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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 9 inhabitants: Avery, James, Amelia, Aurora, Emma, Olivia, Jacob, Victoria, and Daniel. Avery told you that Olivia is a knave. James noted, \"(Aurora is a knight if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2122, \"statements\": [[\"lying\", 5], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]...
{"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 9 inhabitants: Avery, Matthew, Benjamin, Harper, Penelope, Elizabeth, Scarlett, William, and Michael. \"if Penelope is a sinner then (if William is a saint then (Wi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2123, \"statements\": [[\"->\", [\"lying\", 4], [\"->\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 7]]]], [\"->\", [\"or\", [\"lying\", 7], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lyi...
{"split": "train", "index": 19901}
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 9 inhabitants: Abigail, Owen, Ethan, Lily, Daniel, Lucas, James, William, and Aurora. \"Ethan is an angel\" - Abigail. \"((William is an angel) and (if Lucas is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2124, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"and\", [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\",...
{"split": "train", "index": 19902}
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 9 inhabitants: Amelia, Logan, Ethan, Joseph, Jackson, Emily, Lucas, Elizabeth, and Alexander. As Amelia put it, \"(if (if Alexander is an altruist then Amelia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2125, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 7], [\"or\", [\"telli...
{"split": "train", "index": 19903}
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 9 inhabitants: Noah, Emma, Evelyn, Logan, Michael, Ethan, Abigail, Benjamin, and Victoria. As Noah put it, \"if Logan is a knave then ((Evelyn is a knave or Victori...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2126, \"statements\": [[\"->\", [\"lying\", 3], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 8], [\"lying\", 6]], [\"->\", [\"lying\", 2], [\"lying\", 6]], [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 3]]]], ...
{"split": "train", "index": 19904}
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 9 inhabitants: Noah, Avery, Alexander, Olivia, Aurora, Emma, Isabella, Oliver, and Sofia. In Noah's words: \"((Avery is an altruist or Oliver is an altruist o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2127, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 7], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]], ...
{"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 9 inhabitants: Riley, Benjamin, Owen, Alexander, Amelia, Jack, Logan, Mia, and Harper. Riley told you that if (it is not the case that (Alexander is a sage)) then (if (Al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2128, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 7], [\"telling-truth\", 8]]]], [\"telling-truth\", 6...
{"split": "train", "index": 19906}
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 9 inhabitants: Grace, William, Sebastian, Harper, David, Zoey, Henry, Ethan, and Sophia. Grace expressed that it is not the case that ((if Harper is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2129, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 2]], [\"lying\", 1]]], [\"and\", [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-tr...
{"split": "train", "index": 19907}
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 9 inhabitants: Aiden, William, Joseph, Lucas, Sebastian, Benjamin, Owen, Grace, and Noah. In Aiden's words: \"it is not the case that ((Owen is a sinner if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2130, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 1]], [\"->\", [\"lying\", 7], [\"telling-truth\", 1]]]], [\"or\", [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"not\", ...
{"split": "train", "index": 19908}
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 9 inhabitants: Isabella, Evelyn, Jack, Sophia, Owen, Penelope, Harper, Samuel, and Emily. Isabella asserted: \"((Owen is a villain and Emily is a hero and Samuel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2131, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 8], [\"lying\", 7]], [\"not\", [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 8]], [\"t...
{"split": "train", "index": 19909}
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 9 inhabitants: Olivia, David, Scarlett, Abigail, Harper, Aurora, Joseph, Jacob, and Logan. \"(it is not the case that (Logan is a fool or Aurora is a fool)) or ((Scarlett...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2132, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 8], [\"lying\", 5]]], [\"or\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 5]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", ...
{"split": "train", "index": 19910}
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 9 inhabitants: Sofia, Liam, Emily, Chloe, Elizabeth, James, Samuel, Daniel, and Charlotte. In Sofia's words: \"Liam is a knight\". Liam noted, \"Samuel is a knight ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2133, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 6], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"and\", [\"not\", [\"telling-t...
{"split": "train", "index": 19911}
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 9 inhabitants: Jacob, Sophia, Evelyn, Owen, Riley, Grace, Daniel, Jack, and Zoey. \"((if Zoey is a knave then Riley is a knave) or (Riley is a knight if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2134, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 8], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 8], [\"telling-truth\", 7]]...
{"split": "train", "index": 19912}
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 9 inhabitants: Jackson, Matthew, Sophia, Riley, Evelyn, Sebastian, Joseph, Lucas, and Mason. \"(it is not the case that (Mason is an angel and Sophia is an angel and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2135, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 5]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 5], [\"telling-truth\", 8], ...
{"split": "train", "index": 19913}
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 9 inhabitants: Mia, Henry, Emily, Benjamin, Alexander, Liam, Luke, Joseph, and Chloe. \"((Emily is a devil or Joseph is a devil or Liam is a devil or Liam is an angel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2136, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 7], [\"lying\", 5], [\"telling-truth\", 5]], [\"and\", [\"lying\", 8], [\"telling-truth\", 6], [\"lying\", 6], [\"lying\", 2]], [\"not\", [\"tellin...
{"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 9 inhabitants: Jackson, Logan, Henry, Riley, Daniel, Olivia, Luke, Lucas, and Liam. \"Luke is a saint if and only if Olivia is a sinner,\" Jackson claimed. In Logan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2137, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 6]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", ...
{"split": "train", "index": 19915}
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 9 inhabitants: Luke, Oliver, Michael, Sophia, Avery, Aria, Jacob, Mia, and Jack. Luke commented, \"((Oliver is a pioneer or Michael is a pioneer or Mia is a p...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2138, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"not\", [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 0], [\"lying\", 6]...
{"split": "train", "index": 19916}
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 9 inhabitants: Logan, Emma, Chloe, Henry, Evelyn, James, Owen, Liam, and Avery. As Logan put it, \"if (James is a hero or (Logan is a hero or Owen is a villain or H...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2139, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 0], [\"lying\", 6], [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"telling-truth\", 6]], [\...
{"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 9 inhabitants: Zoey, William, Jacob, Lily, Aiden, Riley, Aurora, Penelope, and Alexander. As Zoey put it, \"(it is not the case that (Riley is a laggard)) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2140, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"and\", [\"<=>\", [\"lying\", 2], ...
{"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 9 inhabitants: Emily, Luke, Alexander, Oliver, Daniel, Jacob, Aiden, Ella, and Olivia. \"Daniel is a knight or ((Oliver is a knight) or (Olivia is a knave and Danie...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2141, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 8], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 8...
{"split": "train", "index": 19919}
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 9 inhabitants: Harper, Liam, Evelyn, Mia, Sebastian, Chloe, Alexander, Logan, and Luke. Harper commented, \"it is not the case that (if (Sebastian is a hero if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2142, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"lying\", 0], [\"not\", [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 0...
{"split": "train", "index": 19920}
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 9 inhabitants: William, Avery, Abigail, Emma, Sofia, Michael, Ella, Henry, and Charlotte. William commented, \"((Charlotte is a saint or Avery is a saint) and (Char...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2143, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 8], [\"lying\", 6]], [\"and\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"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 9 inhabitants: Joseph, James, Amelia, Harper, Jack, Mia, Avery, Sebastian, and Evelyn. \"Sebastian is a hero or (Mia is a hero),\" Joseph declared. According to Jam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2144, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"not\", [\"lying\", 5]]], [\"not\", [\"not\", [\"and\", [\"lying\", 5], [\"lying\", 4], [\"lying\", 7]]]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"...
{"split": "train", "index": 19922}
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 9 inhabitants: William, Matthew, Alexander, Emily, Logan, Henry, Grace, Chloe, and Penelope. \"it is not the case that (if (Grace is a hero and William is a hero an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2145, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 7], [\"lying\", 2]]]], [\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"l...
{"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 9 inhabitants: Lucas, Michael, Daniel, Penelope, Jackson, Ethan, Ella, Zoey, and Noah. Lucas noted, \"(it is not the case that (Ethan is a knave if and only if Noah...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2146, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 8]]], [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [...
{"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 9 inhabitants: Abigail, Jack, Zoey, Evelyn, David, Aiden, Benjamin, Amelia, and Michael. Abigail commented, \"it is not the case that (it is not the case that (if Amelia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2147, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]]]], [\"not\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 5]], [\"and\", [\"lying\", 8], [\"lying\", 2]]]], [\"<=>\"...
{"split": "train", "index": 19925}
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 9 inhabitants: Benjamin, Sophia, Samuel, William, Evelyn, Logan, Aurora, Avery, and Mia. In a statement by Benjamin: \"Mia is an egoist if and only if (Samuel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2148, \"statements\": [[\"<=>\", [\"lying\", 8], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"lying\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 7]], [\"telling-truth\", 6]]], [\"not\", [\"->\", [\"->\", [\...
{"split": "train", "index": 19926}
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 9 inhabitants: Henry, David, Logan, Sebastian, William, Lucas, Jackson, Joseph, and Ethan. \"((David is a laggard and David is a pioneer and William is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2149, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 6]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"tel...
{"split": "train", "index": 19927}
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 9 inhabitants: Lily, Jackson, Avery, Luke, Aria, William, Sophia, Benjamin, and Grace. In Lily's words: \"(Sophia is a laggard or (Sophia is a laggard and Ave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2150, \"statements\": [[\"and\", [\"or\", [\"lying\", 6], [\"and\", [\"lying\", 6], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 8], [\"lying\", 2]], [\"and\", [\"telling-truth\...
{"split": "train", "index": 19928}
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 9 inhabitants: Lucas, Amelia, Oliver, Noah, Isabella, Mason, Abigail, Emma, and Jackson. Lucas said, \"(if (Jackson is an altruist if and only if Emma is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2151, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"telling-truth\", 5]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 8]...
{"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 9 inhabitants: Aria, Daniel, Emily, Luke, Ella, Penelope, Amelia, Lucas, and Liam. \"if (if (Luke is a sinner if and only if Lucas is a sinner) then (if Penelope is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2152, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"tel...
{"split": "train", "index": 19930}
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 9 inhabitants: Lucas, Sophia, Zoey, Grace, Ava, Luke, Victoria, Abigail, and Amelia. Lucas remarked, \"(Grace is a laggard or (if Grace is a pioneer then Amel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2153, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 8], [\"lying\", 2]], [\"->\", [\"lying\", 7], [\"...
{"split": "train", "index": 19931}
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 9 inhabitants: Henry, Jackson, Ava, Charlotte, Amelia, Isabella, Jacob, William, and Matthew. \"Jacob is a knight,\" Henry mentioned. Jackson stated, \"((Jacob is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2154, \"statements\": [[\"not\", [\"lying\", 6]], [\"and\", [\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 7], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"->\", [...
{"split": "train", "index": 19932}
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 9 inhabitants: Olivia, Daniel, Joseph, Benjamin, Sebastian, Jacob, Victoria, Logan, and Henry. \"Logan is an angel and ((Daniel is an angel and Sebastian is an angel)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2155, \"statements\": [[\"and\", [\"telling-truth\", 7], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 7]]]], [\"->\", [\"lying\", 6], [\"->\", [\"not\", [\"t...
{"split": "train", "index": 19933}
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 9 inhabitants: Mason, Henry, Jacob, Samuel, Aiden, Avery, Logan, Benjamin, and Sophia. Mason stated, \"((Sophia is a saint and Jacob is a saint and Mason is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2156, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"->\", [\"telling-trut...
{"split": "train", "index": 19934}
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 9 inhabitants: Victoria, Sebastian, Grace, Daniel, Henry, Abigail, Michael, Lucas, and Charlotte. Victoria noted, \"(if Grace is a saint then (if Charlotte is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2157, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 7]], ...
{"split": "train", "index": 19935}
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 9 inhabitants: Riley, Elizabeth, Matthew, Michael, Avery, Lucas, Victoria, Chloe, and Liam. Riley asserted: \"Victoria is a villain or (it is not the case that (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2158, \"statements\": [[\"or\", [\"lying\", 6], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"telling-truth\", 1]], [\"not\", [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 0]]]], [\"and\", [\"<=>\",...
{"split": "train", "index": 19936}
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 9 inhabitants: Samuel, Isabella, Evelyn, Liam, William, Emily, Sophia, Ethan, and Alexander. Samuel noted, \"Isabella is an angel\". Isabella was heard saying, \"((if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2159, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying...
{"split": "train", "index": 19937}
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 9 inhabitants: Alexander, Liam, Henry, Ella, Olivia, William, Charlotte, Penelope, and Ava. According to Alexander, \"(if (if Alexander is an altruist then El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2160, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lyi...
{"split": "train", "index": 19938}
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 9 inhabitants: Penelope, Elizabeth, Avery, William, Samuel, Luke, Sofia, Jack, and Mia. Penelope told you that (William is a fool) if and only if ((if Jack is a fool then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2161, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 6]], [\"not\", [\"lying\", 8]]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"not\", [\"telling-truth\", 3]]], [\"->...
{"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 9 inhabitants: Amelia, David, Isabella, Elizabeth, Ava, Joseph, Daniel, Ethan, and Emma. \"Daniel is a villain,\" Amelia declared. In David's words: \"it is not the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2162, \"statements\": [[\"lying\", 6], [\"not\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 4], [\"lying\", 8]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8], [\"lying\", 8]], [\"->\", [\"telling-truth\...
{"split": "train", "index": 19940}
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 9 inhabitants: Evelyn, Grace, Aiden, Zoey, Ella, Penelope, Lucas, Isabella, and Victoria. Evelyn was heard saying, \"Lucas is a knave if and only if ((Victoria is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2163, \"statements\": [[\"<=>\", [\"lying\", 6], [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 8]], [\"and\", [\"lying\", 7], [\"telling-truth\", 8], [\"telling-truth\", 3], [\"lying\", 1]]]], [\"and\", [\"not\", [\"o...
{"split": "train", "index": 19941}
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 9 inhabitants: Benjamin, Charlotte, Aurora, Elizabeth, Lucas, Sophia, Joseph, Riley, and Aiden. Benjamin commented, \"Aurora is a hero and (if (Aiden is a hero or L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2164, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 4]], [\"telling-truth\", 3]], [\"->\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 1], [\"lyin...
{"split": "train", "index": 19942}
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 9 inhabitants: Jacob, Zoey, Aurora, Luke, Owen, Mason, Sofia, Olivia, and Lily. Jacob expressed that (if (if Lily is a devil then Aurora is a devil) then (Sofia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2165, \"statements\": [[\"or\", [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 2]], [\"or\", [\"lying\", 6], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 7]]], [\"<=>\", [\"not\", [\"lying\", 8]], [\"and\", [\"te...
{"split": "train", "index": 19943}
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 9 inhabitants: Mia, Owen, Joseph, Michael, Victoria, Aurora, Emily, Elizabeth, and Luke. As Mia put it, \"((Aurora is a sage and Michael is a sage and Luke is a fool) if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2166, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3], [\"lying\", 8]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 7]], [\"not\", [\"lying\...
{"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 9 inhabitants: Jack, Mason, Ella, Lucas, Benjamin, Aurora, Sofia, Emma, and Chloe. According to Jack, \"(if (if Emma is a knight then Sofia is a knave) then (Benjam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2167, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 6]], [\"not\", [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 8]]], [\"or\", [\"and\", [\"<=>\",...
{"split": "train", "index": 19945}
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 9 inhabitants: Victoria, Jacob, Avery, Isabella, Jack, Lily, Jackson, David, and Chloe. Victoria commented, \"Victoria is a hero and ((Isabella is a villain if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2168, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"and\", [\"lying\", 7], [\"lying\", 8], [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 4...
{"split": "train", "index": 19946}
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 9 inhabitants: Riley, Matthew, Zoey, James, Olivia, Benjamin, Ella, Ethan, and Elizabeth. Riley remarked, \"(if (Benjamin is an angel and Matthew is an angel) then (B...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2169, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"and\", [\"lying\", 2], [\"telling-truth\", 7], [\"->\", [\"lying\", 5]...
{"split": "train", "index": 19947}
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 9 inhabitants: Harper, Sofia, Sebastian, Ethan, Matthew, Aria, Henry, Michael, and Daniel. Harper told you that (Ethan is an altruist and Matthew is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2170, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"->\"...
{"split": "train", "index": 19948}
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 9 inhabitants: Logan, Liam, Daniel, Lucas, Isabella, Michael, Emma, Joseph, and Chloe. Logan was heard saying, \"Daniel is a knave\". \"Michael is a knight\" - Liam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2171, \"statements\": [[\"lying\", 2], [\"telling-truth\", 5], [\"or\", [\"lying\", 5], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 8], [\"lying\", 0], [\"lying\", 3]]], [\"<=>\", [\"and\...
{"split": "train", "index": 19949}
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 9 inhabitants: Avery, Sebastian, Jacob, Luke, Ava, Matthew, Harper, Ella, and Henry. Avery said, \"(if (Ava is a pioneer) then (Ella is a pioneer if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2172, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"<=>\", [\"not\", [\"lying\", 8]], [\"or\", [\"telling-truth\", 7], [\"lying\", 8], [\"telling-t...
{"split": "train", "index": 19950}
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 9 inhabitants: Lily, Victoria, William, Henry, Riley, David, Mia, Logan, and Oliver. Lily said that if (Henry is a hero) then ((if Mia is a villain then Victoria is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2173, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]]], [\"->\", [\"lying\", 0], [\"not\", [\"not\", [\"lying\", 8]]]], [\"and\...
{"split": "train", "index": 19951}
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 9 inhabitants: Luke, Grace, Abigail, Henry, Sebastian, Logan, Chloe, Aurora, and Benjamin. Luke expressed that (if (Sebastian is a fool or Logan is a fool or Luke is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2174, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 5], [\"telling-truth\", 0]], [\"and\", [\"lying\", 5], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"<=>\", [\"lying\...
{"split": "train", "index": 19952}
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 9 inhabitants: David, Alexander, Lily, Olivia, Jackson, Mason, Benjamin, Jack, and Aurora. In a statement by David: \"(it is not the case that (Benjamin is a sinner...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2175, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 1]]], [\"lying\", 7], [\"telling-truth\", 5]], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 2]]], [\"not\", [\"not\...
{"split": "train", "index": 19953}
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 9 inhabitants: Samuel, Lily, Olivia, Alexander, Ethan, Emma, Elizabeth, Noah, and Oliver. \"((if Elizabeth is a fool then Olivia is a fool) and (Elizabeth is a sage if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2176, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 6], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 3]]], [\"telling-truth\", 8]], [\"->\", [\"lying\", 3], [\"or\", [\"->\", [\"telling-tru...
{"split": "train", "index": 19954}
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 9 inhabitants: Sophia, Lily, Zoey, Scarlett, Harper, Olivia, Emily, Oliver, and Benjamin. As Sophia put it, \"if ((Harper is a pioneer or Harper is a laggard ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2177, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 0], [\"lying\", 6], [\"lying\", 4...
{"split": "train", "index": 19955}
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 9 inhabitants: David, Owen, Logan, Alexander, Ava, Daniel, Aiden, Joseph, and Charlotte. David commented, \"Aiden is a knave\". \"Joseph is a knight,\" Owen mention...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2178, \"statements\": [[\"lying\", 6], [\"telling-truth\", 7], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"->\", [\"lying\", 5], [\"lying\", 7]]], [\"lying\", 1]], [\"not\", [\"telling-truth...
{"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 9 inhabitants: Amelia, Penelope, Noah, Sebastian, Grace, Avery, Riley, Henry, and Elizabeth. Amelia told you that Avery is a laggard. \"Sebastian is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2179, \"statements\": [[\"lying\", 5], [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"->\", [\"telling-truth\", 7], [\...
{"split": "train", "index": 19957}
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 9 inhabitants: Benjamin, Michael, Charlotte, Victoria, Chloe, Harper, Aurora, Joseph, and Ella. Benjamin told you that (it is not the case that (if Joseph is a fool then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2180, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 7], [\"lying\", 8]]], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"...
{"split": "train", "index": 19958}
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 9 inhabitants: Jacob, Ella, Mia, Amelia, Owen, Isabella, Jackson, Logan, and Charlotte. \"Charlotte is a laggard and (it is not the case that (Charlotte is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2181, \"statements\": [[\"and\", [\"lying\", 8], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 3]]]], [\"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 9 inhabitants: Michael, Aria, Chloe, Alexander, Grace, Sophia, Sofia, Noah, and Ava. Michael told you that Aria is an altruist. As Aria put it, \"((Noah is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2182, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"telling-truth\", 7]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"telling...
{"split": "train", "index": 19960}
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 9 inhabitants: Mia, Jack, Alexander, Luke, Sebastian, Lucas, Logan, Amelia, and Chloe. Mia stated, \"if ((Chloe is an angel) and (Alexander is a devil if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2183, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 7], [\"lying\", 6], [\"lying\", 1], [\"telling-truth\", 5]]], [\"or\", [\"tel...
{"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 9 inhabitants: Riley, Isabella, Aiden, William, Harper, James, Elizabeth, Charlotte, and David. Riley was heard saying, \"(it is not the case that (David is a devil i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2184, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"telling-truth\", 5], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]]]...
{"split": "train", "index": 19962}
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 9 inhabitants: Benjamin, Alexander, Lily, Oliver, Olivia, Sophia, Penelope, Harper, and Riley. In a statement by Benjamin: \"Harper is a devil\". Alexander expressed ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2185, \"statements\": [[\"not\", [\"telling-truth\", 7]], [\"lying\", 5], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"->\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>...
{"split": "train", "index": 19963}
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 9 inhabitants: Amelia, William, Chloe, Harper, James, David, Logan, Abigail, and Luke. Amelia told you that if ((William is a saint or Luke is a sinner) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2186, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 8]], [\"<=>\", [\"lying\", 1], [\"lying\", 5]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 6]], [\"telling-truth\", 3], [\"not\", [\"l...
{"split": "train", "index": 19964}
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 9 inhabitants: Riley, Zoey, Daniel, Joseph, Oliver, Abigail, Penelope, Aurora, and Charlotte. Riley asserted: \"(if Penelope is an angel then (if Aurora is a devil th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2187, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 6], [\"->\", [\"lying\", 7], [\"lying\", 8]]], [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 5]], [\"not\", [\"lying\", 1]]], [\"not\", [\"->\",...
{"split": "train", "index": 19965}
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 9 inhabitants: Samuel, Victoria, Lucas, Evelyn, Mason, Sebastian, Jackson, Jacob, and Joseph. Samuel was heard saying, \"it is not the case that ((Mason is a fool if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2188, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]], [\"lying\", 3], [\"not\", [\"lying\", 5]]]], [\"or\", [\"not\", [\"lying\", 5]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"telli...
{"split": "train", "index": 19966}
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 9 inhabitants: Michael, David, Sofia, Elizabeth, Owen, Mia, William, Mason, and Evelyn. Michael remarked, \"(if (if Sofia is a pioneer then Elizabeth is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2189, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"lying\", 1]], [\"telling-truth\", 8], [\"not\", [\"and\", [\"t...
{"split": "train", "index": 19967}
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 9 inhabitants: Victoria, Ava, Jack, Zoey, Oliver, William, James, Sophia, and Isabella. Victoria said, \"((Isabella is a saint) or (James is a saint or Sophia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2190, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 8]], [\"or\", [\"telling-truth\", 6], [\"lying\", 7]], [\"telling-truth\", 7]], [\"not\", [\"lying\", 3]]], [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"or\", [\...
{"split": "train", "index": 19968}
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 9 inhabitants: Noah, Isabella, William, David, Daniel, Olivia, Lucas, Alexander, and Scarlett. \"(if (William is a sage and Lucas is a fool and Alexander is a sage) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2191, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 6], [\"telling-truth\", 7]], [\"lying\", 7]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"lying\", 8], [\"lying\"...
{"split": "train", "index": 19969}
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 9 inhabitants: Riley, Emily, Avery, James, Henry, William, Daniel, Elizabeth, and Sophia. Riley noted, \"it is not the case that (Elizabeth is a sinner if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2192, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 7], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]]]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 0...
{"split": "train", "index": 19970}
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 9 inhabitants: Ava, Avery, Evelyn, Joseph, Victoria, Aurora, Logan, Owen, and Lucas. According to Ava, \"Logan is a sage\". \"((Evelyn is a sage or Evelyn is a fool) or (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2193, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1], [\"lying\", 5], [\"lying\", 2]], [\"and\", [\"tellin...
{"split": "train", "index": 19971}
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 9 inhabitants: Jackson, Abigail, Victoria, Chloe, Sebastian, Lily, Matthew, Ava, and Amelia. According to Jackson, \"((Lily is an altruist and Sebastian is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2194, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"or\", [\"lying\", 2], [\"lying\", 5]]], [\"and\", [\"or\", [\"telling-tru...
{"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 9 inhabitants: David, Abigail, Scarlett, Michael, Aria, Ethan, Henry, Zoey, and Sebastian. David remarked, \"Ethan is a sage\". \"if (David is a fool or (David is a fool)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2195, \"statements\": [[\"telling-truth\", 5], [\"->\", [\"or\", [\"lying\", 0], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"lying\", 6], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"<=>\", [\"->\", [\"an...
{"split": "train", "index": 19973}
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 9 inhabitants: Owen, Joseph, Avery, David, Chloe, Amelia, Zoey, Victoria, and Benjamin. As Owen put it, \"if (if (if David is an altruist then Benjamin is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2196, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5], [\"lying\", 2]], ...
{"split": "train", "index": 19974}
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 9 inhabitants: Mason, Mia, Emily, Victoria, Jacob, Emma, Ava, Michael, and Charlotte. As Mason put it, \"it is not the case that (Charlotte is a villain and (Mia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2197, \"statements\": [[\"not\", [\"and\", [\"lying\", 8], [\"or\", [\"telling-truth\", 1], [\"lying\", 7], [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\"...
{"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 9 inhabitants: Ella, Lucas, Avery, Sofia, Lily, Charlotte, Emma, Aurora, and Jacob. \"Aurora is an angel or ((Sofia is a devil if and only if Jacob is a devil) or Ave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2198, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]], [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"or\", [\"or\", [\"telling-truth\", 6], [...
{"split": "train", "index": 19976}
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 9 inhabitants: Sebastian, Benjamin, Alexander, Olivia, Ethan, Logan, Jacob, Samuel, and Emma. In Sebastian's words: \"((Logan is a hero and Samuel is a hero and Log...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2199, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7], [\"lying\", 5]], [\"->\", [\"lying\", 7], [\"lying\", 4]], [\"not\", [\"lying\", 5]], [\"not\", [\"telling-truth\", 5]]], [\"or...
{"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 9 inhabitants: Sofia, Mia, Grace, Aurora, Avery, Sebastian, Logan, Amelia, and Luke. Sofia said that Mia is a fool. Mia asserted: \"((Logan is a sage) or Aurora is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2200, \"statements\": [[\"lying\", 1], [\"and\", [\"or\", [\"not\", [\"lying\", 6]], [\"telling-truth\", 3], [\"telling-truth\", 7], [\"->\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 6], [\"tell...
{"split": "train", "index": 19978}
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 9 inhabitants: Aria, Owen, Alexander, Chloe, Grace, Amelia, Jackson, Liam, and Olivia. Aria said, \"it is not the case that (if (Olivia is an angel or Alexander is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2201, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 8]]]], [\"or\", [\"or\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 4]], [\"<=>\",...
{"split": "train", "index": 19979}
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 9 inhabitants: Evelyn, Emma, Benjamin, James, Riley, Owen, Daniel, Joseph, and Chloe. Evelyn stated, \"James is a sinner or (Riley is a saint and Daniel is a sinner...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2202, \"statements\": [[\"or\", [\"lying\", 3], [\"and\", [\"telling-truth\", 4], [\"lying\", 6], [\"or\", [\"lying\", 5], [\"lying\", 6]], [\"not\", [\"lying\", 3]]]], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\...
{"split": "train", "index": 19980}
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 9 inhabitants: Aria, Daniel, James, Ella, Liam, Grace, Mia, Alexander, and Logan. Aria told you that Logan is an angel. Daniel was heard saying, \"((Grace is a devil ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2203, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5], [\"lying\", 8]], [\"or\", [\"lying\", 5], [\"telling-truth\", 7]], [\"or\", [\"lying\", 7], [\"telling-truth\"...
{"split": "train", "index": 19981}
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 9 inhabitants: Ella, Evelyn, Aiden, Abigail, Lily, Elizabeth, Owen, Victoria, and Joseph. According to Ella, \"if (it is not the case that (Aiden is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2204, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 2]]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\",...
{"split": "train", "index": 19982}
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 9 inhabitants: Amelia, Joseph, Liam, Emily, Emma, Aurora, Daniel, Aiden, and Aria. In a statement by Amelia: \"((if Aurora is a saint then Daniel is a sinner) or Ai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2205, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 6]], [\"lying\", 7], [\"and\", [\"telling-truth\", 7], [\"lying\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"tellin...
{"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 9 inhabitants: Emma, Zoey, Elizabeth, Emily, Liam, Charlotte, Alexander, Henry, and Victoria. Emma stated, \"(Charlotte is an angel or (Emily is a devil) or (Victoria...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2206, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 8], [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"and\", [\"lying\", 2], [\"telling-truth\", 6], [\...
{"split": "train", "index": 19984}
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 9 inhabitants: Sebastian, Avery, David, Jackson, Ethan, Sofia, Isabella, Abigail, and Riley. \"((if Ethan is a hero then Isabella is a villain) and Riley is a hero ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2207, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7]]]], [\"->\", [\"no...
{"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 9 inhabitants: Sofia, Jackson, Olivia, Mason, Isabella, Emma, Sebastian, Luke, and Noah. \"if ((Luke is a fool) and (Noah is a fool or Isabella is a fool) and (Olivia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2208, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"lying\", 8], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"lying\", 1]], [\"or\", [\"and\", [\"lying\", ...
{"split": "train", "index": 19986}
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 9 inhabitants: Jack, Mia, Henry, Amelia, Riley, Matthew, Sebastian, Mason, and Lucas. As Jack put it, \"((Riley is a fool) and (Riley is a sage) and (Sebastian is a fool ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2209, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 6], [\"or\", [\"telling-...
{"split": "train", "index": 19987}
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 9 inhabitants: Matthew, Scarlett, Ava, Aurora, Aria, Emily, Abigail, James, and Riley. Matthew remarked, \"Abigail is a pioneer or Abigail is a laggard or Emi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2210, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"lying\", 6], [\"lying\", 5]], [\"->\", [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"and\", [\"lying\", 8], [\"telling-truth\", 0], [\"telling-truth\"...
{"split": "train", "index": 19988}
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 9 inhabitants: Lily, Olivia, Jacob, Oliver, Mia, Luke, Lucas, Sophia, and Alexander. \"if (if (Jacob is a hero) then Lucas is a villain) then Jacob is a villain,\" ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2211, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 2]], [\"lying\", 6]], [\"lying\", 2]], [\"->\", [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"or\", [\"lying\", 8], [\"lying\", 4], [\"telling-truth\", 1]...
{"split": "train", "index": 19989}
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 9 inhabitants: Daniel, Emma, Ava, Abigail, Mia, Noah, Ella, Olivia, and Scarlett. \"((Mia is an altruist if and only if Ava is an egoist) if and only if (Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2212, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 8], [\"or\", [\"ly...
{"split": "train", "index": 19990}
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 9 inhabitants: Charlotte, Ava, David, Joseph, Luke, Henry, Sebastian, Chloe, and Noah. According to Charlotte, \"((Noah is an angel if and only if Sebastian is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2213, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 1...
{"split": "train", "index": 19991}
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 9 inhabitants: Zoey, Jack, Noah, Harper, Ava, Luke, Victoria, Aria, and Lucas. In a statement by Zoey: \"if (if Jack is a laggard then (Harper is a laggard or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2214, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"or\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]], [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 4...
{"split": "train", "index": 19992}
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 9 inhabitants: Penelope, Emma, Grace, Jackson, Logan, William, Olivia, Aurora, and Matthew. In a statement by Penelope: \"Olivia is a knave\". \"it is not the case ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2215, \"statements\": [[\"lying\", 6], [\"not\", [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 0], [\"lying\", 8], [\"lying\", 7]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 5], [\"...
{"split": "train", "index": 19993}
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 9 inhabitants: Sophia, Henry, Noah, Aria, Jacob, Riley, Avery, Alexander, and Lucas. \"it is not the case that (it is not the case that (if Henry is a hero then Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2216, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0], [\"telling-truth\", 8], [\"lying\", 3]]], [\"and\", [\"not\",...
{"split": "train", "index": 19994}
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 9 inhabitants: Alexander, Mia, David, Evelyn, Ethan, Benjamin, Sebastian, Sophia, and Scarlett. Alexander remarked, \"(Mia is a saint and (Mia is a saint or Evelyn ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2217, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 6]], [\"or\", [\...
{"split": "train", "index": 19995}
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 9 inhabitants: Olivia, Matthew, Avery, Owen, Grace, Jackson, Ella, Scarlett, and Ava. Olivia expressed that if Ella is an egoist then (if (if Ella is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2218, \"statements\": [[\"->\", [\"lying\", 6], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 4]], [\"lying\", 3]]], [\"<=>\", [\"lying\", 6], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"tel...
{"split": "train", "index": 19996}
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 9 inhabitants: Sophia, Scarlett, Jacob, Victoria, Charlotte, Grace, Harper, Benjamin, and Jack. Sophia commented, \"if Scarlett is a knave then (it is not the case ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2219, \"statements\": [[\"->\", [\"lying\", 1], [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 7], [\"lying\", 1]]]], [\"->\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"and\", [...
{"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 9 inhabitants: Mia, Abigail, William, James, Mason, Emma, Elizabeth, Charlotte, and Joseph. Mia commented, \"if ((Mia is a saint and Emma is a saint and James is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2220, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 8]]], [\"->\", [\"->\", [\"lying\", 7],...
{"split": "train", "index": 19998}
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 9 inhabitants: Noah, Luke, Michael, Avery, Mia, Oliver, Benjamin, Jackson, and Matthew. Noah stated, \"it is not the case that ((if Michael is a sinner then Oliver ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2221, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"lying\", 7], [\"telling-truth\", 4]]]], [\"or\", [\"<=>\", [\"telling-tr...
{"split": "train", "index": 19999}