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: Daniel, Mason, Ethan, James, and Aurora. In a statement by Daniel: \"it is not the case that (Aurora is an altruist or (Mason is an egoist) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1544, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"telling-truth\", 4], [\"lying\", 1], [\"<=>\", [\"->\", [\"and\", [\"t... | {"split": "train", "index": 17100} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Logan, Aurora, Victoria, Emma, and Noah. In a statement by Logan: \"(Victoria is a fool or (Victoria is a sage) or (Emma is a sage if and only if Victoria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1545, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 17101} |
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, Abigail, Mia, Emily, and Lily. As Jacob put it, \"Mia is a devil\". Abigail told you that if (if (Jacob is an angel and Jacob is a devil) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1546, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"lying\", 0], [\"and\", [\"telling-truth\", 4], [\"telling-... | {"split": "train", "index": 17102} |
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: Avery, Aiden, Chloe, Abigail, and Jackson. According to Avery, \"it is not the case that (if (Chloe is a villain if and only if Jackson is a villain)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1547, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2]]]], [\"or\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2... | {"split": "train", "index": 17103} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Riley, Lily, Emily, and Matthew. \"it is not the case that ((Matthew is a laggard if and only if Emily is a laggard) if and only if (Matt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1548, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]]], [\"lying\", 2], [\"and\", [\"or\", [\"telling-truth\", 1], [\"->\", [\"lying\", 3], [\"telling-truth\",... | {"split": "train", "index": 17104} |
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: Owen, William, Penelope, Jacob, and Lily. According to Owen, \"it is not the case that (it is not the case that (William is a saint and Lily is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1549, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 0]]]], [\"->\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"not\", [\"lying\", 0]]], [... | {"split": "train", "index": 17105} |
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, Charlotte, Ava, Aria, and Liam. As David put it, \"if (Aria is a knight if and only if (Ava is a knave or Ava is a knight or David is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1550, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\",... | {"split": "train", "index": 17106} |
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, Ethan, James, Joseph, and Benjamin. Ava noted, \"((Ethan is an egoist or James is an altruist or James is an egoist) and (Ethan is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1551, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 2], [\"->\", ... | {"split": "train", "index": 17107} |
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: Olivia, Alexander, Harper, Emily, and Liam. As Olivia put it, \"((if Liam is a laggard then Alexander is a laggard) and (Alexander is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1552, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"lying\", 3]], [\"or\", [\"or\", [\"no... | {"split": "train", "index": 17108} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lucas, Avery, Alexander, Riley, and Isabella. \"((Lucas is a sage or Alexander is a fool) and (Alexander is a fool and Riley is a fool and Avery is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1553, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 3], [\"lying\", 1]]], [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"or\", [\"->\", [\"telling-tr... | {"split": "train", "index": 17109} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Oliver, Evelyn, Aiden, and Noah. Logan stated, \"it is not the case that ((Evelyn is a knave) or Logan is a knight or (if Oliver is a knave th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1554, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"->\", [\"lying\", 1], [\"lying\", 4]]]], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", ... | {"split": "train", "index": 17110} |
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, Noah, Emma, Sofia, and Sebastian. \"(if Emma is an egoist then (Sofia is an egoist or Victoria is an altruist or Noah is an egoist)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1555, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 17111} |
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: Oliver, Samuel, Ethan, Sofia, and Abigail. Oliver expressed that ((Ethan is a sinner and Abigail is a saint and Ethan is a saint) and (Sofia is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1556, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", ... | {"split": "train", "index": 17112} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Ethan, Matthew, Alexander, and Jack. Scarlett said that if Jack is a knight then (Alexander is a knave or (Jack is a knave and Jack is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1557, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"or\", [\"lying\", 3], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"not\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]],... | {"split": "train", "index": 17113} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Emily, Sophia, Jack, and Luke. Alexander expressed that Emily is a villain and ((Alexander is a villain) and (Emily is a villain and Luke ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1558, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 2]]]], [\"not\", [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"tel... | {"split": "train", "index": 17114} |
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, Mia, Joseph, and Henry. Sebastian said that Henry is a hero. Alexander said that Sebastian is a hero. Mia said, \"it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1559, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"lying\", 1]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 17115} |
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, Jacob, Olivia, Samuel, and Elizabeth. Victoria remarked, \"if (it is not the case that (Olivia is a pioneer or Jacob is a pioneer)) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1560, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"<=>\", [\"lying\", 4], [\"not\", [\"->\", [\"telling-truth\"... | {"split": "train", "index": 17116} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emily, Luke, Charlotte, Lily, and William. In Emily's words: \"Lily is a hero and ((Charlotte is a hero and Luke is a villain) and (William is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1561, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"<=>\", ... | {"split": "train", "index": 17117} |
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, Michael, Aurora, Olivia, and Ethan. Ella commented, \"it is not the case that ((Aurora is a knave and Aurora is a knight and Ethan is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1562, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 4]]]], [\"telling-t... | {"split": "train", "index": 17118} |
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, Penelope, Mason, and Amelia. Liam remarked, \"((Amelia is a knight if and only if Penelope is a knight) or (Amelia is a knave)) or (it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1563, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 3]]]], [\"or\", [\"... | {"split": "train", "index": 17119} |
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, Jacob, Elizabeth, Liam, and Evelyn. Harper stated, \"(it is not the case that (if Liam is a saint then Evelyn is a sinner)) or (if (Liam is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1564, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-t... | {"split": "train", "index": 17120} |
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, Charlotte, Abigail, Daniel, and Sophia. Logan expressed that Sophia is an angel or ((Abigail is a devil or Logan is an angel or Sophia is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1565, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 3]]]], [\"<=>\", [... | {"split": "train", "index": 17121} |
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, Chloe, Joseph, Riley, and Olivia. Jackson was heard saying, \"it is not the case that ((if Olivia is a knight then Jackson is a knight) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1566, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 1]]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 0... | {"split": "train", "index": 17122} |
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, Alexander, Jacob, Luke, and Chloe. \"Riley is a saint\" - Riley. Alexander said, \"it is not the case that (if (Jacob is a saint) then (Chloe ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1567, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth... | {"split": "train", "index": 17123} |
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, Lucas, Alexander, Penelope, and Oliver. As Aiden put it, \"Alexander is a villain or (Alexander is a hero if and only if (if Penelope is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1568, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"tell... | {"split": "train", "index": 17124} |
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: James, Riley, Elizabeth, Victoria, and Daniel. James commented, \"James is a sage\". \"(it is not the case that (Elizabeth is a fool or Elizabeth is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1569, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 4]]], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 0]... | {"split": "train", "index": 17125} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Henry, Victoria, Daniel, Benjamin, and Joseph. Henry stated, \"Victoria is a hero and Benjamin is a villain and ((Henry is a villain) and (if Joseph ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1570, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"lying\", 4], [\"and\", [\"telling-truth\", 4], [\"not... | {"split": "train", "index": 17126} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Evelyn, Daniel, Oliver, Abigail, and Amelia. Evelyn asserted: \"it is not the case that ((Oliver is a sinner and Evelyn is a saint) or (Abigail is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1571, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"l... | {"split": "train", "index": 17127} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Penelope, Joseph, Jack, Mason, and Noah. Penelope said that it is not the case that ((Mason is a villain and Jack is a villain and Jack is a hero) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1572, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"->\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4... | {"split": "train", "index": 17128} |
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: Michael, Grace, Joseph, Matthew, and Lucas. As Michael put it, \"(it is not the case that (Joseph is a knight or Joseph is a knave)) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1573, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 17129} |
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, Liam, Isabella, Alexander, and Noah. As Emma put it, \"if ((Noah is an altruist if and only if Emma is an altruist) if and only if Alexan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1574, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 3]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]... | {"split": "train", "index": 17130} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Avery, Grace, Ella, Penelope, and Abigail. As Avery put it, \"Penelope is a sinner\". As Grace put it, \"(it is not the case that (if Abigail is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1575, \"statements\": [[\"lying\", 3], [\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4],... | {"split": "train", "index": 17131} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Henry, Luke, Alexander, Amelia, and Jacob. According to Henry, \"Jacob is a villain\". Luke noted, \"((Luke is a hero and Amelia is a hero) and (Henr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1576, \"statements\": [[\"lying\", 4], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]], [\"lying\", 4]], [\"telling-truth\", 0], [\"->\", [\"not\", [\"lying\", 2... | {"split": "train", "index": 17132} |
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: Jack, Alexander, Mia, Samuel, and Joseph. Jack expressed that (it is not the case that (Samuel is a knight if and only if Mia is a knave)) or (Mia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1577, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"lying\", 2], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"or\", [\"telling-truth\", 1], [\"->\", [\"and\", [\"... | {"split": "train", "index": 17133} |
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, Aria, Olivia, Riley, and Avery. Victoria asserted: \"it is not the case that ((Victoria is a saint and Aria is a saint) or (Riley is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1578, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 4]]]], [\"or\"... | {"split": "train", "index": 17134} |
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, Jack, Ethan, Lily, and Henry. Amelia asserted: \"if Ethan is a knight then ((Jack is a knave and Henry is a knight and Ethan is a knave) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1579, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"<=>\", [\"no... | {"split": "train", "index": 17135} |
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, Daniel, Harper, Ella, and James. \"Ella is a knight,\" Ava mentioned. In Daniel's words: \"Ava is a knight\". Harper said that it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1580, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 0], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"->\", [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 1]]], [\"<=>\", [\"and\", ... | {"split": "train", "index": 17136} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Benjamin, Riley, Owen, and Ava. In a statement by Lucas: \"Owen is a knave and Riley is a knave and (if (Ava is a knight or Owen is a knave or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1581, \"statements\": [[\"and\", [\"lying\", 3], [\"lying\", 2], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 3]]]], [\"->\", ... | {"split": "train", "index": 17137} |
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: Sofia, Abigail, Grace, Matthew, and Lily. \"if Abigail is an altruist then Sofia is an altruist,\" Sofia declared. Abigail said, \"(it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1582, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"not\", [\"not\", [\"lying\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-... | {"split": "train", "index": 17138} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sophia, Abigail, Alexander, Ava, and Isabella. Sophia remarked, \"Isabella is a saint and ((Alexander is a sinner and Ava is a saint) or (Abigail is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1583, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"lying\", 1]]], [\"or\", [\"telling-truth\", 2], [\"or\", [\"->\... | {"split": "train", "index": 17139} |
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, Logan, Jackson, Abigail, and Jacob. \"(if (Abigail is a devil or Logan is a devil or Oliver is an angel) then (Jackson is an angel and Abigail ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1584, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"lying\", 4]], [\"->\", [\"not\", [\"lying\", 4]], [\"tel... | {"split": "train", "index": 17140} |
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, Scarlett, Oliver, Charlotte, and William. David expressed that if (David is a hero if and only if (Scarlett is a hero)) then Scarlett is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1585, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"lying\", 1]]], [\"lying\", 1]], [\"lying\", 0], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-tr... | {"split": "train", "index": 17141} |
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, James, Daniel, Ella, and Lily. Victoria noted, \"James is a sinner\". \"if ((Daniel is a saint) or Lily is a sinner or (Daniel is a saint o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1586, \"statements\": [[\"lying\", 1], [\"->\", [\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 4], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]],... | {"split": "train", "index": 17142} |
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, Mason, Ava, Noah, and Emily. Emma stated, \"if (Mason is an egoist if and only if Ava is an egoist) then (if (Noah is an egoist if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1587, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"telling-truth\", 0], [\"telling-trut... | {"split": "train", "index": 17143} |
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, David, Elizabeth, Luke, and Isabella. \"if (Luke is a sinner or (if Elizabeth is a sinner then Luke is a saint)) then ((if David is a saint the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1588, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]], [\"telling-truth... | {"split": "train", "index": 17144} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Samuel, Emma, David, and Harper. \"Emma is a knave\" - James. Samuel stated, \"((Harper is a knight if and only if David is a knight) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1589, \"statements\": [[\"lying\", 2], [\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 3], [\"->\", [\"lying\", 3], [\"lyi... | {"split": "train", "index": 17145} |
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: Harper, Benjamin, Isabella, Noah, and Aria. In a statement by Harper: \"if ((Noah is a knave and Benjamin is a knave) and Isabella is a knave and (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1590, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"lying\", 2], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-t... | {"split": "train", "index": 17146} |
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, Aiden, William, Ethan, and Penelope. Grace noted, \"it is not the case that (William is an angel or (if Penelope is a devil then Ethan is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1591, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]]], [\... | {"split": "train", "index": 17147} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Elizabeth, Penelope, Chloe, Joseph, and Noah. Elizabeth told you that Joseph is a saint. Penelope told you that Joseph is a sinner. Chloe said that E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1592, \"statements\": [[\"telling-truth\", 3], [\"lying\", 3], [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 4]]]], [\"->\", [\"or\", [\"an... | {"split": "train", "index": 17148} |
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, Jacob, Oliver, Evelyn, and Alexander. In Avery's words: \"if ((Oliver is a saint if and only if Avery is a saint) or Jacob is a sinner) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1593, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 1]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-... | {"split": "train", "index": 17149} |
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: Lucas, Daniel, Olivia, Sofia, and Lily. \"Olivia is a hero,\" Lucas claimed. In a statement by Daniel: \"Lucas is a hero\". \"(if (Daniel is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1594, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 0], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 1], [\"and\", [\"and\",... | {"split": "train", "index": 17150} |
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, Sebastian, Jack, Jacob, and Daniel. As Ella put it, \"((if Ella is a pioneer then Daniel is a laggard) if and only if (if Daniel is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1595, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]]], [\... | {"split": "train", "index": 17151} |
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: Riley, Victoria, Lucas, Ella, and Jack. \"(Jack is a fool) if and only if ((Lucas is a sage) and (if Victoria is a sage then Jack is a sage)),\" Riley ment... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1596, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"tell... | {"split": "train", "index": 17152} |
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: Michael, Lily, Owen, Charlotte, and Henry. Michael was heard saying, \"if (Charlotte is a devil if and only if (Charlotte is an angel and Henry is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1597, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"not\", [\"telling-t... | {"split": "train", "index": 17153} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jackson, Joseph, Grace, Oliver, and Avery. Jackson commented, \"it is not the case that (Jackson is a pioneer and (Avery is a laggard))\". Jose... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1598, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 4]]]], [\"not\", [\"lying\", 0]], [\"or\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"lying\", 3]], [\"telling-truth\", 4]], [\"not\... | {"split": "train", "index": 17154} |
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: Sofia, Benjamin, Alexander, Charlotte, and Samuel. \"(it is not the case that (Charlotte is an altruist or Samuel is an altruist or Benjamin is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1599, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\... | {"split": "train", "index": 17155} |
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: Mia, Penelope, Daniel, Zoey, and Charlotte. Mia was heard saying, \"(if (Mia is a pioneer and Penelope is a laggard and Zoey is a pioneer) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1600, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]... | {"split": "train", "index": 17156} |
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: Michael, Aiden, Evelyn, Ethan, and Aurora. Michael commented, \"it is not the case that (it is not the case that (Evelyn is a laggard or Aurora... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1601, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"not\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"telling-truth\", 4], [\"and\", [\"->\", [\"->\", [\"tell... | {"split": "train", "index": 17157} |
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, Alexander, Scarlett, Abigail, and Samuel. Evelyn remarked, \"((if Samuel is an altruist then Evelyn is an altruist) or (Scarlett is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1602, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"telling-t... | {"split": "train", "index": 17158} |
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, David, Avery, Benjamin, and Logan. Liam noted, \"((Liam is an altruist if and only if Benjamin is an egoist) and (Logan is an egoist and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1603, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-tr... | {"split": "train", "index": 17159} |
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, Matthew, Liam, Daniel, and Benjamin. Ava told you that it is not the case that ((Matthew is a laggard or Liam is a laggard) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1604, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-t... | {"split": "train", "index": 17160} |
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, Victoria, Daniel, Harper, and Sophia. Mia stated, \"((Mia is a hero and Harper is a villain and Victoria is a hero) or (if Victoria is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1605, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 2... | {"split": "train", "index": 17161} |
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, Noah, Matthew, Scarlett, and Mason. \"((Matthew is a fool and Noah is a sage and Scarlett is a sage) and (Liam is a sage and Matthew is a sage and Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1606, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 17162} |
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, Logan, Olivia, Evelyn, and Zoey. Alexander said, \"Evelyn is a pioneer.\" In a statement by Logan: \"if ((Evelyn is a pioneer and Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1607, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"... | {"split": "train", "index": 17163} |
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, Penelope, Henry, Amelia, and Owen. In a statement by Victoria: \"((Penelope is a saint or Victoria is a saint or Henry is a saint) and (Hen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1608, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"lying\", 2]], [\"->\", [\"not\", [\"telling-truth\", 0]]... | {"split": "train", "index": 17164} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: William, Sofia, Jack, Michael, and Mia. According to William, \"(if (Mia is an egoist if and only if Mia is an altruist) then (Michael is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1609, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"tel... | {"split": "train", "index": 17165} |
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: Mason, Emma, William, Elizabeth, and Luke. Mason stated, \"it is not the case that (William is a sinner and (if Elizabeth is a saint then Emma is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1610, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"ly... | {"split": "train", "index": 17166} |
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, Abigail, Aurora, Oliver, and James. Zoey was heard saying, \"it is not the case that (if (James is a villain or Abigail is a villain) then (Aur... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1611, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"and\", [\"lying\", 2], [\"telling-truth\",... | {"split": "train", "index": 17167} |
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: Owen, Riley, Alexander, Isabella, and Daniel. In Owen's words: \"Isabella is a knave\". \"it is not the case that (Daniel is a knight),\" Riley decla... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1612, \"statements\": [[\"lying\", 3], [\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"... | {"split": "train", "index": 17168} |
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, Oliver, Lucas, Daniel, and Grace. Jack told you that it is not the case that ((Lucas is a sage or Grace is a fool) if and only if (Daniel is a sage o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1613, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 1]]]], [\"or\", [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 0... | {"split": "train", "index": 17169} |
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, Ethan, Abigail, Michael, and Chloe. \"(if (Abigail is a sage or Chloe is a sage) then (Abigail is a fool or Ethan is a fool)) or Chloe is a fool or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1614, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 4], ... | {"split": "train", "index": 17170} |
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, Liam, Abigail, Jack, and Aurora. \"Abigail is an angel if and only if ((Aurora is an angel and Liam is a devil and Jack is a devil) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1615, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 1]]]], [\"<=>\", [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 17171} |
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: Mia, Jack, Emily, Luke, and Amelia. Mia noted, \"((Luke is an egoist and Amelia is an altruist) and (Mia is an altruist if and only if Emily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1616, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", ... | {"split": "train", "index": 17172} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Amelia, Lily, Benjamin, Ella, and James. In Amelia's words: \"((Ella is a saint and Benjamin is a sinner) and Benjamin is a sinner) or (if (James is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1617, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"lying\", 2]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]]], [\"lying\", 0], [\"telling-... | {"split": "train", "index": 17173} |
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, Victoria, Ava, Olivia, and Samuel. As Charlotte put it, \"if (it is not the case that (Victoria is a sinner)) then (if (Victoria is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1618, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 4... | {"split": "train", "index": 17174} |
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, Daniel, Grace, Ava, and Zoey. Avery said, \"((Grace is a laggard or Daniel is a pioneer) if and only if (Zoey is a laggard)) and Daniel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1619, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 1]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"not\", [\"lying\", 4]]]], [\"->\"... | {"split": "train", "index": 17175} |
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: Mia, Mason, David, Harper, and Lucas. In Mia's words: \"Mason is a sage\". Mason said that if (if (Lucas is a sage) then (if David is a sage then Harper is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1620, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]],... | {"split": "train", "index": 17176} |
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, Emma, Scarlett, Elizabeth, and Abigail. \"Abigail is a devil and (if (Elizabeth is a devil and Elizabeth is an angel and Jackson is an angel) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1621, \"statements\": [[\"and\", [\"lying\", 4], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"tel... | {"split": "train", "index": 17177} |
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, Ava, Owen, Riley, and Michael. As Noah put it, \"(it is not the case that (Riley is a devil)) and Owen is an angel\". Ava noted, \"Owen is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1622, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 17178} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ella, Samuel, Ethan, Aria, and Lucas. According to Ella, \"if ((if Lucas is a fool then Aria is a fool) and (Lucas is a fool and Samuel is a sage)) then (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1623, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", ... | {"split": "train", "index": 17179} |
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, Noah, Sophia, Penelope, and Lucas. Owen said, \"if ((Noah is a sage if and only if Penelope is a sage) or Lucas is a fool or (Penelope is a fool and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1624, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 4], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 1]]]], [\"... | {"split": "train", "index": 17180} |
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, Grace, Amelia, Matthew, and Jacob. Charlotte said that ((Charlotte is a knight if and only if Grace is a knight) or (if Jacob is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1625, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"te... | {"split": "train", "index": 17181} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Zoey, Scarlett, Sophia, Daniel, and Elizabeth. Zoey noted, \"it is not the case that ((Scarlett is a fool or Elizabeth is a fool or Sophia is a sage) or (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1626, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"->\", [\"a... | {"split": "train", "index": 17182} |
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: Emily, Owen, Samuel, Avery, and William. Emily asserted: \"Owen is an egoist and (it is not the case that (Owen is an egoist or Avery is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1627, \"statements\": [[\"and\", [\"lying\", 1], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"ly... | {"split": "train", "index": 17183} |
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, Jackson, Victoria, Aurora, and Mason. Luke remarked, \"Jackson is a sage\". Jackson asserted: \"Victoria is a sage if and only if Aurora is a fool\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1628, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"lying\... | {"split": "train", "index": 17184} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emma, Charlotte, Abigail, Penelope, and Zoey. Emma commented, \"(it is not the case that (Charlotte is a devil if and only if Charlotte is an angel)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1629, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 1]]]], [\"or\", [\"tellin... | {"split": "train", "index": 17185} |
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: Aiden, Ethan, Joseph, Emma, and Aria. As Aiden put it, \"(if (Joseph is a knight) then (Ethan is a knave)) and (if (Emma is a knight if and only if A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1630, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", ... | {"split": "train", "index": 17186} |
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, David, Jacob, Samuel, and Michael. In Noah's words: \"(it is not the case that (Samuel is a sage if and only if Noah is a sage)) or ((Michael is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1631, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 0]... | {"split": "train", "index": 17187} |
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, Aurora, Victoria, Jack, and Noah. \"Jack is a fool or ((Noah is a fool and Jack is a fool and Liam is a sage) and Aurora is a sage and (Liam is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1632, \"statements\": [[\"or\", [\"lying\", 3], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"->\", [\"or\", [\"->\... | {"split": "train", "index": 17188} |
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: Matthew, Ella, Joseph, Victoria, and Evelyn. Matthew stated, \"(it is not the case that (Evelyn is a sage if and only if Ella is a fool)) and (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1633, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 3]], [\"not\",... | {"split": "train", "index": 17189} |
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: Logan, Avery, James, David, and Grace. Logan stated, \"(it is not the case that (Avery is a sinner if and only if Logan is a saint)) and ((David is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1634, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"ly... | {"split": "train", "index": 17190} |
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, Sophia, Alexander, Jack, and Victoria. In William's words: \"if (if (Jack is a saint and Sophia is a sinner) then (if Alexander is a saint t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1635, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 3], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"lying\... | {"split": "train", "index": 17191} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Grace, Emma, Owen, Luke, and Michael. \"Luke is a devil,\" Grace claimed. As Emma put it, \"Michael is a devil\". Owen expressed that ((Luke is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1636, \"statements\": [[\"lying\", 3], [\"lying\", 4], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 4]], [\"lying\", 4]], [\"or\", [\"and\... | {"split": "train", "index": 17192} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Penelope, Henry, Liam, Harper, and Aiden. \"it is not the case that (Liam is a villain or (if Harper is a villain then Liam is a villain)),\" Penelop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1637, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"->\", [\"lying\", 3], [\"lying\", 2]]]], [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1... | {"split": "train", "index": 17193} |
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: Owen, Grace, Chloe, Oliver, and Benjamin. Owen expressed that ((Oliver is an altruist if and only if Owen is an altruist) or (Grace is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1638, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"telling-truth\", 0], [\"not\", [\"or\", [\"telling-truth\", 0], [\"tell... | {"split": "train", "index": 17194} |
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: Matthew, James, Olivia, Emma, and Noah. Matthew told you that ((Olivia is a devil and Emma is an angel and Olivia is an angel) and (Emma is a devil or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1639, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], ... | {"split": "train", "index": 17195} |
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, Ava, Harper, Noah, and David. Aiden was heard saying, \"((if Ava is a villain then Ava is a hero) or (David is a villain or Noah is a villain)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1640, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-tr... | {"split": "train", "index": 17196} |
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, Noah, Elizabeth, Alexander, and Henry. In Mason's words: \"(Elizabeth is an egoist or (Henry is an altruist if and only if Noah is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1641, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth... | {"split": "train", "index": 17197} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Victoria, Daniel, Benjamin, Evelyn, and Aiden. Victoria said that ((Benjamin is a fool or Evelyn is a sage or Daniel is a fool) or (if Evelyn is a fool the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1642, \"statements\": [[\"and\", [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"and\", [\"te... | {"split": "train", "index": 17198} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ava, Evelyn, Jackson, Elizabeth, and Harper. Ava said that Jackson is a sage. Evelyn said, \"it is not the case that ((Jackson is a fool) if and only if (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1643, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"and\",... | {"split": "train", "index": 17199} |
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