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: Sofia, Joseph, Oliver, Owen, Aria, Scarlett, Sophia, Penelope, and Henry. Sofia told you that Owen is an egoist. \"it is not the case that (Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1732, \"statements\": [[\"lying\", 3], [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 8]]], [\"lying\", 1], [\"telling-truth\", 8], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 0], ... | {"split": "train", "index": 8400} |
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: Sophia, Oliver, Evelyn, Avery, Amelia, Samuel, Mia, Isabella, and Owen. Sophia said that Evelyn is an altruist. Oliver stated, \"(Avery is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1733, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 3]], [\"and\", [\"t... | {"split": "train", "index": 8401} |
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, Aurora, Oliver, Chloe, Logan, Harper, Luke, Daniel, and Emily. \"(Oliver is a pioneer or Luke is a pioneer) and (Logan is a laggard),\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1734, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 0... | {"split": "train", "index": 8402} |
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: Isabella, Owen, Benjamin, Aurora, Aria, Jackson, Emma, Avery, and Abigail. Isabella stated, \"if (Avery is a hero) then (if Avery is a hero then Abig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1735, \"statements\": [[\"->\", [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"a... | {"split": "train", "index": 8403} |
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, Michael, Sebastian, Aria, Ethan, Avery, Isabella, Ella, and Benjamin. James told you that it is not the case that (if Ethan is a devil then Jame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1736, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 0]], [\"->\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 8404} |
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, Victoria, Lucas, Daniel, Sebastian, Sofia, Lily, Logan, and Penelope. According to Aiden, \"(Lucas is an angel) or (Lucas is a devil if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1737, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 6], [\"... | {"split": "train", "index": 8405} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Samuel, Jackson, Charlotte, Abigail, Liam, Oliver, Zoey, William, and Amelia. \"if (Samuel is a pioneer if and only if Abigail is a laggard) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1738, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"lying\", 8], [\"tel... | {"split": "train", "index": 8406} |
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: Aurora, Joseph, Zoey, Jack, Jacob, Michael, Ethan, Amelia, and Jackson. Aurora commented, \"(if Ethan is a hero then Zoey is a hero) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1739, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 3]... | {"split": "train", "index": 8407} |
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: Amelia, Alexander, Logan, Elizabeth, Ethan, Henry, Ella, Mason, and Aurora. Amelia asserted: \"Henry is a sage\". According to Alexander, \"(Ethan is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1740, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"not\", [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8]]], [\"and\", [\"l... | {"split": "train", "index": 8408} |
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, Mia, Isabella, James, Aria, Benjamin, Alexander, Amelia, and William. \"Aria is an egoist or Mia is an egoist\" - Lucas. Mia noted, \"(A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1741, \"statements\": [[\"or\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]], [\"lying\", 2]], [\"lying\", 3], [\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 8]], [\"lying... | {"split": "train", "index": 8409} |
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: Emily, Aurora, Amelia, Avery, Abigail, Aria, Grace, Zoey, and Ella. As Emily put it, \"Abigail is a sinner\". \"(if Emily is a sinner then Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1742, \"statements\": [[\"lying\", 4], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 6]], [\"lying\", 0]], [\"->\", [\"lying\", 1], [\"not\", [\"lying\", 5]]], [\"lying\", 0], [\"<=>\", [\"->\", [\"lying\", 8], [\"lyin... | {"split": "train", "index": 8410} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sophia, Scarlett, Isabella, Jackson, Jacob, Noah, Logan, James, and Samuel. \"Jackson is a sage\" - Sophia. Scarlett expressed that (Jacob is a sage) or (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1743, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"not\", [\"or\", [\... | {"split": "train", "index": 8411} |
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, Owen, Chloe, Lucas, Abigail, Lily, Michael, Scarlett, and Matthew. In a statement by Joseph: \"if (Chloe is an altruist or Owen is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1744, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"telli... | {"split": "train", "index": 8412} |
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: Samuel, Emma, Victoria, Ella, Scarlett, Emily, Joseph, Zoey, and Benjamin. \"if (Emily is a saint if and only if Zoey is a saint) then (Benjamin is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1745, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\"... | {"split": "train", "index": 8413} |
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: Elizabeth, Chloe, Lily, Lucas, Jacob, Zoey, Emma, Joseph, and Aiden. Elizabeth said that Zoey is an egoist. According to Chloe, \"(Lily is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1746, \"statements\": [[\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"telling-truth\", 1], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0... | {"split": "train", "index": 8414} |
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, Chloe, Jackson, Ethan, Sofia, Luke, Noah, Lily, and Benjamin. As Riley put it, \"Lily is a knave if and only if Sofia is a knight\". Chloe sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1747, \"statements\": [[\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 6], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 5], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\... | {"split": "train", "index": 8415} |
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: Liam, Charlotte, Aiden, Daniel, Elizabeth, Matthew, Harper, Benjamin, and Owen. Liam asserted: \"Aiden is a devil if and only if (Matthew is a devil if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1748, \"statements\": [[\"<=>\", [\"lying\", 2], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\... | {"split": "train", "index": 8416} |
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: Noah, Henry, Benjamin, Luke, Ella, Scarlett, Elizabeth, Samuel, and Michael. Noah told you that if Michael is a fool then (Noah is a sage or Michael is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1749, \"statements\": [[\"->\", [\"lying\", 8], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 8]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"or... | {"split": "train", "index": 8417} |
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, Emily, Samuel, Olivia, Oliver, Aria, David, Harper, and Lucas. Alexander said that if (Lucas is a saint and Harper is a sinner) then (Samu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1750, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 7]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\... | {"split": "train", "index": 8418} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Avery, Benjamin, Abigail, Victoria, Harper, Michael, James, Isabella, and Jacob. \"if Abigail is a pioneer then (Victoria is a laggard)\" - Ave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1751, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"->... | {"split": "train", "index": 8419} |
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, Emily, Isabella, Avery, Aria, Daniel, Scarlett, Logan, and Evelyn. In Olivia's words: \"(Evelyn is a laggard if and only if Avery is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1752, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 5], [\"telling-truth\", 8], [\"not\", [\"and\", [\"lying\", 0], [\"tell... | {"split": "train", "index": 8420} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Scarlett, Isabella, David, Benjamin, Aria, James, Liam, Charlotte, and Avery. Scarlett remarked, \"if (Avery is a sinner if and only if Charlotte is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1753, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 3], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 4... | {"split": "train", "index": 8421} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mia, Grace, Elizabeth, Oliver, Noah, Penelope, Matthew, Aria, and Emma. Mia stated, \"it is not the case that (Aria is an egoist)\". Grace comm... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1754, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-... | {"split": "train", "index": 8422} |
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, Sophia, Noah, Logan, Benjamin, Penelope, Samuel, Scarlett, and Ava. Aria told you that (Scarlett is an egoist or Benjamin is an altruist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1755, \"statements\": [[\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"lying\", 8], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"not... | {"split": "train", "index": 8423} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: David, Aurora, Penelope, Zoey, Lily, Ava, William, Isabella, and Olivia. As David put it, \"William is a fool\". Aurora said that (Olivia is a fool if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1756, \"statements\": [[\"not\", [\"telling-truth\", 6]], [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 5]], [\"and\", [\"lying\", 6], [\"lying\", 2]]], [\"telling-truth\", 5], [\"not\", [\"<=>\", [\"lying\", 5], [\"t... | {"split": "train", "index": 8424} |
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, Benjamin, Owen, Daniel, Abigail, Charlotte, Lily, Liam, and Amelia. According to Chloe, \"(Daniel is an angel if and only if Abigail is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1757, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"and\", [\"lying\", 0], [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"l... | {"split": "train", "index": 8425} |
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, Emily, Joseph, Sebastian, Oliver, William, Aurora, Jacob, and Emma. Avery said that (William is a devil) if and only if (Oliver is a devil). Emi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1758, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 6]], [\"not\... | {"split": "train", "index": 8426} |
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, Alexander, Isabella, Sophia, James, Harper, Charlotte, Mason, and Jackson. Samuel told you that it is not the case that (James is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1759, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 5]]], [\"or\", [\"telling-truth\", 0], [\"not\", [\"lying\", 0]]], [\"or\", [\"telling-truth\"... | {"split": "train", "index": 8427} |
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, Mason, Isabella, Riley, Sofia, Samuel, Evelyn, Lily, and Scarlett. Liam remarked, \"(Samuel is a laggard if and only if Riley is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1760, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"lying\", 3]]], [\"telling-truth\", 3], [... | {"split": "train", "index": 8428} |
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: Isabella, Mia, Ethan, Emily, Chloe, Penelope, David, Grace, and Oliver. Isabella was heard saying, \"Ethan is a saint if and only if Emily is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1761, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]], [\"telling-truth\", 2]], [\"not\", [\"not\", [\"lying\", 0]]], [\"telling-truth\", 5], [\"->... | {"split": "train", "index": 8429} |
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: Samuel, Ethan, Elizabeth, Harper, Emma, Mason, Lucas, Jacob, and Amelia. \"Jacob is a knight,\" Samuel mentioned. Ethan said, \"Amelia is a knave.\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1762, \"statements\": [[\"telling-truth\", 7], [\"lying\", 8], [\"not\", [\"lying\", 8]], [\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"lying\", 8], [\"lying\", 1], [\"telling-truth\",... | {"split": "train", "index": 8430} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: David, Liam, Lily, Riley, Jacob, Chloe, Aria, Henry, and Sofia. In a statement by David: \"(Chloe is a fool) or (if Lily is a sage then David is a sage)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1763, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 6], [\"or\", [\"telling-truth\", 5], [\"or\", [\... | {"split": "train", "index": 8431} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Scarlett, Oliver, Lily, Alexander, Lucas, Benjamin, Sophia, Aurora, and Charlotte. Scarlett asserted: \"if (Oliver is a laggard and Alexander i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1764, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"lying\", 4], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 2]], [\"not\", [\"tell... | {"split": "train", "index": 8432} |
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, Luke, Abigail, Scarlett, Joseph, Riley, Samuel, Grace, and Jackson. In a statement by Aiden: \"it is not the case that (Samuel is a knave if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1765, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"telling-truth\", 5], [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"<=>\", [\"... | {"split": "train", "index": 8433} |
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, Mason, Ava, James, Harper, Liam, Sophia, Emily, and Benjamin. William expressed that (Emily is a knave or Ava is a knave) if and only if Wil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1766, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 7], [\"lying\", 2]], [\"telling-truth\", 0]], [\"->\", [\"not\", [\"lying\", 8]], [\"or\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 8... | {"split": "train", "index": 8434} |
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: Lily, Logan, Victoria, Elizabeth, Jacob, Evelyn, Emily, Olivia, and Joseph. Lily stated, \"(if Joseph is an altruist then Emily is an egoist) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1767, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 6]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-tru... | {"split": "train", "index": 8435} |
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, Ella, Alexander, Mia, Mason, Samuel, Logan, Scarlett, and Aiden. In a statement by David: \"Aiden is a pioneer or (Scarlett is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1768, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"and\", [\"lying\", 7], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"<... | {"split": "train", "index": 8436} |
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, Riley, Lucas, Avery, Lily, Abigail, Matthew, David, and Logan. As Henry put it, \"(Matthew is a pioneer if and only if Riley is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1769, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]], [\"->\", [\"lyi... | {"split": "train", "index": 8437} |
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, Michael, Jack, Charlotte, Grace, Noah, Joseph, Jacob, and Samuel. Luke said that Samuel is a hero. In a statement by Michael: \"(Michael is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1770, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"lying\", 0]], [\"and\", [\"lying\", ... | {"split": "train", "index": 8438} |
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, Ava, Chloe, Jacob, Luke, Aiden, Aria, Jack, and Logan. Henry was heard saying, \"Chloe is a laggard\". Ava noted, \"it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1771, \"statements\": [[\"lying\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 6]]], [\"and\", [\"telling-truth\", 4], [\"or\", [\... | {"split": "train", "index": 8439} |
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, Benjamin, Lucas, Mia, Liam, Michael, Jackson, Lily, and Aurora. Henry expressed that if Jackson is a pioneer then (Aurora is a laggard o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1772, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"or\", [\"lying\", 8], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"telling-truth\", 6], [\"lying\", 7], [\"lying\", 0], [\"not\",... | {"split": "train", "index": 8440} |
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: Ella, Jack, Penelope, Jackson, Avery, Riley, Samuel, Ethan, and Alexander. Ella expressed that Riley is a sinner. In a statement by Jack: \"if (Jacks... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1773, \"statements\": [[\"lying\", 5], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 5], ... | {"split": "train", "index": 8441} |
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, Benjamin, Alexander, Grace, Riley, Penelope, Lily, Oliver, and Victoria. Ethan noted, \"Alexander is a sage\". Benjamin asserted: \"(Lily is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1774, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 7], [\"lying\", 6]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]... | {"split": "train", "index": 8442} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Chloe, Daniel, Grace, Charlotte, Henry, Harper, Aria, Jacob, and Jack. Chloe expressed that Jack is an egoist. \"(Aria is an egoist) or (Grace ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1775, \"statements\": [[\"lying\", 8], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"and\", [\"lying\", 2], [\"lying\", 8]]], [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"telling-truth\", 2], [\"<=>\", [\"n... | {"split": "train", "index": 8443} |
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: Amelia, Alexander, Abigail, Jacob, Elizabeth, Liam, Sofia, Aiden, and Riley. Amelia said that Sofia is a sage or (if Elizabeth is a fool then Liam is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1776, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"->\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"telling-truth\", 7], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"not\", [\"<=>\", [\"te... | {"split": "train", "index": 8444} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Avery, Mia, Lily, Scarlett, Logan, Aiden, Michael, Emma, and Charlotte. Avery noted, \"Scarlett is a pioneer if and only if (if Charlotte is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1777, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"->\", [\"->... | {"split": "train", "index": 8445} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Penelope, Ava, Harper, Victoria, Henry, Daniel, Ella, Zoey, and Sofia. \"Sofia is a knight\" - Penelope. In a statement by Ava: \"Harper is a knave o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1778, \"statements\": [[\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 2], [\"lying\", 8]], [\"lying\", 0], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"not\", [\"<... | {"split": "train", "index": 8446} |
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: Emma, Sophia, Ava, Daniel, Jack, Sebastian, Oliver, Alexander, and Charlotte. Emma was heard saying, \"Charlotte is a knave and (if Daniel is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1779, \"statements\": [[\"and\", [\"lying\", 8], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]]... | {"split": "train", "index": 8447} |
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, Aria, Logan, Daniel, Mia, Michael, Lily, Sebastian, and Grace. In a statement by Emma: \"(if Lily is a fool then Daniel is a sage) or (Emma is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1780, \"statements\": [[\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4... | {"split": "train", "index": 8448} |
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, Aria, Victoria, Jackson, Olivia, Avery, Luke, Henry, and Evelyn. Penelope expressed that if (if Aria is a fool then Victoria is a sage) then (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1781, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], ... | {"split": "train", "index": 8449} |
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: Jacob, Sofia, Joseph, Oliver, David, Michael, Owen, Emily, and Sophia. Jacob noted, \"(Emily is a knight or Joseph is a knight) or Jacob is a knight\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1782, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"telling-truth\", 5]], [\"or\", [\"and\", [\"telling-trut... | {"split": "train", "index": 8450} |
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, Jack, Luke, Abigail, James, Sebastian, Daniel, Grace, and Aiden. Lily commented, \"if Aiden is a saint then (Grace is a saint or Lily is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1783, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 4], [\"tellin... | {"split": "train", "index": 8451} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Penelope, Olivia, Mason, Emily, Matthew, Henry, Aria, Chloe, and Aiden. In a statement by Penelope: \"Chloe is a knave\". Olivia told you that (Penel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1784, \"statements\": [[\"lying\", 7], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 8]], [\"or\... | {"split": "train", "index": 8452} |
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, Grace, Zoey, Jack, Sofia, Lily, Oliver, Abigail, and Aria. As Daniel put it, \"(Jack is a knave if and only if Aria is a knave) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1785, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 7], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\... | {"split": "train", "index": 8453} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Matthew, Avery, Joseph, James, William, Noah, Aurora, Charlotte, and Jackson. In a statement by Matthew: \"Joseph is a pioneer and (Avery is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1786, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 8]]], [\"->\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 8454} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Oliver, Evelyn, Aria, Emma, Daniel, Ethan, Riley, Owen, and Aurora. In a statement by Oliver: \"(Emma is a knave or Aurora is a knight) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1787, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8]], [\"or\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"an... | {"split": "train", "index": 8455} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Logan, Ethan, Victoria, Avery, Aiden, Mason, Charlotte, Daniel, and Sebastian. In a statement by Logan: \"Charlotte is a pioneer\". Ethan state... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1788, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 1], [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 0]], [\"not\... | {"split": "train", "index": 8456} |
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, Michael, Penelope, Ethan, David, Isabella, Owen, Alexander, and Logan. Emily expressed that (if Michael is a fool then Owen is a fool) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1789, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 6]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"lying\", 8]], [\"->\", [\"<=>... | {"split": "train", "index": 8457} |
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: Olivia, Emily, Mia, Luke, Evelyn, Alexander, Emma, Avery, and Charlotte. Olivia expressed that Alexander is a sage if and only if (Alexander is a sage if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1790, \"statements\": [[\"<=>\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 2], [\"tell... | {"split": "train", "index": 8458} |
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: Jackson, Sebastian, Chloe, Amelia, Ella, Evelyn, Abigail, Olivia, and Zoey. According to Jackson, \"if (Sebastian is a fool and Olivia is a sage) then (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1791, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling... | {"split": "train", "index": 8459} |
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: Michael, Liam, Avery, Alexander, Samuel, Mia, Sebastian, Grace, and Ava. \"it is not the case that (Grace is a sinner and Avery is a saint),\" Michae... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1792, \"statements\": [[\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"or\", [\"lying\", 2], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"t... | {"split": "train", "index": 8460} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Zoey, Aria, Mia, William, Victoria, Sebastian, Elizabeth, Penelope, and Aiden. Zoey commented, \"(William is a sinner) and (Mia is a sinner and Aiden... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1793, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 8]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"and\", [\"telling-trut... | {"split": "train", "index": 8461} |
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: Matthew, Grace, Liam, David, Jackson, Abigail, Evelyn, Sebastian, and Joseph. In a statement by Matthew: \"if (if Matthew is a knight then Liam is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1794, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]... | {"split": "train", "index": 8462} |
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, Chloe, Isabella, Alexander, Jackson, Emma, Sophia, Elizabeth, and Lily. Aurora said, \"if (Isabella is an egoist if and only if Lily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1795, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 6], [\"->\", [\"lying\", 5], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"->\... | {"split": "train", "index": 8463} |
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: Michael, Benjamin, Emily, Joseph, Jacob, Chloe, Owen, Jack, and Isabella. Michael told you that if (Owen is a sinner if and only if Jack is a saint) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1796, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"telling-truth\", 4], [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]]]... | {"split": "train", "index": 8464} |
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, Chloe, Riley, Sophia, Penelope, Owen, Grace, Jackson, and Emma. Elizabeth remarked, \"if (Elizabeth is a saint or Jackson is a saint) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1797, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"->\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]... | {"split": "train", "index": 8465} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Harper, Aria, Avery, Lily, Emily, Daniel, Charlotte, Luke, and Sebastian. Harper was heard saying, \"(Aria is a devil and Aria is an angel) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1798, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 8]]], [\"and\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"and\", [\"->\", [\... | {"split": "train", "index": 8466} |
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, Emily, Zoey, Amelia, Samuel, Aiden, Luke, and James. In Alexander's words: \"(James is an angel if and only if Ethan is a devil) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1799, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]], [\"->\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"telling-truth\", 6]... | {"split": "train", "index": 8467} |
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, Ava, Emily, Aurora, Olivia, Daniel, Logan, Scarlett, and James. Lucas said, \"it is not the case that (Scarlett is an altruist and Ava i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1800, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 8], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"tellin... | {"split": "train", "index": 8468} |
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: Sofia, Penelope, Scarlett, Luke, Jacob, Sophia, Liam, Riley, and Abigail. \"Penelope is a saint and (Penelope is a saint and Liam is a sinner)\" - So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1801, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"or\", [\"not\", [\"lying\", 5]], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\... | {"split": "train", "index": 8469} |
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: Aiden, James, Benjamin, Aurora, Abigail, Ethan, Victoria, Sofia, and Emily. Aiden said, \"(if Benjamin is a sinner then Aurora is a sinner) and (Vict... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1802, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"and\", [\"lying\", 2], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"and\", [\... | {"split": "train", "index": 8470} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Joseph, Amelia, Zoey, Penelope, Abigail, Riley, Mia, David, and Ella. \"David is a hero,\" Joseph claimed. Amelia asserted: \"(Zoey is a villain and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1803, \"statements\": [[\"not\", [\"lying\", 7]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 7]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\",... | {"split": "train", "index": 8471} |
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, James, Isabella, Aiden, Scarlett, Riley, Liam, and Victoria. \"(Mason is a saint or Liam is a sinner) if and only if (James is a saint)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1804, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 7]], [\"not\", [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 5]], [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"not\", [\... | {"split": "train", "index": 8472} |
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: Jacob, Luke, Daniel, Benjamin, Mia, Liam, Avery, Matthew, and Mason. Jacob expressed that if (Avery is a villain and Mia is a hero) then Matthew is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1805, \"statements\": [[\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 4]], [\"telling-truth\", 7]], [\"telling-truth\", 2], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 6]], [\"->\", [\"lying\", 1], [\"telli... | {"split": "train", "index": 8473} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sophia, Zoey, Oliver, Isabella, Noah, Luke, Victoria, Jack, and Ava. \"Noah is a fool,\" Sophia claimed. According to Zoey, \"Noah is a sage\". Oliver told... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1806, \"statements\": [[\"lying\", 4], [\"telling-truth\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"and\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"<=>\", [\"->\", [... | {"split": "train", "index": 8474} |
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: Benjamin, Jacob, Aiden, Sofia, Olivia, Oliver, Aurora, Scarlett, and Mia. Benjamin was heard saying, \"(Jacob is a saint if and only if Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1807, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 7]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"lying\", 0]], [\"<=>\", [\"-... | {"split": "train", "index": 8475} |
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: Jack, Riley, Ethan, Oliver, Mia, Grace, Owen, Emily, and Avery. Jack noted, \"(Mia is an angel and Oliver is an angel) or (Owen is an angel or Mia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1808, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]], [\"and\", [\"ly... | {"split": "train", "index": 8476} |
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, Oliver, Aria, Ava, Penelope, Emma, Victoria, Matthew, and Liam. Jackson noted, \"(if Victoria is a devil then Victoria is an angel) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1809, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 6]], [\"telling-truth\", 8]], [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 5]], [\"lying\", 3]], [\"not\", [\"and\", [\"lying\", 7], [\"te... | {"split": "train", "index": 8477} |
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: Jacob, Logan, Olivia, Aurora, Daniel, Lily, David, Riley, and Aiden. \"it is not the case that (Aiden is an altruist if and only if Olivia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1810, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"lying\", 7], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"telling... | {"split": "train", "index": 8478} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Owen, Chloe, Michael, Ethan, Liam, Penelope, Mason, Sophia, and Henry. Owen noted, \"(Ethan is a saint if and only if Chloe is a sinner) or (Liam is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1811, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 8], [\"lying\", 7]], [\"and\", [\"lying\", 8], [\"lying\", 6]]], [\"... | {"split": "train", "index": 8479} |
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, Elizabeth, Riley, Joseph, Emma, Victoria, Jack, Oliver, and Olivia. According to Luke, \"Jack is a knight\". Elizabeth commented, \"(Elizabeth ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1812, \"statements\": [[\"not\", [\"lying\", 6]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 5]]], [\"lying\", 3], [\"and\", [\"and\", [\"lying\", 6], [\"telling-... | {"split": "train", "index": 8480} |
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: William, Ella, James, Michael, Noah, Grace, Samuel, Charlotte, and Henry. William commented, \"Grace is a sinner\". According to Ella, \"(Samuel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1813, \"statements\": [[\"lying\", 5], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"lying\", 8], [\"->\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-t... | {"split": "train", "index": 8481} |
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: Henry, Scarlett, Sebastian, Benjamin, Logan, Jack, Sofia, Olivia, and Lucas. \"(Henry is an altruist and Lucas is an altruist) or (Sebastian is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1814, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"and\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"lying\", 5], [\... | {"split": "train", "index": 8482} |
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, Grace, Amelia, Abigail, Evelyn, Aurora, Sebastian, Jackson, and James. Luke stated, \"if (Amelia is a knight if and only if Grace is a knave) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1815, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"telling-truth\", 3], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\",... | {"split": "train", "index": 8483} |
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: William, Abigail, Matthew, Sebastian, Aiden, Lucas, Aurora, Michael, and Avery. \"(if Lucas is a fool then Abigail is a fool) and (if Abigail is a sage the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1816, \"statements\": [[\"and\", [\"->\", [\"lying\", 5], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"or\", [\"telling-truth\", 0], [\"lying\", 5]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"telli... | {"split": "train", "index": 8484} |
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: Isabella, Michael, Liam, Penelope, Logan, Ethan, Luke, Mason, and Jack. As Isabella put it, \"Ethan is a hero\". According to Michael, \"(Penelope is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1817, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 5]], [\"<=>\", [\"telling-tr... | {"split": "train", "index": 8485} |
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, Emily, Scarlett, Harper, Jacob, Charlotte, Mason, Lucas, and Riley. \"(if Mason is an egoist then Charlotte is an egoist) and (Riley is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1818, \"statements\": [[\"and\", [\"->\", [\"lying\", 6], [\"lying\", 5]], [\"or\", [\"lying\", 8], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 3], [\... | {"split": "train", "index": 8486} |
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, Lucas, Jackson, Sebastian, Alexander, Evelyn, Sofia, Grace, and Aurora. Jack told you that (Grace is a sage and Sebastian is a fool) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1819, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 3]], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0... | {"split": "train", "index": 8487} |
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: Noah, Ava, Scarlett, Sophia, Aurora, Elizabeth, Luke, Mason, and Oliver. Noah expressed that (if Aurora is a villain then Luke is a hero) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1820, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"tel... | {"split": "train", "index": 8488} |
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: Aurora, Lucas, Luke, Emily, Aria, Harper, Olivia, Avery, and Emma. \"Lucas is a laggard,\" Aurora mentioned. Lucas stated, \"(Emily is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1821, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"telling-truth\", 3], [\"telling-t... | {"split": "train", "index": 8489} |
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, William, Charlotte, Oliver, Owen, Lucas, Evelyn, Lily, and Joseph. \"it is not the case that (Charlotte is a fool and Samuel is a sage),\" Samuel c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1822, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 6], [\"lying\"... | {"split": "train", "index": 8490} |
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, Michael, Samuel, Ella, Ava, Harper, David, Aria, and Matthew. Avery commented, \"(David is an angel if and only if Matthew is a devil) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1823, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]], [\"or\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 8491} |
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, Zoey, Chloe, Lily, Ava, David, Daniel, Jacob, and Evelyn. Emma said that if (David is a fool or Ava is a fool) then (Emma is a sage if and only if Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1824, \"statements\": [[\"->\", [\"or\", [\"lying\", 5], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 8], [\"lyi... | {"split": "train", "index": 8492} |
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: Owen, Sophia, David, Benjamin, Henry, Penelope, Joseph, Ethan, and Oliver. \"Benjamin is a devil,\" Owen mentioned. In Sophia's words: \"(Ethan is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1825, \"statements\": [[\"lying\", 3], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 5]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 8493} |
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, Jack, David, Olivia, Oliver, Penelope, Zoey, Charlotte, and Isabella. According to James, \"Oliver is a hero\". Jack asserted: \"Zoey is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1826, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"telling-truth\", 6]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"telling-truth\", 5]], [\"lying\", 7], [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\"... | {"split": "train", "index": 8494} |
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, Sebastian, Michael, Emma, Olivia, Aurora, Abigail, Sophia, and Ella. Mia commented, \"(Sophia is a laggard or Michael is a pioneer) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1827, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"or\", [\"tell... | {"split": "train", "index": 8495} |
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, Sebastian, David, Oliver, Abigail, Scarlett, Luke, Aiden, and Zoey. According to Jack, \"(Scarlett is a sage if and only if Scarlett is a fool) or (Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1828, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]], [\"<=>\", [\"lying\", 8], [\"lying\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"lying\", 0], [\"lying\", 2]]], [\"not\", ... | {"split": "train", "index": 8496} |
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, Aurora, Emma, Aria, David, Harper, Benjamin, William, and Amelia. \"if (Amelia is a sage) then (David is a fool if and only if Harper is a fool),... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1829, \"statements\": [[\"->\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"lying\", 4], [\"lying\", 5]]], [\"<=>\", [\"not\", [\"lying\", 8]], [\"not\", [\"lying\", 6]]], [\"and\", [\"lying\", 1], [\"and\", [\"telling-truth\", 1]... | {"split": "train", "index": 8497} |
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, Abigail, Owen, Aurora, Sophia, Penelope, Benjamin, Emily, and Logan. William expressed that Logan is an angel if and only if (Abigail is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1830, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 6], [\"telling-trut... | {"split": "train", "index": 8498} |
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: Lucas, Riley, Evelyn, James, Aiden, Scarlett, Oliver, Sebastian, and Charlotte. Lucas commented, \"if (Riley is a knave or Evelyn is a knave) then (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1831, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"lying\", 0]], [\"<=>\", [\"lying\", 3], [\"or\", [\"telling-... | {"split": "train", "index": 8499} |
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