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 saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lucas, Riley, Evelyn, Chloe, and Emily. Lucas commented, \"it is not the case that ((if Riley is a saint then Emily is a sinner) if and only if (Chlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 844, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 3]]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"->\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 16400} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Joseph, Mason, Riley, Chloe, and Luke. Joseph was heard saying, \"Joseph is a saint\". According to Mason, \"((Riley is a saint or Mason is a saint o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 845, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 2],... | {"split": "train", "index": 16401} |
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: Emma, Mia, Oliver, Aria, and Ella. Emma said, \"((Emma is a sage and Mia is a sage and Oliver is a sage) or (if Oliver is a fool then Mia is a fool)) or (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 846, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\... | {"split": "train", "index": 16402} |
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, Logan, Joseph, Sophia, and Emily. \"if (it is not the case that (Daniel is an altruist if and only if Logan is an altruist)) then (if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 847, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"not\", [\"or\", [\"not\", ... | {"split": "train", "index": 16403} |
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: Elizabeth, Victoria, Alexander, Sofia, and Evelyn. \"(it is not the case that (Alexander is a sage if and only if Evelyn is a sage)) or Evelyn is a fool or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 848, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"lying\", 4], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"and\", [\... | {"split": "train", "index": 16404} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Scarlett, Olivia, Noah, Liam, and Mason. Scarlett said, \"((Olivia is an angel or Liam is a devil) and (Noah is a devil) and (Noah is a devil or Mason ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 849, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-t... | {"split": "train", "index": 16405} |
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: Lily, Ethan, Evelyn, Aria, and Mia. Lily said, \"if Mia is a fool then (if (Aria is a sage or Ethan is a sage) then Ethan is a fool).\" Ethan said that ((L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 850, \"statements\": [[\"->\", [\"lying\", 4], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"lying\", 1]]], [\"and\", [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"lying\", 4]], [\"not\"... | {"split": "train", "index": 16406} |
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: Henry, Alexander, Jacob, Aria, and Isabella. Henry stated, \"it is not the case that (it is not the case that (Isabella is a knave and Jacob is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 851, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-... | {"split": "train", "index": 16407} |
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: Mason, Jacob, Joseph, Luke, and Mia. \"Luke is a hero,\" Mason mentioned. Jacob said, \"Mason is a villain.\" According to Joseph, \"Jacob is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 852, \"statements\": [[\"telling-truth\", 3], [\"lying\", 0], [\"lying\", 1], [\"or\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"... | {"split": "train", "index": 16408} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Michael, Henry, Olivia, Penelope, and Joseph. According to Michael, \"((Joseph is a fool if and only if Olivia is a fool) if and only if (Joseph is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 853, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"te... | {"split": "train", "index": 16409} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Scarlett, Jack, Liam, Zoey, and Penelope. \"((Scarlett is a sage or Penelope is a fool or Jack is a fool) if and only if (Scarlett is a sage if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 854, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 3], [\"no... | {"split": "train", "index": 16410} |
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: Lily, Owen, Evelyn, Aurora, and Noah. According to Lily, \"(if (Aurora is an altruist if and only if Owen is an egoist) then Evelyn is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 855, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 2]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"... | {"split": "train", "index": 16411} |
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, William, Alexander, Avery, and Liam. According to Logan, \"((if Liam is a devil then William is an angel) and William is a devil and (William is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 856, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 1], [\"not\", [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"->\", [\"and\", [\"telli... | {"split": "train", "index": 16412} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aurora, Sebastian, Logan, Evelyn, and Lily. Aurora remarked, \"it is not the case that (it is not the case that (Evelyn is a sage or Sebastian is a sage or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 857, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 1]]]], [\"and\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"tel... | {"split": "train", "index": 16413} |
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: Lucas, Evelyn, Daniel, Oliver, and Jackson. In a statement by Lucas: \"(if (Jackson is a saint) then (if Evelyn is a sinner then Daniel is a sinner))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 858, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 3]], [\"t... | {"split": "train", "index": 16414} |
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, Chloe, Jackson, Emily, and Penelope. Aiden said, \"(if (if Aiden is a hero then Penelope is a hero) then (if Emily is a hero then Penelope is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 859, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\... | {"split": "train", "index": 16415} |
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: Evelyn, Logan, Samuel, Ethan, and Zoey. In Evelyn's words: \"if Logan is a villain then ((if Zoey is a hero then Zoey is a villain) and Zoey is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 860, \"statements\": [[\"->\", [\"lying\", 1], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"lying\", 4], [\"not\", [\"lying\", 2]]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 3], [\"te... | {"split": "train", "index": 16416} |
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, Evelyn, Daniel, Harper, and James. Ava remarked, \"Evelyn is an egoist or ((Ava is an altruist and Harper is an egoist and Daniel is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 861, \"statements\": [[\"or\", [\"lying\", 1], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 2]], [\"lying\", 1]], [\"and\", [\"and\",... | {"split": "train", "index": 16417} |
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: Harper, Riley, Jackson, Victoria, and Elizabeth. Harper stated, \"((Harper is a sage or Jackson is a fool or Victoria is a sage) or Riley is a sage) or (Vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 862, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"<=>\",... | {"split": "train", "index": 16418} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Oliver, Mia, Abigail, Chloe, and Joseph. \"(if (Abigail is an egoist or Chloe is an altruist) then Chloe is an altruist) and ((Chloe is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 863, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-trut... | {"split": "train", "index": 16419} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Liam, Benjamin, Chloe, and Mia. \"Chloe is a knave\" - Abigail. \"(if Abigail is a knave then (Mia is a knight and Abigail is a knight and B... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 864, \"statements\": [[\"lying\", 3], [\"and\", [\"->\", [\"lying\", 0], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"and\", [\"->... | {"split": "train", "index": 16420} |
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: Samuel, Daniel, Amelia, Harper, and Lily. Samuel expressed that Lily is a knave or Harper is a knave. As Daniel put it, \"if ((Samuel is a knave and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 865, \"statements\": [[\"or\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"or\",... | {"split": "train", "index": 16421} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Grace, David, Victoria, Lily, and Jack. Grace said that ((Victoria is a laggard and Grace is a pioneer) or (if Victoria is a laggard then Grace... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 866, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"te... | {"split": "train", "index": 16422} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ethan, William, Scarlett, Alexander, and Riley. \"((Riley is a devil or Alexander is an angel or William is a devil) and (Ethan is an angel if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 867, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 1]]], [\"not\"... | {"split": "train", "index": 16423} |
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: Daniel, Ethan, Henry, Amelia, and Zoey. Daniel commented, \"(if (if Amelia is a devil then Ethan is a devil) then (Zoey is an angel)) or ((Henry is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 868, \"statements\": [[\"or\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 2], [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"or\", [\"... | {"split": "train", "index": 16424} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Joseph, Elizabeth, Jack, and Aria. William told you that ((Jack is a sage) if and only if (Jack is a sage or Joseph is a fool)) if and only if ((E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 869, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", ... | {"split": "train", "index": 16425} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Chloe, Evelyn, Samuel, and Benjamin. Michael commented, \"((Samuel is a sinner or Chloe is a saint or Michael is a saint) and (Chloe is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 870, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [... | {"split": "train", "index": 16426} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Ethan, Sofia, Jacob, and Victoria. As Emily put it, \"Ethan is a knight or (Sofia is a knight or (Ethan is a knight if and only if Sofia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 871, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"or\", [\"lying\", 4], [\"or\", ... | {"split": "train", "index": 16427} |
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, Elizabeth, Abigail, Lucas, and Ethan. Oliver asserted: \"if ((Ethan is a devil or Abigail is a devil or Elizabeth is a devil) or (if Abigail is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 872, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"or\", [... | {"split": "train", "index": 16428} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Harper, Chloe, Joseph, Olivia, and Aurora. \"((Olivia is a hero) or (Harper is a hero if and only if Chloe is a villain)) or ((Joseph is a hero and O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 873, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"t... | {"split": "train", "index": 16429} |
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: Alexander, Mia, Sebastian, Jackson, and David. Alexander remarked, \"it is not the case that (Mia is a knave if and only if (Mia is a knight))\". As ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 874, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"not\", [\"lying\", 1]]]], [\"and\", [\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 0]], [\"lying... | {"split": "train", "index": 16430} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jackson, Ethan, Emma, Mia, and Liam. Jackson remarked, \"((Emma is a villain and Mia is a hero) or (Liam is a hero or Mia is a villain or Ethan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 875, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 4... | {"split": "train", "index": 16431} |
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: Joseph, William, Sophia, Samuel, and Jackson. Joseph asserted: \"it is not the case that ((Jackson is an angel and Sophia is a devil and Joseph is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 876, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 16432} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Zoey, Avery, Alexander, William, and Lucas. \"it is not the case that (if (if William is an angel then William is a devil) then (Alexander is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 877, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 4]]]], [\"telling-truth\", 4], [\"or\", [\"or\", [\"and\", [\"tel... | {"split": "train", "index": 16433} |
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, Avery, Joseph, Aiden, and Aria. As Ava put it, \"Aria is a laggard\". Avery was heard saying, \"if (if (Ava is a pioneer or Aria is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 878, \"statements\": [[\"lying\", 4], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"t... | {"split": "train", "index": 16434} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Amelia, Lucas, Logan, and Ethan. In a statement by Jackson: \"Lucas is a knight\". As Amelia put it, \"if ((Amelia is a knight if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 879, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"->\",... | {"split": "train", "index": 16435} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Sebastian, Michael, Zoey, and Scarlett. Isabella asserted: \"if (if (if Michael is a knave then Michael is a knight) then (if Zoey is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 880, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 4], [\"telling-truth\... | {"split": "train", "index": 16436} |
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: Ella, Oliver, Jacob, Charlotte, and Lucas. \"((Ella is an altruist or Lucas is an altruist) if and only if (Oliver is an egoist)) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 881, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"->\", [\"->\", [\"telling-... | {"split": "train", "index": 16437} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Noah, Charlotte, Riley, Mia, and Amelia. Noah commented, \"(if (Noah is a sinner) then Riley is a saint) and (Charlotte is a sinner and (Noah is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 882, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"lying\", 2]], [\"and\", [\"<=>\", [\... | {"split": "train", "index": 16438} |
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: Daniel, Ethan, Emily, Ella, and Olivia. Daniel was heard saying, \"(it is not the case that (Ethan is a saint if and only if Olivia is a sinner)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 883, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 16439} |
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, Michael, Jackson, Mason, and Matthew. Zoey remarked, \"((if Mason is a laggard then Matthew is a pioneer) if and only if (if Mason is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 884, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"te... | {"split": "train", "index": 16440} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ethan, Amelia, Joseph, Harper, and Oliver. Ethan noted, \"((if Amelia is a pioneer then Joseph is a laggard) or Amelia is a pioneer) and ((Amel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 885, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"telling-truth\", 1]], [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\... | {"split": "train", "index": 16441} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Amelia, Joseph, Owen, and Scarlett. In Victoria's words: \"if (if (Owen is a knave if and only if Victoria is a knight) then (Amelia is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 886, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2]]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"lying\", 3], [\"and... | {"split": "train", "index": 16442} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Riley, Aurora, Olivia, Mason, and Owen. \"(if (Riley is a pioneer and Mason is a laggard) then (Owen is a pioneer if and only if Mason is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 887, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"and\", [\"... | {"split": "train", "index": 16443} |
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, Scarlett, Oliver, Logan, and Sofia. Emma stated, \"it is not the case that ((Logan is a devil) or (if Scarlett is a devil then Oliver is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 888, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"lying\", 3], [\"not\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"... | {"split": "train", "index": 16444} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jacob, Owen, Lily, Ethan, and Scarlett. \"if Owen is a villain then ((Lily is a hero or Scarlett is a villain) and (if Scarlett is a hero then Ethan ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 889, \"statements\": [[\"->\", [\"lying\", 1], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]]], [\"or\", [\"or\"... | {"split": "train", "index": 16445} |
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, Evelyn, Olivia, Avery, and Henry. \"((Evelyn is a fool if and only if Olivia is a sage) and (Avery is a sage) and (Henry is a fool and Avery is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 890, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"o... | {"split": "train", "index": 16446} |
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: Scarlett, Zoey, Matthew, Logan, and Noah. Scarlett was heard saying, \"if Zoey is a hero then ((Matthew is a villain or Noah is a hero or Logan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 891, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]]... | {"split": "train", "index": 16447} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ethan, Mason, Amelia, Henry, and Samuel. \"Mason is a fool,\" Ethan mentioned. Mason was heard saying, \"Henry is a fool or ((Amelia is a sage if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 892, \"statements\": [[\"lying\", 1], [\"or\", [\"lying\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-... | {"split": "train", "index": 16448} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Avery, Zoey, David, Isabella, and Elizabeth. Avery said that if (Avery is an angel or (David is an angel or Elizabeth is a devil or Avery is an angel) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 893, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 4]], [\"->\", [\"... | {"split": "train", "index": 16449} |
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: Aurora, Isabella, Logan, Lucas, and Jack. \"Isabella is a pioneer\" - Aurora. \"Logan is a pioneer,\" Isabella claimed. \"(it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 894, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 2], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\",... | {"split": "train", "index": 16450} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Logan, Evelyn, Oliver, Abigail, and Jack. \"Evelyn is a pioneer,\" Logan claimed. Evelyn was heard saying, \"(it is not the case that (Jack is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 895, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], ... | {"split": "train", "index": 16451} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ethan, Zoey, Aria, Jacob, and Penelope. Ethan asserted: \"(if (Aria is a laggard) then (Zoey is a pioneer or Aria is a pioneer)) or ((if Aria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 896, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 0], [\"lying... | {"split": "train", "index": 16452} |
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, Benjamin, Victoria, Luke, and Harper. Logan was heard saying, \"(if (Benjamin is a sinner or Victoria is a saint or Luke is a saint) then (Har... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 897, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 1]], [\"<=>\", [... | {"split": "train", "index": 16453} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sofia, Oliver, Alexander, Elizabeth, and Abigail. Sofia remarked, \"Oliver is a devil\". Oliver commented, \"if (it is not the case that (Oliver is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 898, \"statements\": [[\"lying\", 1], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"lying\", 4]], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-t... | {"split": "train", "index": 16454} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Olivia, James, Sophia, and Abigail. \"James is a knight,\" Penelope claimed. According to Olivia, \"(it is not the case that (Penelope is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 899, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"not\", [\"not\", [\"lying\", 0]]], [\"lying\", 3]], [\"->\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"telling-truth\", 2]], ... | {"split": "train", "index": 16455} |
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, Lily, Emily, Sophia, and Oliver. \"((Emily is a knave) if and only if (if Sophia is a knave then Emily is a knight)) if and only if ((Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 900, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-t... | {"split": "train", "index": 16456} |
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: Charlotte, Chloe, Jackson, Evelyn, and Benjamin. Charlotte remarked, \"(it is not the case that (Chloe is a villain and Evelyn is a hero and Evelyn i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 901, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0],... | {"split": "train", "index": 16457} |
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: Michael, Grace, Amelia, Jackson, and Henry. Michael commented, \"Michael is an altruist and (it is not the case that (Henry is an altruist if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 902, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]... | {"split": "train", "index": 16458} |
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, Jacob, Zoey, Evelyn, and Michael. William said that ((if Zoey is an egoist then Jacob is an altruist) and (Jacob is an altruist and Zo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 903, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], ... | {"split": "train", "index": 16459} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Samuel, Jacob, Riley, Sofia, and Noah. In a statement by Samuel: \"Sofia is a sage\". Jacob was heard saying, \"it is not the case that ((if Samuel is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 904, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", ... | {"split": "train", "index": 16460} |
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: James, David, Scarlett, Henry, and Sofia. James expressed that Sofia is a pioneer. David asserted: \"Scarlett is a pioneer\". \"((if James is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 905, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 2], [\"or\", [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"or\", [\... | {"split": "train", "index": 16461} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Henry, Ethan, Elizabeth, Mia, and Harper. Henry said that it is not the case that (it is not the case that (Harper is a devil)). Ethan was heard saying... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 906, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"not\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"lying\", 0]]], [\"->\", [\"lying\", 4], [\"not\", [\"lying\", 0]]], [\"->\", [\"or... | {"split": "train", "index": 16462} |
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: Mason, Ella, Victoria, Lucas, and Aria. Mason told you that Lucas is a devil. \"(if (Mason is a devil) then (Victoria is an angel)) if and only if ((Vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 907, \"statements\": [[\"lying\", 3], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 3]]], [\"o... | {"split": "train", "index": 16463} |
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: Alexander, Evelyn, Emily, Emma, and Liam. Alexander said, \"Evelyn is a knight or ((Evelyn is a knave or Emma is a knave) or Evelyn is a knight or (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 908, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 16464} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lily, Mason, Luke, Grace, and Sophia. Lily told you that if ((if Lily is a pioneer then Grace is a pioneer) or (Grace is a pioneer if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 909, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\"... | {"split": "train", "index": 16465} |
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, Henry, Penelope, Mia, and Aria. Avery stated, \"Aria is a saint\". According to Henry, \"((Penelope is a sinner) and Mia is a sinner and (Aver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 910, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 3], [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 4]... | {"split": "train", "index": 16466} |
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, Henry, Noah, Harper, and Victoria. In a statement by Aiden: \"it is not the case that (it is not the case that (if Harper is a knight then Hen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 911, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 0]]]], [\"and\", [\"and\", [\"ly... | {"split": "train", "index": 16467} |
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: Isabella, Grace, Alexander, James, and Sebastian. In Isabella's words: \"((Sebastian is a villain if and only if James is a villain) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 912, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 3]], [\"telling-truth\", 1], [\"or\", [\"and\", [\"and\", [\"ly... | {"split": "train", "index": 16468} |
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, Harper, Jacob, Mia, and Matthew. Owen said that ((Harper is an altruist) or (if Matthew is an altruist then Harper is an egoist)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 913, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-tru... | {"split": "train", "index": 16469} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Joseph, Zoey, Harper, Alexander, and Noah. Joseph commented, \"Zoey is a sinner\". Zoey noted, \"it is not the case that (if (Zoey is a saint if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 914, \"statements\": [[\"lying\", 1], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\",... | {"split": "train", "index": 16470} |
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, Aria, William, Joseph, and Penelope. \"((Joseph is a villain if and only if Aria is a hero) or (Penelope is a hero or Joseph is a villain) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 915, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lyin... | {"split": "train", "index": 16471} |
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, Michael, Joseph, Abigail, and Lucas. In a statement by Owen: \"it is not the case that ((if Joseph is a sinner then Michael is a sinner) and (L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 916, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling... | {"split": "train", "index": 16472} |
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: William, Riley, Sebastian, Oliver, and Sophia. William remarked, \"Oliver is a laggard\". Riley asserted: \"Oliver is a pioneer\". According to... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 917, \"statements\": [[\"lying\", 3], [\"not\", [\"lying\", 3]], [\"not\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"telling-truth\", 2], [\"<=>\", [\"->\", [\"and\", [\"tellin... | {"split": "train", "index": 16473} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Matthew, Owen, Emily, Jackson, and Scarlett. Matthew expressed that Owen is an egoist. Owen said that it is not the case that ((Jackson is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 918, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"not\", [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]]], [\"->\", [\"<=>\", [\"lying\", 0],... | {"split": "train", "index": 16474} |
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: Aria, Olivia, Ella, Noah, and Zoey. Aria asserted: \"((Zoey is a saint or Olivia is a sinner) or Zoey is a sinner or (Olivia is a sinner or Zoey is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 919, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"lying\", 4], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 3], [\"and\", [\"lying\", 3], [\"<=>\", [\"telli... | {"split": "train", "index": 16475} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Luke, Penelope, Mia, Henry, and Sophia. Luke was heard saying, \"Mia is a sinner\". \"(it is not the case that (Henry is a sinner and Sophia is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 920, \"statements\": [[\"lying\", 2], [\"<=>\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]], [\"lying\", 2]... | {"split": "train", "index": 16476} |
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, Emma, Olivia, Amelia, and Scarlett. \"((Olivia is a knight if and only if Emma is a knight) or David is a knight or (Olivia is a knave and Sca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 921, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 0], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"te... | {"split": "train", "index": 16477} |
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, Jack, Benjamin, Harper, and Lucas. \"((Lucas is an egoist) and (Lucas is an altruist) and (Lucas is an altruist or Jack is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 922, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 16478} |
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: Aurora, Abigail, Oliver, David, and Ava. \"it is not the case that ((Abigail is a pioneer and Oliver is a pioneer and David is a pioneer) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 923, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 1]]]], [\"<=>\", [\"telling-truth\", 2]... | {"split": "train", "index": 16479} |
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: Scarlett, Victoria, Noah, Benjamin, and Sofia. Scarlett told you that Sofia is a villain. Victoria remarked, \"(if (Victoria is a hero and Noah is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 924, \"statements\": [[\"lying\", 4], [\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 0],... | {"split": "train", "index": 16480} |
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: Evelyn, Liam, Jacob, Aria, and Mason. Evelyn said that it is not the case that (Aria is a villain or (Mason is a villain and Liam is a hero)). Liam n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 925, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 2]], [\"or\", [\"lying\", 0], [\"-... | {"split": "train", "index": 16481} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emma, Matthew, Oliver, Lucas, and Ethan. Emma told you that ((Oliver is a villain or Oliver is a hero or Lucas is a villain) or (if Lucas is a hero t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 926, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"tel... | {"split": "train", "index": 16482} |
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, Logan, Ava, Avery, and David. Ella asserted: \"((Ava is a fool if and only if David is a sage) if and only if (if Ella is a sage then David is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 927, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"<=>\", [\"lying\", 4], [... | {"split": "train", "index": 16483} |
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, Joseph, Samuel, William, and Scarlett. In Logan's words: \"it is not the case that (it is not the case that (William is a sinner if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 928, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"or\", [\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-tru... | {"split": "train", "index": 16484} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Noah, Liam, Ethan, Jack, and Sophia. In Noah's words: \"Liam is a sinner\". Liam said, \"(Jack is a saint if and only if (if Sophia is a saint then E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 929, \"statements\": [[\"lying\", 1], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"lyin... | {"split": "train", "index": 16485} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Scarlett, Elizabeth, Aurora, Samuel, and Isabella. In Scarlett's words: \"((Scarlett is a saint or Samuel is a sinner or Elizabeth is a sinner) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 930, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"-... | {"split": "train", "index": 16486} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Harper, Riley, Benjamin, Sophia, and Lucas. Harper remarked, \"((if Lucas is a laggard then Sophia is a pioneer) and (Riley is a pioneer or Ben... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 931, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"telling-truth... | {"split": "train", "index": 16487} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ella, Elizabeth, Lucas, Olivia, and Noah. Ella stated, \"((Olivia is a saint and Olivia is a sinner) or (Ella is a saint and Olivia is a sinner)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 932, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"te... | {"split": "train", "index": 16488} |
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: Henry, Amelia, Emily, Daniel, and Alexander. Henry said that ((Daniel is a pioneer if and only if Alexander is a laggard) if and only if (Alexa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 933, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"lying\", 3]]], [\"lying\", 2]], [\"telling-truth\", 4], [\"or\", [\"and\", [\"<=>\", [\"l... | {"split": "train", "index": 16489} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Charlotte, Matthew, Sophia, Henry, and Avery. As Charlotte put it, \"((if Sophia is an angel then Sophia is a devil) if and only if Avery is an angel) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 934, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 4]], [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth... | {"split": "train", "index": 16490} |
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: Owen, Olivia, Emily, Victoria, and Luke. Owen remarked, \"Luke is a laggard\". \"Victoria is a laggard,\" Olivia claimed. Emily stated, \"((Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 935, \"statements\": [[\"lying\", 4], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"and\", [\"telling-truth\", 0]... | {"split": "train", "index": 16491} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jack, Sofia, Jacob, Chloe, and Charlotte. As Jack put it, \"Charlotte is a hero or ((Jacob is a villain if and only if Sofia is a villain) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 936, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 16492} |
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: Aiden, Victoria, Noah, Lucas, and Daniel. Aiden expressed that ((Noah is a sinner) if and only if (if Daniel is a saint then Aiden is a saint)) or ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 937, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1... | {"split": "train", "index": 16493} |
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, Amelia, Alexander, Sofia, and David. \"if (it is not the case that (Alexander is a pioneer)) then ((Alexander is a pioneer and Sofia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 938, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 4]]]... | {"split": "train", "index": 16494} |
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: William, Samuel, Ethan, Emily, and Noah. In a statement by William: \"Noah is a knave\". According to Samuel, \"(it is not the case that (Noah is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 939, \"statements\": [[\"lying\", 4], [\"and\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"no... | {"split": "train", "index": 16495} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Ava, Riley, Avery, and Chloe. In Michael's words: \"if Chloe is a saint then Ava is a saint\". According to Ava, \"it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 940, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]]]], [\"->\", [\"and\... | {"split": "train", "index": 16496} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Isabella, Ava, Abigail, Scarlett, and Logan. \"Ava is a fool,\" Isabella declared. \"Scarlett is a sage,\" Ava declared. Abigail commented, \"if ((Logan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 941, \"statements\": [[\"lying\", 1], [\"not\", [\"lying\", 3]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"tellin... | {"split": "train", "index": 16497} |
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: David, Harper, James, Jacob, and Jack. David was heard saying, \"it is not the case that (it is not the case that (James is a saint))\". \"(Jacob is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 942, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 2]]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"tel... | {"split": "train", "index": 16498} |
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, Olivia, Ethan, Mia, and David. Noah asserted: \"Olivia is a sage\". Olivia was heard saying, \"(if (if Noah is a sage then Noah is a fool) then (Etha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 943, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying... | {"split": "train", "index": 16499} |
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