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reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 6 inhabitants: Olivia, Riley, Penelope, Daniel, Aiden, and Isabella. In Olivia's words: \"Isabella is a hero if and only if Penelope is a villain\". Riley remarked, \"Olivi...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 6 inhabitants: Olivia, Riley, Penelope, Daniel, Aiden, and Isabella. In Olivia's words: \\\"Isabella is a hero if and only if Penelope is a villain\\\". Ril...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 4 }, "index": 0, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 6 inhabitants: Olivia, Riley, Penelope, Daniel, Aiden, and Isabella. In Olivia's words: \"((Aiden is a hero and Daniel is a hero) if and only if (Daniel is a villain or Ril...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 6 inhabitants: Olivia, Riley, Penelope, Daniel, Aiden, and Isabella. In Olivia's words: \\\"((Aiden is a hero and Daniel is a hero) if and only if (Daniel i...
{ "difficulty": { "depth_constraint": 4, "n_people": 6, "width_constraint": 2 }, "index": 1, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 6 inhabitants: Olivia, Riley, Penelope, Daniel, Aiden, and Isabella. In Olivia's words: \"Penelope is a hero\". Riley remarked, \"Penelope is a hero if and only if Isabella...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 6 inhabitants: Olivia, Riley, Penelope, Daniel, Aiden, and Isabella. In Olivia's words: \\\"Penelope is a hero\\\". Riley remarked, \\\"Penelope is a hero i...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 3 }, "index": 2, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 6 inhabitants: Olivia, Riley, Penelope, Daniel, Aiden, and Isabella. In Olivia's words: \"(Penelope is a villain or Isabella is a villain) if and only if (Isabella is a her...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 6 inhabitants: Olivia, Riley, Penelope, Daniel, Aiden, and Isabella. In Olivia's words: \\\"(Penelope is a villain or Isabella is a villain) if and only if ...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 2 }, "index": 3, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 6 inhabitants: Olivia, Riley, Penelope, Daniel, Aiden, and Isabella. In Olivia's words: \"(Isabella is a hero or Daniel is a hero) if and only if (Penelope is a hero if and...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 6 inhabitants: Olivia, Riley, Penelope, Daniel, Aiden, and Isabella. In Olivia's words: \\\"(Isabella is a hero or Daniel is a hero) if and only if (Penelop...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 3 }, "index": 4, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 6 inhabitants: Ella, Emily, Zoey, Henry, Sofia, and Benjamin. \"if Zoey is a fool then Zoey is a sage,\" Ella declared. \"if Zoey is a sage then Zoey is a fool,\" Emily mentioned...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 6 inhabitants: Ella, Emily, Zoey, Henry, Sofia, and Benjamin. \\\"if Zoey is a fool then Zoey is a sage,\\\" Ella declared. \\\"if Zoey is a sage then Zoey is a f...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 3 }, "index": 5, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 6 inhabitants: Ella, Emily, Zoey, Henry, Sofia, and Benjamin. \"it is not the case that (it is not the case that (if Henry is a sage then Zoey is a fool)),\" Ella declared. \"((E...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 6 inhabitants: Ella, Emily, Zoey, Henry, Sofia, and Benjamin. \\\"it is not the case that (it is not the case that (if Henry is a sage then Zoey is a fool)),\\\" ...
{ "difficulty": { "depth_constraint": 4, "n_people": 6, "width_constraint": 2 }, "index": 6, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 6 inhabitants: Ella, Emily, Zoey, Henry, Sofia, and Benjamin. \"if (Henry is a sage or Sofia is a fool) then Benjamin is a sage,\" Ella declared. \"Benjamin is a sage,\" Emily me...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 6 inhabitants: Ella, Emily, Zoey, Henry, Sofia, and Benjamin. \\\"if (Henry is a sage or Sofia is a fool) then Benjamin is a sage,\\\" Ella declared. \\\"Benjamin...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 2 }, "index": 7, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Owen, Scarlett, Zoey, Michael, Harper, and Chloe. According to Owen, \"if Harper is a laggard then Scarlett is a pioneer\". Scarlett told you that Zoey...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Owen, Scarlett, Zoey, Michael, Harper, and Chloe. According to Owen, \\\"if Harper is a laggard then Scarlett is a pioneer\\\". Scarlet...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 3 }, "index": 8, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 6 inhabitants: Ella, Emily, Zoey, Henry, Sofia, and Benjamin. \"it is not the case that (Benjamin is a fool or Sofia is a sage or Emily is a fool),\" Ella declared. \"if (Henry i...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 6 inhabitants: Ella, Emily, Zoey, Henry, Sofia, and Benjamin. \\\"it is not the case that (Benjamin is a fool or Sofia is a sage or Emily is a fool),\\\" Ella dec...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 3 }, "index": 9, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 6 inhabitants: Ella, Emily, Zoey, Henry, Sofia, and Benjamin. \"Benjamin is a sage or Emily is a sage,\" Ella declared. \"Zoey is a fool,\" Emily mentioned. As Zoey put it, \"Ell...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 6 inhabitants: Ella, Emily, Zoey, Henry, Sofia, and Benjamin. \\\"Benjamin is a sage or Emily is a sage,\\\" Ella declared. \\\"Zoey is a fool,\\\" Emily mentione...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 4 }, "index": 10, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Owen, Scarlett, Zoey, Michael, Harper, and Chloe. According to Owen, \"if (if Scarlett is a laggard then Michael is a pioneer) then (Zoey is a pioneer)...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Owen, Scarlett, Zoey, Michael, Harper, and Chloe. According to Owen, \\\"if (if Scarlett is a laggard then Michael is a pioneer) then (...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 3 }, "index": 11, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Owen, Scarlett, Zoey, Michael, Harper, and Chloe. According to Owen, \"Michael is a pioneer\". Scarlett told you that Chloe is a laggard or (Zoey is a ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Owen, Scarlett, Zoey, Michael, Harper, and Chloe. According to Owen, \\\"Michael is a pioneer\\\". Scarlett told you that Chloe is a la...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 2 }, "index": 12, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Owen, Scarlett, Zoey, Michael, Harper, and Chloe. According to Owen, \"if ((Scarlett is a laggard) or (if Harper is a pioneer then Zoey is a pioneer)) ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Owen, Scarlett, Zoey, Michael, Harper, and Chloe. According to Owen, \\\"if ((Scarlett is a laggard) or (if Harper is a pioneer then Zo...
{ "difficulty": { "depth_constraint": 4, "n_people": 6, "width_constraint": 2 }, "index": 13, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, James, Jack, Lily, Samuel, and Riley. Aurora noted, \"it is not the case that (Samuel is a knight if and only if Samuel is a knave)\". \"if (Jack is ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, James, Jack, Lily, Samuel, and Riley. Aurora noted, \\\"it is not the case that (Samuel is a knight if and only if Samuel is a knave)...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 3 }, "index": 14, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, James, Jack, Lily, Samuel, and Riley. Aurora noted, \"(Riley is a knave if and only if Aurora is a knight) or (Aurora is a knave)\". \"Aurora is a kn...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, James, Jack, Lily, Samuel, and Riley. Aurora noted, \\\"(Riley is a knave if and only if Aurora is a knight) or (Aurora is a knave)\\...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 2 }, "index": 15, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Owen, Scarlett, Zoey, Michael, Harper, and Chloe. According to Owen, \"if Harper is a laggard then Scarlett is a pioneer\". Scarlett told you that Zoey...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Owen, Scarlett, Zoey, Michael, Harper, and Chloe. According to Owen, \\\"if Harper is a laggard then Scarlett is a pioneer\\\". Scarlet...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 4 }, "index": 16, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, James, Jack, Lily, Samuel, and Riley. Aurora noted, \"if Riley is a knight then James is a knight\". \"Riley is a knave,\" James claimed. Jack noted,...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, James, Jack, Lily, Samuel, and Riley. Aurora noted, \\\"if Riley is a knight then James is a knight\\\". \\\"Riley is a knave,\\\" Ja...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 4 }, "index": 17, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, James, Jack, Lily, Samuel, and Riley. Aurora noted, \"it is not the case that (Jack is a knight if and only if (Riley is a knave))\". \"Jack is a kni...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, James, Jack, Lily, Samuel, and Riley. Aurora noted, \\\"it is not the case that (Jack is a knight if and only if (Riley is a knave))\...
{ "difficulty": { "depth_constraint": 4, "n_people": 6, "width_constraint": 2 }, "index": 18, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 6 inhabitants: Harper, Liam, Emily, Mason, Ethan, and Zoey. As Harper put it, \"Emily is a sinner and Harper is a saint\". Liam commented, \"Zoey is a saint\". Emily was he...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 6 inhabitants: Harper, Liam, Emily, Mason, Ethan, and Zoey. As Harper put it, \\\"Emily is a sinner and Harper is a saint\\\". Liam commented, \\\"Zoey is a...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 4 }, "index": 19, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 6 inhabitants: Harper, Liam, Emily, Mason, Ethan, and Zoey. As Harper put it, \"(Emily is a saint) or (Emily is a saint if and only if Zoey is a sinner)\". Liam commented, ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 6 inhabitants: Harper, Liam, Emily, Mason, Ethan, and Zoey. As Harper put it, \\\"(Emily is a saint) or (Emily is a saint if and only if Zoey is a sinner)\\...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 2 }, "index": 20, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 6 inhabitants: Harper, Liam, Emily, Mason, Ethan, and Zoey. As Harper put it, \"(if (Liam is a sinner and Liam is a saint) then Mason is a sinner) and (if (Ethan is a sinne...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 6 inhabitants: Harper, Liam, Emily, Mason, Ethan, and Zoey. As Harper put it, \\\"(if (Liam is a sinner and Liam is a saint) then Mason is a sinner) and (if...
{ "difficulty": { "depth_constraint": 4, "n_people": 6, "width_constraint": 2 }, "index": 21, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Luke, Aurora, Mia, Jackson, Lucas, and Aria. Luke stated, \"Aurora is a devil\". \"Lucas is a devil,\" Aurora declared. \"Mia is an angel or Luke is an angel o...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Luke, Aurora, Mia, Jackson, Lucas, and Aria. Luke stated, \\\"Aurora is a devil\\\". \\\"Lucas is a devil,\\\" Aurora declared. \\\"Mia is an a...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 4 }, "index": 22, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Luke, Aurora, Mia, Jackson, Lucas, and Aria. Luke stated, \"Aurora is a devil\". \"it is not the case that (Jackson is an angel),\" Aurora declared. \"(it is n...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Luke, Aurora, Mia, Jackson, Lucas, and Aria. Luke stated, \\\"Aurora is a devil\\\". \\\"it is not the case that (Jackson is an angel),\\\" Aur...
{ "difficulty": { "depth_constraint": 4, "n_people": 6, "width_constraint": 2 }, "index": 23, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, James, Jack, Lily, Samuel, and Riley. Aurora noted, \"if Riley is a knight then James is a knight\". \"Riley is a knave,\" James claimed. Jack noted,...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, James, Jack, Lily, Samuel, and Riley. Aurora noted, \\\"if Riley is a knight then James is a knight\\\". \\\"Riley is a knave,\\\" Ja...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 3 }, "index": 24, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 6 inhabitants: Olivia, Riley, Penelope, Daniel, Aiden, and Isabella. In Olivia's words: \"Isabella is a hero if and only if Penelope is a villain\". Riley remarked, \"Penel...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 6 inhabitants: Olivia, Riley, Penelope, Daniel, Aiden, and Isabella. In Olivia's words: \\\"Isabella is a hero if and only if Penelope is a villain\\\". Ril...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 2 }, "index": 25, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 6 inhabitants: Harper, Liam, Emily, Mason, Ethan, and Zoey. As Harper put it, \"Emily is a sinner and Harper is a saint\". Liam commented, \"Zoey is a saint\". Emily was he...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 6 inhabitants: Harper, Liam, Emily, Mason, Ethan, and Zoey. As Harper put it, \\\"Emily is a sinner and Harper is a saint\\\". Liam commented, \\\"Zoey is a...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 3 }, "index": 26, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 6 inhabitants: Harper, Liam, Emily, Mason, Ethan, and Zoey. As Harper put it, \"Emily is a sinner\". Liam commented, \"Ethan is a sinner\". Emily was heard saying, \"Liam i...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 6 inhabitants: Harper, Liam, Emily, Mason, Ethan, and Zoey. As Harper put it, \\\"Emily is a sinner\\\". Liam commented, \\\"Ethan is a sinner\\\". Emily wa...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 3 }, "index": 27, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Logan, James, Owen, Aurora, Benjamin, and Sophia. Logan expressed that Benjamin is a laggard. According to James, \"Benjamin is a laggard or Aurora is ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Logan, James, Owen, Aurora, Benjamin, and Sophia. Logan expressed that Benjamin is a laggard. According to James, \\\"Benjamin is a lag...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 4 }, "index": 28, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 6 inhabitants: David, Riley, Michael, Jacob, Owen, and Amelia. In David's words: \"Amelia is an egoist or Riley is an altruist or Owen is an altruist\". According to ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 6 inhabitants: David, Riley, Michael, Jacob, Owen, and Amelia. In David's words: \\\"Amelia is an egoist or Riley is an altruist or Owen is an altruis...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 4 }, "index": 29, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Luke, Aurora, Mia, Jackson, Lucas, and Aria. Luke stated, \"Aurora is a devil\". \"Lucas is a devil,\" Aurora declared. \"Mia is an angel or Luke is an angel o...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Luke, Aurora, Mia, Jackson, Lucas, and Aria. Luke stated, \\\"Aurora is a devil\\\". \\\"Lucas is a devil,\\\" Aurora declared. \\\"Mia is an a...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 3 }, "index": 30, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Zoey, Alexander, Logan, Oliver, Luke, and Scarlett. According to Zoey, \"if Luke is a devil then Oliver is an angel\". \"Scarlett is an angel,\" Alexander ment...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Zoey, Alexander, Logan, Oliver, Luke, and Scarlett. According to Zoey, \\\"if Luke is a devil then Oliver is an angel\\\". \\\"Scarlett is an a...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 4 }, "index": 31, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Luke, Aurora, Mia, Jackson, Lucas, and Aria. Luke stated, \"(Aria is an angel and Lucas is an angel) if and only if (Jackson is a devil)\". \"Mia is a devil,\"...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Luke, Aurora, Mia, Jackson, Lucas, and Aria. Luke stated, \\\"(Aria is an angel and Lucas is an angel) if and only if (Jackson is a devil)\\\"....
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 2 }, "index": 32, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Logan, James, Owen, Aurora, Benjamin, and Sophia. Logan expressed that it is not the case that ((Benjamin is a laggard if and only if Owen is a laggard...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Logan, James, Owen, Aurora, Benjamin, and Sophia. Logan expressed that it is not the case that ((Benjamin is a laggard if and only if O...
{ "difficulty": { "depth_constraint": 4, "n_people": 6, "width_constraint": 2 }, "index": 33, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Luke, Aurora, Mia, Jackson, Lucas, and Aria. Luke stated, \"Luke is an angel\". \"(Luke is an angel) and (Jackson is a devil if and only if Lucas is a devil) a...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Luke, Aurora, Mia, Jackson, Lucas, and Aria. Luke stated, \\\"Luke is an angel\\\". \\\"(Luke is an angel) and (Jackson is a devil if and only ...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 3 }, "index": 34, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 6 inhabitants: Ella, Emily, Zoey, Henry, Sofia, and Benjamin. \"if Benjamin is a sage then Emily is a fool,\" Ella declared. \"Sofia is a fool and Sofia is a sage,\" Emily mentio...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 6 inhabitants: Ella, Emily, Zoey, Henry, Sofia, and Benjamin. \\\"if Benjamin is a sage then Emily is a fool,\\\" Ella declared. \\\"Sofia is a fool and Sofia is ...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 2 }, "index": 35, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 6 inhabitants: David, Riley, Michael, Jacob, Owen, and Amelia. In David's words: \"it is not the case that ((Amelia is an altruist) or (if Owen is an egoist then Rile...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 6 inhabitants: David, Riley, Michael, Jacob, Owen, and Amelia. In David's words: \\\"it is not the case that ((Amelia is an altruist) or (if Owen is a...
{ "difficulty": { "depth_constraint": 4, "n_people": 6, "width_constraint": 2 }, "index": 36, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Logan, James, Owen, Aurora, Benjamin, and Sophia. Logan expressed that Owen is a pioneer if and only if Benjamin is a laggard. According to James, \"if...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Logan, James, Owen, Aurora, Benjamin, and Sophia. Logan expressed that Owen is a pioneer if and only if Benjamin is a laggard. Accordin...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 3 }, "index": 37, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Zoey, Alexander, Logan, Oliver, Luke, and Scarlett. According to Zoey, \"if ((if Scarlett is an angel then Luke is an angel) and Zoey is an angel) then (it is ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Zoey, Alexander, Logan, Oliver, Luke, and Scarlett. According to Zoey, \\\"if ((if Scarlett is an angel then Luke is an angel) and Zoey is an a...
{ "difficulty": { "depth_constraint": 4, "n_people": 6, "width_constraint": 2 }, "index": 38, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Elizabeth, Victoria, Avery, Ella, Riley, and Grace. In a statement by Elizabeth: \"Grace is a knave\". \"it is not the case that ((Elizabeth is a knight or R...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Elizabeth, Victoria, Avery, Ella, Riley, and Grace. In a statement by Elizabeth: \\\"Grace is a knave\\\". \\\"it is not the case that ((Eliz...
{ "difficulty": { "depth_constraint": 4, "n_people": 6, "width_constraint": 2 }, "index": 39, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Owen, Scarlett, Zoey, Michael, Harper, and Chloe. According to Owen, \"Scarlett is a pioneer\". Scarlett told you that if Scarlett is a pioneer then Zo...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Owen, Scarlett, Zoey, Michael, Harper, and Chloe. According to Owen, \\\"Scarlett is a pioneer\\\". Scarlett told you that if Scarlett ...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 2 }, "index": 40, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 6 inhabitants: David, Riley, Michael, Jacob, Owen, and Amelia. In David's words: \"if Jacob is an egoist then Michael is an altruist\". According to Riley, \"Jacob is...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 6 inhabitants: David, Riley, Michael, Jacob, Owen, and Amelia. In David's words: \\\"if Jacob is an egoist then Michael is an altruist\\\". According ...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 3 }, "index": 41, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Elizabeth, Victoria, Avery, Ella, Riley, and Grace. In a statement by Elizabeth: \"Grace is a knave\". \"Elizabeth is a knave,\" Victoria mentioned. Avery wa...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Elizabeth, Victoria, Avery, Ella, Riley, and Grace. In a statement by Elizabeth: \\\"Grace is a knave\\\". \\\"Elizabeth is a knave,\\\" Vict...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 4 }, "index": 42, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Logan, James, Owen, Aurora, Benjamin, and Sophia. Logan expressed that (Aurora is a pioneer and Owen is a pioneer) or Aurora is a pioneer. According to...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Logan, James, Owen, Aurora, Benjamin, and Sophia. Logan expressed that (Aurora is a pioneer and Owen is a pioneer) or Aurora is a pione...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 2 }, "index": 43, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 6 inhabitants: David, Riley, Michael, Jacob, Owen, and Amelia. In David's words: \"Michael is an altruist and (David is an altruist if and only if Jacob is an egoist)...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 6 inhabitants: David, Riley, Michael, Jacob, Owen, and Amelia. In David's words: \\\"Michael is an altruist and (David is an altruist if and only if J...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 2 }, "index": 44, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Matthew, Michael, Victoria, Chloe, Charlotte, and Benjamin. Matthew asserted: \"Victoria is a knave\". Michael said, \"Victoria is a knight if and only if Ch...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Matthew, Michael, Victoria, Chloe, Charlotte, and Benjamin. Matthew asserted: \\\"Victoria is a knave\\\". Michael said, \\\"Victoria is a kn...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 4 }, "index": 45, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Zoey, Alexander, Logan, Oliver, Luke, and Scarlett. According to Zoey, \"if (Luke is a devil and Scarlett is an angel) then (if Zoey is an angel then Oliver is...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Zoey, Alexander, Logan, Oliver, Luke, and Scarlett. According to Zoey, \\\"if (Luke is a devil and Scarlett is an angel) then (if Zoey is an an...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 2 }, "index": 46, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Logan, James, Owen, Aurora, Benjamin, and Sophia. Logan expressed that (Sophia is a laggard and Aurora is a pioneer and Owen is a laggard) and James is...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 6 inhabitants: Logan, James, Owen, Aurora, Benjamin, and Sophia. Logan expressed that (Sophia is a laggard and Aurora is a pioneer and Owen is a lagga...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 3 }, "index": 47, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Elizabeth, Victoria, Avery, Ella, Riley, and Grace. In a statement by Elizabeth: \"Grace is a knave\". \"(if Elizabeth is a knave then Ella is a knave) or Av...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Elizabeth, Victoria, Avery, Ella, Riley, and Grace. In a statement by Elizabeth: \\\"Grace is a knave\\\". \\\"(if Elizabeth is a knave then ...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 2 }, "index": 48, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Scarlett, Emma, Mia, Logan, Liam, and Victoria. \"Mia is an angel and Liam is a devil and Mia is a devil,\" Scarlett claimed. Emma stated, \"Logan is a devil\"...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Scarlett, Emma, Mia, Logan, Liam, and Victoria. \\\"Mia is an angel and Liam is a devil and Mia is a devil,\\\" Scarlett claimed. Emma stated, ...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 4 }, "index": 49, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Matthew, Michael, Victoria, Chloe, Charlotte, and Benjamin. Matthew asserted: \"(if (Victoria is a knave and Victoria is a knight) then Chloe is a knave) if ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Matthew, Michael, Victoria, Chloe, Charlotte, and Benjamin. Matthew asserted: \\\"(if (Victoria is a knave and Victoria is a knight) then Chl...
{ "difficulty": { "depth_constraint": 4, "n_people": 6, "width_constraint": 2 }, "index": 50, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Zoey, Alexander, Logan, Oliver, Luke, and Scarlett. According to Zoey, \"if Luke is a devil then Oliver is an angel\". \"Scarlett is an angel,\" Alexander ment...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Zoey, Alexander, Logan, Oliver, Luke, and Scarlett. According to Zoey, \\\"if Luke is a devil then Oliver is an angel\\\". \\\"Scarlett is an a...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 3 }, "index": 51, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, James, Jack, Lily, Samuel, and Riley. Aurora noted, \"if Jack is a knave then Samuel is a knight\". \"Lily is a knave if and only if James is a knigh...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, James, Jack, Lily, Samuel, and Riley. Aurora noted, \\\"if Jack is a knave then Samuel is a knight\\\". \\\"Lily is a knave if and on...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 2 }, "index": 52, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Matthew, Michael, Victoria, Chloe, Charlotte, and Benjamin. Matthew asserted: \"(Chloe is a knight if and only if Victoria is a knave) or (Michael is a knave...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Matthew, Michael, Victoria, Chloe, Charlotte, and Benjamin. Matthew asserted: \\\"(Chloe is a knight if and only if Victoria is a knave) or (...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 2 }, "index": 53, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 6 inhabitants: David, Riley, Michael, Jacob, Owen, and Amelia. In David's words: \"Riley is an altruist\". According to Riley, \"(Jacob is an egoist and David is an e...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 6 inhabitants: David, Riley, Michael, Jacob, Owen, and Amelia. In David's words: \\\"Riley is an altruist\\\". According to Riley, \\\"(Jacob is an eg...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 3 }, "index": 54, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 6 inhabitants: Victoria, Samuel, Benjamin, Lily, Evelyn, and Elizabeth. Victoria said, \"Elizabeth is a villain or Benjamin is a hero or Samuel is a hero.\" Samuel said tha...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 6 inhabitants: Victoria, Samuel, Benjamin, Lily, Evelyn, and Elizabeth. Victoria said, \\\"Elizabeth is a villain or Benjamin is a hero or Samuel is a hero....
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 4 }, "index": 55, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 6 inhabitants: Harper, Liam, Emily, Mason, Ethan, and Zoey. As Harper put it, \"Mason is a saint\". Liam commented, \"Zoey is a sinner and Liam is a saint\". Emily was hear...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 6 inhabitants: Harper, Liam, Emily, Mason, Ethan, and Zoey. As Harper put it, \\\"Mason is a saint\\\". Liam commented, \\\"Zoey is a sinner and Liam is a s...
{ "difficulty": { "depth_constraint": 2, "n_people": 6, "width_constraint": 2 }, "index": 56, "split": "train" }
reasoning_gym/knights_and_knaves/6
[ { "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Zoey, Alexander, Logan, Oliver, Luke, and Scarlett. According to Zoey, \"Scarlett is an angel\". \"Zoey is a devil,\" Alexander mentioned. Logan told you that ...
logic
{ "ground_truth": "{\"question\": \"A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 6 inhabitants: Zoey, Alexander, Logan, Oliver, Luke, and Scarlett. According to Zoey, \\\"Scarlett is an angel\\\". \\\"Zoey is a devil,\\\" Alexander mention...
{ "difficulty": { "depth_constraint": 3, "n_people": 6, "width_constraint": 3 }, "index": 57, "split": "train" }
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