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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, Logan, Owen, Penelope, Mason, Sebastian, Daniel, Benjamin, and Olivia. In Victoria's words: \"Benjamin is a hero and (Mason is a hero if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2032, \"statements\": [[\"and\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 7]], [\"and\", [\"telling-truth\", 7], [\"lying\", 2]]...
{"split": "train", "index": 8700}
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: Luke, Grace, Jackson, Henry, Lucas, Joseph, Emily, James, and Harper. Luke said that (Lucas is an altruist or Henry is an egoist) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2033, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 0]], [\"or\", [\"lying\", 0], [\"lying\", 8]]...
{"split": "train", "index": 8701}
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, Henry, Owen, Evelyn, Olivia, Zoey, Grace, Logan, and Emily. \"Owen is a villain\" - Victoria. \"Emily is a villain and (Zoey is a villain o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2034, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 8], [\"or\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]...
{"split": "train", "index": 8702}
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: Aurora, Oliver, James, Ethan, Sofia, Benjamin, Alexander, Owen, and Jackson. Aurora was heard saying, \"Oliver is a saint\". Oliver was heard saying,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2035, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 8]]], [\"...
{"split": "train", "index": 8703}
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: Harper, Elizabeth, Aiden, Abigail, Penelope, Lucas, Emma, Sebastian, and Alexander. Harper remarked, \"Abigail is a knave\". Elizabeth commented, \"i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2036, \"statements\": [[\"lying\", 3], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 3]], [\"lying\", 7], [\"or\", [\"not\", [\"tell...
{"split": "train", "index": 8704}
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, Lucas, Sebastian, Alexander, Logan, Sophia, Aurora, Sofia, and David. Ava remarked, \"(Ava is a fool) if and only if Sophia is a fool\". Lucas said, \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2037, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 5]], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"not\", [\"<=>\", ...
{"split": "train", "index": 8705}
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: Evelyn, Abigail, Jacob, Riley, Emma, Chloe, Lucas, Jackson, and Charlotte. \"(Evelyn is an angel or Abigail is an angel) and (Jacob is an angel and Cha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2038, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"lying\", 5], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]],...
{"split": "train", "index": 8706}
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: James, Noah, Aiden, Sofia, Joseph, Lily, Ethan, Lucas, and Michael. \"Lily is a fool and (Ethan is a sage or Lily is a sage),\" James claimed. Noah was hea...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2039, \"statements\": [[\"and\", [\"lying\", 5], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"telling-truth\", 5], [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 5]], [\"telling-truth\", 8]], [\"or\", ...
{"split": "train", "index": 8707}
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: Henry, Sophia, Alexander, Jack, Mia, David, Emma, Aria, and Logan. Henry said that Emma is a hero and (Mia is a villain). \"Henry is a villain\" - So...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2040, \"statements\": [[\"and\", [\"telling-truth\", 6], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 0], [\"and\", [\"telling-truth\", 4], [\"->\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"->\", [\"telling-truth\", 7],...
{"split": "train", "index": 8708}
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: Chloe, Emma, Alexander, Mia, Zoey, Lily, Isabella, Grace, and Aria. Chloe noted, \"if (Aria is a saint or Alexander is a saint) then (Grace is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2041, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"lying\", 0], [\"te...
{"split": "train", "index": 8709}
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: Aiden, William, James, Abigail, Scarlett, Samuel, Mason, Riley, and Penelope. Aiden said that Scarlett is a pioneer. William expressed that Ril...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2042, \"statements\": [[\"not\", [\"lying\", 4]], [\"telling-truth\", 7], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 7]]], [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\...
{"split": "train", "index": 8710}
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: Penelope, Sofia, Charlotte, Logan, Ethan, Liam, Henry, Noah, and Abigail. Penelope stated, \"(Logan is a saint if and only if Abigail is a sinner) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2043, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"...
{"split": "train", "index": 8711}
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: Lily, Emily, Ella, Grace, Penelope, Ethan, Jack, Aria, and Samuel. \"(Jack is an angel) or (Ethan is an angel and Jack is a devil),\" Lily claimed. \"(...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2044, \"statements\": [[\"or\", [\"not\", [\"lying\", 6]], [\"and\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"or\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"lying\", 1], [\"or\", [\"...
{"split": "train", "index": 8712}
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, Jacob, Joseph, Noah, Avery, Sophia, Mia, Lily, and Lucas. Aiden stated, \"(Lily is a saint if and only if Noah is a saint) if and only if (Sop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2045, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2...
{"split": "train", "index": 8713}
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: Ava, William, Zoey, Mia, Luke, Ella, Emma, Samuel, and Liam. Ava commented, \"(if Liam is a laggard then Samuel is a pioneer) and Mia is a lagg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2046, \"statements\": [[\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 7]], [\"lying\", 3]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"lying\", 0]], [\"or\", [\"not\", [\"telling-truth\",...
{"split": "train", "index": 8714}
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: Aria, Emily, Lucas, Abigail, Victoria, Liam, Ethan, Matthew, and Luke. Aria remarked, \"if (Victoria is a hero and Matthew is a hero) then Victoria i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2047, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"telling-truth\", 4]], [\"lying\", 0], [\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [...
{"split": "train", "index": 8715}
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: Ella, Logan, Avery, Sebastian, Riley, William, Lily, Ethan, and Luke. According to Ella, \"if (Riley is a villain and Logan is a hero) then (William ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2048, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"tel...
{"split": "train", "index": 8716}
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: Lucas, Logan, Avery, Oliver, Ethan, David, Abigail, Jack, and Liam. As Lucas put it, \"Ethan is a hero\". Logan was heard saying, \"Jack is a hero\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2049, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 7], [\"<=>\", [\"lying\", 1], [\"lying\", 8]], [\"not\", [\"not\", [\"lying\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"or\...
{"split": "train", "index": 8717}
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: William, Owen, Victoria, Jack, Chloe, Noah, Aiden, Ethan, and Riley. William was heard saying, \"Noah is an altruist or (Chloe is an altruist)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2050, \"statements\": [[\"or\", [\"telling-truth\", 5], [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\",...
{"split": "train", "index": 8718}
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: Liam, Lily, Avery, Jackson, Benjamin, Isabella, Emily, Jack, and Aurora. Liam commented, \"(Jack is a devil or Emily is a devil) if and only if Jackson...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2051, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 7], [\"lying\", 6]], [\"lying\", 3]], [\"<=>\", [\"lying\", 0], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"and\", [\"lying\", 1], [\"not\", [\"lying\", 1...
{"split": "train", "index": 8719}
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: Jackson, Logan, Aurora, Zoey, Benjamin, Samuel, Michael, Sofia, and Joseph. As Jackson put it, \"(Aurora is a laggard or Sofia is a pioneer) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2052, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"lying\", 8], [\"telling-truth\", 6]...
{"split": "train", "index": 8720}
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, Emily, Riley, Emma, Charlotte, Olivia, Luke, Aurora, and Daniel. Avery said that if (Daniel is a knave) then (Daniel is a knave or Emily is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2053, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 8], [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"o...
{"split": "train", "index": 8721}
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: Henry, Ethan, Jacob, Benjamin, Riley, Ella, Lily, Penelope, and Alexander. Henry stated, \"Ella is a sage and (Penelope is a fool if and only if Ethan is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2054, \"statements\": [[\"and\", [\"telling-truth\", 5], [\"<=>\", [\"lying\", 7], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 6]]], [\"not\", [\"or\", [\"telling-truth\"...
{"split": "train", "index": 8722}
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: Scarlett, Benjamin, Ethan, Harper, Michael, Charlotte, Joseph, Abigail, and Mia. Scarlett told you that Abigail is a sinner. \"Ethan is a sinner or (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2055, \"statements\": [[\"not\", [\"telling-truth\", 7]], [\"or\", [\"lying\", 2], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 6]], [\"<=>\", [\"telling-tru...
{"split": "train", "index": 8723}
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: Liam, Logan, Evelyn, Zoey, Abigail, Harper, Jackson, Isabella, and Grace. \"Zoey is a sinner,\" Liam claimed. \"(if Zoey is a sinner then Harper is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2056, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 5]], [\"not\", [\"lying\", 7]]], [\"->\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"and\", [\"ly...
{"split": "train", "index": 8724}
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, Lily, Mason, Michael, Daniel, Henry, Harper, Logan, and Ella. In Matthew's words: \"Ella is a pioneer\". Lily asserted: \"(if Harper i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2057, \"statements\": [[\"not\", [\"lying\", 8]], [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 8]], [\"<=>\", [\"lying\", 3], [\"lying\", 0]]], [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 4]], [\"and\", [\"telling-truth\"...
{"split": "train", "index": 8725}
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: Ava, Abigail, Charlotte, Avery, Sofia, Lily, Owen, Michael, and Lucas. Ava noted, \"Abigail is a devil\". Abigail was heard saying, \"(Lily is a devil ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2058, \"statements\": [[\"lying\", 1], [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 8]], [\"and\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"->\", [\"telling-truth\", 6], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]]]...
{"split": "train", "index": 8726}
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: Sebastian, Elizabeth, Harper, Michael, Matthew, Noah, Abigail, Sophia, and Samuel. Sebastian noted, \"(if Noah is a knight then Samuel is a knave) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2059, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 6]], [\"<=>\", [\"telling-trut...
{"split": "train", "index": 8727}
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: Jackson, Mason, Charlotte, Oliver, Alexander, Emma, Noah, Sebastian, and Sofia. Jackson commented, \"it is not the case that (if Sofia is a lag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2060, \"statements\": [[\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"lying\", 5], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]], [\"and\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"or\", [\"an...
{"split": "train", "index": 8728}
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: Lily, William, Aurora, Daniel, Noah, Mason, Lucas, Sebastian, and Abigail. In a statement by Lily: \"it is not the case that (Daniel is a sage if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2061, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 8]]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [...
{"split": "train", "index": 8729}
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, Liam, Benjamin, Sophia, Lucas, Zoey, Charlotte, Aria, and Samuel. As Aiden put it, \"(if Zoey is a sinner then Aiden is a saint) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2062, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"not\", [\"lying\", 3...
{"split": "train", "index": 8730}
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: Aurora, Charlotte, Mia, Ella, Liam, Joseph, Emma, Chloe, and Samuel. According to Aurora, \"it is not the case that (Ella is a knight)\". \"Aurora is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2063, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"lying\", 0]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]], [\"telling-truth\", 6]], [\"telling-truth\", 6], [\"not\", [\"<=>\", [\"telling...
{"split": "train", "index": 8731}
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: Luke, Logan, William, James, Penelope, Michael, Jack, Matthew, and Henry. Luke remarked, \"Matthew is an angel\". \"(Matthew is a devil if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2064, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 8]], [\"and\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"<=>...
{"split": "train", "index": 8732}
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: Amelia, Sofia, Jacob, Victoria, William, Lily, Benjamin, Evelyn, and Aurora. As Amelia put it, \"(William is a knight or Victoria is a knight) and So...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2065, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 1]], [\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]],...
{"split": "train", "index": 8733}
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: Emily, Samuel, William, Ava, Liam, Scarlett, Abigail, Lily, and Jackson. Emily commented, \"(if Abigail is a hero then Emily is a hero) and Samuel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2066, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"lying\", 1]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"<=...
{"split": "train", "index": 8734}
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: Liam, Aurora, Evelyn, Emily, Emma, Ava, David, Jack, and Sophia. \"(if Emily is a laggard then Liam is a pioneer) and (Sophia is a pioneer and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2067, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"->\", [\"or...
{"split": "train", "index": 8735}
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: Lily, Victoria, Amelia, Riley, Noah, Owen, William, David, and Lucas. Lily said, \"if (Amelia is an egoist and David is an egoist) then Owen is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2068, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"lying\", 7]], [\"lying\", 5]], [\"<=>\", [\"lying\", 6], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"telling-truth\", 4], [\"not\", [\"and\", [\"lying\", 1...
{"split": "train", "index": 8736}
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: Jacob, Logan, Sophia, Emma, Mia, Aurora, Scarlett, Olivia, and Luke. Jacob was heard saying, \"it is not the case that (Emma is a fool or Mia is a sage)\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2069, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 6], [\"lying\", 8]]], [\"lying\", 0], [\"<=>\", [\"...
{"split": "train", "index": 8737}
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: Lucas, Alexander, Oliver, William, Sofia, Olivia, Sophia, Owen, and Logan. Lucas commented, \"if Oliver is a villain then (Oliver is a hero and Sofia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2070, \"statements\": [[\"->\", [\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]]]...
{"split": "train", "index": 8738}
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: Oliver, Noah, Liam, Sophia, Michael, Amelia, Ethan, Mason, and Charlotte. \"(Michael is a hero) and (Sophia is a villain and Ethan is a hero)\" - Oli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2071, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"telling-truth\", 7], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"te...
{"split": "train", "index": 8739}
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: Liam, James, Matthew, Emily, Scarlett, Jackson, Avery, Penelope, and Aiden. Liam expressed that (Jackson is a sinner) or (Liam is a saint if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2072, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 2]...
{"split": "train", "index": 8740}
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, Lily, Jackson, Emily, Mia, Alexander, Jacob, Matthew, and Daniel. Noah asserted: \"if (Emily is a knave) then (Jacob is a knight)\". According ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2073, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 6]]], [\"lying\", 4], [\"or\", [\"telling-truth\", 8], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"lying\", 6], [\"not...
{"split": "train", "index": 8741}
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: Ethan, Mia, Riley, Emily, Daniel, Benjamin, Aurora, Grace, and Lily. In Ethan's words: \"if (Daniel is a devil and Ethan is an angel) then (Riley is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2074, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 8]]], [\"->\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"telling-truth\", 6]], [\"and...
{"split": "train", "index": 8742}
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: Abigail, Michael, Noah, Aria, Emma, David, Ella, Avery, and William. Abigail said, \"(Avery is a hero) and (Michael is a villain or Emma is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2075, \"statements\": [[\"and\", [\"not\", [\"lying\", 7]], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 8], [\"lying\", 0]]], [\"<...
{"split": "train", "index": 8743}
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, William, Ethan, Jacob, Sofia, Matthew, Alexander, Evelyn, and Chloe. \"William is a devil\" - Ella. William was heard saying, \"(if Jacob is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2076, \"statements\": [[\"lying\", 1], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]],...
{"split": "train", "index": 8744}
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: Emma, Michael, Harper, Mason, William, Olivia, Sebastian, Alexander, and Lucas. In a statement by Emma: \"if (Mason is a sage and Sebastian is a sage) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2077, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"lying\", 2], [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\...
{"split": "train", "index": 8745}
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: Ella, Matthew, Lucas, Riley, Chloe, Jack, Olivia, Evelyn, and Owen. Ella remarked, \"if (Riley is an egoist or Jack is an altruist) then Evelyn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2078, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5]], [\"telling-truth\", 7]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 1]...
{"split": "train", "index": 8746}
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: Emma, Sophia, Isabella, Mia, David, Logan, Chloe, Sofia, and Penelope. \"it is not the case that (Sophia is a saint and Penelope is a saint),\" Emma ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2079, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"telling-trut...
{"split": "train", "index": 8747}
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: Jacob, Jackson, William, Benjamin, Sofia, Logan, Zoey, Elizabeth, and Victoria. \"(if Jackson is a hero then Jacob is a hero) if and only if (Logan i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2080, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 5]]], [\"telling-truth\", 0], [\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 6]], [\"or\", [\"telling-trut...
{"split": "train", "index": 8748}
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: Michael, Ava, William, Penelope, Aria, Matthew, Aurora, Daniel, and Olivia. Michael told you that Ava is a saint if and only if (if Olivia is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2081, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]],...
{"split": "train", "index": 8749}
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: Jacob, Oliver, Amelia, Charlotte, Olivia, Harper, Evelyn, Ava, and Penelope. Jacob remarked, \"Oliver is a hero\". Oliver remarked, \"it is not the c...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2082, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"...
{"split": "train", "index": 8750}
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: Matthew, Elizabeth, Ava, Emily, Mason, Oliver, Grace, Olivia, and David. Matthew remarked, \"it is not the case that (Elizabeth is a devil and David is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2083, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"lying\", 8]]], [\"telling-truth\", 7], [\"lying\", 7], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 7]], [\"<=>\", [\"te...
{"split": "train", "index": 8751}
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: Sebastian, Chloe, Lily, Jacob, Alexander, Michael, David, Noah, and Aurora. Sebastian noted, \"(if Chloe is a knight then Noah is a knave) or (Aurora...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2084, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 7]], [\"or\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"lying\", 3], [\"or\", [\"or\...
{"split": "train", "index": 8752}
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: Emma, Riley, Jacob, Grace, Lily, Noah, Avery, Sebastian, and Isabella. Emma stated, \"(Avery is an altruist and Avery is an egoist) and (Jacob ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2085, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling...
{"split": "train", "index": 8753}
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: Benjamin, Ethan, Matthew, Riley, Ella, Jackson, Aiden, Oliver, and Liam. Benjamin noted, \"Ethan is a pioneer or (if Ethan is a laggard then Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2086, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"->\", [\"lying\", 1], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-tru...
{"split": "train", "index": 8754}
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, Aurora, Sebastian, Victoria, Sofia, Abigail, Evelyn, Charlotte, and Aiden. Henry expressed that Victoria is a knave. \"(Sebastian is a knight)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2087, \"statements\": [[\"lying\", 3], [\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 2]], [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 6]], [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\"...
{"split": "train", "index": 8755}
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: Jack, Aiden, Abigail, Noah, Harper, Riley, David, James, and Zoey. \"it is not the case that (Noah is a laggard or Noah is a pioneer),\" Jack m...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2088, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"or\", [\"or\", [\"telling-truth\", ...
{"split": "train", "index": 8756}
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, Owen, Joseph, Lucas, Abigail, Ella, Aurora, and Logan. \"(Emma is a saint and Logan is a sinner) or Joseph is a sinner,\" Evelyn declar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2089, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 8]], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"or\", [\"not\", [\"lying\", 8]], [\"and...
{"split": "train", "index": 8757}
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: Scarlett, David, James, Penelope, Samuel, Daniel, Joseph, Aurora, and Henry. Scarlett told you that if (Daniel is a villain and Joseph is a villain) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2090, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"lying\", 3], [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 7]]...
{"split": "train", "index": 8758}
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: David, James, Mason, Daniel, Isabella, Riley, Henry, Abigail, and Lily. David asserted: \"if (if Mason is a hero then James is a villain) then (if Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2091, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 6], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying...
{"split": "train", "index": 8759}
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: Sophia, Sofia, Elizabeth, Lily, Victoria, Charlotte, Mason, Riley, and Mia. Sophia was heard saying, \"it is not the case that (Sophia is an angel if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2092, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"...
{"split": "train", "index": 8760}
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: Ava, Benjamin, Joseph, Emily, Aiden, Jackson, Sebastian, Amelia, and Olivia. In a statement by Ava: \"Benjamin is a saint\". Benjamin stated, \"(Jose...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2093, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 5]], [\"telling-truth\", 5]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 0], [\"telling-truth\...
{"split": "train", "index": 8761}
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: Ella, Grace, Oliver, Elizabeth, James, Aiden, Avery, Aurora, and Daniel. \"Aurora is a sinner,\" Ella claimed. Grace said, \"it is not the case that ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2094, \"statements\": [[\"lying\", 7], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]...
{"split": "train", "index": 8762}
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: Chloe, Ella, Zoey, Mia, Lily, Victoria, Elizabeth, Evelyn, and Luke. Chloe stated, \"if (if Ella is a hero then Evelyn is a villain) then (Elizabeth ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2095, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 7]], [\"and\", [\"lying\", 6], [\"lying\", 7]]], [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"telling-trut...
{"split": "train", "index": 8763}
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: Aurora, Logan, Lily, Aiden, Isabella, Benjamin, Ethan, Amelia, and Chloe. According to Aurora, \"Isabella is a villain\". In a statement by Logan: \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2096, \"statements\": [[\"lying\", 4], [\"or\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 6], [\"or\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"and\", [\"and\"...
{"split": "train", "index": 8764}
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, Scarlett, Aria, Aurora, Chloe, Luke, Alexander, Charlotte, and Emily. Lucas stated, \"it is not the case that (Emily is a knight if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2097, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"lying\", 7], [\"...
{"split": "train", "index": 8765}
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: William, Matthew, Aiden, Olivia, Amelia, James, Mia, Sophia, and Abigail. William was heard saying, \"Abigail is a fool if and only if (Olivia is a sage if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2098, \"statements\": [[\"<=>\", [\"lying\", 8], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]]...
{"split": "train", "index": 8766}
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: Liam, Sophia, Zoey, Scarlett, Lily, David, Daniel, Henry, and Jack. \"(Daniel is an altruist if and only if Lily is an egoist) or (Sophia is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2099, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 7]]], [\"lying\", 8], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"lying\", 4...
{"split": "train", "index": 8767}
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, Mia, Harper, Alexander, Zoey, William, Mason, Chloe, and Ethan. Sofia was heard saying, \"it is not the case that (Chloe is a knave)\". \"(Wil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2100, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 6]], [\"not\", [\"lying\", 7]]], [\"not\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"->\", [\"or\...
{"split": "train", "index": 8768}
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: Zoey, Charlotte, Lucas, Chloe, Oliver, Lily, Elizabeth, Harper, and James. Zoey commented, \"Harper is an angel\". Charlotte remarked, \"James is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2101, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"lying\", 8], [\"and\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 6]], [\"and\", [\"lying\", 5], [\"telling-truth...
{"split": "train", "index": 8769}
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: Lily, Victoria, Aria, Scarlett, Henry, Matthew, Liam, David, and Owen. Lily asserted: \"(Aria is a sinner if and only if David is a saint) and (if Ma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2102, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"<=>\", [\"telling-tr...
{"split": "train", "index": 8770}
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: Michael, Mia, Evelyn, Abigail, Sophia, Matthew, Ava, Emily, and Sofia. Michael asserted: \"if (Emily is a villain and Sofia is a villain) then (Matth...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2103, \"statements\": [[\"->\", [\"and\", [\"lying\", 7], [\"lying\", 8]], [\"not\", [\"telling-truth\", 5]]], [\"lying\", 7], [\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 5]], [\"lying\", 7]], [\"->\", [\"and\", [\"l...
{"split": "train", "index": 8771}
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: Daniel, Charlotte, Luke, Ethan, Oliver, Noah, Jackson, Ava, and James. In a statement by Daniel: \"if (Ava is a sage if and only if Ava is a fool) then (if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2104, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"lying\", 1], [\"lyin...
{"split": "train", "index": 8772}
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: Oliver, Lily, Elizabeth, Emily, Aiden, Owen, Joseph, Michael, and Aria. Oliver stated, \"(Aiden is a hero if and only if Lily is a villain) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2105, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 7], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 8], [\"lying\", 5]], [\"and\", [\"lying\", 4], [\"and\", [\"lying\", ...
{"split": "train", "index": 8773}
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, Aria, Riley, Logan, Jackson, Samuel, Olivia, Daniel, and Alexander. Isabella stated, \"(Alexander is a hero) if and only if (if Daniel is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2106, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 8]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"lying\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"->\", [\"telling-tr...
{"split": "train", "index": 8774}
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: Mia, Ella, Sebastian, Alexander, Sophia, Scarlett, Amelia, Benjamin, and Harper. Mia noted, \"Ella is a hero if and only if (Alexander is a hero and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2107, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"lying\", 6], [\"and\", [\"lying\", 6], [\"lying\", 5]]], [\"telling-truth\", 3], [\"or\", [\"tel...
{"split": "train", "index": 8775}
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: Penelope, David, Emma, Isabella, Riley, Alexander, Lucas, Henry, and Ethan. Penelope said, \"if (David is a hero or David is a villain) then (Henry i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2108, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\"not\", [\"lying\", 3]]], [\"o...
{"split": "train", "index": 8776}
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: Alexander, Aria, Sofia, Abigail, Daniel, David, Evelyn, Emily, and Lily. Alexander was heard saying, \"it is not the case that (Emily is a devil and Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2109, \"statements\": [[\"not\", [\"and\", [\"lying\", 7], [\"lying\", 5]]], [\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 8], [\"lying\", 7]]], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"lying\", 3],...
{"split": "train", "index": 8777}
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, Aurora, Aiden, Oliver, Scarlett, David, Charlotte, Matthew, and Elizabeth. Riley expressed that Scarlett is a hero or (if Aurora is a hero the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2110, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 8]], [\"and\", [\"lying\", 0], [\"lying\", 3]]], [\"->\", [\"<=>...
{"split": "train", "index": 8778}
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: Jack, Aurora, Benjamin, Noah, Aria, Alexander, Luke, Scarlett, and Mason. \"(if Jack is a pioneer then Mason is a laggard) or (Benjamin is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2111, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]], [\"->\", [\"lying\", 5], [\"tel...
{"split": "train", "index": 8779}
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: Charlotte, Henry, Scarlett, Ella, Matthew, Oliver, Liam, Michael, and Avery. Charlotte noted, \"Matthew is a hero or (Ella is a villain or Scarlett i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2112, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"lying\", 5], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 5], [\"lying\...
{"split": "train", "index": 8780}
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: Zoey, Mia, Chloe, Penelope, Lucas, Alexander, Joseph, Harper, and Lily. In a statement by Zoey: \"Harper is an altruist\". Mia commented, \"(Pe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2113, \"statements\": [[\"not\", [\"lying\", 7]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"tel...
{"split": "train", "index": 8781}
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: Zoey, Samuel, Jackson, Sofia, David, Ethan, Lily, Ella, and Victoria. Zoey told you that Lily is a saint. Samuel said that it is not the case that (E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2114, \"statements\": [[\"telling-truth\", 6], [\"not\", [\"not\", [\"lying\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 5], [\"telling...
{"split": "train", "index": 8782}
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: Sebastian, Abigail, Isabella, Evelyn, Charlotte, Jack, Lucas, Aria, and Riley. Sebastian noted, \"it is not the case that (if Evelyn is an egoi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2115, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 8], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 1], [...
{"split": "train", "index": 8783}
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: Aurora, Elizabeth, Liam, Mia, Oliver, Emily, Aiden, Aria, and Ella. Aurora was heard saying, \"Ella is a sage\". \"(Emily is a sage if and only if Ella is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2116, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"and\", [\"lying\", 0], [\"or\", [\"lying\", 4], ...
{"split": "train", "index": 8784}
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: Luke, Daniel, Sophia, Charlotte, Benjamin, Scarlett, Riley, Grace, and Logan. \"Charlotte is a saint,\" Luke declared. Daniel stated, \"it is not the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2117, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"or\", [\"...
{"split": "train", "index": 8785}
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: Charlotte, Harper, Mason, Alexander, Ethan, Grace, Matthew, Evelyn, and Noah. Charlotte commented, \"(Noah is a saint and Matthew is a sinner) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2118, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 6]], [\"not\", [\"lying\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"...
{"split": "train", "index": 8786}
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: Amelia, Logan, Victoria, Charlotte, Sophia, Mason, Michael, Lucas, and Mia. In Amelia's words: \"(if Michael is a knight then Charlotte is a knight) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2119, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 6]], [\"telling-truth\", 3]], [\"lyin...
{"split": "train", "index": 8787}
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: Emma, Jacob, Henry, David, Abigail, Jack, Elizabeth, Scarlett, and James. According to Emma, \"(David is a sinner or Jack is a saint) and (Henry is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2120, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3...
{"split": "train", "index": 8788}
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: Ava, Elizabeth, Harper, Owen, Lucas, Sophia, Joseph, Chloe, and Oliver. Ava said, \"it is not the case that (Lucas is a sinner).\" According to Eliza...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2121, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 7], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]]]...
{"split": "train", "index": 8789}
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: James, William, Scarlett, Lucas, Benjamin, Avery, Jacob, Sofia, and Alexander. James said that if (Lucas is an angel if and only if Benjamin is an ange...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2122, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 6]], [\"not\", [\"lying\", 2]]...
{"split": "train", "index": 8790}
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: Harper, Lucas, Riley, Victoria, Liam, Mason, Penelope, Sebastian, and Owen. As Harper put it, \"if (Owen is a saint and Harper is a saint) then Lucas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2123, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"not\", [\"lying\", 7]], [\"->\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"telling-truth\", 6]], [\"and\...
{"split": "train", "index": 8791}
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: William, Logan, Ella, Jacob, Elizabeth, Grace, Michael, Matthew, and Emily. \"(if Elizabeth is a pioneer then Logan is a laggard) and (if Micha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2124, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 6]], [\"telling-truth\", 1]], [\"lying...
{"split": "train", "index": 8792}
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: Oliver, Sophia, Scarlett, Michael, Penelope, Lucas, Owen, Aiden, and Jackson. As Oliver put it, \"Michael is a laggard\". As Sophia put it, \"i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2125, \"statements\": [[\"lying\", 3], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"lying\", 4], [\"and\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 7...
{"split": "train", "index": 8793}
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: Aurora, Joseph, Riley, Samuel, Mia, Emma, Luke, Sofia, and William. Aurora expressed that (Riley is a sage if and only if Luke is a sage) or (Emma is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2126, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"lying\", 3], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 5]], [\"not\", [\"ly...
{"split": "train", "index": 8794}
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: Sofia, Matthew, Henry, Isabella, Joseph, Alexander, Grace, Aiden, and Abigail. Sofia told you that it is not the case that (Isabella is a devil or Matt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2127, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 5]], [\"->\", [\"telling-truth\", 7], [\...
{"split": "train", "index": 8795}
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: Liam, Victoria, Sofia, Ella, Ava, Olivia, Benjamin, Scarlett, and Mason. Liam expressed that (Olivia is a laggard or Ella is a pioneer) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2128, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 3]], [\"and\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 7...
{"split": "train", "index": 8796}
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, Penelope, Lily, Samuel, Aria, Luke, Isabella, Matthew, and Joseph. \"Joseph is a pioneer,\" Zoey declared. \"Luke is a laggard,\" Penelop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2129, \"statements\": [[\"telling-truth\", 8], [\"lying\", 5], [\"lying\", 5], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 1]],...
{"split": "train", "index": 8797}
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: Mason, Riley, Lily, Emma, Evelyn, David, Scarlett, Matthew, and William. Mason said that Emma is a devil and (Scarlett is an angel and Lily is a devil)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2130, \"statements\": [[\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"o...
{"split": "train", "index": 8798}
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: Samuel, Daniel, Scarlett, Oliver, David, Ava, Isabella, Lily, and Evelyn. According to Samuel, \"if (if Ava is a pioneer then Evelyn is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2131, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 6]...
{"split": "train", "index": 8799}