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 pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Noah, Grace, Aiden, Lily, and Daniel. As Noah put it, \"((Daniel is a laggard) and (if Aiden is a laggard then Noah is a pioneer) and (if Danie... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1444, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 2... | {"split": "train", "index": 17000} |
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: Emma, Lucas, Emily, Chloe, and Penelope. \"Chloe is a hero,\" Emma declared. According to Lucas, \"if (Penelope is a villain or (Emily is a hero)) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1445, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"or\", [\"lying\", 4], [\"not\", [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]... | {"split": "train", "index": 17001} |
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: David, Logan, Jack, Isabella, and Luke. David noted, \"if ((if Logan is a villain then Isabella is a villain) and (Luke is a villain if and only if L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1446, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"<=>\", [\"telling-truth... | {"split": "train", "index": 17002} |
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: Logan, Penelope, Jacob, Ethan, and Jackson. \"Penelope is a pioneer or (Penelope is a pioneer if and only if (Logan is a pioneer or Jacob is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1447, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"and\", [\"telling-truth\", 3... | {"split": "train", "index": 17003} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Elizabeth, Matthew, Michael, Avery, and Charlotte. Elizabeth remarked, \"Avery is a devil\". \"it is not the case that (if (Avery is a devil) then (Mic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1448, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"not\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"or\", [\"te... | {"split": "train", "index": 17004} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ethan, Daniel, Avery, Jackson, and Olivia. Ethan said that Olivia is an angel. Daniel stated, \"(it is not the case that (if Jackson is a devil then Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1449, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"o... | {"split": "train", "index": 17005} |
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: Benjamin, Sofia, Chloe, Riley, and Grace. \"Riley is a devil,\" Benjamin mentioned. In Sofia's words: \"it is not the case that ((Riley is a devil) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1450, \"statements\": [[\"lying\", 3], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 2]]]], [\"telling-truth\", 1], [\"->... | {"split": "train", "index": 17006} |
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, Mia, Sofia, Luke, and Mason. In Avery's words: \"Mia is a saint\". Mia told you that Avery is a saint and Sofia is a sinner and ((Sofia is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1451, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"not\",... | {"split": "train", "index": 17007} |
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: Henry, Owen, Liam, Mia, and Sophia. Henry stated, \"Owen is an altruist\". \"Sophia is an egoist,\" Owen claimed. Liam expressed that Henry is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1452, \"statements\": [[\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 0], [\"and\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\"... | {"split": "train", "index": 17008} |
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: Ava, Liam, Lily, Riley, and Evelyn. In Ava's words: \"if (it is not the case that (Lily is a laggard or Liam is a pioneer)) then (if (Evelyn is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1453, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"telling-truth\", 4... | {"split": "train", "index": 17009} |
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, Aria, Daniel, Jacob, and William. According to Victoria, \"(if (Aria is a knave or Victoria is a knight) then (Daniel is a knave or Daniel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1454, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 3]]]], [\"not\", [\"... | {"split": "train", "index": 17010} |
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: Logan, Isabella, Samuel, Scarlett, and Sophia. Logan was heard saying, \"((if Isabella is an angel then Sophia is a devil) or (Sophia is an angel and I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1455, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]],... | {"split": "train", "index": 17011} |
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, Daniel, Benjamin, Aurora, and Scarlett. Lily noted, \"((Aurora is a villain) if and only if (Scarlett is a villain)) or (if (if Benjamin is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1456, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 1]]], [\"lying\", 4]], [\"and\", [\"or\"... | {"split": "train", "index": 17012} |
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, Mason, Daniel, Jackson, and Evelyn. Penelope told you that Penelope is a pioneer. Mason remarked, \"Penelope is a laggard\". Daniel t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1457, \"statements\": [[\"telling-truth\", 0], [\"lying\", 0], [\"not\", [\"and\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 3]]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"lying\", 2], [\"telling-tr... | {"split": "train", "index": 17013} |
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, Joseph, Riley, Henry, and William. \"(if (if Joseph is an angel then William is an angel) then (Joseph is a devil and Riley is an angel and W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1458, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"lying\", 3], ... | {"split": "train", "index": 17014} |
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, Lily, Ella, Sofia, and Grace. According to Mia, \"it is not the case that (if (Lily is a hero and Ella is a hero and Grace is a hero) then (Ella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1459, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 4]]]], [\"telling-truth\", 4], [\"<=>\"... | {"split": "train", "index": 17015} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Isabella, Victoria, Harper, Benjamin, and William. \"it is not the case that (William is a fool),\" Isabella claimed. Victoria stated, \"Benjamin is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1460, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 3], [\"lying\", 1], [\"and\", [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"lying\", 2], [\"or\", [\"telling-truth\", 2], [\"lying\",... | {"split": "train", "index": 17016} |
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, Jack, Aurora, Michael, and Evelyn. \"(if (Aurora is a saint and Penelope is a saint) then (Jack is a sinner and Aurora is a saint)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1461, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 2]], [\"and\", [\"not\", [\"or\", [\"lying\", 3], [\"... | {"split": "train", "index": 17017} |
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, Evelyn, Zoey, Alexander, and Daniel. Benjamin commented, \"((Alexander is an egoist or Zoey is an altruist) or (Daniel is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1462, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\... | {"split": "train", "index": 17018} |
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, Matthew, Evelyn, Samuel, and Aurora. \"if Samuel is a saint then Sebastian is a saint,\" Sebastian declared. \"Sebastian is a saint,\" Mat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1463, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 0], [\"not\", [\"lying\", 4]], [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [\"and\", [\"->\", [\"telling-truth\"... | {"split": "train", "index": 17019} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Samuel, Mia, Chloe, and Charlotte. Penelope told you that ((Mia is a knave and Mia is a knight and Charlotte is a knight) and (Charlotte is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1464, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"te... | {"split": "train", "index": 17020} |
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, Scarlett, William, Alexander, and Liam. \"((if William is a pioneer then Alexander is a laggard) and (William is a laggard if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1465, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 2], [... | {"split": "train", "index": 17021} |
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: Ava, Charlotte, Alexander, Harper, and Emma. Ava was heard saying, \"(Alexander is a knave and (if Emma is a knight then Charlotte is a knave)) or ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1466, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"or\", [\... | {"split": "train", "index": 17022} |
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: Liam, Oliver, Jackson, Jacob, and Evelyn. Liam said that ((Jacob is a knight if and only if Liam is a knight) or (Evelyn is a knave if and only if Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1467, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\... | {"split": "train", "index": 17023} |
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, Riley, Lucas, Lily, and Henry. Mia expressed that ((Lucas is a villain or Lucas is a hero) if and only if (if Lily is a hero then Henry is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1468, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telli... | {"split": "train", "index": 17024} |
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, Mia, Abigail, Alexander, and Elizabeth. In a statement by Sofia: \"it is not the case that ((Elizabeth is a devil and Mia is an angel and Alexan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1469, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"or\", [\"te... | {"split": "train", "index": 17025} |
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, Chloe, Riley, Evelyn, and Aiden. \"Riley is a knave or Chloe is a knight or (if Chloe is a knave then (Evelyn is a knight if and only if Aiden... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1470, \"statements\": [[\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"->\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"and\", [\"telling-truth\", 3], [\"and\", [\"not\", [\"telling-tru... | {"split": "train", "index": 17026} |
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: Emily, Victoria, Lily, Sofia, and Emma. As Emily put it, \"(it is not the case that (Lily is a laggard and Sofia is a pioneer and Emily is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1471, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]... | {"split": "train", "index": 17027} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Liam, Mason, Victoria, Logan, and Olivia. Liam was heard saying, \"if (Mason is a villain if and only if Victoria is a hero) then (if (if Liam is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1472, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]]], [\"and\", [\"and\", [\"->\", [\"telling-truth\"... | {"split": "train", "index": 17028} |
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, Henry, Oliver, Samuel, and Emily. Sophia stated, \"it is not the case that (Oliver is a sage and (Emily is a fool) and (Oliver is a sage))\". Henry... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1473, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 17029} |
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, Jack, Olivia, Jacob, and Evelyn. Riley told you that ((Evelyn is a pioneer if and only if Olivia is a laggard) if and only if (Evelyn is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1474, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]]... | {"split": "train", "index": 17030} |
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: William, Owen, Luke, Alexander, and Scarlett. \"Luke is a sage,\" William mentioned. \"if ((Owen is a sage and William is a sage and Luke is a fool) and (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1475, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\... | {"split": "train", "index": 17031} |
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: Mason, Jackson, Luke, Emily, and Emma. In Mason's words: \"if (it is not the case that (Luke is a knave)) then ((Emma is a knight) or Jackson is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1476, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 4]], [\"lying\", 1], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"<=>\", [\"not\", [\"or\", [\"telling-tru... | {"split": "train", "index": 17032} |
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, Emma, Joseph, Penelope, and James. Isabella said that Joseph is a knave. Emma asserted: \"Emma is a knight\". Joseph commented, \"(it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1477, \"statements\": [[\"lying\", 2], [\"telling-truth\", 1], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 1]]], [\"or\", [\"lying\", 4], [\"<=>\", [... | {"split": "train", "index": 17033} |
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: Jacob, Sebastian, Chloe, Amelia, and Sofia. Jacob said that (if Amelia is a hero then (if Sofia is a hero then Chloe is a villain)) and Chloe is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1478, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"telling-truth\", 2], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1],... | {"split": "train", "index": 17034} |
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: Abigail, Jacob, Mason, Aiden, and Victoria. Abigail commented, \"if (if (Abigail is an egoist) then (if Aiden is an altruist then Mason is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1479, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2... | {"split": "train", "index": 17035} |
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: Grace, William, Emma, Abigail, and Lily. As Grace put it, \"Abigail is an egoist\". William was heard saying, \"Abigail is an altruist\". Emma ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1480, \"statements\": [[\"lying\", 3], [\"telling-truth\", 3], [\"or\", [\"->\", [\"lying\", 1], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 3], [\"not\", [\"telling-truth\", 3]]], [\"or\",... | {"split": "train", "index": 17036} |
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, Charlotte, Emily, Jackson, and Avery. William asserted: \"Emily is a saint if and only if (it is not the case that (Charlotte is a sinner or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1481, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 4]]]], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-t... | {"split": "train", "index": 17037} |
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: Harper, Ethan, Chloe, Benjamin, and Michael. Harper remarked, \"Benjamin is a sinner\". \"Benjamin is a saint,\" Ethan declared. In Chloe's words: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1482, \"statements\": [[\"lying\", 3], [\"telling-truth\", 3], [\"->\", [\"->\", [\"lying\", 3], [\"not\", [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 3]]], [\"or\", [\"<=>... | {"split": "train", "index": 17038} |
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: Zoey, Avery, Scarlett, Lucas, and Luke. Zoey commented, \"Avery is a devil or ((if Avery is an angel then Zoey is an angel) if and only if (Lucas is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1483, \"statements\": [[\"or\", [\"lying\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 0]]]], [\"lying\", 3], [\"telling-truth\", 0], [\... | {"split": "train", "index": 17039} |
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, David, Lucas, Isabella, and Amelia. \"Amelia is a villain,\" James declared. David asserted: \"if (if (if David is a hero then Amelia is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1484, \"statements\": [[\"lying\", 4], [\"->\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"or\", [\"and\", [\"not\", [\"lying\", 0]], [\"or\", [\"lying\", 1]... | {"split": "train", "index": 17040} |
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: Sophia, James, Jack, Riley, and Aiden. Sophia noted, \"Riley is a pioneer\". James said, \"((if James is a pioneer then Aiden is a laggard) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1485, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 0]]], [\"->\", [\"telling-truth\", 0], [\"not\", [\"lying\", 0]]]], [\"and\", [\"->\", [... | {"split": "train", "index": 17041} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Jack, Luke, Sebastian, and Mia. Benjamin expressed that (it is not the case that (Mia is a knight if and only if Sebastian is a knight)) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1486, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"or\", [... | {"split": "train", "index": 17042} |
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, Olivia, Amelia, Mason, and Jack. Lucas stated, \"(if (Amelia is an egoist and Jack is an egoist and Olivia is an altruist) then (Lucas i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1487, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-tru... | {"split": "train", "index": 17043} |
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, Chloe, Ethan, Lily, and Avery. According to Benjamin, \"((Ethan is an egoist if and only if Benjamin is an altruist) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1488, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 2]]]], [... | {"split": "train", "index": 17044} |
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, Mason, Olivia, Evelyn, and Owen. In a statement by Michael: \"Mason is a sinner\". In Mason's words: \"(it is not the case that (Owen is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1489, \"statements\": [[\"lying\", 1], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"ly... | {"split": "train", "index": 17045} |
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, Daniel, Chloe, Charlotte, and Jackson. Mason commented, \"if ((Chloe is an altruist if and only if Daniel is an egoist) and Chloe is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1490, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"telling-truth\", 2]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth... | {"split": "train", "index": 17046} |
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: Abigail, Aurora, Olivia, David, and Jacob. \"if (it is not the case that (David is a knight and Jacob is a knight and Olivia is a knight)) then ((Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1491, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4... | {"split": "train", "index": 17047} |
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: Riley, Aiden, Jacob, Joseph, and Logan. In a statement by Riley: \"Logan is a sinner and Joseph is a sinner\". \"Riley is a sinner\" - Aiden. \"Riley... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1492, \"statements\": [[\"and\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 0], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-trut... | {"split": "train", "index": 17048} |
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, Olivia, Aria, Liam, and Avery. In Jack's words: \"Liam is a sinner\". In Olivia's words: \"Aria is a saint and (Jack is a sinner) and ((Olivia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1493, \"statements\": [[\"lying\", 3], [\"and\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], ... | {"split": "train", "index": 17049} |
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: Henry, Benjamin, Aurora, Matthew, and Riley. In Henry's words: \"(if (Aurora is an angel if and only if Aurora is a devil) then (Matthew is an angel)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1494, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 1]]], [\"or\", [\"not\", ... | {"split": "train", "index": 17050} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Samuel, Charlotte, Aria, and Oliver. In Riley's words: \"((Samuel is a knight) and (Charlotte is a knight)) or (Samuel is a knight if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1495, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"te... | {"split": "train", "index": 17051} |
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, Ethan, Sofia, William, and Daniel. \"(William is a hero or (Sofia is a hero)) or William is a villain,\" Luke claimed. Ethan expressed that ((i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1496, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"not\", [\"lying\", 2]]], [\"lying\", 3]], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"telling-truth\", 1], [\"telling-trut... | {"split": "train", "index": 17052} |
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: Avery, Owen, Olivia, Samuel, and Penelope. In a statement by Avery: \"if Owen is a knave then (it is not the case that (Samuel is a knight))\". Owen ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1497, \"statements\": [[\"->\", [\"lying\", 1], [\"not\", [\"not\", [\"lying\", 3]]]], [\"<=>\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", ... | {"split": "train", "index": 17053} |
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, Jacob, Emma, Henry, and Luke. Jackson noted, \"it is not the case that (if (Jacob is a knave if and only if Emma is a knave) then Luke is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1498, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"lying\", 4]]], [\"and\", [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 0]], [\"not\", [\... | {"split": "train", "index": 17054} |
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, Sofia, Victoria, Alexander, and Chloe. \"((Alexander is a saint and Victoria is a saint) if and only if (if Noah is a saint then Victoria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1499, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 2]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 4], [\"... | {"split": "train", "index": 17055} |
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: Emma, Victoria, Aria, Amelia, and Henry. \"it is not the case that ((if Amelia is an egoist then Aria is an altruist) or (Henry is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1500, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3]]]], [\"telling-truth\", 4], [\"->\", [\"->\", [\"->\", [\"tell... | {"split": "train", "index": 17056} |
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: Evelyn, Liam, Luke, Grace, and Owen. Evelyn told you that if ((Evelyn is an egoist) and (Evelyn is an altruist if and only if Grace is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1501, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"l... | {"split": "train", "index": 17057} |
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: Harper, Michael, Scarlett, Aurora, and Evelyn. According to Harper, \"((Harper is an altruist and Scarlett is an egoist and Michael is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1502, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\",... | {"split": "train", "index": 17058} |
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, Noah, Alexander, Michael, and Oliver. \"(Noah is a knave or Noah is a knight) if and only if (Alexander is a knave if and only if (Alexande... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1503, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", ... | {"split": "train", "index": 17059} |
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: Scarlett, Sophia, William, Owen, and Mia. Scarlett asserted: \"(if Owen is a fool then (William is a fool or Mia is a fool or Sophia is a fool)) and Owen i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1504, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 1]]], [\"lying\", 3]], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"not\", [\"or\", [\"not\", [\"lying\", 0]]... | {"split": "train", "index": 17060} |
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: Ava, Aiden, Logan, Sebastian, and Sofia. Ava said, \"((if Logan is a villain then Ava is a hero) or (if Sofia is a villain then Logan is a villain)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1505, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]]], [\"lying\", 0], [\"... | {"split": "train", "index": 17061} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Grace, Alexander, Oliver, Emily, and Luke. \"((Luke is an angel and Alexander is a devil and Emily is an angel) and Alexander is a devil and (Emily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1506, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 3]], [\"lying\", 1], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"tel... | {"split": "train", "index": 17062} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Samuel, Ella, Isabella, Oliver, and Daniel. \"if ((Isabella is an altruist if and only if Daniel is an egoist) and (Isabella is an altruist and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1507, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"or\", [\"tel... | {"split": "train", "index": 17063} |
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: Chloe, Amelia, Emma, Luke, and Sofia. \"((Amelia is an egoist and Sofia is an altruist) and (Emma is an egoist or Amelia is an egoist) and (Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1508, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 17064} |
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: Alexander, Harper, Ethan, Owen, and Zoey. Alexander was heard saying, \"it is not the case that (Harper is a laggard and (if Harper is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1509, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"->\", [\"lying\", 1], [\"lying\", 4]]]], [\"and\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"lying\", 2]]], [\"or\", ... | {"split": "train", "index": 17065} |
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, Noah, Sebastian, Mason, and Alexander. Jacob said that Alexander is a saint. Noah remarked, \"Sebastian is a sinner or (it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1510, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"lying\", 2], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-tr... | {"split": "train", "index": 17066} |
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, Abigail, Henry, Isabella, and Logan. Michael expressed that if (if (Abigail is a fool or Henry is a sage) then (Isabella is a sage and Isabella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1511, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 2], ... | {"split": "train", "index": 17067} |
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, Elizabeth, Ethan, Ava, and Zoey. In a statement by Grace: \"((Grace is a pioneer or Zoey is a pioneer) and (Ava is a pioneer or Elizabet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1512, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"lying\... | {"split": "train", "index": 17068} |
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: Samuel, Ella, Daniel, Oliver, and David. Samuel commented, \"((Daniel is a hero or Daniel is a villain) and (Daniel is a villain if and only if David... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1513, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-... | {"split": "train", "index": 17069} |
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: Amelia, Olivia, Michael, Evelyn, and Riley. Amelia expressed that it is not the case that ((if Michael is a knave then Riley is a knave) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1514, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 1]]]], [\"telling-truth\", 4], [\"->\", [\"->\", [\"not\", [\"lying\", 0... | {"split": "train", "index": 17070} |
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: Harper, Ella, Aria, Joseph, and Sebastian. Harper noted, \"Ella is a sinner and (Sebastian is a sinner or (Ella is a sinner or Sebastian is a sinner ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1515, \"statements\": [[\"and\", [\"lying\", 1], [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 2]]]], [\"lying\", 4], [\"not\", [\"not\", [\"lyi... | {"split": "train", "index": 17071} |
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, Mia, Lucas, Aurora, and Aiden. Harper said that Lucas is a villain. Mia expressed that (Aurora is a villain or Mia is a hero or (Harper is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1516, \"statements\": [[\"lying\", 2], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"or\", [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"not\",... | {"split": "train", "index": 17072} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Scarlett, Henry, Matthew, and Elizabeth. According to Penelope, \"((Henry is a knight) or Elizabeth is a knight) if and only if ((Scarlett ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1517, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]]], [\"or\", [\"or\", [\"->\", [\"telling-trut... | {"split": "train", "index": 17073} |
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: Sebastian, Grace, Riley, Chloe, and Victoria. As Sebastian put it, \"Chloe is a knight\". \"(it is not the case that (Sebastian is a knave if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1518, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]]], [\"... | {"split": "train", "index": 17074} |
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: Lily, Grace, Aria, Sophia, and Penelope. Lily remarked, \"(if (Grace is a knave if and only if Aria is a knight) then (Sophia is a knave or Lily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1519, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]... | {"split": "train", "index": 17075} |
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: Joseph, Isabella, Lucas, William, and Owen. According to Joseph, \"if (if (Isabella is a sinner and Isabella is a saint and William is a saint) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1520, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"and\... | {"split": "train", "index": 17076} |
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, Benjamin, Sophia, Charlotte, and Ethan. Jackson said that ((if Ethan is a fool then Charlotte is a sage) or (Ethan is a sage if and only if Benjam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1521, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 4]]]], [\"<=>\", [\"and\", [\"lying\", 0],... | {"split": "train", "index": 17077} |
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, Abigail, Ethan, David, and Olivia. Ava expressed that Ethan is an egoist. According to Abigail, \"Ethan is an altruist\". As Ethan put it,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1522, \"statements\": [[\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 4], [\"and\", [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 1],... | {"split": "train", "index": 17078} |
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, Luke, Matthew, Mia, and Benjamin. Grace said that Benjamin is a laggard. Luke remarked, \"Grace is a pioneer\". Matthew stated, \"((Luke... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1523, \"statements\": [[\"lying\", 4], [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"not\... | {"split": "train", "index": 17079} |
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: Noah, Sophia, Evelyn, Sebastian, and Joseph. \"if ((Noah is a hero and Joseph is a villain and Evelyn is a hero) if and only if (Evelyn is a villain)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1524, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"tel... | {"split": "train", "index": 17080} |
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: Amelia, Sophia, Benjamin, Emma, and James. Amelia remarked, \"if ((Benjamin is an angel if and only if Sophia is a devil) if and only if (if Amelia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1525, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 1]... | {"split": "train", "index": 17081} |
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: Emma, David, Mason, Matthew, and Sofia. Emma expressed that if (it is not the case that (if Mason is a pioneer then Sofia is a laggard)) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1526, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\",... | {"split": "train", "index": 17082} |
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, Logan, Liam, Daniel, and Emily. \"it is not the case that (it is not the case that (Logan is a pioneer and Daniel is a pioneer))\" - Aid... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1527, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"t... | {"split": "train", "index": 17083} |
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, Jack, Olivia, Abigail, and Sofia. Sophia expressed that if ((Olivia is a fool or Jack is a sage or Jack is a fool) and (if Abigail is a sage then J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1528, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lyin... | {"split": "train", "index": 17084} |
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, Henry, William, Daniel, and Ava. \"William is a knight,\" Sophia declared. According to Henry, \"William is a knight if and only if William i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1529, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\"... | {"split": "train", "index": 17085} |
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, Samuel, Luke, Ethan, and Matthew. Victoria was heard saying, \"Ethan is a sinner\". According to Samuel, \"if ((if Ethan is a saint then Vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1530, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"->\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"-... | {"split": "train", "index": 17086} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, James, Oliver, Owen, and Jackson. According to Benjamin, \"if (if (if Owen is a knight then Owen is a knave) then (Owen is a knave and Benj... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1531, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 17087} |
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, Sophia, Jackson, Amelia, and Mason. \"it is not the case that ((Sophia is an altruist if and only if Sophia is an egoist) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1532, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"telling-truth\", 4], [\"or\", [\"or\", [\"->... | {"split": "train", "index": 17088} |
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, David, Samuel, Avery, and Benjamin. In a statement by Elizabeth: \"Benjamin is a pioneer\". \"(it is not the case that (Samuel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1533, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"telling-truth\", 0], [... | {"split": "train", "index": 17089} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ethan, Mason, Alexander, Ava, and Sofia. Ethan noted, \"if (it is not the case that (Mason is an angel if and only if Alexander is an angel)) then (it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1534, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 1]]]], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 1], [\"an... | {"split": "train", "index": 17090} |
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, Ella, Oliver, David, and Liam. Grace was heard saying, \"it is not the case that (Grace is a laggard)\". As Ella put it, \"((Oliver is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1535, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 17091} |
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: Zoey, Lily, Logan, Owen, and Jacob. Zoey expressed that Jacob is a villain if and only if (Logan is a hero and (Jacob is a villain and Owen is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1536, \"statements\": [[\"<=>\", [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 2]]]], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"lyi... | {"split": "train", "index": 17092} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Samuel, Jackson, David, and Henry. As Elizabeth put it, \"(if (Henry is a knight) then Jackson is a knight) or (it is not the case that (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1537, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 2]], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"telling-truth\", 2], [\"telling-truth\", 3], [\"and\", [\"->\", [\"or\", [\"telling... | {"split": "train", "index": 17093} |
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, Isabella, Zoey, Jackson, and Amelia. Noah noted, \"Jackson is a sage\". Isabella told you that ((Jackson is a fool if and only if Amelia is a sage) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1538, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\"and\", [\"lying\", ... | {"split": "train", "index": 17094} |
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, Jackson, Lily, David, and Jack. \"Jackson is a knave and ((Jackson is a knight and Jack is a knight) and Sophia is a knight)\" - Sophia. Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1539, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"ly... | {"split": "train", "index": 17095} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Zoey, Jacob, William, Penelope, and Aurora. According to Zoey, \"(if (Zoey is a saint if and only if Aurora is a saint) then (Penelope is a sinner an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1540, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 1]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]... | {"split": "train", "index": 17096} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Samuel, Avery, Luke, Chloe, and Ella. In Samuel's words: \"Luke is an egoist\". Avery remarked, \"((Luke is an egoist or Chloe is an altruist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1541, \"statements\": [[\"lying\", 2], [\"and\", [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"ly... | {"split": "train", "index": 17097} |
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, Aria, Emily, Scarlett, and Sophia. Aiden remarked, \"Scarlett is an altruist or Emily is an egoist or (if (Emily is an egoist and Sophia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1542, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3... | {"split": "train", "index": 17098} |
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, Oliver, Mia, Joseph, and Benjamin. Jackson stated, \"Mia is a villain and ((Benjamin is a hero or Oliver is a villain) or Mia is a villain o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1543, \"statements\": [[\"and\", [\"lying\", 2], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"lying\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"lying\", 2], [\"<=>\", [\"or\", [\"and\", [\"te... | {"split": "train", "index": 17099} |
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