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: Charlotte, Alexander, Emma, Luke, and Scarlett. \"if ((if Scarlett is an altruist then Alexander is an egoist) if and only if Charlotte is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1766, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 0]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 3]]]], [\"<=... | {"split": "train", "index": 15100} |
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: Victoria, Samuel, Aria, Michael, and Aurora. Victoria told you that if ((Aria is a hero or Aria is a villain) if and only if (if Aria is a hero then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1767, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1]... | {"split": "train", "index": 15101} |
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: Charlotte, Abigail, Joseph, Emma, and Chloe. \"if ((if Joseph is a knave then Chloe is a knave) and (Abigail is a knight)) then (it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1768, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"lying\", 3], [\"or\", [\"<=>\", [\"or\", [\"lyin... | {"split": "train", "index": 15102} |
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: Luke, William, Elizabeth, Jacob, and Mason. Luke asserted: \"Elizabeth is a sage if and only if ((Jacob is a fool if and only if Elizabeth is a sage) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1769, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"... | {"split": "train", "index": 15103} |
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, Logan, Michael, Alexander, and Noah. According to Olivia, \"Alexander is a devil\". Logan asserted: \"(if (Olivia is a devil or Noah is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1770, \"statements\": [[\"lying\", 3], [\"and\", [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"lying\", 3]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]]... | {"split": "train", "index": 15104} |
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, Harper, Chloe, Jackson, and Sophia. Sofia stated, \"it is not the case that (it is not the case that (Sophia is a devil))\". Harper remarked, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1771, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"->\", [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"not\", [\... | {"split": "train", "index": 15105} |
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: Penelope, Aurora, Grace, Matthew, and Luke. In Penelope's words: \"((Grace is a pioneer or Grace is a laggard) and Penelope is a pioneer) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1772, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]... | {"split": "train", "index": 15106} |
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: Amelia, Henry, Jacob, Luke, and Sofia. Amelia was heard saying, \"it is not the case that ((Henry is a laggard or Sofia is a pioneer) and Jacob... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1773, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"->\"... | {"split": "train", "index": 15107} |
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: Michael, Amelia, Avery, Jackson, and Owen. Michael said, \"(if (Jackson is a sinner if and only if Amelia is a sinner) then (Avery is a sinner)) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1774, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 2]]]], [\"<=>\", [\"->\", [\"and\", [\"lying\", 0], [\"te... | {"split": "train", "index": 15108} |
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: Avery, Abigail, Aurora, Oliver, and Aiden. Avery was heard saying, \"((Abigail is a pioneer if and only if Aiden is a laggard) and (Aurora is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1775, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [... | {"split": "train", "index": 15109} |
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: Oliver, Lily, Aurora, Sebastian, and Chloe. \"it is not the case that ((Lily is a villain and Chloe is a villain) or (Lily is a hero or Aurora is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1776, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"lying\", 3], [\"not\", [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\",... | {"split": "train", "index": 15110} |
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: Aurora, Matthew, Riley, Charlotte, and Owen. Aurora stated, \"it is not the case that (Charlotte is a sage and (Matthew is a sage or Owen is a fool))\". Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1777, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"->\", [\"or\", [\"tell... | {"split": "train", "index": 15111} |
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: Samuel, Avery, Isabella, Aria, and Grace. \"((Grace is a fool) and (Avery is a sage)) and Aria is a fool,\" Samuel claimed. In Avery's words: \"Grace is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1778, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"lying\", 3]], [\"telling-truth\", 4], [\"and\", [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\",... | {"split": "train", "index": 15112} |
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, Henry, Emma, Aria, and Logan. According to Jack, \"if (if (Henry is a sage or Logan is a fool) then (Aria is a sage or Jack is a sage)) then ((if Emm... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1779, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 1]... | {"split": "train", "index": 15113} |
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, Emma, Owen, Mia, and Matthew. Sophia noted, \"if (Owen is a devil or (if Owen is an angel then Mia is a devil)) then (it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1780, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 2... | {"split": "train", "index": 15114} |
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: Emma, James, Sophia, Scarlett, and Lucas. Emma stated, \"Lucas is a saint\". James said, \"it is not the case that (if (Lucas is a saint and Scarlett... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1781, \"statements\": [[\"not\", [\"lying\", 4]], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"or\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 15115} |
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, Michael, Elizabeth, Liam, and Joseph. Benjamin noted, \"it is not the case that ((if Joseph is an egoist then Michael is an altruist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1782, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 2]]]], [\"or\", [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]],... | {"split": "train", "index": 15116} |
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, William, Jackson, and Olivia. Harper commented, \"((David is a laggard) and (William is a pioneer or Olivia is a laggard)) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1783, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"... | {"split": "train", "index": 15117} |
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, Aurora, Jackson, Isabella, and Matthew. Aiden asserted: \"Jackson is an egoist\". Aurora remarked, \"((Matthew is an egoist if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1784, \"statements\": [[\"lying\", 2], [\"or\", [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"lying\", 3], [\"->\", [\"or\", [\"... | {"split": "train", "index": 15118} |
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, Jacob, Victoria, Scarlett, and Luke. Charlotte was heard saying, \"if ((Victoria is an angel and Jacob is an angel) or (if Luke is a devil t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1785, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"telling-truth\", 4], [\"not\", [\"and\", [\"and... | {"split": "train", "index": 15119} |
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, Charlotte, James, Jacob, and Henry. Grace was heard saying, \"((James is a fool) and (James is a fool or Charlotte is a fool)) and ((Grace is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1786, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 2]]]], [... | {"split": "train", "index": 15120} |
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: Daniel, Olivia, Joseph, Aria, and Penelope. \"((Joseph is a hero) and Olivia is a hero) and ((Joseph is a hero and Joseph is a villain) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1787, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"<=>\", [\"not\"... | {"split": "train", "index": 15121} |
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, Chloe, Henry, Mason, and Owen. \"((Sofia is a saint or Henry is a sinner) or (if Mason is a saint then Sofia is a saint)) and ((Sofia is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1788, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\"... | {"split": "train", "index": 15122} |
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: Owen, Elizabeth, Scarlett, Abigail, and Lily. In a statement by Owen: \"(it is not the case that (Scarlett is a villain if and only if Abigail is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1789, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"and\", [\"telling-truth... | {"split": "train", "index": 15123} |
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: Daniel, Jackson, Grace, Ella, and Liam. Daniel said that Liam is a villain. \"(it is not the case that (Ella is a hero if and only if Jackson is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1790, \"statements\": [[\"lying\", 4], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 0], [\"or\", [\"lying\", 2], [\"lying\", 3]]]], [\"and\", [\"or\", [\"and\", [\... | {"split": "train", "index": 15124} |
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: Noah, Daniel, Evelyn, William, and Jacob. \"if (if (Evelyn is a devil and Evelyn is an angel) then (Evelyn is a devil and Daniel is an angel)) then (it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1791, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"not\", [\"or\", [... | {"split": "train", "index": 15125} |
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: Emily, Scarlett, Zoey, Benjamin, and Chloe. In a statement by Emily: \"Chloe is a sage\". Scarlett said, \"it is not the case that ((Zoey is a fool) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1792, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"... | {"split": "train", "index": 15126} |
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: Scarlett, Harper, Luke, Lucas, and Ava. Scarlett asserted: \"Lucas is a pioneer\". Harper asserted: \"((if Scarlett is a laggard then Luke is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1793, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 4]], [\"<=>... | {"split": "train", "index": 15127} |
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, William, Olivia, Samuel, and Ava. \"it is not the case that ((if Samuel is a saint then Jackson is a saint) or (William is a sinner and Ava ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1794, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 4]]]], [\"->\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"l... | {"split": "train", "index": 15128} |
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, Sofia, Aurora, Victoria, and Lily. Luke stated, \"((Sofia is an angel if and only if Victoria is a devil) or (if Lily is a devil then Aurora is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1795, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 2]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"t... | {"split": "train", "index": 15129} |
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, Noah, Grace, Henry, and Victoria. In a statement by Sebastian: \"((Henry is a devil and Grace is an angel) or (Noah is an angel)) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1796, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"and\", [\"or\", [\"not\", [\"lying\", 4... | {"split": "train", "index": 15130} |
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: Aiden, William, Grace, James, and Lily. \"it is not the case that (if (Lily is a villain) then James is a hero),\" Aiden declared. As William put it,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1797, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 15131} |
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: Grace, Sebastian, Lily, Michael, and Emily. Grace said that ((Sebastian is a villain if and only if Emily is a hero) and (Sebastian is a villain)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1798, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"lying\", 3], [\"or\", [\"and\",... | {"split": "train", "index": 15132} |
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: Elizabeth, Sebastian, Aurora, Olivia, and Charlotte. Elizabeth commented, \"if ((Sebastian is a pioneer) if and only if (Aurora is a laggard if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1799, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"lying\", 2]... | {"split": "train", "index": 15133} |
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: Jack, Aurora, Avery, Aria, and Isabella. Jack remarked, \"((Aria is a sinner and Aurora is a sinner) if and only if (Isabella is a saint or Aurora is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1800, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 15134} |
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, Daniel, William, Ella, and Luke. Jacob was heard saying, \"Jacob is an angel\". Daniel commented, \"it is not the case that (if (if Daniel is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1801, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 4]]]], [\"->\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-t... | {"split": "train", "index": 15135} |
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: Chloe, Evelyn, Henry, Abigail, and Owen. In a statement by Chloe: \"(it is not the case that (Abigail is a sinner if and only if Owen is a sinner)) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1802, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 0]]]], [\"telling-truth\", 2], [\"and\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]... | {"split": "train", "index": 15136} |
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: David, Aria, Liam, Michael, and Daniel. David commented, \"((if Daniel is a fool then Liam is a sage) and (Aria is a sage or Michael is a fool)) and (it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1803, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"not\", [\"and\", ... | {"split": "train", "index": 15137} |
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: Evelyn, Victoria, Luke, Samuel, and William. Evelyn was heard saying, \"if (Victoria is a pioneer or (William is a laggard or Luke is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1804, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 2], [\"not\", [\"lying\", 1]]]], [\"->\", [\"or\", [\"and\", [\"lying\", 0], [\"t... | {"split": "train", "index": 15138} |
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: Sebastian, Benjamin, Scarlett, Joseph, and Liam. According to Sebastian, \"((Scarlett is a saint if and only if Joseph is a saint) or (Scarlett is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1805, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 1]]], [\"o... | {"split": "train", "index": 15139} |
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: Ava, Logan, Henry, Harper, and Mason. Ava noted, \"(if (Harper is an egoist if and only if Mason is an egoist) then (Henry is an altruist and M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1806, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"lying\", 3], [\"or\", [\"not\",... | {"split": "train", "index": 15140} |
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: Emily, Riley, Benjamin, Abigail, and Victoria. Emily stated, \"((if Abigail is a fool then Riley is a fool) if and only if Riley is a fool) and Victoria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1807, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"lying\", 1]], [\"lying\", 4]], [\"<=>\", [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-t... | {"split": "train", "index": 15141} |
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, Emily, Mia, Sophia, and Harper. Owen was heard saying, \"if Owen is a sage then (if (Harper is a fool or Emily is a fool) then Emily is a fool)\". In... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1808, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 4], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"or\",... | {"split": "train", "index": 15142} |
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, Luke, Aiden, Charlotte, and Michael. In Mia's words: \"Luke is a villain\". Luke remarked, \"(if (Mia is a hero if and only if Michael is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1809, \"statements\": [[\"lying\", 1], [\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 15143} |
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: Sebastian, Abigail, Harper, Avery, and Jack. Sebastian noted, \"it is not the case that ((Harper is a sinner and Avery is a sinner) and (Sebastian is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1810, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"not\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", ... | {"split": "train", "index": 15144} |
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, Samuel, Aurora, Avery, and Logan. William stated, \"(it is not the case that (Aurora is a hero if and only if Logan is a hero)) or ((if Samu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1811, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"and\", [\"lying\"... | {"split": "train", "index": 15145} |
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: Jackson, Oliver, Liam, Isabella, and Noah. Jackson was heard saying, \"if (Liam is a devil) then ((Oliver is an angel or Liam is an angel) and Liam is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1812, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\... | {"split": "train", "index": 15146} |
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: Jackson, Luke, Lily, Oliver, and Ava. \"if (Luke is a villain if and only if (Luke is a hero)) then (Jackson is a hero and (Ava is a hero if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1813, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"not\", [\"lying\", 1]]], [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 3], ... | {"split": "train", "index": 15147} |
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, Mason, Charlotte, David, and Riley. Jacob asserted: \"if (it is not the case that (Mason is an angel and Charlotte is a devil)) then ((Riley is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1814, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"and\", [\"<=>\", [\"<=>\", [\"te... | {"split": "train", "index": 15148} |
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, Zoey, Lucas, Jackson, and Olivia. Liam commented, \"((Zoey is a sage or Liam is a sage) if and only if (Lucas is a fool and Olivia is a sage)) or Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1815, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4... | {"split": "train", "index": 15149} |
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: Ava, Scarlett, Elizabeth, Emily, and Zoey. As Ava put it, \"Elizabeth is an angel or ((Scarlett is a devil or Zoey is an angel) and (if Zoey is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1816, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"t... | {"split": "train", "index": 15150} |
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, Jackson, Matthew, Mason, and Penelope. In a statement by Jack: \"(it is not the case that (Penelope is a villain and Jackson is a hero)) or Pen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1817, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 4]], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\"... | {"split": "train", "index": 15151} |
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: Ethan, Grace, Joseph, Riley, and Elizabeth. Ethan noted, \"(Grace is a sage if and only if (Grace is a sage if and only if Elizabeth is a fool)) or (Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1818, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 3], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 15152} |
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, Jack, Joseph, Emma, and Avery. Abigail commented, \"Abigail is a saint\". Jack asserted: \"(Avery is a saint or (Avery is a saint and Emma i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1819, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 3]], [\"->\", [\"and\", [\"or\", [\"lying\", 3], [\"lyin... | {"split": "train", "index": 15153} |
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, Evelyn, Scarlett, Lily, and Joseph. Matthew said, \"((Scarlett is a knight or Evelyn is a knave) or (Lily is a knight)) and ((Lily is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1820, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-t... | {"split": "train", "index": 15154} |
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, Luke, Sophia, Emma, and Jack. \"((Sophia is an angel if and only if Luke is a devil) and (Oliver is an angel and Luke is a devil)) or (if (Soph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1821, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", ... | {"split": "train", "index": 15155} |
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, Olivia, Amelia, Zoey, and Elizabeth. James was heard saying, \"(James is a saint and (Amelia is a sinner)) or Amelia is a saint\". As Olivia p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1822, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"lying\", 4], [\"tell... | {"split": "train", "index": 15156} |
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: Ella, Amelia, Isabella, Benjamin, and Olivia. In Ella's words: \"Isabella is a pioneer if and only if (Amelia is a pioneer if and only if (Isab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1823, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"lying\", 2]]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\... | {"split": "train", "index": 15157} |
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: Aiden, Ella, Olivia, Emily, and Ethan. \"Ethan is a pioneer,\" Aiden declared. As Ella put it, \"((Olivia is a laggard and Ethan is a laggard) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1824, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"or\"... | {"split": "train", "index": 15158} |
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, Sofia, Liam, Noah, and Luke. Grace noted, \"it is not the case that (Sofia is a fool and (Sofia is a sage or Liam is a sage))\". Sofia was heard say... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1825, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"not\", [\"or\", [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"not\", [\... | {"split": "train", "index": 15159} |
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: Victoria, Harper, Mia, Noah, and William. \"((William is an egoist or Noah is an altruist) and (Mia is an egoist)) or Harper is an egoist,\" Vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1826, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 1]], [\"or\", [\"and\", [\"lying\", 4], [\"<=>\", [\"lying\", 0], [\"lying\", 3]]], [\... | {"split": "train", "index": 15160} |
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, Matthew, Lucas, Liam, and Elizabeth. Victoria noted, \"Liam is a laggard and ((Liam is a laggard) if and only if (Liam is a laggard o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1827, \"statements\": [[\"and\", [\"lying\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"->\", [\"lying\"... | {"split": "train", "index": 15161} |
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: David, Ethan, Penelope, Emily, and Amelia. \"Ethan is a sage,\" David mentioned. Ethan remarked, \"(it is not the case that (Emily is a fool)) and ((if Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1828, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"or\", [... | {"split": "train", "index": 15162} |
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: Grace, Elizabeth, Chloe, Charlotte, and Abigail. Grace noted, \"(Charlotte is a saint or (if Abigail is a sinner then Chloe is a sinner)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1829, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"lying\", 1]], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [... | {"split": "train", "index": 15163} |
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: David, Evelyn, Abigail, Aurora, and Mason. David said, \"Aurora is a sage.\" Evelyn remarked, \"(if (if David is a sage then Mason is a fool) then (Mason i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1830, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"ly... | {"split": "train", "index": 15164} |
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, Lucas, Emma, Jacob, and Jack. Jackson told you that if ((Jacob is a fool or Lucas is a sage) or (Emma is a sage and Jackson is a sage)) then ((Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1831, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"tell... | {"split": "train", "index": 15165} |
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, Oliver, Lily, Ella, and Aurora. \"Lily is a knave and ((Aurora is a knave if and only if Lily is a knight) or Oliver is a knight),\" Jackson... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1832, \"statements\": [[\"and\", [\"lying\", 2], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"and\", [\"lying\", 4], [\"telling-truth\", 3... | {"split": "train", "index": 15166} |
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: Ella, Zoey, Ethan, Owen, and Charlotte. Ella said, \"if Ethan is a knave then (if (Ella is a knight if and only if Owen is a knight) then Ethan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1833, \"statements\": [[\"->\", [\"lying\", 2], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 3]]... | {"split": "train", "index": 15167} |
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, William, Noah, Avery, and Isabella. As Abigail put it, \"(Avery is a sinner if and only if (if Noah is a saint then William is a sinner)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1834, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-tru... | {"split": "train", "index": 15168} |
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: Ella, Emma, Logan, Samuel, and Abigail. Ella asserted: \"(Logan is a saint or (Logan is a sinner if and only if Ella is a saint)) if and only if (it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1835, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"->\", [\"and\", [\"telli... | {"split": "train", "index": 15169} |
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, Amelia, Henry, Ella, and Abigail. \"Ella is a knight\" - Daniel. Amelia expressed that (Henry is a knight or (if Daniel is a knight then Abig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1836, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"lying\... | {"split": "train", "index": 15170} |
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, Isabella, Riley, Jack, and Avery. According to Sophia, \"((Avery is a knight and Jack is a knave) if and only if Isabella is a knight) and (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1837, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 1]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"and\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 15171} |
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, Matthew, Lucas, Sebastian, and Emma. \"((Lucas is a knight) if and only if (if Lucas is a knight then Emma is a knave)) or (if Emma is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1838, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\... | {"split": "train", "index": 15172} |
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: Charlotte, Owen, Evelyn, Grace, and Ella. Charlotte asserted: \"(it is not the case that (Evelyn is an egoist)) or (it is not the case that (Gr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1839, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"telling-truth\", 2], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\"... | {"split": "train", "index": 15173} |
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: Sebastian, Alexander, Lucas, Elizabeth, and Charlotte. Sebastian said, \"Sebastian is a hero.\" In Alexander's words: \"(it is not the case that (Cha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1840, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 4]]]], [\"or\", [\"or\", [\"<=>\", [\"telling-tru... | {"split": "train", "index": 15174} |
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, Luke, Michael, William, and Sofia. Benjamin was heard saying, \"((Luke is a laggard or William is a laggard) and (Michael is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1841, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\"... | {"split": "train", "index": 15175} |
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: Evelyn, Logan, Jack, Victoria, and Owen. \"it is not the case that (it is not the case that (Owen is a knave)),\" Evelyn mentioned. Logan was heard s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1842, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 0],... | {"split": "train", "index": 15176} |
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: Liam, Harper, Ethan, Abigail, and Emily. Liam said that if Liam is an altruist then (Ethan is an altruist if and only if (if Harper is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1843, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"->\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"an... | {"split": "train", "index": 15177} |
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: Noah, Mason, Daniel, Jacob, and Ava. As Noah put it, \"if Daniel is a sinner then ((Ava is a saint and Jacob is a saint) if and only if (Ava is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1844, \"statements\": [[\"->\", [\"lying\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"tellin... | {"split": "train", "index": 15178} |
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: Ethan, Matthew, Henry, Aiden, and Jacob. \"(it is not the case that (Matthew is a knight or Aiden is a knight)) and ((if Henry is a knave then Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1845, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"<... | {"split": "train", "index": 15179} |
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, Ella, Samuel, Grace, and Emily. Joseph was heard saying, \"((Emily is a knight or Samuel is a knave) or (if Joseph is a knight then Samuel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1846, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 0]], [\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 15180} |
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, Chloe, Mason, David, and Sebastian. \"Sebastian is an altruist\" - Aria. Chloe stated, \"David is an altruist\". \"(if (Aria is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1847, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"lying\", 3]], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"lying\", 0]], [\"or\", [\"and\", [\"... | {"split": "train", "index": 15181} |
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: Charlotte, Emma, Michael, Sophia, and James. Charlotte noted, \"((if Michael is a saint then Sophia is a saint) if and only if (Charlotte is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1848, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 1]]]], [\"<=>\", [\"or\", [\"<=>\", [\"lyi... | {"split": "train", "index": 15182} |
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, Michael, Grace, Ethan, and Penelope. William remarked, \"if Penelope is a saint then ((if Michael is a saint then Penelope is a saint) and G... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1849, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"not\", [... | {"split": "train", "index": 15183} |
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, Harper, Mia, Lily, and Mason. \"((if Mason is an altruist then Lily is an egoist) and Mia is an egoist) and (if (if Mason is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1850, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"lying\", 2]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]... | {"split": "train", "index": 15184} |
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: Chloe, Joseph, Jack, Scarlett, and Luke. \"it is not the case that ((Joseph is a fool if and only if Luke is a fool) if and only if (Joseph is a sage if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1851, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"not\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 2]]],... | {"split": "train", "index": 15185} |
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: Sophia, Benjamin, Charlotte, Elizabeth, and James. \"(if (Charlotte is a villain and Benjamin is a villain) then (if Elizabeth is a villain then Char... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1852, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"lying\", 4]], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"tellin... | {"split": "train", "index": 15186} |
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: Matthew, Ava, Sofia, Michael, and Ethan. Matthew expressed that ((Ava is an egoist and Ava is an altruist) and (Ethan is an egoist if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1853, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-t... | {"split": "train", "index": 15187} |
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, Jack, Matthew, Amelia, and Riley. Aurora noted, \"Riley is a knight or ((Jack is a knight) or (Matthew is a knight or Jack is a knave))\". Ac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1854, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"<=>\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"or\", ... | {"split": "train", "index": 15188} |
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: Penelope, Mason, Ethan, Sofia, and David. Penelope commented, \"it is not the case that (if (Ethan is an angel and Sofia is a devil) then David is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1855, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 4]]], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]]], [\... | {"split": "train", "index": 15189} |
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: Aria, Evelyn, Riley, Noah, and Oliver. Aria remarked, \"Evelyn is a sage or (it is not the case that (Noah is a sage if and only if Evelyn is a fool))\". E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1856, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"or\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"te... | {"split": "train", "index": 15190} |
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, Victoria, Chloe, Logan, and Aiden. Sofia expressed that Chloe is a saint. \"Logan is a saint\" - Victoria. As Chloe put it, \"((if Sofia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1857, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"lying\"... | {"split": "train", "index": 15191} |
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, Jacob, Oliver, Michael, and Aria. \"(if (Jacob is a hero or Oliver is a villain) then (Michael is a villain or Oliver is a villain)) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1858, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3... | {"split": "train", "index": 15192} |
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: Aiden, Penelope, Harper, Grace, and Scarlett. Aiden remarked, \"if Scarlett is a villain then Penelope is a villain\". Penelope was heard saying, \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1859, \"statements\": [[\"->\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 15193} |
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, Charlotte, Lily, Avery, and Daniel. Sophia expressed that (it is not the case that (Avery is a devil if and only if Daniel is a devil)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1860, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\... | {"split": "train", "index": 15194} |
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: Ella, Mason, Lily, Sofia, and Michael. Ella commented, \"((Mason is a knight and Mason is a knave) or Mason is a knight) if and only if (if (if Sofia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1861, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 1]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth... | {"split": "train", "index": 15195} |
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, Sophia, Lily, Emma, and Avery. Jackson told you that if (Avery is a sage and (Avery is a fool and Jackson is a sage)) then (Lily is a sage). Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1862, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"lying\", 2]]], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"... | {"split": "train", "index": 15196} |
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: David, Avery, Luke, Jack, and Sophia. David stated, \"Jack is a knave\". Avery was heard saying, \"Sophia is a knave and Jack is a knight\". Accordin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1863, \"statements\": [[\"lying\", 3], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\"... | {"split": "train", "index": 15197} |
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, Matthew, Zoey, Chloe, and David. \"it is not the case that ((Lily is a pioneer or Matthew is a laggard) if and only if (David is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1864, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"lying\", 0]], [\"lying\", 3], [\"<=>\", [\"not\", [\"->\", [... | {"split": "train", "index": 15198} |
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: Grace, Noah, Luke, Oliver, and Ava. In a statement by Grace: \"Oliver is a laggard if and only if (it is not the case that (if Ava is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1865, \"statements\": [[\"<=>\", [\"lying\", 3], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 2]]]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", ... | {"split": "train", "index": 15199} |
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