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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: Mason, Isabella, Daniel, David, Benjamin, Ava, Amelia, Abigail, and Jackson. Mason stated, \"it is not the case that (Benjamin is a knave or David is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 532, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"...
{"split": "train", "index": 7200}
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, Amelia, Elizabeth, Aurora, Penelope, Lily, Victoria, Abigail, and Sebastian. Benjamin remarked, \"(Sebastian is a laggard or Amelia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 533, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 1]], [\"->\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 7], [\"telli...
{"split": "train", "index": 7201}
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, Benjamin, Chloe, Samuel, Olivia, Michael, Henry, William, and Mason. \"Olivia is a devil,\" Abigail claimed. In a statement by Benjamin: \"(He...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 534, \"statements\": [[\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 3]], [\"->\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"or\", ...
{"split": "train", "index": 7202}
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, Mia, Victoria, Emma, Noah, Charlotte, Jack, Ethan, and Abigail. In a statement by Chloe: \"Emma is a saint\". \"(if Ethan is a sinner then Mia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 535, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"<=>...
{"split": "train", "index": 7203}
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, Joseph, Harper, Mason, Michael, Ava, Zoey, Matthew, and Isabella. Emma was heard saying, \"(Joseph is a devil or Matthew is an angel) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 536, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 7]], [\"not\", [\"lying\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"n...
{"split": "train", "index": 7204}
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: Logan, Grace, Penelope, Chloe, Riley, Elizabeth, Jackson, Aiden, and Abigail. \"(Abigail is an egoist) and (Riley is an altruist)\" - Logan. Gr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 537, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 4]]], [\"or\", [\"lying\", 6], [\"not\", [\"lying\", 0]]], [\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 2]], [\"lying\", 6]], ...
{"split": "train", "index": 7205}
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: Avery, Michael, Amelia, Liam, Scarlett, Oliver, Joseph, Isabella, and Ella. Avery said, \"it is not the case that (if Avery is an altruist then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 538, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"lying\", 0], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"->\",...
{"split": "train", "index": 7206}
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, Evelyn, Jackson, Mason, Victoria, Sophia, Emma, Lucas, and Sebastian. Avery said, \"Evelyn is a knight.\" \"(if Evelyn is a knight then Sophia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 539, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]], [\"not\", [\"lying\", 0]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 5]], [\"not\", [\"lying\", 4]]], [\"n...
{"split": "train", "index": 7207}
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: Harper, Grace, Emma, Victoria, Liam, Riley, Zoey, Mason, and Chloe. Harper said that (Chloe is a laggard if and only if Emma is a laggard) or (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 540, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 4], [\"and\", [\"not...
{"split": "train", "index": 7208}
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, Scarlett, Matthew, Jacob, Logan, Henry, Owen, Abigail, and Lucas. Ella said, \"(Matthew is a sinner and Owen is a saint) or (Logan is a saint a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 541, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"and\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\"...
{"split": "train", "index": 7209}
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: Matthew, Scarlett, Sebastian, Elizabeth, Aurora, Abigail, Riley, Luke, and David. Matthew told you that Luke is a sage. Scarlett commented, \"Abigail is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 542, \"statements\": [[\"telling-truth\", 7], [\"lying\", 5], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\",...
{"split": "train", "index": 7210}
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: Aria, Charlotte, Olivia, Chloe, Benjamin, Sophia, David, Aiden, and Ella. Aria was heard saying, \"it is not the case that (Charlotte is an ego...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 543, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 6]]], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"telling-truth\", 0]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\",...
{"split": "train", "index": 7211}
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, Sebastian, Sofia, Evelyn, Lucas, Ella, Luke, Riley, and Logan. Harper was heard saying, \"(Sebastian is an egoist) or (Lucas is an egoi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 544, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 5]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 5], [\"lying\", 0...
{"split": "train", "index": 7212}
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: Samuel, Sebastian, Matthew, Aiden, Lily, Sophia, David, Charlotte, and Henry. Samuel commented, \"(Henry is a hero if and only if Lily is a hero) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 545, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 8]], [\"and\", [\"telling-truth...
{"split": "train", "index": 7213}
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: Matthew, Joseph, Mia, Chloe, Henry, William, Sophia, Isabella, and Sofia. \"it is not the case that (Henry is an altruist or Mia is an egoist),...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 546, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 6]]], [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 7]], [\"or\", [\"lying\", 1], [\"lying\", 8]]], [\...
{"split": "train", "index": 7214}
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, Scarlett, Mia, Avery, David, Noah, Michael, Zoey, and William. Harper said, \"(Zoey is a saint or Scarlett is a saint) if and only if (if Zoe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 547, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"->\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 4]], [\"and\", [\"telling-tru...
{"split": "train", "index": 7215}
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, Chloe, James, Aria, David, Aurora, Amelia, Avery, and Logan. \"Avery is a fool,\" Riley declared. \"(if James is a fool then Aurora is a fool) or (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 548, \"statements\": [[\"lying\", 7], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"lying\", 4], [\"lying\", 5]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"or\", [\"lying\", 5], ...
{"split": "train", "index": 7216}
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: Evelyn, Victoria, Oliver, Jacob, Aria, Henry, Riley, Emma, and David. Evelyn commented, \"Victoria is an egoist and (Riley is an egoist if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 549, \"statements\": [[\"and\", [\"lying\", 1], [\"<=>\", [\"lying\", 6], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\", [\"lying\", 8], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 0], [\"<=...
{"split": "train", "index": 7217}
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, Avery, Emily, James, Liam, Mason, Jackson, Evelyn, and Joseph. Sophia commented, \"(Liam is a devil or Evelyn is an angel) if and only if (if M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 550, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"or\", [\"tellin...
{"split": "train", "index": 7218}
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, Joseph, Chloe, Lucas, Scarlett, Ava, Grace, Zoey, and Mia. According to Charlotte, \"(Scarlett is an angel or Zoey is a devil) or (Chloe is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 551, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4]], [\"->\", [\"telling-trut...
{"split": "train", "index": 7219}
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: Abigail, Zoey, Harper, Riley, Isabella, Victoria, Matthew, Liam, and Mia. According to Abigail, \"Harper is a knave\". Zoey expressed that (Victoria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 552, \"statements\": [[\"lying\", 2], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]], [\"not\", [\"lying\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 6]]], [\"<...
{"split": "train", "index": 7220}
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, Sophia, Penelope, Joseph, Ethan, Isabella, Jacob, Lily, and Daniel. Owen said, \"Daniel is an egoist.\" Sophia expressed that (Daniel is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 553, \"statements\": [[\"lying\", 8], [\"or\", [\"not\", [\"lying\", 8]], [\"and\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"telling-truth\", 6], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"or\", [\"lyin...
{"split": "train", "index": 7221}
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, Evelyn, Aurora, David, Mason, Jack, Emily, Henry, and Ava. Avery said, \"if (Emily is a laggard if and only if David is a pioneer) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 554, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"not\", [\"->\", [\"lying\", 7], [\"lying\", 0]]], [\"not\", [\"->\", [\"lying\", 8], [\"ly...
{"split": "train", "index": 7222}
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, Amelia, Daniel, Lily, Owen, Alexander, Lucas, Matthew, and Isabella. Aria remarked, \"(if Daniel is an angel then Daniel is a devil) and (Matthew...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 555, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"lying\", 7], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 8]]]...
{"split": "train", "index": 7223}
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: Riley, Mason, Elizabeth, Zoey, Noah, Charlotte, Emma, Penelope, and Sofia. Riley told you that Elizabeth is a laggard. \"Charlotte is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 556, \"statements\": [[\"lying\", 2], [\"telling-truth\", 5], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 5]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 8]], [\"<=>\...
{"split": "train", "index": 7224}
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: William, Ethan, Logan, Riley, Amelia, Abigail, Zoey, Emily, and Scarlett. William expressed that if (Scarlett is a devil) then (Zoey is an angel if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 557, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"o...
{"split": "train", "index": 7225}
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: Owen, Ethan, Sofia, Chloe, Elizabeth, Harper, Abigail, Samuel, and Matthew. Owen noted, \"(Chloe is an angel and Harper is an angel) if and only if (Sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 558, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"->\", [\"a...
{"split": "train", "index": 7226}
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: Sebastian, Riley, Penelope, Jacob, Daniel, Jack, Jackson, Abigail, and Lily. As Sebastian put it, \"(Riley is a sage and Daniel is a sage) and (Jacob is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 559, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"telling-truth\", 7], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth...
{"split": "train", "index": 7227}
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: Sebastian, Aurora, Victoria, Penelope, Logan, Avery, Henry, Zoey, and Alexander. In Sebastian's words: \"if (Zoey is a sage and Avery is a fool) then (if H...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 560, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 5]], [\"->\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 3]], [\"lying\", 5]], [\"<=>\", [\"and\", [\"te...
{"split": "train", "index": 7228}
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, Penelope, Oliver, David, Mason, Zoey, James, Liam, and Benjamin. In Sophia's words: \"(Mason is a knave if and only if David is a knave) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 561, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"or\", [\"telling-trut...
{"split": "train", "index": 7229}
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, Benjamin, William, James, Ava, Amelia, Evelyn, Mia, and Zoey. Harper expressed that it is not the case that (Evelyn is an egoist and Zo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 562, \"statements\": [[\"not\", [\"and\", [\"lying\", 6], [\"lying\", 8]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 8]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 1...
{"split": "train", "index": 7230}
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, Mason, Liam, Elizabeth, Olivia, Grace, Emma, Henry, and William. In a statement by Lucas: \"if (Olivia is a hero or Liam is a villain) then (M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 563, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 5]]],...
{"split": "train", "index": 7231}
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, Riley, Emily, Avery, Lily, Sebastian, Luke, Aurora, and Ethan. \"(Emily is a knight if and only if Riley is a knave) and (Riley is a knight if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 564, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"lying\", 5], [\"lying\", 8], [\"or\", [\"lying\", 7], [\"->\", [\"lying\", 8], [...
{"split": "train", "index": 7232}
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: Ethan, Elizabeth, Charlotte, Mia, William, Aurora, Avery, Lucas, and Abigail. As Ethan put it, \"Avery is a laggard\". \"(Mia is a laggard and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 565, \"statements\": [[\"lying\", 6], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", ...
{"split": "train", "index": 7233}
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, Avery, Lily, Isabella, Owen, Jacob, Aiden, Aria, and Henry. According to Sebastian, \"(Owen is a knight or Avery is a knave) or (Aiden is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 566, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 6]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"not\", [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"lying\"...
{"split": "train", "index": 7234}
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, Riley, Matthew, Ethan, David, Harper, Liam, Amelia, and Sofia. \"if (if Sofia is a pioneer then David is a laggard) then (David is a lag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 567, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"lying\", 7], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 6]], [\"not\", [\"lyin...
{"split": "train", "index": 7235}
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: Grace, Samuel, Jackson, Jack, Sebastian, Alexander, William, Zoey, and Henry. Grace remarked, \"Sebastian is a fool or (Sebastian is a fool and Samuel is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 568, \"statements\": [[\"or\", [\"lying\", 4], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-...
{"split": "train", "index": 7236}
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: Oliver, Harper, Chloe, Luke, Grace, Sebastian, David, Ethan, and Michael. \"it is not the case that (Ethan is a devil and Harper is an angel),\" Oliver...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 569, \"statements\": [[\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 7]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]], [\"or\", [\"tell...
{"split": "train", "index": 7237}
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: Michael, Zoey, Lucas, Grace, Avery, Henry, Sofia, Samuel, and Sophia. In a statement by Michael: \"Grace is a fool\". Zoey asserted: \"Lucas is a sage\". I...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 570, \"statements\": [[\"lying\", 3], [\"telling-truth\", 2], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"<=>\", [\"lying\", 5], [\"and\", [\"telling-truth...
{"split": "train", "index": 7238}
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, Mia, Emma, Sophia, Alexander, Penelope, Daniel, Isabella, and Aria. As William put it, \"Isabella is a saint\". \"if Daniel is a sinner then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 571, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"lying\", 6], [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"lying\", 0], [\"not\", [\"telling-truth\", 7]]], [\"lying\", 7], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"te...
{"split": "train", "index": 7239}
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, Michael, Matthew, Riley, Mason, Charlotte, Sofia, Evelyn, and Jacob. Ava expressed that (Mason is a sinner and Matthew is a saint) and (if Matth...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 572, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 6]]], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"lying\", 5], [\"telli...
{"split": "train", "index": 7240}
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, Aiden, Scarlett, Owen, Ava, Chloe, Daniel, Luke, and Isabella. Michael said that Isabella is a villain if and only if Chloe is a hero. Aiden...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 573, \"statements\": [[\"<=>\", [\"lying\", 8], [\"telling-truth\", 5]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth...
{"split": "train", "index": 7241}
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: Alexander, Penelope, Logan, Ella, Aiden, Aurora, Isabella, Jackson, and Daniel. Alexander noted, \"Penelope is a knight\". Penelope noted, \"it is no...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 574, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", ...
{"split": "train", "index": 7242}
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, Ava, Elizabeth, Scarlett, David, Lucas, Daniel, Avery, and William. As Olivia put it, \"it is not the case that (if Scarlett is an angel then D...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 575, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"or\", [\"or\", [\"lyin...
{"split": "train", "index": 7243}
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: Benjamin, William, Daniel, Alexander, Ethan, Chloe, Luke, Joseph, and Riley. Benjamin was heard saying, \"Alexander is a knave\". In William's words:...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 576, \"statements\": [[\"lying\", 3], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 8], [\"lying\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 5]], [\"not\", [\"telling-tru...
{"split": "train", "index": 7244}
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: Alexander, Avery, Aurora, Grace, Emily, Daniel, Luke, Ava, and Liam. Alexander was heard saying, \"it is not the case that (if Liam is a villain then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 577, \"statements\": [[\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 3], [\"lying\", 6]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 5]], ...
{"split": "train", "index": 7245}
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: Victoria, Charlotte, Noah, Jackson, Avery, Jacob, Ethan, David, and Jack. Victoria noted, \"Noah is an angel if and only if (Ethan is a devil if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 578, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 7], [\"lying\", 6]]],...
{"split": "train", "index": 7246}
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, Ella, Lucas, Penelope, Isabella, Jackson, Zoey, Aiden, and Elizabeth. Michael noted, \"(if Zoey is a laggard then Ella is a pioneer) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 579, \"statements\": [[\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 0], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\",...
{"split": "train", "index": 7247}
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, David, Isabella, Amelia, Zoey, Michael, Harper, Emily, and Samuel. \"(Michael is a devil if and only if Emma is an angel) and (Isabella is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 580, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 6], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 5]]...
{"split": "train", "index": 7248}
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, James, Abigail, Chloe, Aria, Avery, Luke, Olivia, and Liam. As Jack put it, \"if (Abigail is a knave and Liam is a knight) then (James is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 581, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"->\", [\"telling-truth\", 0]...
{"split": "train", "index": 7249}
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: Jack, Sofia, Riley, Ethan, Logan, Daniel, Ella, Emma, and Charlotte. \"it is not the case that (Logan is an angel and Riley is an angel)\" - Jack. Sofi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 582, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 7]], [\"->\", [\"lying\", 0...
{"split": "train", "index": 7250}
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, Olivia, David, Emma, Riley, Jacob, Evelyn, Luke, and Sofia. Harper said, \"if Riley is a sinner then (Riley is a sinner or Jacob is a saint)....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 583, \"statements\": [[\"->\", [\"lying\", 4], [\"or\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"and\", [\"tel...
{"split": "train", "index": 7251}
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, Lucas, Emily, Abigail, Evelyn, Sebastian, Charlotte, Aria, and Scarlett. \"(Abigail is a knave and Evelyn is a knight) or (Aria is a knight if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 584, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"->\", [\"lying\", 0], [\"not\", [\"lying\", 2]]], [\"or\", [\"lying\", 5], [\"<=>...
{"split": "train", "index": 7252}
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: James, Ava, Henry, Jack, Samuel, Harper, Joseph, Mason, and Alexander. \"Ava is a knight\" - James. Ava expressed that (Samuel is a knave if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 585, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 0], [\"telling...
{"split": "train", "index": 7253}
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, Joseph, William, Sofia, Aria, Olivia, Jackson, Zoey, and Lily. According to Mason, \"if (Sofia is a villain if and only if Zoey is a villain) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 586, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"and\", [\"lying\", 6], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]...
{"split": "train", "index": 7254}
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: Owen, Olivia, Ethan, James, Ella, Sofia, Jack, Sophia, and Victoria. Owen commented, \"(Sophia is a knight if and only if Jack is a knave) and (James...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 587, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 6]], [\"and\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 4]...
{"split": "train", "index": 7255}
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, Michael, Amelia, Samuel, Emma, Riley, Jacob, Lily, and Charlotte. As Abigail put it, \"(Emma is a fool or Amelia is a sage) if and only if Amelia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 588, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 2]], [\"or\", [\"or\", [\"lying\", 7], [\"lying\", 6]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"->\", [\"tel...
{"split": "train", "index": 7256}
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: Victoria, Mason, Lily, Michael, James, Sebastian, Matthew, Joseph, and Lucas. \"(James is an egoist) or (Mason is an altruist)\" - Victoria. Ma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 589, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"or\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"telling-truth\", ...
{"split": "train", "index": 7257}
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: Olivia, Michael, Riley, Daniel, James, Elizabeth, Sebastian, Charlotte, and Aria. \"(Riley is a knight) and (Michael is a knave and Elizabeth is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 590, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 5]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"not\", [\...
{"split": "train", "index": 7258}
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: Aiden, Aria, Benjamin, Amelia, Ava, Sophia, Joseph, Abigail, and Penelope. Aiden expressed that (Aiden is an angel and Amelia is an angel) or (Amelia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 591, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"<...
{"split": "train", "index": 7259}
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, Benjamin, Daniel, William, Chloe, Abigail, Lucas, Isabella, and Scarlett. In a statement by Aurora: \"Benjamin is a knight if and only if (Be...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 592, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\...
{"split": "train", "index": 7260}
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, Aurora, Avery, Sebastian, Joseph, Victoria, Evelyn, Sofia, and Lucas. Samuel was heard saying, \"(Victoria is a devil and Joseph is a devil) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 593, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 5], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 7]]], [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 7], [\"lying\", 7]]], [\"or\...
{"split": "train", "index": 7261}
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: Elizabeth, Amelia, Joseph, Emma, Ethan, Lucas, Mason, David, and Zoey. According to Elizabeth, \"it is not the case that (Amelia is an altruist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 594, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 8], [\"lying\", 2]], [\"lying\", 3]], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 4]]], [\"...
{"split": "train", "index": 7262}
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, Benjamin, Amelia, Jack, Sofia, Evelyn, Logan, Penelope, and Alexander. \"(if Jack is an angel then Benjamin is a devil) or (Sofia is an angel or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 595, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"lying\", 8], [\"or\", ...
{"split": "train", "index": 7263}
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, Jackson, Logan, Emily, Jack, Lucas, Zoey, Sophia, and David. Amelia told you that (Sophia is a hero and Jackson is a hero) or (if Jackson is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 596, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"and\", [\"ly...
{"split": "train", "index": 7264}
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, Lily, Logan, Oliver, Aria, Charlotte, Evelyn, Chloe, and Benjamin. Henry said that Evelyn is a knight. Lily said, \"(if Charlotte is a knave t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 597, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 3]], [\"lying\", 3]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"or\"...
{"split": "train", "index": 7265}
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: Alexander, Liam, Noah, Luke, Benjamin, Logan, William, Ella, and Charlotte. \"(if Alexander is a sage then Liam is a sage) and (Logan is a sage if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 598, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 5], [\"lying\", 0]], [\"<=>\", [\"telling-tr...
{"split": "train", "index": 7266}
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, Henry, Emma, Avery, Jack, Aiden, Sebastian, Sofia, and David. Victoria was heard saying, \"(if David is a sinner then Emma is a saint) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 599, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 8]], [\"->\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"->\",...
{"split": "train", "index": 7267}
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: William, Ethan, Penelope, Elizabeth, Emily, Aiden, Ella, Olivia, and Joseph. William said that if (Penelope is an angel or Emily is a devil) then (Emil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 600, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 7], [\"lying\", 6]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"telling-trut...
{"split": "train", "index": 7268}
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, Noah, Lily, Michael, Evelyn, Jack, Alexander, Logan, and Henry. Emma stated, \"Jack is a devil\". Noah commented, \"if (Noah is an angel and Loga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 601, \"statements\": [[\"lying\", 5], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 7]], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]], [\"->\", [\"lying\", 8], [\"tell...
{"split": "train", "index": 7269}
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, Olivia, Luke, Jackson, Jack, Lucas, David, Sofia, and Evelyn. \"Sofia is a sage,\" Abigail mentioned. Olivia commented, \"(Jack is a sage and Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 602, \"statements\": [[\"telling-truth\", 7], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 8]], [\"telling-truth\", 0], [\"telling-truth\", 6], [\"and\", [\"or\", [\"telling-truth\",...
{"split": "train", "index": 7270}
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: Michael, Penelope, Joseph, William, Avery, Ethan, Olivia, Matthew, and Charlotte. Michael commented, \"Matthew is a knave and (Matthew is a knight)\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 603, \"statements\": [[\"and\", [\"lying\", 7], [\"not\", [\"lying\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 8], [\"lyi...
{"split": "train", "index": 7271}
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, Michael, Abigail, Scarlett, Mason, Samuel, Matthew, Evelyn, and Zoey. Ella expressed that it is not the case that (Mason is a villain or Zoey i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 604, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"lying\", 8]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"telling-truth\", 5...
{"split": "train", "index": 7272}
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: Jackson, Jack, James, Oliver, Liam, Matthew, Sofia, Daniel, and Ava. As Jackson put it, \"(Liam is a knave if and only if James is a knave) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 605, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 8]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"->\", [\"lying\", 6], [\"lying\", 3]]...
{"split": "train", "index": 7273}
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: Matthew, Benjamin, Owen, Jackson, Mia, David, Harper, Michael, and Aurora. Matthew remarked, \"(Mia is a fool) and (Harper is a fool)\". In a statement by ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 606, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 6]]], [\"telling-truth\", 3], [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 1...
{"split": "train", "index": 7274}
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, Mason, William, Avery, Lucas, Scarlett, Zoey, Aiden, and Liam. Victoria noted, \"(Victoria is a saint or William is a saint) and Zoey is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 607, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 6]], [\"or\", [\"not\", [\"lying\", 0]], [\"lying\", 5]], [\"lying\", 0], [\"or\", [\"<=>\", [\"telling-truth\", 7],...
{"split": "train", "index": 7275}
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: Ethan, Matthew, Oliver, Grace, Mason, Jack, Sebastian, Avery, and Penelope. \"(if Ethan is a pioneer then Jack is a laggard) or Grace is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 608, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 5]], [\"telling-truth\", 3]], [\"lying\", 3], [\"<=>\", [\"lying\", 6], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"and\", [\"or\",...
{"split": "train", "index": 7276}
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: Sebastian, Harper, Riley, Henry, David, Zoey, Scarlett, Evelyn, and Liam. In Sebastian's words: \"(Riley is a saint if and only if Henry is a saint) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 609, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"not\", [\"not\"...
{"split": "train", "index": 7277}
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, Benjamin, Avery, Lily, Aria, Riley, Michael, Luke, and Elizabeth. Mason stated, \"(Luke is a hero and Mason is a hero) and (Aria is a hero if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 610, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 5], [\"lying\", 3]], [\"or\", [\"tel...
{"split": "train", "index": 7278}
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: Oliver, Henry, Lucas, Emma, Matthew, Noah, Abigail, Harper, and Liam. \"(Harper is an egoist or Lucas is an egoist) and (Liam is an altruist an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 611, \"statements\": [[\"and\", [\"or\", [\"lying\", 7], [\"lying\", 2]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lying\", 6], [\"->\", [\"telling-truth\", 4],...
{"split": "train", "index": 7279}
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: Abigail, Victoria, Ava, Matthew, Noah, Jacob, Alexander, Amelia, and Mia. Abigail remarked, \"Amelia is a knave and (Matthew is a knave if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 612, \"statements\": [[\"and\", [\"lying\", 7], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 8]], [\"->\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"telling-truth\", 7]...
{"split": "train", "index": 7280}
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: James, Evelyn, David, Daniel, Ethan, Sebastian, Scarlett, Ella, and Jackson. James expressed that (if Daniel is a saint then Ethan is a saint) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 613, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"lying\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lyin...
{"split": "train", "index": 7281}
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: Emily, Riley, Sophia, Ava, Charlotte, Owen, Oliver, Grace, and James. In Emily's words: \"(Riley is a sage or Ava is a sage) or (Ava is a fool if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 614, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 8]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"and\", [\"telling-truth\", 3], [\"lyin...
{"split": "train", "index": 7282}
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: Henry, Mia, Jacob, Alexander, Chloe, Lucas, Liam, Isabella, and Zoey. Henry remarked, \"(Liam is an angel and Jacob is a devil) or (Isabella is an ange...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 615, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 2]], [\"not\", [\"lying\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"<=>\", [\"and\", [...
{"split": "train", "index": 7283}
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: Grace, Sebastian, Jacob, Lucas, Alexander, Abigail, Ava, Emily, and Amelia. Grace was heard saying, \"(Jacob is a sage) and (Emily is a fool)\". Sebastian ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 616, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"<=>\", [\"->\", [\"telling-truth\",...
{"split": "train", "index": 7284}
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: Elizabeth, Mia, Michael, Charlotte, Emily, Benjamin, Sofia, Sophia, and Oliver. Elizabeth asserted: \"Sophia is an altruist\". Mia asserted: \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 617, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]], [\"not\", [\"ly...
{"split": "train", "index": 7285}
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, Sebastian, Emma, Charlotte, Grace, Ella, Ava, Jack, and Daniel. Scarlett told you that Emma is a hero. As Sebastian put it, \"if (Scarlett ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 618, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 3]], [\"lying\", 1], [\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 4]], [\"<=>\", [\"lying\",...
{"split": "train", "index": 7286}
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, Elizabeth, Matthew, Samuel, Logan, Amelia, Noah, Abigail, and Avery. Aiden stated, \"(Elizabeth is a laggard if and only if Logan is a l...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 619, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 3]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-t...
{"split": "train", "index": 7287}
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, Daniel, Isabella, Liam, Aiden, Olivia, Matthew, Zoey, and Mason. Jack told you that it is not the case that (if Liam is a knight then Daniel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 620, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"lying\", 3], [\"or\...
{"split": "train", "index": 7288}
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: Harper, Zoey, Luke, William, Emma, Victoria, Riley, Alexander, and Ava. Harper said, \"if Zoey is a sage then Victoria is a sage.\" Zoey expressed that Vic...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 621, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"lying\", 5], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]]], [\"not\", [\"<=>\", [\"ly...
{"split": "train", "index": 7289}
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: Mia, Michael, Amelia, Noah, Olivia, Elizabeth, Penelope, Matthew, and Jacob. Mia noted, \"(Noah is an altruist) if and only if (if Amelia is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 622, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 8], [\"lying\", 7]]], [\"and\", [\"and\", [\"tell...
{"split": "train", "index": 7290}
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, Olivia, Henry, Emily, Sofia, Emma, Matthew, Zoey, and Sophia. Amelia asserted: \"if Emma is a knave then Olivia is a knight\". As Olivia put ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 623, \"statements\": [[\"->\", [\"lying\", 5], [\"telling-truth\", 1]], [\"not\", [\"->\", [\"lying\", 8], [\"lying\", 6]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 8]], [\"->\", [\"not...
{"split": "train", "index": 7291}
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: Oliver, Michael, Penelope, Riley, Ava, Daniel, Aria, Avery, and Olivia. Oliver said, \"Penelope is an egoist.\" Michael commented, \"if (Ava is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 624, \"statements\": [[\"lying\", 2], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 7]], [\"lying\", 8]], [\"lying\", 4], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 8]], [\"and\", [\"lying\", 4], [\"telling-truth\...
{"split": "train", "index": 7292}
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: Alexander, Aurora, Ethan, Riley, Henry, Jack, Lucas, Noah, and Sebastian. As Alexander put it, \"if Lucas is a fool then (if Jack is a sage then Henry is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 625, \"statements\": [[\"->\", [\"lying\", 6], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"lying\", 0], [\"<=>\", [\"and\", [\"lying\", 8], [\"tel...
{"split": "train", "index": 7293}
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: Victoria, Liam, Benjamin, Evelyn, Chloe, Amelia, David, Jacob, and Abigail. Victoria commented, \"it is not the case that (Jacob is a laggard i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 626, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"->\", [\"lying\", 7], [\"or\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 1]], [\"or\...
{"split": "train", "index": 7294}
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, James, Michael, Victoria, Emma, Samuel, Harper, Isabella, and Ethan. According to Oliver, \"Michael is a pioneer\". James said that (Vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 627, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5]], [\"telling-truth\", 4]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"and\", [\"or\", [\"lying\", 2...
{"split": "train", "index": 7295}
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, Mia, Aiden, Avery, Ava, Emily, Jack, Benjamin, and Michael. \"(if Aiden is a villain then Mia is a villain) and Michael is a villain,\" Isa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 628, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"lying\", 8]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]], [\"telling-truth\", 5]], [\"telling-truth\", 0], [\"and\", [\"not\", [\"lyin...
{"split": "train", "index": 7296}
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, Benjamin, Samuel, Owen, Penelope, Noah, Charlotte, Matthew, and Logan. Aurora said that if Penelope is a fool then (Matthew is a fool or Charlotte ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 629, \"statements\": [[\"->\", [\"lying\", 4], [\"or\", [\"lying\", 7], [\"lying\", 6]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 6]], [\"->\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 4...
{"split": "train", "index": 7297}
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, Owen, Lily, Jackson, Zoey, Sophia, Ella, Ava, and Luke. In a statement by Lucas: \"it is not the case that (Ava is a knight and Lucas is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 630, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"lying\", 5], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"lying\", 3]], [\"not\", [\"not\", [\"telling-t...
{"split": "train", "index": 7298}
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: Daniel, Aurora, Olivia, Penelope, Emily, Samuel, Elizabeth, Jackson, and Chloe. Daniel expressed that it is not the case that (Penelope is an angel or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 631, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"lyin...
{"split": "train", "index": 7299}