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: David, Harper, Ethan, Penelope, Emma, Oliver, Ella, Jacob, and Daniel. David expressed that Emma is an egoist. Harper said, \"(Penelope is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 10, \"statements\": [[\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 5],... | {"split": "train", "index": 8900} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Avery, William, Harper, Chloe, Mia, Luke, Evelyn, Jacob, and Emily. Avery noted, \"(Jacob is a knight or Chloe is a knight or Mia is a knight) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 11, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"->\", [\"or\", [\"telling-tr... | {"split": "train", "index": 8901} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Alexander, Sebastian, Ava, Mason, Noah, Chloe, Scarlett, Jackson, and James. Alexander asserted: \"if (Alexander is a villain) then (Jackson is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 12, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 7]]], [\"lying\", 3], [\"lying\", 0], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"lying\", 6], [\"<=>\", [\"and\", [\"... | {"split": "train", "index": 8902} |
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, Victoria, Samuel, Joseph, Charlotte, Zoey, Jackson, David, and Benjamin. Amelia remarked, \"(if Joseph is an egoist then David is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 13, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 7]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8], [\"telling-truth\", 2]], [\... | {"split": "train", "index": 8903} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Grace, Zoey, Mia, Elizabeth, Daniel, Alexander, Oliver, Owen, and James. Grace stated, \"James is a knave\". \"(Mia is a knight if and only if James ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 14, \"statements\": [[\"lying\", 8], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"and\", [\"lying\", 3], [\"telling-truth\", 7], [\"telling-truth\", ... | {"split": "train", "index": 8904} |
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, Aurora, Victoria, David, Aiden, Abigail, Lucas, Alexander, and Sophia. As Emma put it, \"(Abigail is a sage or Aiden is a fool or Sophia is a sage) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 15, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 4], [\"telling-truth\", 8]], [\"lying\", 4]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 4]]], [\"lying\", 8], [\"... | {"split": "train", "index": 8905} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Mason, Lily, Luke, Henry, Samuel, David, Michael, Olivia, and Alexander. \"(Michael is an angel) and (Olivia is a devil) and (Samuel is a devil),\" Mas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 16, \"statements\": [[\"and\", [\"not\", [\"lying\", 6]], [\"not\", [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"ly... | {"split": "train", "index": 8906} |
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, Sebastian, Jackson, Harper, Aiden, David, Penelope, Jacob, and Ava. Ella said, \"David is an egoist and (Sebastian is an egoist if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 17, \"statements\": [[\"and\", [\"lying\", 5], [\"<=>\", [\"lying\", 1], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 0]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"->\", [\"lyin... | {"split": "train", "index": 8907} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emma, William, Sophia, Riley, Aiden, Grace, Jackson, Avery, and David. In a statement by Emma: \"(if Sophia is a pioneer then Riley is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 18, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 8], [\"telling-truth\", 7]], [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 6], [\"lying\", 2]]], ... | {"split": "train", "index": 8908} |
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: Abigail, Jackson, Mason, Grace, Sofia, Liam, Jacob, Isabella, and Ava. \"Mason is a sage,\" Abigail declared. \"it is not the case that (Ava is a fool)\" -... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 19, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 5], [\"lying\", 7]], [\"<=>\", [\"lying\", 5], [\"lying\", 6]... | {"split": "train", "index": 8909} |
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, Mia, Henry, Lucas, Logan, Liam, Emma, Scarlett, and Riley. Jackson said that (Mia is a knight and Emma is a knight and Henry is a knave) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 20, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"lying\", 2]], [\"->\", [\"telling-truth\", 8], [\"lying\", 5]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5], [\"telling-t... | {"split": "train", "index": 8910} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Mason, Ava, Jacob, Aria, Benjamin, Mia, David, Daniel, and Owen. Mason told you that (Jacob is an angel and Aria is a devil and Ava is a devil) and (Ar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 21, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"or\", [\"lying\", 6], [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"lying\"... | {"split": "train", "index": 8911} |
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: Ethan, Sofia, Oliver, Alexander, Samuel, Matthew, Aurora, Noah, and Evelyn. \"it is not the case that (Matthew is an egoist and Samuel is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 22, \"statements\": [[\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7... | {"split": "train", "index": 8912} |
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: Mason, Harper, Evelyn, Amelia, Sofia, Alexander, Olivia, Daniel, and Henry. \"Olivia is a fool,\" Mason mentioned. As Harper put it, \"Amelia is a fool\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 23, \"statements\": [[\"lying\", 6], [\"lying\", 3], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 1]], [\"lying\", 3]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling... | {"split": "train", "index": 8913} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Riley, Scarlett, Jackson, Ava, Samuel, Mia, Logan, Penelope, and Jacob. Riley asserted: \"(Scarlett is a laggard or Mia is a laggard) and (Scar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 24, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"lying\", 5]], [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6],... | {"split": "train", "index": 8914} |
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, Ella, Avery, Lucas, Henry, Charlotte, Sebastian, Alexander, and Lily. \"(if Alexander is a laggard then Owen is a pioneer) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 25, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 7], [\"telling-truth\", 0]], [\"telling-truth\", 6]], [\"not\", [\"lying\", 8]], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"and\", [\"telling-trut... | {"split": "train", "index": 8915} |
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, Logan, Oliver, Ava, David, Henry, Chloe, Aiden, and Isabella. Owen said, \"(Owen is a pioneer or Logan is a laggard) and (Isabella is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 26, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-tru... | {"split": "train", "index": 8916} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Amelia, Evelyn, Oliver, Lucas, James, Penelope, Matthew, Sofia, and Joseph. Amelia commented, \"(Oliver is an angel) if and only if (Oliver is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 27, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 8917} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Noah, Aurora, Riley, Charlotte, Isabella, Ella, Zoey, Abigail, and William. Noah noted, \"(Abigail is a saint and Riley is a saint and William is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 28, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"... | {"split": "train", "index": 8918} |
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, Aiden, Lucas, Michael, Charlotte, Liam, Mia, Penelope, and Amelia. In Scarlett's words: \"Aiden is a laggard\". Aiden commented, \"(S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 29, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 8]], [\"not\", [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 1]]], [\"lying\", 2], [\"or\", [\"or\", [\"tellin... | {"split": "train", "index": 8919} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Charlotte, Matthew, Ella, Daniel, Grace, Harper, Sebastian, Noah, and Sofia. Charlotte was heard saying, \"it is not the case that (if Grace is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 30, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"telling-truth\", 8], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]],... | {"split": "train", "index": 8920} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Lucas, David, Aurora, Ava, Jacob, Isabella, Sophia, Lily, and Charlotte. Lucas commented, \"Lily is a sinner\". David commented, \"(Lily is a sinner ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 31, \"statements\": [[\"lying\", 7], [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-... | {"split": "train", "index": 8921} |
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, Avery, Michael, Mason, Harper, Noah, Ethan, Zoey, and Isabella. Alexander remarked, \"(Noah is a sinner and Zoey is a saint) and Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 32, \"statements\": [[\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7]], [\"lying\", 6], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 6], ... | {"split": "train", "index": 8922} |
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: Scarlett, Emily, Ella, Mason, Ava, Harper, David, Grace, and Sophia. \"it is not the case that (if Grace is an egoist then Grace is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 33, \"statements\": [[\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"and\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"telling-truth\", 5], [\"not\", [\"not\", [\"... | {"split": "train", "index": 8923} |
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: Zoey, Aurora, Ella, Mia, Riley, Logan, Isabella, Samuel, and Henry. Zoey said, \"it is not the case that (Samuel is an egoist).\" \"(Logan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 34, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"l... | {"split": "train", "index": 8924} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Abigail, Sophia, Grace, Amelia, Lily, Noah, Joseph, Charlotte, and Aiden. Abigail said that Charlotte is a sinner and (Lily is a sinner and Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 35, \"statements\": [[\"and\", [\"lying\", 7], [\"and\", [\"lying\", 4], [\"telling-truth\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4]... | {"split": "train", "index": 8925} |
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, Isabella, Sophia, Olivia, Penelope, Scarlett, Evelyn, Mason, and Lucas. Sofia was heard saying, \"Sophia is a saint\". Isabella remarked, \"if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 36, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 5], [\"lying\", 0]]], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 4], [\"lying\"... | {"split": "train", "index": 8926} |
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, Mason, Owen, Samuel, Elizabeth, Benjamin, Jackson, Abigail, and David. Harper said, \"Elizabeth is a villain.\" Mason remarked, \"(Benjamin i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 37, \"statements\": [[\"lying\", 4], [\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 7], [\"lying\", 8]], [\"->\", [\"lying\", 8], [\"lying\", 5]]], [\"not\", [\"not\", [\"lying\", 6]]... | {"split": "train", "index": 8927} |
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, Jack, Jackson, Victoria, Evelyn, Chloe, Alexander, Harper, and Sofia. \"if (Evelyn is a sage or Jackson is a fool or Chloe is a sage) then (Chloe is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 38, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 5], [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"<=>\", [\"and\... | {"split": "train", "index": 8928} |
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, Zoey, Henry, Alexander, Grace, Samuel, Mia, Joseph, and Lily. In a statement by Penelope: \"it is not the case that (Henry is a knave and J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 39, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 0]], [\"or... | {"split": "train", "index": 8929} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Noah, William, Aurora, Alexander, Mason, Evelyn, Jacob, Samuel, and Jackson. Noah expressed that Aurora is a sinner and (Alexander is a saint and Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 40, \"statements\": [[\"and\", [\"lying\", 2], [\"and\", [\"telling-truth\", 3], [\"lying\", 6]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"tellin... | {"split": "train", "index": 8930} |
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, Daniel, Joseph, Sebastian, Penelope, Sophia, Emily, Owen, and Evelyn. \"(Sebastian is an altruist or Penelope is an egoist) or (Emily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 41, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 6], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lyin... | {"split": "train", "index": 8931} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Harper, Sophia, Jacob, Ava, Jackson, Matthew, James, Sofia, and Oliver. Harper asserted: \"(Sofia is a sinner if and only if Oliver is a saint) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 42, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]], [\"not\", [\"lying\", 6]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"telling-truth\", 0], [\"tel... | {"split": "train", "index": 8932} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Logan, Benjamin, Sebastian, Aria, Jacob, Riley, Sophia, William, and Avery. Logan commented, \"it is not the case that (Riley is an angel if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 43, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"telling-truth\", 4], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 0]]], [\"or\", [\"->\", [\"lying\", 7], [\"telling-truth... | {"split": "train", "index": 8933} |
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, Penelope, Oliver, Sebastian, Mia, Ava, Matthew, Avery, and Owen. Jackson expressed that (Mia is an angel or Mia is a devil or Jackson is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 44, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 6]]], [\"... | {"split": "train", "index": 8934} |
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, Olivia, Isabella, Aurora, Henry, Sofia, Elizabeth, Jackson, and Amelia. Samuel said that (Sofia is a saint and Isabella is a saint) or (Olivi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 45, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 7]], [\"telling-truth\", 8]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\... | {"split": "train", "index": 8935} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Michael, Sofia, Charlotte, Aurora, Riley, Evelyn, Harper, Daniel, and Chloe. As Michael put it, \"(if Michael is an altruist then Daniel is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 46, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 7]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 7], [\"telling-truth\", 1]], [\"or\", [\"lying\", 5], ... | {"split": "train", "index": 8936} |
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: Jackson, Grace, Scarlett, Daniel, Abigail, Logan, Avery, Alexander, and Charlotte. Jackson stated, \"(Charlotte is a pioneer) and Abigail is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 47, \"statements\": [[\"and\", [\"not\", [\"lying\", 8]], [\"lying\", 4]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", ... | {"split": "train", "index": 8937} |
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, Ethan, Owen, Penelope, Victoria, Benjamin, Ava, Henry, and Liam. In Lily's words: \"Ava is a knight\". Ethan expressed that Henry is a knave an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 48, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"lying\", 7], [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 4]]], ... | {"split": "train", "index": 8938} |
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, Olivia, Ava, Ethan, Logan, Grace, Owen, Joseph, and Jack. In a statement by Luke: \"(Grace is a knave if and only if Owen is a knight) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 49, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6], [\"lying\", 6]]], [\"or\", [\"not\", [\"lying\", 8]], [\"or\", [\"telling-truth\", 3], ... | {"split": "train", "index": 8939} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sophia, Evelyn, Jacob, William, Isabella, Matthew, Aria, Samuel, and Victoria. Sophia said, \"if (Jacob is a sinner) then Evelyn is a saint.\" \"Soph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 50, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"lying\", 8], [\"lying\", 5]], [\"not\", [\"lying\", 7]]], [\"or\", [\"<=>\", [\... | {"split": "train", "index": 8940} |
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: Logan, Aiden, Liam, Noah, Jacob, Penelope, William, Sebastian, and Lucas. \"Jacob is a knave or (if Noah is a knave then Sebastian is a knave) or (No... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 51, \"statements\": [[\"or\", [\"lying\", 4], [\"->\", [\"lying\", 3], [\"lying\", 7]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"l... | {"split": "train", "index": 8941} |
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, Sophia, Owen, Lucas, Mason, James, Ava, Joseph, and Daniel. \"it is not the case that (if James is a fool then Mason is a sage),\" Noah mentioned. Ac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 52, \"statements\": [[\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"or\", [\"or\", [\"tell... | {"split": "train", "index": 8942} |
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, Olivia, Scarlett, Daniel, Luke, Abigail, Jackson, Penelope, and David. \"(if David is a pioneer then Daniel is a pioneer) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 53, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"lying\", 8]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 8]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"tell... | {"split": "train", "index": 8943} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: William, Olivia, Lily, Benjamin, Oliver, Zoey, Daniel, Grace, and Liam. \"(if Grace is an altruist then Lily is an egoist) if and only if (Dani... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 54, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]], [\"not\", [\"telling-truth\", 6]]], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"or\", [\"lying\", 2], [\"lying\", 8], [\"lyin... | {"split": "train", "index": 8944} |
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, James, Emily, Jackson, Benjamin, William, Joseph, Scarlett, and Chloe. Lucas asserted: \"Joseph is a sage\". \"it is not the case that (Jackson is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 55, \"statements\": [[\"telling-truth\", 6], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 0]], [\"or\", [\"lying\", 7], [\"lying\", 1], [\"telling-truth\", 1]]], [... | {"split": "train", "index": 8945} |
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, Daniel, Owen, Liam, Michael, Ethan, Lucas, Sophia, and Avery. Oliver commented, \"it is not the case that (Ethan is a knave)\". \"it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 56, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 7]], [\"telling-truth\", 3], [\"or\", [\"ly... | {"split": "train", "index": 8946} |
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, Chloe, Mia, William, Sofia, Riley, Samuel, Logan, and Penelope. Noah stated, \"Noah is an altruist\". Chloe remarked, \"(if Penelope is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 57, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"telling-truth\", 0], [\"telling-truth\", 0], [\"and\", [\"->\", [\... | {"split": "train", "index": 8947} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Logan, Lily, Charlotte, Sophia, Ava, Riley, Elizabeth, Samuel, and Aurora. Logan was heard saying, \"it is not the case that (Sophia is an angel and Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 58, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"lying\", 0], [\"lying\", 8]]], [\"not\", [\"<... | {"split": "train", "index": 8948} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aiden, Olivia, Avery, Lucas, Benjamin, Noah, Sofia, David, and Henry. Aiden remarked, \"it is not the case that (if Henry is a pioneer then Dav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 59, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"and\", [\"telling-truth\", 6], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"->\", ... | {"split": "train", "index": 8949} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jackson, Joseph, Emily, Abigail, Aria, Noah, Ava, Victoria, and Benjamin. In Jackson's words: \"if (Noah is a sinner and Victoria is a saint and Jose... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 60, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"not\", [\"telling-truth\", 7]], [\"->\", [\"not\", [\"telling-truth... | {"split": "train", "index": 8950} |
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, Oliver, Grace, Elizabeth, Victoria, Owen, Chloe, Penelope, and Lily. Avery stated, \"(Oliver is a laggard or Oliver is a pioneer or Lily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 61, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 8]], [\"or\", [\"lying\", 8], [\"lying\", 3], [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\",... | {"split": "train", "index": 8951} |
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, Jack, Luke, Riley, Scarlett, Owen, Grace, Emily, and Henry. Emma told you that if (Luke is a knave and Scarlett is a knave and Owen is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 62, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 5]], [\"not\", [\"lying\", 7]]], [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"->\"... | {"split": "train", "index": 8952} |
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, Logan, Ethan, William, Michael, Emily, Isabella, Aria, and Lily. Scarlett stated, \"Michael is a fool and (if Isabella is a sage then Isabella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 63, \"statements\": [[\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 6], [\"lying\", 6]], [\"and\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"lying\", 7], [\"and\", [\"->... | {"split": "train", "index": 8953} |
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, Sebastian, Joseph, Evelyn, David, Aurora, William, Zoey, and Ava. According to Sofia, \"Sofia is a saint or (Joseph is a saint or David is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 64, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]], [\"not\", [\"telling-truth\", 1]]], ... | {"split": "train", "index": 8954} |
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, Evelyn, Jacob, Lucas, Riley, Victoria, Penelope, Ethan, and Luke. Ella stated, \"Lucas is an egoist\". As Evelyn put it, \"(Luke is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 65, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"lying\", 6], [\"lying\", 4]]], [\"not\", [\"lying\", 6]], [\"or\", [\"lying\", 5], [\"or\", [\"telling-truth\", 8], [\"lying\", 4], ... | {"split": "train", "index": 8955} |
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, Scarlett, Emily, James, Benjamin, Penelope, Noah, Grace, and Evelyn. Jacob remarked, \"Noah is a knight or (if Evelyn is a knight then Benjami... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 66, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"->\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 5], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8], [... | {"split": "train", "index": 8956} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jack, Zoey, Mia, Sofia, Amelia, Alexander, Ethan, Sebastian, and Henry. \"(Henry is an altruist and Zoey is an altruist) if and only if (if Eth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 67, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 3]]], [\"lying\", 3], [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 8]], [... | {"split": "train", "index": 8957} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: James, Sebastian, Sofia, Luke, Sophia, Aurora, Lily, Harper, and Emily. In a statement by James: \"(Aurora is a knight) if and only if (if Lily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 68, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"<=>\", [\"telling-truth\", 4], [\"->\", [\"lying\", 8], [\"lying\", 3]]], [\"telling-truth\", 6], [\"<=>\", [\"not... | {"split": "train", "index": 8958} |
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, Joseph, Emily, Abigail, Olivia, Ava, Jackson, Sophia, and Amelia. According to Oliver, \"(Amelia is a knave) if and only if (Abigail is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 69, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 0]]], [\"and\", [\"or\", [\"lying\", 7], ... | {"split": "train", "index": 8959} |
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, Grace, Penelope, Sofia, Lucas, Liam, Evelyn, Jacob, and Jack. Riley was heard saying, \"if (Lucas is a knave) then Evelyn is a knave\". Grace ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 70, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 6]], [\"telling-truth\", 6], [\"telling-truth\", 2], [\"and\", [\"lying\", 6], [\"not\", [\"lying\", 2]], [\"lying\", 0]], [\"and\", [\"and\", [\"tel... | {"split": "train", "index": 8960} |
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, William, David, Abigail, Michael, Sofia, Evelyn, Mason, and Emma. Matthew asserted: \"(Mason is an egoist if and only if Evelyn is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 71, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 6]], [\"or\", [\"lying\", 7], [\"lying\", 4], [\"lying\", 6]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]... | {"split": "train", "index": 8961} |
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, Emma, Emily, Lucas, Daniel, Harper, Ava, Olivia, and Samuel. As Scarlett put it, \"Daniel is a sage or (if Harper is a sage then Ava is a fool) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 72, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 5], [\"lying\", 6]], [\"telling-truth\", 8]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 0], ... | {"split": "train", "index": 8962} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Riley, Matthew, Olivia, Benjamin, Sofia, Mia, Michael, William, and Scarlett. According to Riley, \"(Benjamin is a villain if and only if Olivia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 73, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-t... | {"split": "train", "index": 8963} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sofia, Jack, Evelyn, Henry, Sophia, William, Avery, Aiden, and Abigail. In Sofia's words: \"(Sophia is a sage if and only if Sophia is a fool) or (if Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 74, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"->\", [\"telling... | {"split": "train", "index": 8964} |
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: David, Penelope, Logan, William, Alexander, Ava, Chloe, Luke, and Sofia. \"Chloe is a sinner,\" David mentioned. \"Luke is a saint\" - Penelope. In a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 75, \"statements\": [[\"lying\", 6], [\"telling-truth\", 7], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 7], [\"tellin... | {"split": "train", "index": 8965} |
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: Elizabeth, Penelope, Oliver, Samuel, Mia, Olivia, Abigail, Scarlett, and Alexander. Elizabeth remarked, \"if (Scarlett is a knave and Olivia is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 76, \"statements\": [[\"->\", [\"and\", [\"lying\", 7], [\"lying\", 5], [\"telling-truth\", 8]], [\"telling-truth\", 3]], [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 6], [\"telling-tr... | {"split": "train", "index": 8966} |
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, Mason, Lucas, Emily, Luke, Amelia, Samuel, Logan, and Henry. James said that if (Samuel is a hero or Lucas is a villain) then (if Logan is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 77, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 2]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"and\", [\"lying\", 8], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"... | {"split": "train", "index": 8967} |
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, Emily, Joseph, Evelyn, Scarlett, Benjamin, Oliver, Lucas, and Jack. Victoria asserted: \"it is not the case that (Benjamin is a villain)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 78, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"and\", [\"or\", [\"lyi... | {"split": "train", "index": 8968} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Olivia, Benjamin, Ethan, Matthew, Aurora, Logan, Elizabeth, Owen, and Jackson. \"(Owen is a hero) if and only if (Owen is a hero if and only if Auror... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 79, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"telling-truth\", 3]], [\"telling-truth\", 7],... | {"split": "train", "index": 8969} |
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, Victoria, Sofia, Evelyn, Harper, Henry, Scarlett, Ella, and Elizabeth. Noah stated, \"Evelyn is an egoist\". In Victoria's words: \"it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 80, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"lying\"... | {"split": "train", "index": 8970} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Daniel, Mia, Ella, Jacob, Emily, Elizabeth, Sophia, Victoria, and Samuel. \"(Jacob is a fool or Victoria is a fool or Daniel is a sage) and (Samuel is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 81, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"lying\", 7], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 8]]], [\"lying\", 8], [\"telling-truth\", 7], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\"... | {"split": "train", "index": 8971} |
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: Abigail, Emma, Lily, Henry, William, Benjamin, Riley, Jackson, and Jack. Abigail remarked, \"(Lily is a fool if and only if Riley is a fool) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 82, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 6]], [\"or\", [\"lying\", 8], [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]], [\"not\", [\"telling-tru... | {"split": "train", "index": 8972} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Avery, James, Owen, Sebastian, Harper, Matthew, Penelope, Riley, and William. As Avery put it, \"(Penelope is a fool if and only if Sebastian is a sage) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 83, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 5]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\... | {"split": "train", "index": 8973} |
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, David, Harper, Jackson, Penelope, Zoey, Charlotte, Benjamin, and Jack. Logan noted, \"Zoey is a saint\". \"Penelope is a saint,\" David claime... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 84, \"statements\": [[\"telling-truth\", 5], [\"telling-truth\", 4], [\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 4]], [\"->\", [\"lying\", 8], [\"lying\", 7]]], [\"->\", [\"telling-truth\", 8], [\"->\", [\"telling-tr... | {"split": "train", "index": 8974} |
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, Olivia, Sofia, Grace, Charlotte, Owen, Chloe, Alexander, and Samuel. Emma was heard saying, \"if (Olivia is a saint) then (Olivia is a saint if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 85, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 5]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", ... | {"split": "train", "index": 8975} |
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, Aria, Oliver, Jacob, Mia, Lucas, Liam, Ava, and Elizabeth. In Michael's words: \"Elizabeth is a knave\". In a statement by Aria: \"Jacob is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 86, \"statements\": [[\"lying\", 8], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"not\", [\"tell... | {"split": "train", "index": 8976} |
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, Olivia, Penelope, Logan, Aria, Ethan, Zoey, Jack, and Lily. Sophia said that (Jack is a laggard or Aria is a pioneer) and (Zoey is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 87, \"statements\": [[\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 4]], [\"and\", [\"lying\", 6], [\"lying\", 7], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"->\", [\"not\", [\"telli... | {"split": "train", "index": 8977} |
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: Ella, Alexander, Michael, Zoey, Owen, Liam, Isabella, Sophia, and Matthew. Ella noted, \"(Liam is a villain and Sophia is a hero and Isabella is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 88, \"statements\": [[\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 6], [\"lying\", 2], [\"lying\", 5]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\... | {"split": "train", "index": 8978} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Riley, Scarlett, Charlotte, Ava, Liam, Aiden, Joseph, Daniel, and Mia. As Riley put it, \"(Liam is a pioneer or Joseph is a laggard) or (Daniel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 89, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 6]], [\"<=>\", [\"lying\", 7], [\"lying\", 8]]], [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 8]], [\"or\", [\"telling-truth\", 3], [\"lying\... | {"split": "train", "index": 8979} |
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: Evelyn, Ella, Ethan, Scarlett, Penelope, Sofia, Charlotte, Emily, and David. Evelyn noted, \"it is not the case that (if Ella is a knave then Scarlet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 90, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"or\", [\"lying\", 2], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 0], [\"lying... | {"split": "train", "index": 8980} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Evelyn, Harper, Olivia, Jack, Samuel, Lucas, Chloe, Luke, and David. Evelyn was heard saying, \"(Harper is a laggard) and (Chloe is a pioneer) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 91, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"not\", [\"not\", [\"lying\", 7]]], [\"and\", [\"<=>\", [\"telling-truth\", 3],... | {"split": "train", "index": 8981} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Joseph, Abigail, Isabella, Ethan, Emma, Zoey, Elizabeth, Mia, and Lucas. Joseph was heard saying, \"(if Joseph is a pioneer then Abigail is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 92, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 7]]], [\"telling-truth\", 5], [\"or\", [\"not\", [\"lying\", 1]], [\"lying\", 1]], [\"and\", [\"<=>\", [\"lying\", ... | {"split": "train", "index": 8982} |
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: Abigail, Lily, Aurora, Riley, Logan, Isabella, Mia, Olivia, and Mason. Abigail remarked, \"(if Abigail is a pioneer then Aurora is a laggard) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 93, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"telling-tr... | {"split": "train", "index": 8983} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lily, Amelia, Logan, Avery, Jackson, Michael, Liam, Victoria, and Mia. \"(Mia is a pioneer or Michael is a pioneer or Logan is a laggard) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 94, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 5], [\"lying\", 2]], [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"and\", [\"<=>\", [\"telling-tru... | {"split": "train", "index": 8984} |
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, Elizabeth, David, Logan, Isabella, Liam, Ella, Victoria, and Mason. In a statement by Aurora: \"if (if Ella is a hero then Victoria is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 95, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 0], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\... | {"split": "train", "index": 8985} |
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, Liam, Mason, Harper, Emma, Matthew, Daniel, Riley, and Luke. Sophia expressed that Mason is a laggard or Liam is a pioneer or (Harper i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 96, \"statements\": [[\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"not\", [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 5], [\"lying\", 0]], [\"and\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"and\"... | {"split": "train", "index": 8986} |
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: Aiden, Samuel, Ella, Amelia, Emma, William, Luke, Benjamin, and Avery. In Aiden's words: \"if (Avery is a sage) then Samuel is a sage\". \"it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 97, \"statements\": [[\"->\", [\"not\", [\"lying\", 8]], [\"telling-truth\", 1]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"tel... | {"split": "train", "index": 8987} |
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, Emma, Jackson, Lily, Samuel, Jack, Ethan, Aria, and Evelyn. Jacob remarked, \"if (Jack is a pioneer or Aria is a pioneer) then (Aria is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 98, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 7], [\"lying\", 8]]], [\"and\", [\"lying\", 7], [\"telling-truth\", 6], [\"and\", [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 8988} |
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: William, David, Emma, Owen, Grace, Ella, Sofia, Elizabeth, and James. \"it is not the case that (Owen is a laggard),\" William claimed. As Davi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 99, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 8], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 5... | {"split": "train", "index": 8989} |
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, Mason, Ella, Harper, Emily, Ava, Jackson, Scarlett, and David. Sophia commented, \"if (Ella is an egoist or Scarlett is an egoist) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 100, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"lying\", 7]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 6]]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"t... | {"split": "train", "index": 8990} |
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: Ava, Elizabeth, Henry, Chloe, Alexander, Charlotte, Emma, Mason, and Logan. As Ava put it, \"it is not the case that (Chloe is an angel if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 101, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 6], [\"telling-truth\", 0], [\"lying\", 7], [\"lying\", 7], [\"lying\", 4], [\"or\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 8991} |
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: Mia, Olivia, Jack, Alexander, Elizabeth, Ava, Harper, Amelia, and Avery. \"(Ava is a sinner) if and only if (Harper is a sinner if and only if Elizab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 102, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 6], [\"lying\", 4]]], [\"lying\", 2], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"not\",... | {"split": "train", "index": 8992} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Henry, William, Mia, Isabella, Logan, Emily, Abigail, Lily, and Ella. Henry remarked, \"(Emily is a saint if and only if Isabella is a saint) and Ell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 103, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"telling-truth\", 8]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]]], [\... | {"split": "train", "index": 8993} |
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, Noah, Jack, William, David, Amelia, Elizabeth, James, and Henry. \"(Noah is an angel) if and only if (if Noah is an angel then James is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 104, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 4]], [\"o... | {"split": "train", "index": 8994} |
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, Avery, Ethan, Harper, Penelope, Alexander, Aurora, Ava, and Abigail. \"if (Harper is a sage or Avery is a fool or Aurora is a sage) then (Ethan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 105, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 6], [\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 6]], [\"->\", ... | {"split": "train", "index": 8995} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Harper, Penelope, Lucas, Grace, Emma, Aria, Aiden, Emily, and Sophia. Harper said that (if Emma is a sage then Aiden is a fool) or (Aiden is a fool or Luca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 106, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"or\", [\"lying\", 6], [\"lying\", 2], [\"lying\", 5]]], [\"lying\", 8], [\"telling-truth\", 6], [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-... | {"split": "train", "index": 8996} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Mia, William, Victoria, Ella, Mason, Penelope, Ethan, Sebastian, and Isabella. \"(Ella is a sage or William is a fool) or (Sebastian is a fool or Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 107, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 7], [\"lying\", 6]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 5], [\"lying... | {"split": "train", "index": 8997} |
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, Amelia, Lucas, Emma, Jack, Sebastian, Isabella, Zoey, and Abigail. Joseph said that (Sebastian is an egoist) or (if Abigail is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 108, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"lying\", 4], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 6], [\"telling-truth\", 8]], [... | {"split": "train", "index": 8998} |
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, Sophia, Zoey, Aria, Ella, Michael, Alexander, Daniel, and Evelyn. In a statement by Abigail: \"Sophia is a knave\". Sophia said that if (Eve... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 109, \"statements\": [[\"lying\", 1], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 3], [\"lying\", 7]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]], [\"lying\", 6]]... | {"split": "train", "index": 8999} |
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