressed that if (Charlotte is an altruist and Chloe ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 131, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 8]], [\"and\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"or\", [\"lying\", 5], [\"and\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"<=>\", [\"ly... | {"split": "train", "index": 6799} |
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