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 heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Matthew, Lucas, Emma, Jacob, and Olivia. \"(it is not the case that (if Matthew is a hero then Emma is a villain)) and (if (Lucas is a villain if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2122, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"or\", [... | {"split": "train", "index": 19900} |
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: Henry, Aiden, Mia, Daniel, and Amelia. According to Henry, \"it is not the case that (if (Mia is a saint or Aiden is a saint or Daniel is a saint) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2123, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]]], [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"not\", [\"... | {"split": "train", "index": 19901} |
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: Riley, Penelope, Jacob, Charlotte, and Zoey. \"Penelope is a hero\" - Riley. Penelope said, \"(it is not the case that (if Riley is a villain then Zo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2124, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 0]]], [\"lying\", 1], [\"or\", [\"and\", [\"... | {"split": "train", "index": 19902} |
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: Sophia, Henry, Sofia, Harper, and Abigail. \"if ((Sophia is a hero or Sofia is a hero or Abigail is a villain) and (if Henry is a villain then Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2125, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 4]]]], [\"not\", [\"telling... | {"split": "train", "index": 19903} |
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, Emma, Abigail, Jackson, and Michael. Sophia asserted: \"Jackson is a sage and (it is not the case that (Emma is a sage if and only if Abigail is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2126, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth... | {"split": "train", "index": 19904} |
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, Penelope, William, Michael, and Noah. Emma noted, \"((Penelope is a devil or William is an angel or William is a devil) or (if Noah is an angel t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2127, \"statements\": [[\"and\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"tell... | {"split": "train", "index": 19905} |
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: Joseph, Abigail, Ella, James, and Chloe. Joseph said, \"(if (Abigail is a fool and Abigail is a sage) then (Abigail is a fool and Chloe is a sage and James... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2128, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 1]]], [\"lying\", 4], [\"or\", [\"n... | {"split": "train", "index": 19906} |
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: Mia, Grace, Alexander, Sophia, and Oliver. \"(it is not the case that (Mia is a knight and Grace is a knight and Sophia is a knight and Sophia is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2129, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"... | {"split": "train", "index": 19907} |
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, Owen, Amelia, Mia, and David. Riley said that if (if (Amelia is a fool or Owen is a fool) then (Riley is a sage and Owen is a sage and Owen is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2130, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"lying\", 4], [\"<=>... | {"split": "train", "index": 19908} |
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, Riley, Chloe, Henry, and Joseph. According to William, \"Joseph is an altruist\". As Riley put it, \"William is an egoist\". Chloe com... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2131, \"statements\": [[\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\",... | {"split": "train", "index": 19909} |
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, Penelope, Evelyn, Jackson, and Emily. In David's words: \"it is not the case that (it is not the case that (Jackson is a saint if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2132, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or... | {"split": "train", "index": 19910} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Elizabeth, Sofia, Aria, Benjamin, and Olivia. According to Elizabeth, \"Sofia is a pioneer\". Sofia was heard saying, \"Benjamin is a pioneer a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2133, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 0]]], [\"and\"... | {"split": "train", "index": 19911} |
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, Logan, Owen, Chloe, and Mason. Jacob said that if ((Owen is an egoist) and (Chloe is an egoist if and only if Mason is an egoist) and (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2134, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1],... | {"split": "train", "index": 19912} |
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, Scarlett, Luke, Mason, and Henry. Alexander told you that (it is not the case that (if Henry is a villain then Mason is a hero)) and Mason... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2135, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 19913} |
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, Olivia, Liam, Michael, and James. Jacob noted, \"((Michael is an altruist and Jacob is an altruist) if and only if (Michael is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2136, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-t... | {"split": "train", "index": 19914} |
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: Lily, Alexander, Oliver, Henry, and Liam. Lily said, \"it is not the case that ((Alexander is a sinner and Lily is a saint) or (if Lily is a saint th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2137, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"not\", [... | {"split": "train", "index": 19915} |
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: James, Mason, Logan, Chloe, and Luke. James said that it is not the case that ((Chloe is a saint if and only if Mason is a sinner) and (Logan is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2138, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"telli... | {"split": "train", "index": 19916} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Liam, Samuel, Alexander, and Ella. Emma said, \"(Liam is an egoist or (Samuel is an altruist) or Samuel is an egoist) and ((if Liam is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2139, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"not\", [\"lying\", 2]], [\"lying\", 2]], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"l... | {"split": "train", "index": 19917} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mia, Victoria, Penelope, Joseph, and Abigail. Mia remarked, \"Abigail is a pioneer\". \"(Joseph is a pioneer and (Abigail is a laggard)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2140, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"tel... | {"split": "train", "index": 19918} |
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, Oliver, Olivia, Victoria, and Jacob. Michael commented, \"Olivia is a knave\". Oliver asserted: \"((Victoria is a knight) if and only if (Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2141, \"statements\": [[\"lying\", 2], [\"<=>\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\"... | {"split": "train", "index": 19919} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Oliver, Evelyn, Abigail, and Samuel. Jack noted, \"it is not the case that (if (Oliver is a saint or Abigail is a sinner) then (if Abigail is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2142, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 19920} |
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, Sebastian, Emma, Emily, and Mia. In Evelyn's words: \"((Mia is an angel or Sebastian is an angel) and (Mia is a devil if and only if Emily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2143, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", ... | {"split": "train", "index": 19921} |
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: Grace, Alexander, Charlotte, Henry, and Chloe. Grace said that Chloe is a hero or (Henry is a hero). Alexander was heard saying, \"it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2144, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"not\", [\"lying\", 3]]], [\"not\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]]]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"... | {"split": "train", "index": 19922} |
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, Evelyn, Mia, Luke, and Abigail. As Owen put it, \"it is not the case that ((Luke is a fool if and only if Owen is a sage) and (Evelyn is a sage and O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2145, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"telling-truth\", 2... | {"split": "train", "index": 19923} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Ava, Jack, Sophia, and Scarlett. In a statement by Harper: \"Jack is a knight\". According to Ava, \"((if Jack is a knave then Sophia is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2146, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-t... | {"split": "train", "index": 19924} |
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: Emily, Victoria, Abigail, Harper, and Chloe. \"(if (if Victoria is a fool then Chloe is a sage) then (Emily is a sage or Harper is a sage or Victoria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2147, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-trut... | {"split": "train", "index": 19925} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Penelope, James, Ella, and Mia. Sophia remarked, \"(James is a knight if and only if (if James is a knight then Ella is a knave)) or ((James ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2148, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"telling-truth\",... | {"split": "train", "index": 19926} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Mia, Grace, David, Ella, and Henry. \"((Grace is a fool or Henry is a sage or Henry is a fool) if and only if (Mia is a sage if and only if Grace is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2149, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]... | {"split": "train", "index": 19927} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lucas, Zoey, Amelia, Aurora, and Mia. Lucas stated, \"(Aurora is a fool or (Aurora is a fool and Zoey is a sage) or (Lucas is a sage or Zoey is a fool or M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2150, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]],... | {"split": "train", "index": 19928} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Noah, William, Sebastian, Lucas, and Henry. As Noah put it, \"it is not the case that ((Sebastian is a pioneer or William is a pioneer or Noah ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2151, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-t... | {"split": "train", "index": 19929} |
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: Sofia, Olivia, Oliver, Henry, and Elizabeth. Sofia stated, \"((if Elizabeth is a sinner then Olivia is a sinner) if and only if (if Oliver is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2152, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"a... | {"split": "train", "index": 19930} |
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, Owen, Oliver, Emily, and Ethan. According to Sophia, \"if ((if Emily is a sage then Emily is a fool) if and only if Emily is a sage) then (it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2153, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 3]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1]]]], [\"and\", [\"<=>\", [\... | {"split": "train", "index": 19931} |
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, Ava, Lucas, Sebastian, and Mia. Luke told you that Lucas is a sinner and (if (Lucas is a sinner if and only if Mia is a saint) then Lucas is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2154, \"statements\": [[\"and\", [\"lying\", 2], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 2], [\"or\", [\... | {"split": "train", "index": 19932} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Avery, Jacob, Amelia, Jackson, and Evelyn. \"it is not the case that ((Jacob is a sinner or Amelia is a sinner or Amelia is a saint or Jacob is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2155, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"not... | {"split": "train", "index": 19933} |
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: Ella, Alexander, Isabella, Logan, and Sophia. Ella expressed that ((Sophia is a hero and Alexander is a hero and Ella is a hero and Isabella is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2156, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 1]... | {"split": "train", "index": 19934} |
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, Alexander, Benjamin, Emily, and Daniel. Jacob noted, \"(if (Emily is a knave if and only if Daniel is a knight) then (Benjamin is a knave and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2157, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"and\", [... | {"split": "train", "index": 19935} |
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: Lily, Matthew, Harper, Daniel, and Samuel. Lily said that if Harper is an angel then (if Samuel is a devil then Harper is an angel). As Matthew put it,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2158, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"lying\", 4],... | {"split": "train", "index": 19936} |
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: Liam, Elizabeth, Sophia, Aria, and Abigail. Liam noted, \"if (Elizabeth is a laggard) then ((Elizabeth is a laggard or Sophia is a laggard or S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2159, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"and\", [\"->... | {"split": "train", "index": 19937} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Alexander, Ava, Benjamin, and Michael. Liam said that (if (if Liam is a knight then Ava is a knight) then (if Alexander is a knave then Ava is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2160, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"lyi... | {"split": "train", "index": 19938} |
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: Chloe, Jackson, James, Joseph, and Ella. In Chloe's words: \"(Jackson is a laggard) if and only if ((if Ella is a laggard then Joseph is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2161, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 4]]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"lying\", 2], [\"tell... | {"split": "train", "index": 19939} |
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, Ethan, William, Aurora, and Jacob. Emma was heard saying, \"((Ethan is a villain or Emma is a hero or Jacob is a villain) or (Aurora is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2162, \"statements\": [[\"and\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 1]], [\"and\... | {"split": "train", "index": 19940} |
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, William, Harper, Abigail, and Jack. \"((Harper is a fool) and (William is a fool) and (if Harper is a sage then William is a fool)) and Jack is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2163, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"telling-truth\", 4]], [\"not\", [\"->\", [\"lying\", 3], [\... | {"split": "train", "index": 19941} |
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: David, Benjamin, Sofia, Henry, and Amelia. David asserted: \"Henry is a devil and Amelia is an angel\". Benjamin stated, \"Henry is an angel\". In Sofi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2164, \"statements\": [[\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"->\", [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]], [\"telling-truth\", 3]], [\"not\", [\"->\",... | {"split": "train", "index": 19942} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Logan, Avery, Olivia, Isabella, and Riley. \"Isabella is a fool\" - Logan. Avery commented, \"it is not the case that ((Riley is a fool and Logan is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2165, \"statements\": [[\"lying\", 3], [\"not\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 1... | {"split": "train", "index": 19943} |
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, Penelope, David, Aria, and Oliver. \"((David is a sinner or Aria is a sinner) and (Penelope is a saint if and only if Oliver is a sinner) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2166, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-... | {"split": "train", "index": 19944} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Jack, Emma, Harper, and Riley. Avery expressed that ((if Riley is a knave then Jack is a knave) or (Harper is a knight if and only if Jack is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2167, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 2]], [... | {"split": "train", "index": 19945} |
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: Sebastian, Chloe, Aria, William, and Scarlett. In a statement by Sebastian: \"Sebastian is an angel and ((Chloe is a devil if and only if Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2168, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 2... | {"split": "train", "index": 19946} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jack, Joseph, Ethan, Olivia, and Charlotte. In Jack's words: \"(it is not the case that (Ethan is a sage)) or (it is not the case that (Olivia is a fool an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2169, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 1]]]], [\"->\", [\"tell... | {"split": "train", "index": 19947} |
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, Luke, Sofia, Daniel, and Grace. Alexander remarked, \"Sofia is a knave\". Luke expressed that if Sofia is a knight then ((Grace is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2170, \"statements\": [[\"lying\", 2], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [... | {"split": "train", "index": 19948} |
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, David, Isabella, Liam, and Emma. Ella remarked, \"(Emma is a sage and (if Emma is a sage then David is a fool) and (Isabella is a sage if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2171, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"-... | {"split": "train", "index": 19949} |
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, Ava, Oliver, Logan, and Luke. Evelyn asserted: \"Oliver is a knight and ((Oliver is a knight) and (Ava is a knight if and only if Ava is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2172, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"and\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-... | {"split": "train", "index": 19950} |
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: Jackson, Lily, Zoey, Matthew, and James. Jackson was heard saying, \"Lily is an altruist or ((if Zoey is an altruist then James is an egoist) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2173, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"lying\", 2]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying... | {"split": "train", "index": 19951} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Emily, Riley, Owen, and Grace. Amelia told you that (if (Riley is a knave or Amelia is a knight or Grace is a knave) then (Riley is a knave i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2174, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"l... | {"split": "train", "index": 19952} |
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, Chloe, Sebastian, Amelia, and Penelope. Mason told you that Chloe is a hero. Chloe expressed that if ((if Penelope is a villain then Penelope ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2175, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"... | {"split": "train", "index": 19953} |
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: Logan, Zoey, Emma, Sophia, and Noah. Logan told you that if (it is not the case that (Logan is an altruist and Sophia is an egoist and Noah is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2176, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 1], [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], ... | {"split": "train", "index": 19954} |
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, Amelia, Evelyn, Aiden, and Olivia. In a statement by Elizabeth: \"Evelyn is a saint\". Amelia asserted: \"Elizabeth is a saint\". Evelyn t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2177, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"lying\", 0]], [\"and\", [\"or\", [\"lying\", 0], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth... | {"split": "train", "index": 19955} |
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, David, Ella, Ava, and Benjamin. Jacob was heard saying, \"Ava is a laggard\". David noted, \"(it is not the case that (if Jacob is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2178, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]]]], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 0], ... | {"split": "train", "index": 19956} |
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, Alexander, Sofia, Noah, and Joseph. Grace said that Joseph is a pioneer. Alexander was heard saying, \"Sofia is a pioneer\". \"(it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2179, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 2], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 1]]], [\"lying\", 1]... | {"split": "train", "index": 19957} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Jack, Aria, Penelope, and David. Amelia stated, \"((Jack is a knave or Jack is a knight or Penelope is a knight or David is a knave) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2180, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 4]], [\"lying\", 1]], [\"lying\", 4]], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lyi... | {"split": "train", "index": 19958} |
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: Logan, James, Lucas, Scarlett, and Matthew. \"Matthew is an egoist and (it is not the case that (Matthew is an egoist if and only if James is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2181, \"statements\": [[\"and\", [\"lying\", 4], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]]], [\"and\", [\"and\", [\"not\", [\"t... | {"split": "train", "index": 19959} |
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: Jackson, Michael, Samuel, Noah, and Luke. Jackson said, \"Jackson is an altruist.\" In Michael's words: \"((Noah is an altruist if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2182, \"statements\": [[\"telling-truth\", 0], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 19960} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: James, Samuel, Oliver, Chloe, and Harper. According to James, \"if ((Chloe is a hero or James is a hero or Oliver is a villain) and (Harper is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2183, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-tru... | {"split": "train", "index": 19961} |
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: William, Mia, Charlotte, Lily, and Victoria. As William put it, \"(it is not the case that (Victoria is a devil if and only if Charlotte is an angel)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2184, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]]]... | {"split": "train", "index": 19962} |
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: Olivia, Lily, Zoey, Michael, and Sophia. \"Sophia is a sinner,\" Olivia mentioned. Lily was heard saying, \"Zoey is a sinner\". In Zoey's words: \"(M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2185, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"lying\", 2], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"<=>... | {"split": "train", "index": 19963} |
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, Emily, Mia, Charlotte, and Samuel. Henry said that Emily is a devil and (Charlotte is a devil or (Samuel is a devil) or Mia is a devil or (Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2186, \"statements\": [[\"and\", [\"lying\", 1], [\"or\", [\"lying\", 3], [\"not\", [\"telling-truth\", 4]], [\"lying\", 2], [\"not\", [\"lying\", 4]]]], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"and\", [\"lying\", 3], [\"... | {"split": "train", "index": 19964} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Penelope, Emily, David, Lily, and Jacob. \"it is not the case that (if David is a villain then (Jacob is a hero and David is a villain and Lily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2187, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3]]]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"lying\", 4], [\"or\", [\"lying\", 1], [\"not\... | {"split": "train", "index": 19965} |
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, Grace, Henry, David, and Scarlett. \"Grace is a knight,\" Aria claimed. Grace expressed that ((David is a knight or Grace is a knight or David ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2188, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 4], [\"not\", [\"lying\", 0]]], [\"or\", [\"<=>\", [\"lying\", 2], ... | {"split": "train", "index": 19966} |
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, Jackson, James, Matthew, and Sofia. Abigail asserted: \"James is a sinner\". In a statement by Jackson: \"(if (Sofia is a sinner or James is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2189, \"statements\": [[\"lying\", 2], [\"<=>\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lying\", 3]], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"and\... | {"split": "train", "index": 19967} |
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, Mia, Ethan, Chloe, and Matthew. \"(it is not the case that (Mia is a pioneer)) if and only if Matthew is a pioneer,\" William mentione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2190, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 1]]], [\"telling-truth\", 4]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", ... | {"split": "train", "index": 19968} |
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, Jacob, Grace, Noah, and Penelope. According to Michael, \"(if (Jacob is a saint and Noah is a sinner and Penelope is a saint) then Penelope ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2191, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 4]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4], [\"lying\"... | {"split": "train", "index": 19969} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lily, Sophia, Charlotte, Jacob, and Sebastian. \"it is not the case that (Sebastian is a villain if and only if (Sebastian is a hero if and only if S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2192, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 0... | {"split": "train", "index": 19970} |
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, Ethan, Alexander, Ella, and David. \"if ((Ethan is a knave) and (Alexander is a knight) and (Henry is a knave)) then ((if Alexander is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2193, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\... | {"split": "train", "index": 19971} |
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, Matthew, Lucas, Ava, and Sebastian. According to Riley, \"if (it is not the case that (Matthew is a pioneer or Lucas is a laggard)) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2194, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 1], [\"telling-truth... | {"split": "train", "index": 19972} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Zoey, Aiden, Emily, Evelyn, and Luke. \"((Luke is a fool and Evelyn is a fool and Zoey is a sage and Emily is a sage) if and only if (Luke is a fool if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2195, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"l... | {"split": "train", "index": 19973} |
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, Lucas, Matthew, Riley, and Aria. David remarked, \"if (it is not the case that (David is a knight and Riley is a knight and Lucas is a knave a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2196, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 1], [\"telling-truth\... | {"split": "train", "index": 19974} |
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, Elizabeth, Emma, Benjamin, and Ethan. Aria asserted: \"Elizabeth is a knight\". \"if (Emma is a knave and (Aria is a knave if and only if Benja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2197, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"and\", [\"lying\", 2], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"or... | {"split": "train", "index": 19975} |
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, Emma, Avery, Penelope, and Benjamin. Zoey expressed that if (Penelope is an angel) then ((if Benjamin is a devil then Benjamin is an angel) or Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2198, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"<=>\", [\"and\", [\"... | {"split": "train", "index": 19976} |
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: Logan, Grace, Amelia, Michael, and Joseph. Logan told you that ((Joseph is an egoist) if and only if (Amelia is an egoist if and only if Amelia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2199, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling... | {"split": "train", "index": 19977} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jackson, Grace, Harper, Avery, and Mia. According to Jackson, \"(if (Grace is a fool if and only if Avery is a fool) then Harper is a fool) or (it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2200, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"lying\", 2]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<... | {"split": "train", "index": 19978} |
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: Luke, Matthew, Michael, Samuel, and Olivia. Luke stated, \"if Samuel is a laggard then ((Samuel is a laggard) and (Michael is a laggard if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2201, \"statements\": [[\"->\", [\"lying\", 3], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"lying\", 3]]], [\"not\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", ... | {"split": "train", "index": 19979} |
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, Charlotte, Samuel, Amelia, and Jacob. Abigail said that Charlotte is a knave or (Samuel is a knight and Amelia is a knave and (Samuel is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2202, \"statements\": [[\"or\", [\"lying\", 1], [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 2]]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\... | {"split": "train", "index": 19980} |
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, James, Jacob, Michael, and Aurora. \"Aurora is a sage\" - Owen. In James's words: \"((Michael is a fool and Michael is a sage and Aurora is a fool) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2203, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 19981} |
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, Matthew, Aria, Zoey, and David. \"if (it is not the case that (Matthew is a knight if and only if Zoey is a knight)) then ((Aria is a knight) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2204, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 1]]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\",... | {"split": "train", "index": 19982} |
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: Jacob, David, Liam, Victoria, and Lucas. Jacob stated, \"if ((if Liam is a sage then David is a fool) if and only if Liam is a fool) then (if (Liam is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2205, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"lying\", 2]], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 19983} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Amelia, Michael, Elizabeth, Liam, and Logan. Amelia noted, \"Michael is a devil\". Michael told you that Elizabeth is an angel. Elizabeth remarked, \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2206, \"statements\": [[\"lying\", 1], [\"telling-truth\", 2], [\"not\", [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 1]]]], [\"or\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 19984} |
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: Sebastian, Emily, Grace, William, and Jackson. According to Sebastian, \"((if Grace is a sage then William is a fool) and Jackson is a sage and (Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2207, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 3]], [\"lying\", 3], [\"not\", [\"telling-truth\", 0]], [\"ly... | {"split": "train", "index": 19985} |
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, Isabella, Liam, Grace, and Scarlett. \"it is not the case that (Liam is a fool and (Liam is a fool) and (Oliver is a sage or Grace is a fool)),\" O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2208, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"not\", [\"not\", [\"telling-trut... | {"split": "train", "index": 19986} |
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, Lucas, Grace, Owen, and Harper. \"it is not the case that ((Owen is a hero if and only if Harper is a villain) if and only if (Lucas is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2209, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"t... | {"split": "train", "index": 19987} |
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: Luke, Ava, Daniel, Penelope, and Charlotte. \"Penelope is an angel or Penelope is a devil or (if (Penelope is an angel and Ava is an angel and Charlott... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2210, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]]], [\"not\", [\"or\", [\"telling-tru... | {"split": "train", "index": 19988} |
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: Oliver, Olivia, Mason, Michael, and Harper. Oliver was heard saying, \"(if Harper is a knight then (Michael is a knight and Michael is a knave)) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2211, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"telling-... | {"split": "train", "index": 19989} |
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: Emily, Liam, Scarlett, James, and Ethan. \"(if James is an angel then (if Liam is an angel then Ethan is an angel)) and ((James is a devil or Scarlett ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2212, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 19990} |
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: Oliver, Evelyn, Benjamin, Samuel, and Grace. \"((Benjamin is a hero or Grace is a hero or Evelyn is a villain) or (Samuel is a hero)) and Evelyn is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2213, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]], [\"and\", [\"or\", [\"and\", [... | {"split": "train", "index": 19991} |
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, Oliver, Henry, Matthew, and Evelyn. Ava asserted: \"if (if Matthew is a knight then (Oliver is a knave and Matthew is a knave and Matthew is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2214, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 2],... | {"split": "train", "index": 19992} |
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, Jackson, Owen, Emma, and Mia. Noah commented, \"(it is not the case that (Owen is an angel or Jackson is a devil or Owen is a devil or Mia is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2215, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 4]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth... | {"split": "train", "index": 19993} |
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: Abigail, Evelyn, Sebastian, Mason, and Logan. According to Abigail, \"Mason is a sage\". Evelyn said that (Sebastian is a sage or (Abigail is a sage if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2216, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 0]], [\... | {"split": "train", "index": 19994} |
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: Michael, Ethan, Amelia, Abigail, and Jack. Michael commented, \"Michael is a hero\". Ethan expressed that if Abigail is a villain then Michael is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2217, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 4]]]], [\"or\", ... | {"split": "train", "index": 19995} |
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, Ella, Aiden, Olivia, and Lily. Scarlett stated, \"if ((Olivia is a devil) and (Scarlett is a devil)) then Aiden is an angel\". In Ella's word... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2218, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 2]], [\"and\", [\"lying\", 0], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [... | {"split": "train", "index": 19996} |
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: Mason, Evelyn, Amelia, Chloe, and Matthew. Mason said, \"(if (Evelyn is a pioneer) then (Matthew is a laggard and Evelyn is a pioneer)) or (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2219, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 1]]]], [\"or\", [\"or\", ... | {"split": "train", "index": 19997} |
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, Isabella, Benjamin, and James. \"David is a saint\" - Charlotte. David remarked, \"Charlotte is a sinner and ((Benjamin is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2220, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"lying\", 0], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 0], [\"telling-truth\", 1]]], [... | {"split": "train", "index": 19998} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lucas, Daniel, Ella, Noah, and James. As Lucas put it, \"((Ella is a sage) or (if Daniel is a fool then James is a fool)) and (it is not the case that (Noa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2221, \"statements\": [[\"and\", [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 4]]]], [\"or\", [\"<=>\", [\"->\", [\"lying... | {"split": "train", "index": 19999} |
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