data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Isabella, Oliver, Joseph, Evelyn, and Sophia. Isabella told you that ((Sophia is a fool) if and only if (if Oliver is a fool then Isabella is a sage)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 522, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"t... | {"split": "train", "index": 18300} |
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 5 inhabitants: Sebastian, Lily, Luke, Aiden, and Charlotte. Sebastian noted, \"((Sebastian is an angel if and only if Lily is an angel) if and only if (if Luke is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 523, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 1], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telli... | {"split": "train", "index": 18301} |
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 5 inhabitants: Aria, Harper, Chloe, Henry, and Sebastian. \"it is not the case that (it is not the case that (Chloe is an altruist and Aria is an altruist and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 524, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4]]]], [\"not\", [\"lying\", 4]], [\"not\", [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 1],... | {"split": "train", "index": 18302} |
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 5 inhabitants: Ella, Amelia, Olivia, Henry, and Grace. Ella was heard saying, \"it is not the case that (Grace is an altruist)\". According to Amelia, \"((if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 525, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 18303} |
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 5 inhabitants: Michael, Mia, Oliver, Jack, and Chloe. Michael stated, \"((Oliver is a hero and Mia is a hero and Jack is a villain and Chloe is a villain) and (Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 526, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\... | {"split": "train", "index": 18304} |
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 5 inhabitants: William, Chloe, Aurora, Victoria, and Evelyn. William said, \"it is not the case that (Evelyn is an altruist or Aurora is an altruist or (Victo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 527, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"not\", [\"<=>\", [\"<=>\", [\"... | {"split": "train", "index": 18305} |
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 5 inhabitants: Ethan, Mia, Abigail, Luke, and Owen. Ethan remarked, \"Mia is a villain\". Mia said that ((Abigail is a hero or Abigail is a villain or Luke is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 528, \"statements\": [[\"lying\", 1], [\"and\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"... | {"split": "train", "index": 18306} |
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 5 inhabitants: Samuel, Henry, James, Avery, and Owen. Samuel asserted: \"(if (James is an altruist or Owen is an egoist) then (James is an altruist or Henry i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 529, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling... | {"split": "train", "index": 18307} |
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 5 inhabitants: Samuel, Jack, Elizabeth, Joseph, and Olivia. Samuel remarked, \"((Jack is a sinner if and only if Elizabeth is a sinner) and (Jack is a saint if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 530, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]]], [\"->\", [\"... | {"split": "train", "index": 18308} |
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 5 inhabitants: Samuel, Sophia, Aria, Daniel, and Lily. Samuel remarked, \"if ((Sophia is a pioneer or Lily is a laggard or Sophia is a laggard or Daniel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 531, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"not\", [\"tell... | {"split": "train", "index": 18309} |
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 5 inhabitants: James, Samuel, Sebastian, Lucas, and Grace. James was heard saying, \"if (Grace is an angel) then ((Grace is an angel or Sebastian is a devil or Lucas ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 532, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"tell... | {"split": "train", "index": 18310} |
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 5 inhabitants: Evelyn, Penelope, Zoey, Abigail, and Liam. \"(if (Zoey is an angel if and only if Penelope is an angel) then (if Liam is an angel then Zoey is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 533, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4]]], [\"->... | {"split": "train", "index": 18311} |
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 5 inhabitants: Daniel, Alexander, Emily, Avery, and Grace. In Daniel's words: \"(if (Emily is a fool if and only if Alexander is a fool) then Daniel is a sage) and Emily ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 534, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"telling-truth\", 0]], [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 18312} |
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 5 inhabitants: Joseph, Logan, Oliver, James, and Lily. In a statement by Joseph: \"(James is a hero) or (it is not the case that (Logan is a hero)) or Oliver is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 535, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"not\", [\"not\", [\"lying\", 1]]], [\"telling-truth\", 2]], [\"and\", [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"lying\", 4]], [... | {"split": "train", "index": 18313} |
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 5 inhabitants: Penelope, Owen, Sebastian, Elizabeth, and Lily. Penelope noted, \"((Owen is a knave and Sebastian is a knave) if and only if Lily is a knave) or Seba... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 536, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"lying\", 4]], [\"lying\", 2], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telli... | {"split": "train", "index": 18314} |
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 5 inhabitants: William, Noah, Abigail, Samuel, and Jack. William commented, \"if (it is not the case that (Samuel is a hero)) then (it is not the case that (Noah is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 537, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"and\", [\"telling-truth\", 4], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]]]], [\"<=>\", [\"not\", [... | {"split": "train", "index": 18315} |
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 5 inhabitants: Sofia, Ethan, Grace, Abigail, and Emma. Sofia said, \"((Emma is a devil or Sofia is an angel or Abigail is a devil) and (if Ethan is a devil then Grace... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 538, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"telling-truth\", 1]],... | {"split": "train", "index": 18316} |
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 5 inhabitants: Liam, Aiden, Emily, Elizabeth, and Sophia. In a statement by Liam: \"(Liam is a hero and (Emily is a villain if and only if Emily is a hero) and (Aid... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 539, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 1]]... | {"split": "train", "index": 18317} |
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 5 inhabitants: Isabella, Olivia, Evelyn, Owen, and Mia. Isabella was heard saying, \"it is not the case that (it is not the case that (if Evelyn is a devil then Evely... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 540, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 1], [\"te... | {"split": "train", "index": 18318} |
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 5 inhabitants: Sofia, Emily, David, Olivia, and Grace. Sofia stated, \"Olivia is a fool and ((David is a fool and Emily is a sage and Grace is a sage and Olivia is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 541, \"statements\": [[\"and\", [\"lying\", 3], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling... | {"split": "train", "index": 18319} |
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 5 inhabitants: Jacob, Owen, Luke, Oliver, and Liam. \"it is not the case that (it is not the case that (Luke is a saint)),\" Jacob claimed. Owen commented, \"(if (L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 542, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telli... | {"split": "train", "index": 18320} |
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 5 inhabitants: Aiden, Sophia, Amelia, Harper, and Liam. \"if ((Harper is a devil or Sophia is a devil) and (Sophia is a devil) and Liam is an angel) then (if (Harper ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 543, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 1], [\"lying\... | {"split": "train", "index": 18321} |
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 5 inhabitants: Abigail, Lucas, Ethan, Sofia, and Lily. \"((Sofia is a sage or Ethan is a sage or Lucas is a sage) or (Ethan is a fool)) if and only if ((Lucas is a sage o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 544, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\"... | {"split": "train", "index": 18322} |
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 5 inhabitants: Elizabeth, Sophia, Avery, Luke, and Harper. Elizabeth said, \"it is not the case that (it is not the case that (if Harper is an angel then Avery is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 545, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"lying\", 0], [\"->\", [\"telling-truth\", 2], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\... | {"split": "train", "index": 18323} |
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 5 inhabitants: Avery, David, Joseph, Elizabeth, and Grace. In a statement by Avery: \"Elizabeth is an egoist\". David expressed that if (Joseph is an egoist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 546, \"statements\": [[\"lying\", 3], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"l... | {"split": "train", "index": 18324} |
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 5 inhabitants: Owen, Victoria, Samuel, Aiden, and Ella. According to Owen, \"it is not the case that ((Ella is an angel or Samuel is an angel or Aiden is a devil or O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 547, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-... | {"split": "train", "index": 18325} |
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 5 inhabitants: Emily, Scarlett, Riley, Samuel, and Ella. In a statement by Emily: \"if (it is not the case that (Ella is a knave and Scarlett is a knight and Ella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 548, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 2]]]], [\"not\", [\"->\", [\"n... | {"split": "train", "index": 18326} |
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 5 inhabitants: Emily, James, Sophia, Aiden, and Evelyn. As Emily put it, \"Emily is a hero\". In a statement by James: \"if ((Emily is a villain and Aiden is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 549, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling... | {"split": "train", "index": 18327} |
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 5 inhabitants: Ella, Samuel, Jacob, Elizabeth, and Aria. Ella expressed that (it is not the case that (Elizabeth is a sage)) if and only if Aria is a sage. Samuel stated,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 550, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-tr... | {"split": "train", "index": 18328} |
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 5 inhabitants: Grace, Emma, Michael, Riley, and Luke. Grace expressed that it is not the case that (Riley is a devil if and only if (Luke is an angel and Emma is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 551, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 2]]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"not\", [\... | {"split": "train", "index": 18329} |
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 5 inhabitants: Jackson, Olivia, Aiden, Harper, and Noah. \"Harper is a fool,\" Jackson declared. Olivia remarked, \"((Aiden is a sage) and (Harper is a fool if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 552, \"statements\": [[\"lying\", 3], [\"or\", [\"and\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-truth\", 3]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\",... | {"split": "train", "index": 18330} |
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 5 inhabitants: Victoria, Aurora, Logan, Ella, and William. Victoria expressed that (William is a pioneer) or (it is not the case that (Aurora is a laggard and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 553, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"and\", [\"lying\", 3], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"... | {"split": "train", "index": 18331} |
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 5 inhabitants: James, Daniel, Amelia, Oliver, and Isabella. According to James, \"((Daniel is a sinner and Amelia is a sinner and Daniel is a saint) and (Isabella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 554, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 2]], [\"telling-truth\", 2]], [\... | {"split": "train", "index": 18332} |
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 5 inhabitants: Evelyn, Joseph, Lucas, Zoey, and Chloe. Evelyn expressed that (Lucas is a saint or (Chloe is a sinner and Evelyn is a saint and Joseph is a sinner an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 555, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"<=>\",... | {"split": "train", "index": 18333} |
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 5 inhabitants: Victoria, Daniel, Grace, Sebastian, and Charlotte. In Victoria's words: \"Daniel is a devil\". Daniel commented, \"it is not the case that ((Sebastian ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 556, \"statements\": [[\"lying\", 1], [\"not\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]], ... | {"split": "train", "index": 18334} |
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 5 inhabitants: Mia, Aria, Benjamin, Noah, and Michael. Mia commented, \"if (it is not the case that (Noah is a knave or Aria is a knight or Mia is a knight or Benja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 557, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]]... | {"split": "train", "index": 18335} |
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 5 inhabitants: Daniel, Michael, Scarlett, Victoria, and Benjamin. Daniel stated, \"if ((if Scarlett is a pioneer then Daniel is a pioneer) if and only if Vict... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 558, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"not\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 18336} |
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 5 inhabitants: Jacob, Alexander, James, Olivia, and Sebastian. Jacob remarked, \"((Alexander is an altruist or Jacob is an altruist) and (Alexander is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 559, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4]]], ... | {"split": "train", "index": 18337} |
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 5 inhabitants: Zoey, Aurora, Abigail, Mason, and James. Zoey noted, \"(James is a laggard or (James is a pioneer)) if and only if (Abigail is a laggard and (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 560, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"not\", [\"lying\", 4]]], [\"and\", [\"lying\", 2], [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 3]]]], [\"not\", [\"or\", [\"<... | {"split": "train", "index": 18338} |
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 5 inhabitants: Chloe, Mason, Charlotte, Amelia, and Benjamin. Chloe said, \"(it is not the case that (Charlotte is a villain if and only if Benjamin is a hero)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 561, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"<=>\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], ... | {"split": "train", "index": 18339} |
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 5 inhabitants: James, Sophia, Emma, Jacob, and Alexander. \"(it is not the case that (Emma is a sinner)) if and only if (if (Sophia is a sinner if and only if Alexa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 562, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"->\", [\"not\", [\"->\", [\"tell... | {"split": "train", "index": 18340} |
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 5 inhabitants: Jack, Emma, Emily, Chloe, and Mia. According to Jack, \"Chloe is an angel\". Emma commented, \"Chloe is a devil\". According to Emily, \"if ((Emma is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 563, \"statements\": [[\"telling-truth\", 3], [\"lying\", 3], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]... | {"split": "train", "index": 18341} |
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 5 inhabitants: Oliver, Riley, Emily, Grace, and Amelia. \"(Amelia is an egoist and (Amelia is an altruist) and Oliver is an altruist and (Grace is an egoist o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 564, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"not\", [\"lying\", 4]], [\"telling-truth\", 0], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 3]], [\"no... | {"split": "train", "index": 18342} |
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 5 inhabitants: Grace, Daniel, Zoey, Elizabeth, and James. Grace was heard saying, \"if ((Daniel is a fool) or (Elizabeth is a fool and Daniel is a fool) or (Grace is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 565, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"lying\", 1], [\"or\", [\"lying\", 4], [\"ly... | {"split": "train", "index": 18343} |
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 5 inhabitants: William, Noah, James, Ella, and Benjamin. William asserted: \"((Ella is an altruist or Benjamin is an altruist or James is an egoist or Ella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 566, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"lying\", 2], [\"not\", [\"tellin... | {"split": "train", "index": 18344} |
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 5 inhabitants: Benjamin, Mia, Victoria, Isabella, and Evelyn. Benjamin said that ((Mia is a laggard and Victoria is a laggard) or (Mia is a pioneer and Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 567, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"lying\... | {"split": "train", "index": 18345} |
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 5 inhabitants: Matthew, Abigail, Charlotte, William, and Mason. According to Matthew, \"(it is not the case that (Abigail is a knave)) if and only if (it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 568, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4]]]], [\"->\", [\"->\", [\"->\", [\"telling-truth\"... | {"split": "train", "index": 18346} |
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 5 inhabitants: Alexander, Henry, Sofia, Lucas, and Luke. As Alexander put it, \"Luke is an altruist\". Henry said, \"Lucas is an egoist.\" Sofia remarked, \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 569, \"statements\": [[\"not\", [\"lying\", 4]], [\"lying\", 3], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 0]]]], [\"->\", [\"telling-truth\", 0], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", ... | {"split": "train", "index": 18347} |
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 5 inhabitants: Joseph, Sophia, Emma, Elizabeth, and Chloe. According to Joseph, \"Elizabeth is a laggard\". Sophia asserted: \"((Chloe is a pioneer or Emma is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 570, \"statements\": [[\"lying\", 3], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"lying\", 3]], [\"o... | {"split": "train", "index": 18348} |
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 5 inhabitants: Matthew, Daniel, Emma, Ava, and James. Matthew asserted: \"(if Matthew is a knight then (Emma is a knave)) or ((if Daniel is a knave then Matthew is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 571, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"or\", [\"lying\",... | {"split": "train", "index": 18349} |
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 5 inhabitants: Sofia, Victoria, Ella, Emily, and Lucas. \"((Emily is a hero if and only if Emily is a villain) and (Lucas is a hero)) if and only if ((if Victoria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 572, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"... | {"split": "train", "index": 18350} |
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 5 inhabitants: Jacob, Emma, Oliver, Aria, and Riley. \"it is not the case that ((Oliver is a saint if and only if Riley is a saint) if and only if Oliver is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 573, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"and\",... | {"split": "train", "index": 18351} |
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 5 inhabitants: Jackson, Jacob, Zoey, Aiden, and Samuel. In Jackson's words: \"((Aiden is a laggard) and (Zoey is a laggard) and (if Aiden is a laggard then Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 574, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\... | {"split": "train", "index": 18352} |
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 5 inhabitants: Lucas, Luke, Oliver, James, and Benjamin. \"Luke is a sage,\" Lucas mentioned. Luke told you that ((Luke is a sage and Benjamin is a sage and James is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 575, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"ly... | {"split": "train", "index": 18353} |
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 5 inhabitants: Emma, Oliver, Harper, Henry, and Aiden. Emma asserted: \"((Emma is a devil) and (Emma is an angel or Aiden is an angel or Oliver is a devil)) and ((Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 576, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"t... | {"split": "train", "index": 18354} |
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 5 inhabitants: Jackson, Chloe, Benjamin, Joseph, and Aiden. In Jackson's words: \"it is not the case that (if (if Joseph is a saint then Benjamin is a sinner) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 577, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\",... | {"split": "train", "index": 18355} |
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 5 inhabitants: Oliver, Grace, Emma, Mason, and Elizabeth. Oliver asserted: \"Elizabeth is an angel if and only if ((Mason is an angel) and Elizabeth is an angel and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 578, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"and\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 3], [\"telli... | {"split": "train", "index": 18356} |
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 5 inhabitants: Zoey, Henry, Daniel, Alexander, and Aria. \"if ((Henry is a saint) if and only if (Henry is a saint or Aria is a sinner)) then ((Alexander is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 579, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 3], [\"ly... | {"split": "train", "index": 18357} |
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 5 inhabitants: Mason, Sofia, Benjamin, William, and Evelyn. Mason expressed that (if (if Benjamin is an altruist then William is an altruist) then (Sofia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 580, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]],... | {"split": "train", "index": 18358} |
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 5 inhabitants: Ella, Joseph, Owen, Abigail, and Lucas. \"it is not the case that ((Owen is an altruist) or (if Owen is an altruist then Joseph is an egoist) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 581, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"<=>\... | {"split": "train", "index": 18359} |
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 5 inhabitants: Sebastian, Amelia, Aurora, Alexander, and Penelope. Sebastian told you that Aurora is an altruist and Amelia is an egoist. Amelia remarked, \"A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 582, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"telling-truth\", 3], [\"lying\", 3], [\"or\", [\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]... | {"split": "train", "index": 18360} |
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 5 inhabitants: James, Lily, Scarlett, Noah, and Luke. James told you that (if (Luke is a sinner) then (Noah is a saint if and only if Scarlett is a sinner)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 583, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-t... | {"split": "train", "index": 18361} |
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 5 inhabitants: Riley, Daniel, Ella, Ava, and Noah. \"((if Ella is a knave then Ava is a knave) or (Ella is a knave or Noah is a knight or Ella is a knight or Daniel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 584, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1... | {"split": "train", "index": 18362} |
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 5 inhabitants: Emily, Harper, Benjamin, Jack, and Matthew. Emily expressed that Jack is a knight. Harper asserted: \"((Benjamin is a knight if and only if Benjamin ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 585, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"or\",... | {"split": "train", "index": 18363} |
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 5 inhabitants: Olivia, Aria, Evelyn, Jackson, and Sofia. \"(it is not the case that (Evelyn is a sinner)) and Jackson is a saint and (it is not the case that (if Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 586, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], ... | {"split": "train", "index": 18364} |
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 5 inhabitants: Matthew, Aurora, Isabella, Alexander, and Abigail. Matthew told you that Isabella is a pioneer. Aurora stated, \"if (if (Alexander is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 587, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 18365} |
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 5 inhabitants: Joseph, Aiden, Zoey, David, and Michael. As Joseph put it, \"(Aiden is a devil and Michael is a devil and Joseph is an angel) and (if Joseph is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 588, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 4]]], [\"... | {"split": "train", "index": 18366} |
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 5 inhabitants: Aurora, Jacob, Scarlett, Aiden, and James. Aurora expressed that it is not the case that (Aurora is a knight or (James is a knight) or (Aiden is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 589, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"lying\", 3]]]], [\"telling-truth\", 3], [\"or\", [\"lyi... | {"split": "train", "index": 18367} |
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 5 inhabitants: Elizabeth, Noah, Logan, Oliver, and Ethan. Elizabeth was heard saying, \"if Noah is a devil then Ethan is an angel\". Noah expressed that Logan is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 590, \"statements\": [[\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"lying\", 2], [\"->\", [\"telling-truth\", 1], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]]], [\"lying\... | {"split": "train", "index": 18368} |
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 5 inhabitants: Elizabeth, Sebastian, David, Oliver, and Avery. \"Oliver is a knave,\" Elizabeth claimed. \"if (if (David is a knave and Avery is a knight and Avery ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 591, \"statements\": [[\"lying\", 3], [\"->\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\"... | {"split": "train", "index": 18369} |
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 5 inhabitants: James, Sofia, Aurora, Logan, and Owen. James said that Aurora is a saint or (it is not the case that (Sofia is a sinner if and only if James is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 592, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 1]], [\"lyi... | {"split": "train", "index": 18370} |
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 5 inhabitants: Lily, Zoey, James, Olivia, and Logan. Lily expressed that ((Lily is a saint and Zoey is a saint and James is a sinner and Zoey is a sinner) and (Lily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 593, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 18371} |
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 5 inhabitants: Aiden, Elizabeth, Amelia, Michael, and Chloe. \"Amelia is a devil\" - Aiden. \"it is not the case that ((Amelia is a devil) and Elizabeth is an angel),... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 594, \"statements\": [[\"lying\", 2], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0], [\"lying\", 1]],... | {"split": "train", "index": 18372} |
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 5 inhabitants: Isabella, Jacob, Samuel, Joseph, and Owen. \"(if Isabella is an angel then (Jacob is an angel if and only if Owen is an angel)) if and only if (if (Isa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 595, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"tell... | {"split": "train", "index": 18373} |
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 5 inhabitants: Amelia, Mason, Sophia, Ella, and Owen. Amelia stated, \"(it is not the case that (Sophia is an egoist or Owen is an egoist)) or (if (if Owen is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 596, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"->\", [\"<=>\", [\"or\", [\... | {"split": "train", "index": 18374} |
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 5 inhabitants: Ethan, Alexander, Sofia, Amelia, and Samuel. Ethan said, \"Amelia is an angel or ((Alexander is a devil and Ethan is an angel and Alexander is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 597, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"lying\", 1]], [\"or\", [\"not\"... | {"split": "train", "index": 18375} |
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 5 inhabitants: Alexander, Jack, Victoria, Noah, and James. \"((Noah is a hero if and only if James is a hero) or (Victoria is a hero or Jack is a villain or Noah is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 598, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telli... | {"split": "train", "index": 18376} |
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 5 inhabitants: Owen, Daniel, Aria, Alexander, and Samuel. Owen commented, \"(it is not the case that (Owen is an angel if and only if Daniel is an angel)) or (it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 599, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 1]]]], [\"or\", [\"not\", [\"o... | {"split": "train", "index": 18377} |
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 5 inhabitants: Sofia, Ava, Abigail, Charlotte, and Avery. Sofia asserted: \"if ((if Ava is a hero then Sofia is a hero) or (if Abigail is a hero then Sofia is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 600, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling... | {"split": "train", "index": 18378} |
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 5 inhabitants: Penelope, Sebastian, Isabella, Ella, and Alexander. \"it is not the case that (if (Isabella is a hero or Sebastian is a villain or Sebastian is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 601, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"telling-truth\", 4], [\"... | {"split": "train", "index": 18379} |
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 5 inhabitants: Aurora, Luke, Matthew, Samuel, and Aria. In a statement by Aurora: \"it is not the case that ((Samuel is a devil if and only if Aurora is an angel) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 602, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"and\", [\"lying... | {"split": "train", "index": 18380} |
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 5 inhabitants: James, Elizabeth, Mia, Michael, and Sebastian. \"Mia is a sinner\" - James. In Elizabeth's words: \"James is a saint\". \"Sebastian is a saint,\" Mia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 603, \"statements\": [[\"lying\", 2], [\"telling-truth\", 0], [\"not\", [\"lying\", 4]], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\... | {"split": "train", "index": 18381} |
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 5 inhabitants: Sophia, Liam, Jacob, Evelyn, and Ella. Sophia said, \"((Evelyn is a knave) if and only if (Jacob is a knight)) if and only if (if (Jacob is a knave a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 604, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", ... | {"split": "train", "index": 18382} |
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 5 inhabitants: Mia, Grace, Aria, Alexander, and Zoey. Mia commented, \"it is not the case that (if (Grace is a hero and Aria is a hero and Aria is a villain) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 605, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"not\",... | {"split": "train", "index": 18383} |
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 5 inhabitants: Olivia, Jackson, William, Elizabeth, and Aiden. Olivia asserted: \"Aiden is a knave or ((Aiden is a knave if and only if Aiden is a knight) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 606, \"statements\": [[\"or\", [\"lying\", 4], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-tr... | {"split": "train", "index": 18384} |
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 5 inhabitants: Sofia, Alexander, Ethan, Elizabeth, and Mason. As Sofia put it, \"(Elizabeth is a pioneer) and ((Elizabeth is a pioneer or Alexander is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 607, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 3], ... | {"split": "train", "index": 18385} |
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 5 inhabitants: Jack, Abigail, Zoey, Liam, and Jacob. Jack was heard saying, \"Zoey is an angel or ((Liam is a devil if and only if Abigail is a devil) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 608, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 18386} |
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 5 inhabitants: Mason, Emily, Owen, Jack, and David. Mason stated, \"((Emily is a fool or David is a fool) or (Emily is a sage)) if and only if ((Owen is a fool if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 609, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0... | {"split": "train", "index": 18387} |
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 5 inhabitants: Henry, Benjamin, Michael, Oliver, and Emma. \"((Michael is a hero) and (Oliver is a hero if and only if Emma is a hero) and (if Emma is a villain the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 610, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"l... | {"split": "train", "index": 18388} |
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 5 inhabitants: Henry, Scarlett, Oliver, Evelyn, and Noah. \"if (if Henry is a saint then (Noah is a sinner if and only if Oliver is a sinner)) then ((if Evelyn is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 611, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"tel... | {"split": "train", "index": 18389} |
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 5 inhabitants: Aiden, Samuel, Henry, Luke, and Mia. Aiden stated, \"if ((Henry is an altruist or Henry is an egoist or Mia is an egoist or Aiden is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 612, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\... | {"split": "train", "index": 18390} |
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 5 inhabitants: Benjamin, Aiden, Avery, Amelia, and Chloe. Benjamin commented, \"if ((if Avery is a knight then Aiden is a knave) if and only if (Chloe is a knight))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 613, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"<=>\", [\"or\", [\... | {"split": "train", "index": 18391} |
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 5 inhabitants: Scarlett, Alexander, Ella, Henry, and Sofia. \"if (it is not the case that (Henry is a knight or Scarlett is a knight)) then (it is not the case that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 614, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 3]]]], [\"not\", [\"<=>\", [\"not\", [\"lying\"... | {"split": "train", "index": 18392} |
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 5 inhabitants: Benjamin, Grace, Lily, Abigail, and Jack. Benjamin said, \"if ((Grace is an egoist) or Abigail is an egoist or (Lily is an egoist and Abigail i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 615, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 3], [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 3], [\"tellin... | {"split": "train", "index": 18393} |
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 5 inhabitants: Lily, Scarlett, Isabella, Benjamin, and Olivia. In Lily's words: \"Olivia is an egoist\". Scarlett remarked, \"(if (Isabella is an altruist and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 616, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 1]], [\"or\", [\"->\", [\"and\", [\... | {"split": "train", "index": 18394} |
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 5 inhabitants: Mason, Liam, William, Avery, and Lucas. Mason commented, \"if ((if William is an altruist then Mason is an altruist) if and only if (William is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 617, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], ... | {"split": "train", "index": 18395} |
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 5 inhabitants: Noah, Lucas, Scarlett, Emma, and Amelia. Noah was heard saying, \"Amelia is a fool\". Lucas remarked, \"Amelia is a sage\". Scarlett was heard saying, \"it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 618, \"statements\": [[\"lying\", 4], [\"telling-truth\", 4], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"->\", [\"n... | {"split": "train", "index": 18396} |
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 5 inhabitants: Logan, Alexander, Ella, Sofia, and Ava. Logan commented, \"if (it is not the case that (Ava is a sage if and only if Alexander is a sage)) then ((Ava is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 619, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]]], [\"not\", [\"and\", [\"<=>\... | {"split": "train", "index": 18397} |
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 5 inhabitants: Scarlett, Ava, Penelope, Luke, and Olivia. Scarlett expressed that it is not the case that ((if Luke is an angel then Penelope is an angel) or (if Luke... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 620, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"->\", [\"or\", [\"<=>\... | {"split": "train", "index": 18398} |
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 5 inhabitants: Harper, Liam, Logan, Henry, and Aria. Harper noted, \"Aria is a sage\". \"Aria is a fool and ((if Logan is a fool then Logan is a sage) and (Logan is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 621, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"lying\", 4], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"and\", [\"telling-... | {"split": "train", "index": 18399} |
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