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 altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sebastian, Sofia, Logan, Benjamin, and Isabella. In Sebastian's words: \"if ((Benjamin is an egoist) and (Benjamin is an egoist or Sebastian is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 366, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lyi... | {"split": "train", "index": 13700} |
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: Aiden, Amelia, Jack, Charlotte, and Alexander. Aiden asserted: \"((Jack is a sage if and only if Charlotte is a sage) and (Amelia is a sage)) and ((Jack is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 367, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 13701} |
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: William, Alexander, Penelope, Avery, and Sebastian. William was heard saying, \"if ((Penelope is a saint if and only if Avery is a sinner) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 368, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"lying\", 2]], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]... | {"split": "train", "index": 13702} |
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: Penelope, Henry, Evelyn, Benjamin, and Emma. Penelope stated, \"if (if (Benjamin is a sinner and Henry is a sinner) then (Evelyn is a sinner if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 369, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"l... | {"split": "train", "index": 13703} |
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: Liam, Riley, Abigail, Amelia, and Owen. Liam remarked, \"((if Amelia is a fool then Liam is a sage) and (Riley is a fool or Owen is a sage)) or ((Owen is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 370, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 1]]... | {"split": "train", "index": 13704} |
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: Henry, Lily, Mason, Ethan, and Jacob. \"((Jacob is a fool or Lily is a fool) if and only if (Jacob is a fool)) if and only if Lily is a sage,\" Henry menti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 371, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 1]], [\"or\", [\"or\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"telli... | {"split": "train", "index": 13705} |
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: Aria, Owen, Sebastian, Riley, and Penelope. \"it is not the case that (it is not the case that (Riley is a villain and Penelope is a hero))\" - Aria.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 372, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 2]],... | {"split": "train", "index": 13706} |
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, Victoria, Olivia, Sophia, and Matthew. As James put it, \"it is not the case that ((Sophia is a sinner) or Victoria is a saint)\". \"if (if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 373, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"an... | {"split": "train", "index": 13707} |
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, Logan, Jack, Henry, and Noah. \"Logan is a knave and ((Logan is a knave if and only if Noah is a knight) or (Noah is a knave and Jack is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 374, \"statements\": [[\"and\", [\"lying\", 1], [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"and\", [\"lying\", 4... | {"split": "train", "index": 13708} |
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: James, Aiden, Michael, Jack, and Scarlett. James was heard saying, \"it is not the case that ((Aiden is a knight or Jack is a knight) and (Aiden is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 375, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"and\", [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\"... | {"split": "train", "index": 13709} |
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, Ella, Abigail, Jacob, and Liam. Aurora noted, \"if (Abigail is an angel and (if Jacob is an angel then Liam is a devil)) then ((Abigail is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 376, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"not\", [... | {"split": "train", "index": 13710} |
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: Harper, David, Emma, Ella, and Aria. Harper was heard saying, \"((if David is a laggard then Aria is a laggard) and Harper is a pioneer) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 377, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 0]], [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"lying\", 2], [\"not\", [\"o... | {"split": "train", "index": 13711} |
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, Emma, Lucas, Noah, and Abigail. Scarlett commented, \"if (Abigail is an angel and (Emma is an angel)) then Emma is a devil\". \"it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 378, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"not\", [\"lying\", 1]]], [\"lying\", 1]], [\"not\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\... | {"split": "train", "index": 13712} |
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: Joseph, Olivia, Henry, Liam, and Oliver. Joseph stated, \"it is not the case that (it is not the case that (Henry is a knight or Henry is a knave))\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 379, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"or\", [\"telling-truth\", 4], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-tru... | {"split": "train", "index": 13713} |
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: Sophia, Jackson, Sofia, Grace, and Liam. \"(Sofia is a sinner if and only if (Jackson is a sinner and Sofia is a sinner)) if and only if (if (Liam is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 380, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"... | {"split": "train", "index": 13714} |
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: Logan, David, Mia, Sebastian, and Aria. Logan commented, \"Aria is a villain and ((Aria is a hero and Sebastian is a villain) or (if Mia is a hero th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 381, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"->\", [\"not\", [\"or\", [\"lying\", 0], [\"telling-tru... | {"split": "train", "index": 13715} |
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, Lucas, Victoria, Riley, and Samuel. Aiden remarked, \"Riley is an altruist\". Lucas said that if Victoria is an egoist then ((Riley is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 382, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"lying\", 2], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]]], [\"<=>\", [\"or\", [\"telling-truth\", 1],... | {"split": "train", "index": 13716} |
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: Aria, Victoria, William, Benjamin, and Charlotte. \"((Charlotte is a laggard and William is a laggard) and (Benjamin is a laggard and Victoria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 383, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"telling-... | {"split": "train", "index": 13717} |
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: Lucas, Daniel, Sebastian, Sophia, and Elizabeth. Lucas commented, \"Daniel is an altruist if and only if (it is not the case that (Elizabeth is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 384, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"te... | {"split": "train", "index": 13718} |
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: Sofia, Evelyn, Jackson, Mia, and Harper. According to Sofia, \"((Sofia is a saint or Evelyn is a saint) if and only if Evelyn is a sinner) or ((Jacks... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 385, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"lying\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lyin... | {"split": "train", "index": 13719} |
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: Alexander, Aiden, Lucas, Sebastian, and Samuel. Alexander was heard saying, \"if Aiden is a sinner then ((Sebastian is a sinner and Lucas is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 386, \"statements\": [[\"->\", [\"lying\", 1], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", ... | {"split": "train", "index": 13720} |
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: Riley, Luke, Benjamin, Penelope, and Daniel. According to Riley, \"it is not the case that (if (if Penelope is a pioneer then Riley is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 387, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"t... | {"split": "train", "index": 13721} |
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: Ava, Isabella, Oliver, Michael, and Jackson. \"((Ava is a sage if and only if Jackson is a sage) or (Jackson is a sage if and only if Oliver is a fool)) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 388, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"telling-truth\", 2]], [\"and\", [\"<=>\", [\"->\", [\"lying\", 0], [\"t... | {"split": "train", "index": 13722} |
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, William, Henry, Penelope, and Sophia. Olivia asserted: \"((Henry is a knave) and (if Penelope is a knave then Henry is a knave)) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 389, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 4]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 13723} |
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: Zoey, Joseph, Ella, Aiden, and Grace. Zoey noted, \"Zoey is a sage\". \"it is not the case that (it is not the case that (Ella is a sage or Aiden is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 390, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"tel... | {"split": "train", "index": 13724} |
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: Jacob, Aurora, Henry, Avery, and Mason. \"if (it is not the case that (Aurora is an angel and Jacob is an angel)) then ((Henry is a devil) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 391, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"or\", [\"not\", [\"->\",... | {"split": "train", "index": 13725} |
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, Lily, Olivia, Mia, and Lucas. \"it is not the case that (it is not the case that (Lucas is an egoist and Mia is an altruist)),\" Mason m... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 392, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"lying\", 2], [\"lying\"... | {"split": "train", "index": 13726} |
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, Avery, Michael, Sophia, and Lucas. According to Sebastian, \"it is not the case that (if (if Sophia is an egoist then Lucas is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 393, \"statements\": [[\"not\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0]], [\"telling-truth\", 2]]], [\"tellin... | {"split": "train", "index": 13727} |
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, Benjamin, Ethan, Charlotte, and Grace. Olivia told you that if (it is not the case that (Ethan is a saint or Grace is a sinner)) then ((Benja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 394, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 1]]]], [\"not\", [\"not\", [... | {"split": "train", "index": 13728} |
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, Amelia, Aiden, Grace, and Noah. \"((Aiden is a sinner) or Noah is a saint) and ((Amelia is a sinner or Grace is a sinner) if and only if (if N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 395, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"->\", [\"or\", [\"... | {"split": "train", "index": 13729} |
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: Luke, Aria, Lily, Jacob, and Isabella. Luke expressed that it is not the case that (it is not the case that (Jacob is an egoist)). \"(it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 396, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"lying\", 3]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"ly... | {"split": "train", "index": 13730} |
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, Noah, Oliver, Jack, and Michael. Penelope was heard saying, \"Michael is a villain\". Noah was heard saying, \"Oliver is a hero\". \"(it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 397, \"statements\": [[\"lying\", 4], [\"telling-truth\", 2], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"tell... | {"split": "train", "index": 13731} |
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, Sophia, Aria, Joseph, and Jack. \"(Jack is a sinner) if and only if (if (if Jack is a saint then Sophia is a sinner) then Aria is a sinner),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 398, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"lying\", 2]]], [\"telling-truth\", 0], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"a... | {"split": "train", "index": 13732} |
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, Matthew, Mia, Aiden, and Abigail. \"(if (if Matthew is a knight then Abigail is a knight) then Abigail is a knave) or ((Abigail is a knave) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 399, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"lying\", 4]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"->\", [\"an... | {"split": "train", "index": 13733} |
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: Amelia, Penelope, Michael, Victoria, and Jack. As Amelia put it, \"if (Michael is a saint if and only if (Michael is a saint or Jack is a saint)) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 400, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"->... | {"split": "train", "index": 13734} |
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: Oliver, Michael, Olivia, Jacob, and Abigail. According to Oliver, \"Olivia is a knave or Michael is a knight\". Michael remarked, \"(if (if Abigail i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 401, \"statements\": [[\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 4]]]], [\"... | {"split": "train", "index": 13735} |
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, Avery, Jacob, Lucas, and Isabella. \"((Jacob is an angel and Isabella is an angel) or Jacob is a devil) if and only if Isabella is a devil,\" Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 402, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lying\", 2]], [\"lying\", 4]], [\"->\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"telling-truth\", 4]], [\"or\"... | {"split": "train", "index": 13736} |
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: Ethan, Elizabeth, Henry, Avery, and Mason. According to Ethan, \"Elizabeth is a pioneer or (if Elizabeth is a pioneer then Avery is a laggard)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 403, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]],... | {"split": "train", "index": 13737} |
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, Victoria, Sebastian, Daniel, and Liam. Oliver was heard saying, \"Sebastian is an egoist\". As Victoria put it, \"(if Liam is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 404, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"->\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 13738} |
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: Sophia, Aiden, Jacob, Owen, and Avery. Sophia told you that (if (Owen is a fool and Aiden is a fool) then (Aiden is a sage if and only if Jacob is a sage))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 405, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-tr... | {"split": "train", "index": 13739} |
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: Victoria, Michael, Jacob, Daniel, and Scarlett. \"(if (Daniel is a sinner or Michael is a sinner) then (if Scarlett is a sinner then Michael is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 406, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4]... | {"split": "train", "index": 13740} |
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: Aurora, Jacob, Olivia, Isabella, and Noah. In Aurora's words: \"(if (if Jacob is a villain then Aurora is a hero) then (Noah is a hero if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 407, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"tel... | {"split": "train", "index": 13741} |
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: Lucas, Emily, Olivia, Abigail, and Penelope. Lucas commented, \"((Emily is a knight if and only if Emily is a knave) or (if Penelope is a knave then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 408, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 1]]],... | {"split": "train", "index": 13742} |
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: Jackson, Amelia, Sebastian, Riley, and Sophia. Jackson told you that it is not the case that (if (if Riley is a knight then Amelia is a knight) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 409, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-... | {"split": "train", "index": 13743} |
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: Abigail, Aiden, Mason, Logan, and Elizabeth. \"Elizabeth is a pioneer or ((Logan is a pioneer) and (Mason is a pioneer)),\" Abigail mentioned. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 410, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"and\", [\"t... | {"split": "train", "index": 13744} |
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: Scarlett, Matthew, Grace, Mia, and Oliver. According to Scarlett, \"(it is not the case that (Grace is a sinner if and only if Grace is a saint)) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 411, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"<=>\", [\"not\", [\"->\", [\"tel... | {"split": "train", "index": 13745} |
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: Michael, Aiden, Samuel, Scarlett, and Mason. In a statement by Michael: \"Scarlett is a sage\". Aiden commented, \"Mason is a fool\". Samuel noted, \"((Sca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 412, \"statements\": [[\"telling-truth\", 3], [\"lying\", 4], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 0]]], [\"->\... | {"split": "train", "index": 13746} |
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: Jacob, Olivia, Joseph, Jack, and Oliver. In Jacob's words: \"Jack is an angel\". \"((Oliver is an angel) if and only if Jack is an angel) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 413, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4... | {"split": "train", "index": 13747} |
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: Riley, Alexander, Ethan, Joseph, and Harper. Riley stated, \"it is not the case that ((if Harper is a villain then Riley is a hero) and (Alexander is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 414, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"or\", [\"lying\", 4], [\... | {"split": "train", "index": 13748} |
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: Jack, Ava, Owen, Alexander, and Ethan. \"(it is not the case that (Ava is a villain)) if and only if (Ava is a hero if and only if (if Alexander is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 415, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"and\", [\"lying\", 4], [\"and\", [\"and\", [\"lying\", 3], ... | {"split": "train", "index": 13749} |
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, Luke, Michael, Scarlett, and Emma. \"it is not the case that (if (Emma is a fool if and only if Scarlett is a sage) then Emma is a fool),\" Noah decl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 416, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]]], [\"->\", [\"or\", [\"telling-... | {"split": "train", "index": 13750} |
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: Victoria, Aurora, Aria, Owen, and Benjamin. Victoria asserted: \"(it is not the case that (Aurora is a knave or Aria is a knight)) or (it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 417, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"and\", [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [... | {"split": "train", "index": 13751} |
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: Lily, Michael, Zoey, Noah, and Olivia. In a statement by Lily: \"Michael is a villain\". In a statement by Michael: \"if (Zoey is a villain or (Noah ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 418, \"statements\": [[\"lying\", 1], [\"->\", [\"or\", [\"lying\", 2], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"lying\", 2], [\"not\", [\"lying\", 0]]]], [\"not\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", ... | {"split": "train", "index": 13752} |
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: Scarlett, Emma, Olivia, Mason, and Jack. Scarlett asserted: \"((Jack is an altruist) or (Olivia is an egoist or Jack is an egoist)) and Emma is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 419, \"statements\": [[\"and\", [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"telling-truth\", 1]], [\"telling-truth\", 4], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 3]... | {"split": "train", "index": 13753} |
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: Aiden, Lily, Owen, Daniel, and Riley. Aiden commented, \"(if (Daniel is a sage or Riley is a sage) then (if Daniel is a sage then Riley is a fool)) or ((Ri... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 420, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lyin... | {"split": "train", "index": 13754} |
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: Olivia, Daniel, William, Noah, and Elizabeth. Olivia said, \"(it is not the case that (Daniel is a devil)) if and only if ((if Elizabeth is an angel th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 421, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]]], [\"->\", [\"and\", [\"or\", [\"lying\", 0], [\"tell... | {"split": "train", "index": 13755} |
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, Emily, Abigail, Riley, and Elizabeth. \"(Elizabeth is a laggard and (Elizabeth is a pioneer)) and ((if Elizabeth is a laggard then Rile... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 422, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"not\", [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"tellin... | {"split": "train", "index": 13756} |
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: Abigail, Joseph, Mason, Michael, and Alexander. Abigail asserted: \"(Joseph is a saint) and Alexander is a saint\". Joseph noted, \"Mason is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 423, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"not\", [\"telling-truth\", 3]]]], [\"<=>\", ... | {"split": "train", "index": 13757} |
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: Olivia, Michael, Penelope, Luke, and Oliver. Olivia was heard saying, \"if (if Luke is a sage then (Michael is a fool if and only if Penelope is a fool)) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 424, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"lying\", 0], [\"telling-truth\", 0], [\"or\"... | {"split": "train", "index": 13758} |
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, Daniel, Isabella, Jackson, and Alexander. Emily said, \"((Daniel is a villain) if and only if (Isabella is a villain or Alexander is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 425, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"not\", [... | {"split": "train", "index": 13759} |
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: Charlotte, Emily, Jackson, Emma, and Penelope. \"(Emily is a pioneer if and only if (Charlotte is a pioneer or Jackson is a laggard)) and ((Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 426, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 3]]]], [\"te... | {"split": "train", "index": 13760} |
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, Aiden, Ella, Mason, and Henry. In Scarlett's words: \"Henry is an angel\". In Aiden's words: \"(it is not the case that (Ella is an angel or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 427, \"statements\": [[\"not\", [\"lying\", 4]], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 13761} |
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: Isabella, Owen, Mason, Benjamin, and Aiden. Isabella commented, \"it is not the case that ((Benjamin is a knave if and only if Mason is a knight) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 428, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"o... | {"split": "train", "index": 13762} |
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: Owen, Sofia, Sebastian, Liam, and Noah. \"if (if (Noah is a sage and Noah is a fool) then (if Owen is a sage then Liam is a fool)) then ((Sofia is a fool a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 429, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"tel... | {"split": "train", "index": 13763} |
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: Charlotte, Liam, Aurora, Sophia, and Grace. As Charlotte put it, \"it is not the case that (it is not the case that (Aurora is a devil if and only if C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 430, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [... | {"split": "train", "index": 13764} |
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: Logan, Lily, Evelyn, Chloe, and Harper. Logan commented, \"(it is not the case that (Harper is a villain)) if and only if ((if Lily is a villain then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 431, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [... | {"split": "train", "index": 13765} |
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, Elizabeth, Ethan, Joseph, and Charlotte. Michael said, \"if Joseph is a hero then Michael is a hero.\" Elizabeth said that Joseph is a hero.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 432, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 0]]], [\"<=>\",... | {"split": "train", "index": 13766} |
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: Daniel, Sofia, Aria, Logan, and Liam. As Daniel put it, \"Daniel is a knight\". As Sofia put it, \"(if (Aria is a knight) then Sofia is a knight) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 433, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"->\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]... | {"split": "train", "index": 13767} |
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: Liam, Zoey, Olivia, Luke, and Alexander. Liam said, \"Alexander is an angel.\" Zoey commented, \"(Olivia is an angel or (Luke is a devil or Alexander i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 434, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"or\", [\"telling-truth\", 2], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth... | {"split": "train", "index": 13768} |
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, Oliver, Elizabeth, Emily, and Jackson. \"((Oliver is a sinner if and only if Elizabeth is a sinner) or (Jackson is a sinner if and only if Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 435, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 13769} |
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, Sofia, Alexander, Jacob, and Oliver. Evelyn commented, \"it is not the case that ((Alexander is a devil) and (Oliver is a devil))\". As Sofia p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 436, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]]], [\"<=>\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"or\", [\"an... | {"split": "train", "index": 13770} |
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, Ethan, Grace, Sofia, and Aurora. Sebastian stated, \"((if Ethan is a devil then Grace is an angel) or (if Aurora is an angel then Sofia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 437, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]]], [\"... | {"split": "train", "index": 13771} |
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: Luke, Penelope, Grace, Jack, and William. \"it is not the case that (if William is an angel then (William is a devil)),\" Luke declared. Penelope asser... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 438, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]]]], [\"<=>\", [\"lying\", 4], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"not\", [\"not\", [\"and\... | {"split": "train", "index": 13772} |
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: Victoria, Daniel, Sofia, Sebastian, and Henry. Victoria stated, \"if Victoria is a sage then ((Sofia is a fool) and (Sofia is a fool and Sebastian is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 439, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 3]]]], [\"telling-truth\", 0], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"t... | {"split": "train", "index": 13773} |
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: Harper, Elizabeth, James, Evelyn, and Luke. \"Luke is a hero,\" Harper declared. Elizabeth commented, \"(Luke is a villain or (Harper is a hero)) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 440, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"or\", [\"lying\", 4], [\"not\", [\"lying\", 0]]], [\"->\", [\"lying\", 4], [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-... | {"split": "train", "index": 13774} |
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, James, Amelia, Owen, and Zoey. Penelope noted, \"((Amelia is a hero and Amelia is a villain) and (Penelope is a hero or Zoey is a villain))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 441, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"ly... | {"split": "train", "index": 13775} |
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: Elizabeth, Grace, Harper, Emma, and James. According to Elizabeth, \"(Emma is a sinner) if and only if ((Harper is a saint or Grace is a saint) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 442, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"<=>\", [\"or\", [\... | {"split": "train", "index": 13776} |
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: Avery, Scarlett, Samuel, Charlotte, and Aiden. According to Avery, \"it is not the case that (Charlotte is a devil)\". According to Scarlett, \"(Samuel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 443, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"lying\", 3], [\"<=>\", [\"lying\", 4], [\"lying\", 2... | {"split": "train", "index": 13777} |
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: Evelyn, Sofia, Benjamin, Jack, and Ella. Evelyn said that ((Sofia is a fool if and only if Evelyn is a sage) if and only if (if Sofia is a fool then Sofia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 444, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"l... | {"split": "train", "index": 13778} |
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: Logan, Benjamin, Samuel, Penelope, and Jacob. Logan was heard saying, \"Penelope is an egoist and ((Penelope is an egoist or Benjamin is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 445, \"statements\": [[\"and\", [\"lying\", 3], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2... | {"split": "train", "index": 13779} |
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: Lily, Mia, Michael, Liam, and Olivia. In a statement by Lily: \"(Michael is a pioneer and (Olivia is a pioneer or Michael is a pioneer)) and ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 446, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]]], [\"ly... | {"split": "train", "index": 13780} |
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: Luke, James, Zoey, Charlotte, and Noah. Luke remarked, \"((Noah is a hero or James is a hero) or (if James is a villain then Luke is a hero)) or ((Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 447, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telli... | {"split": "train", "index": 13781} |
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, Jacob, Riley, Jack, and Abigail. As Aiden put it, \"Jacob is an altruist\". In a statement by Jacob: \"(if (Riley is an egoist if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 448, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]],... | {"split": "train", "index": 13782} |
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: Logan, Amelia, Sophia, Victoria, and Chloe. Logan noted, \"if ((Victoria is a knave and Chloe is a knave) if and only if (Amelia is a knight)) then C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 449, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"lying\", 4]], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 13783} |
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, Grace, Logan, Oliver, and Lucas. Aiden told you that (if (Logan is an egoist if and only if Grace is an altruist) then Grace is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 450, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"lying\", 1]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"and\", [\"or\", ... | {"split": "train", "index": 13784} |
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: Luke, Lucas, Abigail, Benjamin, and Emma. Luke asserted: \"((Benjamin is a saint or Lucas is a saint) if and only if (Benjamin is a saint or Lucas is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 451, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"->\", [\"a... | {"split": "train", "index": 13785} |
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: William, Avery, Luke, Joseph, and David. William remarked, \"(Avery is an angel and David is a devil) and Avery is a devil\". Avery was heard saying, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 452, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 1]], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 2]]]], [\"<... | {"split": "train", "index": 13786} |
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: Aria, Emily, Scarlett, Ethan, and Matthew. Aria said that if ((Aria is a hero if and only if Ethan is a villain) if and only if (Ethan is a villain i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 453, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1... | {"split": "train", "index": 13787} |
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: Jack, Isabella, Sebastian, Michael, and Charlotte. According to Jack, \"(it is not the case that (if Michael is a fool then Isabella is a sage)) or (Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 454, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", ... | {"split": "train", "index": 13788} |
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: James, Aurora, Sophia, Luke, and Jacob. \"(it is not the case that (Luke is a villain if and only if Jacob is a villain)) or (if (James is a hero or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 455, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"or\", [\"and\", [\"... | {"split": "train", "index": 13789} |
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: Alexander, James, Abigail, Victoria, and Aurora. In a statement by Alexander: \"((Alexander is an angel or Victoria is an angel) if and only if (Aurora... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 456, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"l... | {"split": "train", "index": 13790} |
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, Aiden, Ethan, Aurora, and Ava. In a statement by Henry: \"if Ethan is a villain then ((if Ava is a hero then Ava is a villain) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 457, \"statements\": [[\"->\", [\"lying\", 2], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"->\", [\"lying\", 3], [\"and\", [\"or\", [\"telling-truth\", 4], [\"tell... | {"split": "train", "index": 13791} |
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: Avery, Samuel, Benjamin, Ava, and James. Avery noted, \"(if (if Benjamin is a devil then Avery is an angel) then Avery is an angel) if and only if ((Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 458, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]]... | {"split": "train", "index": 13792} |
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: Avery, Grace, Joseph, Liam, and Charlotte. Avery expressed that if Joseph is a saint then ((Joseph is a saint or Grace is a saint) or (Avery is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 459, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]]], [\"<=>\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]... | {"split": "train", "index": 13793} |
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, Logan, Chloe, Michael, and Owen. Aurora said, \"Logan is a knight.\" \"Aurora is a knave and (it is not the case that (Aurora is a knave)),\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 460, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 0], [\"not\", [\"not\", [\"telling-truth\", 0]]]], [\"lying\", 1], [\"or\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth... | {"split": "train", "index": 13794} |
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: Sophia, Sofia, Aiden, Aurora, and Sebastian. Sophia noted, \"(it is not the case that (Sophia is an altruist if and only if Sofia is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 461, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"<=>\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\... | {"split": "train", "index": 13795} |
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: Isabella, Victoria, Samuel, Ethan, and Riley. Isabella said, \"(Victoria is an altruist or (Samuel is an egoist)) or ((Ethan is an egoist if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 462, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"->... | {"split": "train", "index": 13796} |
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: Amelia, Riley, Ava, Benjamin, and Scarlett. Amelia said that it is not the case that ((Scarlett is a fool if and only if Riley is a fool) and (if Ava is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 463, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 4]]]], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\... | {"split": "train", "index": 13797} |
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: Jack, Sebastian, Charlotte, Amelia, and Aria. In Jack's words: \"Sebastian is an altruist or ((Charlotte is an egoist if and only if Jack is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 464, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 1]]]], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]... | {"split": "train", "index": 13798} |
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: Sophia, Sofia, Charlotte, Michael, and Harper. Sophia expressed that (if (Sofia is an angel and Sophia is an angel) then (Harper is a devil)) or ((Harp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 465, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"->\", [... | {"split": "train", "index": 13799} |
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