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 angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Charlotte, William, Matthew, Emily, and Jackson. In Charlotte's words: \"if ((Emily is a devil and Charlotte is an angel and Jackson is an angel and Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 222, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\... | {"split": "train", "index": 18000} |
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, Aiden, Sofia, Scarlett, and Avery. \"it is not the case that ((if Scarlett is a knave then Scarlett is a knight) or (Avery is a knight)),\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 223, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]]], [\"->\", [\"lying\", 2], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-tru... | {"split": "train", "index": 18001} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Emily, James, Elizabeth, and Zoey. Evelyn told you that (James is a knave) and ((Elizabeth is a knave and Emily is a knight and Evelyn is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 224, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\"... | {"split": "train", "index": 18002} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, William, Victoria, Ethan, and Sebastian. Ava commented, \"it is not the case that (if Ethan is a knight then Victoria is a knight)\". William st... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 225, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 0]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 4]], [\"or\... | {"split": "train", "index": 18003} |
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: Zoey, Jackson, Ethan, Scarlett, and Amelia. Zoey asserted: \"it is not the case that ((Ethan is a knight if and only if Amelia is a knave) or (Jackso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 226, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"and\", [\"not\", [\"lying\", 0]], [\"or\", [\"not\",... | {"split": "train", "index": 18004} |
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: Amelia, Henry, Mia, Scarlett, and Aiden. Amelia told you that Henry is an egoist. Henry told you that ((Aiden is an altruist and Amelia is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 227, \"statements\": [[\"lying\", 1], [\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 0]],... | {"split": "train", "index": 18005} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Henry, Noah, Lily, Liam, and Lucas. Henry said that ((Lily is an egoist) if and only if (Lily is an egoist and Noah is an altruist)) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 228, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]]], [\"->\", [\"and\", ... | {"split": "train", "index": 18006} |
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: Lucas, Olivia, Noah, Luke, and Emily. \"Olivia is a laggard if and only if (it is not the case that (Olivia is a pioneer or Emily is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 229, \"statements\": [[\"<=>\", [\"lying\", 1], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 3]]]], [\"<=>\", [\"lying\", 2], [\"->\", [\"not\", [\"telling-truth\", 3]]... | {"split": "train", "index": 18007} |
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: David, Emma, Elizabeth, Liam, and Penelope. David said, \"Liam is an altruist.\" Emma expressed that if (if (if Elizabeth is an altruist then L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 230, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]... | {"split": "train", "index": 18008} |
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, Daniel, Mason, Avery, and Elizabeth. Harper said that if ((Elizabeth is a villain if and only if Avery is a hero) if and only if (if Elizabet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 231, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 3]]], [\"an... | {"split": "train", "index": 18009} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Scarlett, David, Evelyn, William, and Harper. Scarlett was heard saying, \"((if Evelyn is a pioneer then David is a pioneer) if and only if (Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 232, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying... | {"split": "train", "index": 18010} |
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: Emily, Logan, Penelope, Charlotte, and Harper. \"it is not the case that (if (Penelope is a sinner if and only if Penelope is a saint) then (Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 233, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 3]]]], [\"and\", [\"and\", [\"lying\", 0], [\"or\", [\"telling-tr... | {"split": "train", "index": 18011} |
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, Ella, Emily, and Mason. Penelope asserted: \"(it is not the case that (Emily is a knight or Ella is a knave or Olivia is a knight))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 234, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 1]], [... | {"split": "train", "index": 18012} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Logan, Henry, Aurora, and Ella. \"Aurora is a knight\" - Michael. Logan asserted: \"it is not the case that (if (Ella is a knight if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 235, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"->\", [\"and\", [\"lying\", 1], [\"<=>\", [\"telling-tr... | {"split": "train", "index": 18013} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Charlotte, David, Abigail, Noah, and Alexander. Charlotte noted, \"it is not the case that (Abigail is a sinner or (Alexander is a sinner or Alexande... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 236, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 2]]]], [\"not\", [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 3... | {"split": "train", "index": 18014} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Victoria, Joseph, Aiden, Scarlett, and Charlotte. Victoria said, \"if ((Aiden is a fool and Joseph is a sage and Joseph is a fool) if and only if Charlotte... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 237, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 4]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"<... | {"split": "train", "index": 18015} |
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, Sebastian, Harper, Logan, and Mason. Daniel said, \"Mason is a sinner and (if Logan is a saint then (if Harper is a saint then Logan is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 238, \"statements\": [[\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"or\", [\"lyi... | {"split": "train", "index": 18016} |
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: Penelope, Abigail, Isabella, Lucas, and James. Penelope expressed that ((Abigail is an altruist if and only if Lucas is an egoist) or (if James... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 239, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 4... | {"split": "train", "index": 18017} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sophia, Scarlett, Alexander, James, and Grace. \"James is a saint,\" Sophia mentioned. Scarlett told you that ((James is a sinner) or Alexander is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 240, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 4], [\"t... | {"split": "train", "index": 18018} |
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: Oliver, Elizabeth, Liam, Aria, and Jackson. \"(if (Liam is a sage and Liam is a fool) then (Oliver is a fool)) or ((Aria is a sage and Aria is a fool and J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 241, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 18019} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Benjamin, William, Emily, and Sofia. As James put it, \"Benjamin is a knave and ((Sofia is a knave and Emily is a knave and William is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 242, \"statements\": [[\"and\", [\"lying\", 1], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"... | {"split": "train", "index": 18020} |
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, Ava, Luke, Charlotte, and Matthew. According to Henry, \"(it is not the case that (if Matthew is a pioneer then Charlotte is a pioneer))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 243, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"->\", [\"telling-truth\", 2... | {"split": "train", "index": 18021} |
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: Ethan, David, Henry, Penelope, and Samuel. Ethan commented, \"if (if (Henry is a hero if and only if David is a hero) then (Samuel is a villain or Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 244, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\"... | {"split": "train", "index": 18022} |
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, Jacob, Lucas, Mia, and Alexander. Noah was heard saying, \"if (it is not the case that (Jacob is a saint or Jacob is a sinner or Noah is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 245, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 18023} |
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: James, Charlotte, Sofia, Jacob, and Luke. \"(if (Luke is an egoist) then (Luke is an altruist if and only if Charlotte is an altruist)) or Char... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 246, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"lying\", 1]], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"n... | {"split": "train", "index": 18024} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Penelope, Luke, Sebastian, Mia, and Elizabeth. In a statement by Penelope: \"(Luke is a saint) or ((Mia is a saint and Penelope is a saint and Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 247, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 2], [... | {"split": "train", "index": 18025} |
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: Sofia, Mia, Lily, Chloe, and Daniel. Sofia told you that it is not the case that ((Mia is a knight or Chloe is a knight or Chloe is a knave) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 248, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"<=>\", [\"not\", [\"not\", [\"lying\", 0]]], [\"and\", ... | {"split": "train", "index": 18026} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Owen, Emily, Aria, Matthew, and Alexander. \"(Emily is a sage and (Aria is a sage or Alexander is a sage) and (Alexander is a sage and Emily is a fool and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 249, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\... | {"split": "train", "index": 18027} |
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: Isabella, Charlotte, Ava, Elizabeth, and Alexander. \"(if (Alexander is an altruist or Charlotte is an altruist or Elizabeth is an egoist) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 250, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lyin... | {"split": "train", "index": 18028} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Abigail, Aiden, Grace, Amelia, and Jackson. Abigail noted, \"if (Aiden is an egoist if and only if Amelia is an altruist) then ((Amelia is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 251, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling... | {"split": "train", "index": 18029} |
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: Grace, Liam, Lily, Aurora, and Evelyn. Grace remarked, \"it is not the case that (if (Grace is a knave) then (if Aurora is a knave then Grace is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 252, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\"... | {"split": "train", "index": 18030} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Olivia, William, Ava, and Elizabeth. Abigail asserted: \"(William is a saint or (Olivia is a sinner or Abigail is a saint or Ava is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 253, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"... | {"split": "train", "index": 18031} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jackson, Sebastian, Riley, Jack, and Ella. Jackson was heard saying, \"Sebastian is a sinner\". Sebastian remarked, \"((Jack is a saint if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 254, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"tellin... | {"split": "train", "index": 18032} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sebastian, Owen, Chloe, Mason, and Riley. In Sebastian's words: \"((Riley is a sinner or Chloe is a sinner) or (Sebastian is a saint or Owen is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 255, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 4], [\"not\", [\"lying\", 2]]], [\"and\", [\"and\"... | {"split": "train", "index": 18033} |
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, James, Jackson, Owen, and Abigail. \"if ((Owen is a devil) or (Jackson is a devil and Owen is an angel and Jackson is an angel) or (James is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 256, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"or\"... | {"split": "train", "index": 18034} |
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: Liam, Scarlett, Emma, Grace, and Amelia. \"Scarlett is a devil if and only if (if (Amelia is an angel or Amelia is a devil) then (Grace is an angel if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 257, \"statements\": [[\"<=>\", [\"lying\", 1], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"telling-truth\", 2], [\"and\", [\"and\", [\"->\", [\"telling-tr... | {"split": "train", "index": 18035} |
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: Sofia, Chloe, Sophia, Benjamin, and Amelia. Sofia noted, \"((Amelia is a knave and Amelia is a knight and Benjamin is a knight and Chloe is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 258, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 4], [\"lying\", 2]], [\"telling-t... | {"split": "train", "index": 18036} |
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: Elizabeth, David, Emily, Charlotte, and Aiden. Elizabeth was heard saying, \"it is not the case that (if (Emily is an altruist and Aiden is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 259, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 3]]]], [\"not\", [\"lyin... | {"split": "train", "index": 18037} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Luke, Noah, Penelope, and Charlotte. Sebastian said, \"Penelope is a knight.\" \"(it is not the case that (Charlotte is a knight if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 260, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 18038} |
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: Henry, Jackson, Sophia, Elizabeth, and Riley. In a statement by Henry: \"(if (Sophia is a fool if and only if Henry is a sage) then Elizabeth is a sage) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 261, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3],... | {"split": "train", "index": 18039} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Elizabeth, Isabella, Luke, James, and Victoria. Elizabeth remarked, \"James is a sinner\". Isabella remarked, \"((Isabella is a saint and Elizabeth i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 262, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\",... | {"split": "train", "index": 18040} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Penelope, Charlotte, Victoria, Olivia, and Sebastian. \"it is not the case that ((if Olivia is an angel then Victoria is an angel) and (Charlotte is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 263, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\... | {"split": "train", "index": 18041} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sophia, Olivia, Aiden, Mia, and Ava. As Sophia put it, \"Olivia is a sage\". As Olivia put it, \"((Olivia is a fool) if and only if (Sophia is a fool or Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 264, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 0], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 4], [\"lying\", 3... | {"split": "train", "index": 18042} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Matthew, Ella, Riley, and Owen. \"Ella is a villain\" - Alexander. Matthew expressed that Owen is a hero. Ella told you that (Ella is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 265, \"statements\": [[\"lying\", 2], [\"telling-truth\", 4], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 18043} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sebastian, Amelia, Lucas, Olivia, and Aurora. Sebastian stated, \"(if (Lucas is a sinner and Aurora is a sinner and Sebastian is a saint) then (Sebas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 266, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"t... | {"split": "train", "index": 18044} |
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, Ethan, Evelyn, Jackson, and Sophia. Zoey said that (Sophia is a pioneer) or Jackson is a pioneer or Evelyn is a pioneer or (if (Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 267, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 2], [\"lying\", 3], [\"->\", ... | {"split": "train", "index": 18045} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Alexander, Sofia, Emily, Ava, and Henry. Alexander said, \"(if (if Henry is a laggard then Emily is a laggard) then (Ava is a pioneer if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 268, \"statements\": [[\"or\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"not\", [\"... | {"split": "train", "index": 18046} |
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: Mia, Harper, Logan, Sebastian, and Jacob. Mia expressed that (it is not the case that (Sebastian is an angel if and only if Harper is a devil)) and ((M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 269, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 18047} |
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, Daniel, Oliver, Ethan, and Penelope. Logan commented, \"if ((Penelope is a devil and Penelope is an angel) and Oliver is a devil and (Penelope i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 270, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 2], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\... | {"split": "train", "index": 18048} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, James, Samuel, Abigail, and Sophia. \"James is a knave,\" Daniel mentioned. James was heard saying, \"((Daniel is a knave and Sophia is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 271, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 4]], [\"telling-truth\", 1], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"telling-truth\", 2]], [\"->\", [\"and\", [\"<=>\", [\"te... | {"split": "train", "index": 18049} |
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, Owen, Aurora, Benjamin, and Ava. According to Victoria, \"it is not the case that (it is not the case that (Owen is an altruist))\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 272, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 1]]]], [\"or\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"lying\", 0], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"->\... | {"split": "train", "index": 18050} |
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: Aria, Samuel, Jacob, Matthew, and Lily. \"((Jacob is a knight or Lily is a knave or Matthew is a knave) and Matthew is a knight and Lily is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 273, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"not\", [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 2], ... | {"split": "train", "index": 18051} |
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, Avery, Joseph, Mia, and Ava. Owen told you that (it is not the case that (Mia is an altruist or Joseph is an egoist or Ava is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 274, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"<=... | {"split": "train", "index": 18052} |
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: Emma, Harper, Zoey, Jack, and Elizabeth. In a statement by Emma: \"(it is not the case that (Zoey is a knave or Harper is a knave or Zoey is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 275, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 4], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 4]]]], ... | {"split": "train", "index": 18053} |
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: Aiden, Harper, Mia, Alexander, and Sophia. Aiden said, \"(it is not the case that (Alexander is a devil)) or (Alexander is an angel or (Sophia is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 276, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"lyi... | {"split": "train", "index": 18054} |
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: Aiden, Ava, Lucas, David, and Penelope. Aiden stated, \"if ((if David is a fool then Penelope is a sage) if and only if Ava is a sage) then Ava is a sage\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 277, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"lying\", 2]]]], [\"not\", [\... | {"split": "train", "index": 18055} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Riley, Logan, Jacob, Sofia, and Ethan. Riley said, \"(Sofia is a fool) if and only if ((if Logan is a fool then Sofia is a sage) or (Logan is a fool)).\" L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 278, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]]], [\"telling-truth\", 3], [\"or\", [\"<=>\", [\"and\", [\"telling... | {"split": "train", "index": 18056} |
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: Liam, Matthew, Zoey, Logan, and Jackson. Liam remarked, \"if ((Zoey is a saint) and Matthew is a saint and (Zoey is a sinner and Jackson is a sinner ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 279, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 1], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"lyi... | {"split": "train", "index": 18057} |
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, Olivia, Logan, Avery, and Henry. As Harper put it, \"(Olivia is a sage) and (if (if Henry is a fool then Avery is a fool) then (if Henry is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 280, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lyi... | {"split": "train", "index": 18058} |
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: Luke, Isabella, Aurora, Daniel, and Matthew. \"(it is not the case that (Daniel is an altruist or Isabella is an altruist or Daniel is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 281, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 4]]]], [\"and\... | {"split": "train", "index": 18059} |
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: Abigail, Logan, Michael, Amelia, and Charlotte. \"if (it is not the case that (Abigail is an angel if and only if Michael is a devil)) then Amelia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 282, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 3]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\"... | {"split": "train", "index": 18060} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Logan, Alexander, William, and Sofia. \"William is a knight,\" Ella declared. \"it is not the case that (it is not the case that (if Ella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 283, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]]]], [\"->\", [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"lying\", 0]]... | {"split": "train", "index": 18061} |
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, Lucas, Chloe, David, and Grace. Logan said that David is a saint and ((Grace is a sinner) or (Chloe is a sinner or David is a saint or Grace i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 284, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\",... | {"split": "train", "index": 18062} |
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: Charlotte, Noah, Amelia, Zoey, and Penelope. As Charlotte put it, \"Penelope is a sage and ((if Zoey is a sage then Zoey is a fool) if and only if Zoey is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 285, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 3]], [\"not\", [\"not\", [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\... | {"split": "train", "index": 18063} |
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, Grace, Alexander, Isabella, and Olivia. \"Alexander is a saint,\" Daniel claimed. Grace commented, \"((if Daniel is a sinner then Alexander i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 286, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"->\", [\"and\", [\"lying\", 0], [\"tel... | {"split": "train", "index": 18064} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Emma, William, Ava, and Joseph. James told you that if (Emma is a knave and (if Ava is a knight then Emma is a knight) and (Ava is a knave or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 287, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1]]], [\"lying\", 2]], [\"and\", [\"not\", [\"not\... | {"split": "train", "index": 18065} |
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: Jack, Mia, Abigail, Elizabeth, and Joseph. In a statement by Jack: \"((if Mia is a pioneer then Joseph is a laggard) and (Elizabeth is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 288, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0],... | {"split": "train", "index": 18066} |
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: Jacob, Grace, Sophia, Oliver, and Olivia. Jacob expressed that Olivia is an egoist. Grace expressed that if ((if Oliver is an altruist then Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 289, \"statements\": [[\"lying\", 4], [\"->\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 2], ... | {"split": "train", "index": 18067} |
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, Michael, Sofia, Sebastian, and Liam. In Henry's words: \"((if Liam is a laggard then Michael is a laggard) or (Sofia is a laggard) or Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 290, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]], [\"lying\", 1], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 2]], [\"or\", [\"and\", [\"->\", [\"l... | {"split": "train", "index": 18068} |
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: Jacob, Penelope, Henry, Aria, and James. Jacob was heard saying, \"((Aria is an egoist if and only if Henry is an egoist) and Penelope is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 291, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 1], [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"ly... | {"split": "train", "index": 18069} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Victoria, Ava, Penelope, Joseph, and Avery. \"it is not the case that ((if Avery is a villain then Victoria is a hero) or (Joseph is a villain and Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 292, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 1], [\"or\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 18070} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Samuel, Ethan, Grace, Abigail, and Liam. Samuel commented, \"((if Grace is an egoist then Ethan is an altruist) and (Liam is an altruist and Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 293, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"tell... | {"split": "train", "index": 18071} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lucas, Olivia, Ava, Logan, and Jackson. \"if (it is not the case that (Ava is an altruist or Olivia is an altruist)) then Olivia is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 294, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 1]], [\"or\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\... | {"split": "train", "index": 18072} |
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: Oliver, Victoria, Penelope, Mia, and Sophia. In a statement by Oliver: \"(it is not the case that (Penelope is a pioneer or Victoria is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 295, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 4]], [\"or\", [\"lying\", 0], [\"not\", [\"lying\", 2]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"ly... | {"split": "train", "index": 18073} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emily, Ella, Aiden, Lily, and Mia. According to Emily, \"((Lily is a villain) or (Mia is a hero and Ella is a hero)) or ((Aiden is a hero) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 296, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", ... | {"split": "train", "index": 18074} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Noah, Mia, Victoria, David, and Ella. Noah noted, \"Victoria is a devil\". \"(if (if Mia is an angel then Ella is an angel) then (if Victoria is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 297, \"statements\": [[\"lying\", 2], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], ... | {"split": "train", "index": 18075} |
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, Henry, Mia, Jackson, and Owen. According to Zoey, \"if (if Jackson is a pioneer then Owen is a pioneer) then ((Jackson is a pioneer) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 298, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 3]]]], [\"and\", [\"not\", [\"and\", [... | {"split": "train", "index": 18076} |
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: Jacob, Chloe, Avery, Aria, and Emma. According to Jacob, \"Emma is a knight\". \"((Aria is a knave if and only if Avery is a knave) or (if Emma is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 299, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telli... | {"split": "train", "index": 18077} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Sofia, Chloe, Abigail, and Zoey. In Logan's words: \"it is not the case that (if Abigail is a knight then (if Zoey is a knight then Zoey is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 300, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"not\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 18078} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Noah, Ella, Liam, Evelyn, and Benjamin. Noah asserted: \"(Benjamin is a hero if and only if (Benjamin is a villain or Evelyn is a hero or Liam is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 301, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\",... | {"split": "train", "index": 18079} |
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, Samuel, Elizabeth, Alexander, and Joseph. In a statement by James: \"((Elizabeth is a pioneer and Alexander is a pioneer and James is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 302, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"te... | {"split": "train", "index": 18080} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Grace, Ava, Aria, Ella, and Liam. According to Grace, \"(it is not the case that (Liam is an altruist if and only if Ella is an altruist)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 303, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"lying\"... | {"split": "train", "index": 18081} |
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: Evelyn, Aiden, Jackson, Mia, and Emma. In Evelyn's words: \"(it is not the case that (if Evelyn is an angel then Jackson is a devil)) and (if Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 304, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"ly... | {"split": "train", "index": 18082} |
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: Elizabeth, Avery, Mia, Lily, and Daniel. According to Elizabeth, \"(if (Daniel is a hero) then (if Daniel is a hero then Elizabeth is a hero)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 305, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 1], [\"not\", [\"t... | {"split": "train", "index": 18083} |
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: Grace, Zoey, Michael, Abigail, and Aria. Grace expressed that if ((Abigail is a knight if and only if Michael is a knight) and (Zoey is a knave if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 306, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and... | {"split": "train", "index": 18084} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mia, Penelope, Benjamin, David, and Ava. In a statement by Mia: \"if ((Mia is an egoist) or (David is an altruist and Benjamin is an altruist a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 307, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\... | {"split": "train", "index": 18085} |
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: Victoria, Michael, Zoey, Charlotte, and Sofia. Victoria commented, \"(if (Michael is a devil or Sofia is an angel) then (Michael is a devil if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 308, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"and\... | {"split": "train", "index": 18086} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Olivia, Amelia, Evelyn, Aria, and Isabella. Olivia was heard saying, \"Amelia is a devil\". \"(it is not the case that (if Amelia is an angel then Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 309, \"statements\": [[\"lying\", 1], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 2], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [... | {"split": "train", "index": 18087} |
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: Matthew, Emily, Victoria, Chloe, and Aiden. Matthew commented, \"it is not the case that ((if Chloe is a pioneer then Emily is a pioneer) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 310, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"or\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"tel... | {"split": "train", "index": 18088} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Abigail, Olivia, Victoria, and Sofia. In a statement by Logan: \"((Sofia is a knave if and only if Victoria is a knave) if and only if (Victor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 311, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>... | {"split": "train", "index": 18089} |
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, Joseph, Luke, Olivia, and Alexander. \"(Alexander is a laggard and (Luke is a pioneer if and only if Olivia is a laggard) and (Aurora i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 312, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\"... | {"split": "train", "index": 18090} |
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, Michael, Emma, Oliver, and Evelyn. \"((if Emma is a knave then Oliver is a knave) if and only if (if Emma is a knight then Michael is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 313, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 1]], [\"->\", [\"->\", [\"lying\", 1... | {"split": "train", "index": 18091} |
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: Avery, Mia, Aurora, Victoria, and Sofia. Avery commented, \"Sofia is a sage\". Mia stated, \"it is not the case that (it is not the case that (if Aurora is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 314, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]],... | {"split": "train", "index": 18092} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Mia, Aiden, Olivia, and Noah. Ava was heard saying, \"(if (Olivia is a knave if and only if Mia is a knight) then (Aiden is a knight and Aiden i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 315, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 2]... | {"split": "train", "index": 18093} |
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: Isabella, Noah, Aiden, Olivia, and Evelyn. Isabella expressed that (it is not the case that (if Isabella is a saint then Noah is a sinner)) or ((Evel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 316, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 4]], [\"lying\", 1]], [\"not\", [\"or\", [\"<=>\", [\... | {"split": "train", "index": 18094} |
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, Amelia, Emily, James, and Abigail. David told you that (if (James is a knight and Amelia is a knave and Emily is a knave and Abigail is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 317, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], ... | {"split": "train", "index": 18095} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Victoria, Abigail, Emily, Henry, and Elizabeth. According to Victoria, \"Henry is a pioneer and ((Elizabeth is a laggard or Elizabeth is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 318, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 1], [\"lying\", 3... | {"split": "train", "index": 18096} |
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: Luke, Penelope, Harper, Joseph, and Daniel. \"(it is not the case that (Joseph is a knave)) if and only if (if (Daniel is a knight if and only if Jos... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 319, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"... | {"split": "train", "index": 18097} |
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, Henry, Lily, Sophia, and Ava. \"if (if (Sophia is a sinner) then (Henry is a saint and Ava is a saint)) then ((if Ava is a saint then Lily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 320, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-tr... | {"split": "train", "index": 18098} |
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: Jacob, Ella, Joseph, Avery, and James. Jacob asserted: \"((James is a pioneer or Avery is a pioneer) if and only if James is a laggard) or ((Jo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 321, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 4]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-t... | {"split": "train", "index": 18099} |
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