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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: Jack, Lily, Zoey, Luke, Sofia, William, David, Joseph, and Charlotte. \"David is a knave,\" Jack mentioned. As Lily put it, \"((if Joseph is a knave ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2166, \"statements\": [[\"lying\", 6], [\"<=>\", [\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 7]], [\"lying\", 5]], [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 0]], [\"not\...
{"split": "train", "index": 15500}
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, Jack, Ethan, Amelia, Samuel, Jacob, Mason, James, and Luke. Benjamin said, \"if ((if Samuel is a pioneer then Jack is a laggard) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2167, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"<=>\", [\"not\", [...
{"split": "train", "index": 15501}
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, Abigail, Ella, Oliver, Isabella, Noah, Zoey, Avery, and Jack. \"if Isabella is a devil then Jack is an angel,\" Aiden claimed. Abigail stated, \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2168, \"statements\": [[\"->\", [\"lying\", 4], [\"telling-truth\", 8]], [\"->\", [\"->\", [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"l...
{"split": "train", "index": 15502}
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, Abigail, Emily, Benjamin, Aiden, William, Harper, Avery, and Ella. Oliver stated, \"if ((Emily is a pioneer and Ella is a pioneer) or (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2169, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]...
{"split": "train", "index": 15503}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Amelia, William, Chloe, James, Emily, Aria, Michael, Aurora, and Mason. According to Amelia, \"(if (if James is a sinner then Chloe is a sinner) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2170, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 4], [\"telling-tru...
{"split": "train", "index": 15504}
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, Avery, Michael, Lily, Ella, Liam, Scarlett, Sofia, and Riley. Oliver expressed that it is not the case that ((Michael is a hero or Liam is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2171, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 5]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"and\", [\"lying\", 0], [\"not\", [\"->\",...
{"split": "train", "index": 15505}
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: Henry, William, Ava, Sofia, Sebastian, Charlotte, Elizabeth, Victoria, and Emma. Henry said that Sofia is a sinner. \"((Ava is a sinner if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2172, \"statements\": [[\"lying\", 3], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3...
{"split": "train", "index": 15506}
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: Emily, Mason, Isabella, Victoria, Sofia, Henry, Michael, Luke, and Oliver. Emily remarked, \"(if (Michael is a devil if and only if Isabella is an ange...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2173, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]], [\"lying\", 5]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 8]], [\"<=>\", [\"lying\", 5], [\"lying\", 4]]]], [\"->\", [\"->\", ...
{"split": "train", "index": 15507}
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: James, Henry, Joseph, William, Benjamin, Abigail, Olivia, Liam, and Sophia. In a statement by James: \"if ((if Abigail is an egoist then Liam i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2174, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]...
{"split": "train", "index": 15508}
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, Noah, Olivia, Zoey, Daniel, Ava, Emily, Sophia, and Emma. \"Noah is a sinner and ((Zoey is a saint) if and only if Sophia is a sinner),\" S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2175, \"statements\": [[\"and\", [\"lying\", 1], [\"<=>\", [\"not\", [\"lying\", 3]], [\"lying\", 7]]], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"lying\", ...
{"split": "train", "index": 15509}
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, Sofia, William, Sophia, Scarlett, Amelia, Emma, Grace, and Alexander. \"if (if (Grace is an altruist and Sofia is an egoist) then (if Em...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2176, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 1]], [\"->\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 5]], [\"and\", [\"telling-truth\", 8...
{"split": "train", "index": 15510}
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, William, Aiden, Henry, Chloe, Jackson, Evelyn, Grace, and Harper. Avery commented, \"Grace is an altruist\". In William's words: \"((Aid...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2177, \"statements\": [[\"not\", [\"lying\", 7]], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 8]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 8]], [\"telling-truth\", 2]]], ...
{"split": "train", "index": 15511}
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: Aria, Olivia, Ava, Mason, Riley, Victoria, William, Elizabeth, and Owen. Aria was heard saying, \"if ((Mason is a knight) if and only if (Owen is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2178, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"lying\", 8]], [\"lying\", 4]]], [\"telling-truth\", 7], [\"telling-truth\", 5], [\"or\", [\"->\", [...
{"split": "train", "index": 15512}
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, Sophia, Evelyn, Emily, Penelope, Zoey, James, Aria, and Noah. Sebastian stated, \"(if (Sophia is a knave and Emily is a knight) then (Seba...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2179, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 2], [\"...
{"split": "train", "index": 15513}
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, Matthew, Grace, Aurora, Ella, Jackson, Olivia, Luke, and Aiden. Mason asserted: \"(it is not the case that (if Jackson is a knave then Grace i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2180, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 5], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [...
{"split": "train", "index": 15514}
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: Riley, Emma, William, Aurora, Olivia, Chloe, Penelope, Luke, and Sophia. Riley asserted: \"(if (if Luke is a knave then Sophia is a knave) then (Will...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2181, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 7], [\"lying\", 8]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"lying\", 6]]], [\"no...
{"split": "train", "index": 15515}
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, Alexander, Victoria, David, Isabella, Scarlett, Noah, Emma, and Olivia. Evelyn expressed that Isabella is a devil. \"(it is not the case that (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2182, \"statements\": [[\"lying\", 4], [\"and\", [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]]], [\"telling-truth\",...
{"split": "train", "index": 15516}
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, Aria, Harper, Daniel, Ava, William, Elizabeth, Ethan, and Jack. According to Ella, \"((Aria is a villain) if and only if (Daniel is a hero)) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2183, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"<=>\", [\"lying\", 8], [\"ly...
{"split": "train", "index": 15517}
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: Elizabeth, Victoria, Henry, Riley, Ethan, David, Ava, Sophia, and Daniel. \"it is not the case that ((if Riley is a villain then Daniel is a villain)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2184, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 8]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]]]], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\...
{"split": "train", "index": 15518}
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: Zoey, Charlotte, Emma, Alexander, Aiden, Ava, Luke, Samuel, and Amelia. Zoey was heard saying, \"Aiden is a knight\". According to Charlotte, \"((Ame...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2185, \"statements\": [[\"not\", [\"lying\", 4]], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 8]], [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", ...
{"split": "train", "index": 15519}
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: Ethan, Henry, Victoria, Lucas, Grace, Mason, James, Matthew, and Jacob. Ethan told you that if ((Mason is a saint if and only if Ethan is a saint) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2186, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"not\", [\"lying\", 7]]], [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 4], [\"...
{"split": "train", "index": 15520}
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: Henry, Luke, Emma, Logan, Lily, Ethan, David, Benjamin, and Scarlett. Henry noted, \"Scarlett is a sinner if and only if (if (Lily is a sinner if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2187, \"statements\": [[\"<=>\", [\"lying\", 8], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"or\", [\"lying\", 4], [\"or\", [\"->\", [\"telling-truth\", 7...
{"split": "train", "index": 15521}
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: Logan, Joseph, Aiden, Avery, James, Mason, Harper, Ava, and Sofia. \"((if Ava is a sinner then Harper is a sinner) or (Logan is a saint if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2188, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 7], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 15522}
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, Jack, Scarlett, Emma, Sophia, Chloe, Sofia, Aurora, and Penelope. In William's words: \"(it is not the case that (Scarlett is a sinner if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2189, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 1]], [\"not\", [\"lying\", 1]]]], [\"telling-truth\", 5], [\"and\", [\"<=>\"...
{"split": "train", "index": 15523}
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: Chloe, Henry, Evelyn, Sofia, David, Riley, Michael, Ethan, and James. Chloe remarked, \"((Michael is a pioneer and Ethan is a laggard) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2190, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 5]], [\"or\", [\"te...
{"split": "train", "index": 15524}
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: Michael, Zoey, Aiden, Owen, Mia, Ava, Benjamin, Sebastian, and Chloe. Michael was heard saying, \"((Sebastian is an angel and Owen is an angel) and (if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2191, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"->...
{"split": "train", "index": 15525}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ella, Avery, Lucas, Penelope, Sofia, Emily, Ava, William, and Zoey. Ella remarked, \"((Lucas is a pioneer and William is a laggard) or Zoey is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2192, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 7]], [\"lying\", 8]], [\"or\", [\"->\", [\"lying\", 8], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"<=>\", [\...
{"split": "train", "index": 15526}
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, Oliver, Penelope, Sofia, Jack, Emily, Sebastian, Emma, and Benjamin. In a statement by Michael: \"(if (if Sofia is a knight then Oliver is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2193, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 5]]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 7]], [\"not\", [\"telling-tr...
{"split": "train", "index": 15527}
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, Victoria, Noah, Evelyn, Oliver, Grace, Emily, Daniel, and Ella. As Emma put it, \"if (Noah is a devil) then ((Emily is a devil if and only if Eve...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2194, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3]]]], [\"<=>\", [\"or\", [\"<=>\", [\"tellin...
{"split": "train", "index": 15528}
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: Lily, James, Olivia, Mason, Sofia, Logan, Victoria, Chloe, and William. As Lily put it, \"William is a knight\". James was heard saying, \"it is not ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2195, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 6]]]], [\"->\", [\"and\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", ...
{"split": "train", "index": 15529}
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: Chloe, Riley, Zoey, William, Isabella, Daniel, Avery, Logan, and Grace. Chloe said, \"Logan is an egoist.\" Riley said that if ((if Isabella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2196, \"statements\": [[\"lying\", 7], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"or\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 4...
{"split": "train", "index": 15530}
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: Emily, Jacob, Victoria, Mia, Abigail, Sebastian, Jack, Evelyn, and Michael. Emily said, \"Victoria is a sinner.\" Jacob said that Abigail is a sinner...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2197, \"statements\": [[\"lying\", 2], [\"or\", [\"lying\", 4], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 6], [\"lying\", 0]]]], [\"lying\", 8], [\"->\", [\"<=>\", [\"and\", [\"telling-tr...
{"split": "train", "index": 15531}
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: Aiden, Evelyn, Logan, Henry, Abigail, Isabella, Samuel, Michael, and Avery. \"(it is not the case that (if Logan is an altruist then Isabella i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2198, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"or\", [\"lying\", 6], [\"and\", [\"telling-truth\", 2], [\"lying\", 7]]]], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 4], ...
{"split": "train", "index": 15532}
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, Henry, Michael, Mason, David, Elizabeth, Noah, Logan, and Mia. Lucas commented, \"((Mia is a knave and Elizabeth is a knight) and (Mia is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2199, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 8], [\"lying\", 5]]], [\"->\", [\"or\", [\"lying\", 7], [\"lying\", 8]], [\"lying\", 4]]], [\"and\", [\"tellin...
{"split": "train", "index": 15533}
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, Zoey, Scarlett, Penelope, Harper, Abigail, Chloe, James, and Amelia. Lily remarked, \"it is not the case that ((Amelia is an altruist) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2200, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1]]]], [\"telling-truth\", 3], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 6]]], ...
{"split": "train", "index": 15534}
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: Aiden, Logan, Daniel, Sofia, Emma, Mason, Amelia, Mia, and Ethan. Aiden stated, \"it is not the case that (Ethan is an altruist and (Mason is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2201, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 8], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]]]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<...
{"split": "train", "index": 15535}
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, Isabella, Jacob, Mason, Emma, Henry, Liam, James, and Mia. Riley said, \"(if (Mia is a sage or Liam is a sage) then (Jacob is a fool or Riley is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2202, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"or\", [\"ly...
{"split": "train", "index": 15536}
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, Aiden, Liam, Ella, Jacob, Sofia, Lily, James, and Joseph. Sophia said that Joseph is a knave. Aiden noted, \"Lily is a knight\". \"if James i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2203, \"statements\": [[\"lying\", 8], [\"telling-truth\", 6], [\"->\", [\"lying\", 7], [\"<=>\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]]]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 7...
{"split": "train", "index": 15537}
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, Ava, Harper, Charlotte, Owen, Sebastian, Ethan, James, and Isabella. In a statement by Lily: \"it is not the case that ((Harper is a saint if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2204, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"not\"...
{"split": "train", "index": 15538}
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: Chloe, Jackson, Logan, Aurora, Samuel, Emma, Isabella, Sebastian, and Charlotte. In Chloe's words: \"Aurora is an egoist\". \"it is not the cas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2205, \"statements\": [[\"lying\", 3], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 7]]]], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"ly...
{"split": "train", "index": 15539}
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, Harper, Emily, Alexander, Matthew, Ella, William, Zoey, and Jack. \"((Emily is a laggard) or (Oliver is a pioneer and Harper is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2206, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 7]], [\"->\", [\"telling-truth\",...
{"split": "train", "index": 15540}
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: Joseph, Harper, Lucas, Ava, Benjamin, Henry, Owen, Charlotte, and Sofia. \"it is not the case that ((Henry is an angel) and Harper is an angel),\" Jose...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2207, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 6], [\"telling-truth...
{"split": "train", "index": 15541}
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: Harper, James, Luke, Logan, Evelyn, Sebastian, Ava, Emma, and Riley. Harper was heard saying, \"(it is not the case that (Evelyn is an angel if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2208, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\...
{"split": "train", "index": 15542}
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: William, Benjamin, David, Penelope, Lily, Alexander, Sofia, Liam, and Samuel. \"(David is a knave) and ((David is a knight or Liam is a knave) or Sam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2209, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 7]], [\"telling-truth\", 8]]], [\"or\", [\"telling-truth\", 5], [\"<=>\", [\"or\", [\"lying\", 6], [\"ly...
{"split": "train", "index": 15543}
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, Scarlett, Aria, Lucas, Aurora, Matthew, Jacob, Mia, and Amelia. Owen expressed that Jacob is a knave. \"((if Amelia is a knight then Lucas is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2210, \"statements\": [[\"lying\", 6], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 3]], [\"and\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 7], [\"or\", [\"telling-truth\", 2], [\"lyin...
{"split": "train", "index": 15544}
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: Lily, Joseph, Olivia, Jacob, Jack, Riley, Elizabeth, James, and Penelope. \"((if Jacob is a knight then Elizabeth is a knave) or (Olivia is a knave))...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2211, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 6]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"not\", [\"telling-truth\", 8]], [...
{"split": "train", "index": 15545}
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: Aiden, William, Logan, Henry, Joseph, David, Lily, Emily, and Aria. As Aiden put it, \"(if (if Lily is a villain then Henry is a villain) then (Willi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2212, \"statements\": [[\"or\", [\"->\", [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 8]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 6], [\"lyin...
{"split": "train", "index": 15546}
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: Olivia, Daniel, Luke, Victoria, Grace, Liam, Samuel, Sofia, and Aiden. Olivia was heard saying, \"((Samuel is a hero or Aiden is a villain) and (Grac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2213, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 8]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]], [\"and\", [\"telling...
{"split": "train", "index": 15547}
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, Aiden, Emma, Victoria, Liam, Sofia, Mason, Elizabeth, and Harper. \"Emma is an egoist,\" Mia claimed. Aiden told you that Mia is an altrui...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2214, \"statements\": [[\"lying\", 2], [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"lying\", 4], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 5]], [\"not\", [\"tel...
{"split": "train", "index": 15548}
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, Penelope, Liam, William, James, Evelyn, Logan, Sebastian, and Lucas. As Samuel put it, \"it is not the case that (James is a hero and (Evelyn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2215, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4]]]], [\"->\", [\"lying\", 5], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-t...
{"split": "train", "index": 15549}
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, Noah, Zoey, Abigail, Penelope, Alexander, Lily, Liam, and Avery. \"it is not the case that ((Noah is an angel or Liam is a devil) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2216, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 7]], [\"or\", [\"telling-truth\", 4], [\"lying\", 8]]]], [\"or\", [\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 7]], [\"->\", [\"...
{"split": "train", "index": 15550}
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, Owen, Sophia, Elizabeth, Aiden, Jacob, Jack, Emily, and Mia. Riley was heard saying, \"Sophia is a pioneer\". Owen was heard saying, \"i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2217, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"telling-truth\", 1], [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 2]], [\"lying\", 6]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"and\", [\"lying\", 6], [\"telli...
{"split": "train", "index": 15551}
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: Scarlett, Noah, Riley, Liam, Logan, Ethan, Harper, Elizabeth, and David. Scarlett asserted: \"((Scarlett is a knight if and only if Liam is a knight)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2218, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"->\", [\"not\", [\"lying\", 7]], [\"telling-truth\", 5]]], [\"n...
{"split": "train", "index": 15552}
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, Emily, Lily, Amelia, Henry, Sophia, Matthew, Luke, and Olivia. Sofia stated, \"(it is not the case that (Matthew is a knight and Amelia is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2219, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 6], [\"lying\", 5]]]], [\"or\", [\"not\", [\"or\", [\"lying\", 4], [\...
{"split": "train", "index": 15553}
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: James, Daniel, Sophia, Aiden, Logan, Owen, Benjamin, Henry, and Michael. According to James, \"Aiden is an altruist\". Daniel remarked, \"it is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2220, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]], [\"->\", [\"lying\", 5], [\"lying\", 4]]]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\",...
{"split": "train", "index": 15554}
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: Elizabeth, Charlotte, Avery, Samuel, Benjamin, Jackson, Jacob, Olivia, and Owen. Elizabeth was heard saying, \"(it is not the case that (Jackson is a sage ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2221, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 1]]]], [\"->\", [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"telli...
{"split": "train", "index": 15555}
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: Luke, Victoria, Harper, Noah, William, Jackson, Ethan, Logan, and Daniel. Luke said that if (Daniel is a knave) then (it is not the case that (Noah i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 0, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"telling-truth\", 7], [\"<=>\", [\"or\", [\"->\", [\"lying\", 0], [\"telli...
{"split": "train", "index": 15556}
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: Logan, Owen, Sophia, Evelyn, Jackson, Emma, Ethan, Lucas, and Joseph. Logan said, \"Lucas is a laggard.\" According to Owen, \"((Joseph is a la...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1, \"statements\": [[\"lying\", 7], [\"or\", [\"<=>\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth...
{"split": "train", "index": 15557}
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, Scarlett, Abigail, Joseph, Jackson, Lily, Aiden, William, and Liam. \"Aiden is an egoist,\" Logan claimed. Scarlett remarked, \"((Abigai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2, \"statements\": [[\"lying\", 6], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"...
{"split": "train", "index": 15558}
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: Logan, David, Ethan, Jackson, Lucas, Charlotte, Isabella, Alexander, and Mason. In a statement by Logan: \"Isabella is a sage\". According to David, \"if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 3, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]], [\"or\", [\"lying\", 6], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\"...
{"split": "train", "index": 15559}
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: Aurora, Scarlett, Oliver, Alexander, Chloe, William, Emma, Evelyn, and Jackson. Aurora said that Oliver is a laggard. Scarlett was heard saying...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 4, \"statements\": [[\"lying\", 2], [\"<=>\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"not\", [\"telling-truth\", 7]]]], [\"not\", [\"<=>\", [\"not\", [\"telling...
{"split": "train", "index": 15560}
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, Ethan, Lily, Logan, Grace, Chloe, Olivia, Riley, and Isabella. Zoey commented, \"((Isabella is an egoist or Chloe is an egoist or Logan i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 5, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 5], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"lying\", 3]], [\"not\", [\"telling-truth\", 7]], [\"or\", [\"not\",...
{"split": "train", "index": 15561}
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, Henry, Olivia, Lily, Mason, Penelope, Ethan, Aurora, and Sofia. In Alexander's words: \"((Aurora is a knight) if and only if (Ethan is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 6, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 7]], [\"and\", [\"lying\", 6], [\"lying\", 5], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"and\...
{"split": "train", "index": 15562}
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: Mia, Chloe, Olivia, Sophia, Daniel, Amelia, Henry, Evelyn, and Grace. In a statement by Mia: \"((if Mia is a pioneer then Sophia is a laggard) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 7, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 6]], [\...
{"split": "train", "index": 15563}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lucas, William, Elizabeth, Matthew, Olivia, Harper, David, Chloe, and Mason. Lucas noted, \"(Elizabeth is an egoist and (Chloe is an altruist))...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 8, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"not\", [\"lying\", 7]]], [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 2], [\"telling-truth\", 5]], [\"and\", [\"lying\", 4], [\"lying\", 8], [\"lying\", 2]], [\"<=>\...
{"split": "train", "index": 15564}
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: Joseph, Olivia, William, Logan, Sophia, Avery, Mia, Benjamin, and Ella. In Joseph's words: \"((Logan is an altruist or William is an egoist or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 9, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 7]], [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"->\", [\"and\", [\"lying\", 8], ...
{"split": "train", "index": 15565}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Noah, Charlotte, William, James, Scarlett, Michael, Aria, Elizabeth, and Isabella. Noah told you that ((Aria is an altruist and James is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 10, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 8]], [\"or\", [\"lying\", 5], [\"lying\", 1], [\"telling-truth\", ...
{"split": "train", "index": 15566}
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: Owen, Emma, Ethan, Aurora, Victoria, Daniel, Zoey, Alexander, and Chloe. Owen said, \"((Aurora is a fool or Emma is a sage or Zoey is a sage) and (Chloe is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 11, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"and\", [\"lying\", 8], [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling...
{"split": "train", "index": 15567}
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, Michael, David, Olivia, Zoey, Oliver, Aiden, Logan, and Mason. As Aria put it, \"Mason is an egoist\". In Michael's words: \"(if (Olivia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 12, \"statements\": [[\"lying\", 8], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 6]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"lying\", 0], [\...
{"split": "train", "index": 15568}
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: Owen, Michael, Avery, Luke, Jacob, Penelope, Evelyn, Jackson, and Aria. In Owen's words: \"Evelyn is a saint\". Michael was heard saying, \"(Jacob is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 13, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"or\", [\"telling-truth\", 4], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"->...
{"split": "train", "index": 15569}
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: Zoey, Avery, Isabella, James, William, Logan, Owen, Abigail, and Luke. \"(if (Avery is a sage if and only if James is a fool) then (Luke is a fool or Logan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 14, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 8], [\"lying\", 5], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 7], [\"lying\...
{"split": "train", "index": 15570}
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, Sebastian, Noah, Elizabeth, Grace, Henry, Mia, Emily, and Lucas. Ella told you that ((if Grace is a hero then Grace is a villain) and (Sebastia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 15, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"not\", [\"<=>\", [\"lying\", 6]...
{"split": "train", "index": 15571}
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, Grace, Victoria, Jacob, Aria, Chloe, Isabella, Samuel, and Aurora. Alexander remarked, \"Chloe is a fool\". Grace commented, \"((Chloe is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 16, \"statements\": [[\"lying\", 5], [\"or\", [\"or\", [\"not\", [\"lying\", 5]], [\"or\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-t...
{"split": "train", "index": 15572}
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: Aiden, Sofia, Avery, Zoey, Evelyn, Aurora, Oliver, William, and Abigail. As Aiden put it, \"((Sofia is a knight if and only if Aurora is a knave) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 17, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]], [\"not\", [\"lying\", 7]]], [\"->\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"<=>\", [\"<=>\", ...
{"split": "train", "index": 15573}
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: Amelia, David, Michael, Ethan, Oliver, Logan, Noah, Benjamin, and Jackson. Amelia remarked, \"it is not the case that (if (Oliver is a fool or Michael is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 18, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 5], [\"telling-truth\", 5]]]], [\"or\", [\"telling-truth\", 7], [\"and\", [\"<=>\", [\"tell...
{"split": "train", "index": 15574}
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, Daniel, Mason, Avery, Harper, Penelope, Evelyn, Ella, and Henry. Aiden was heard saying, \"(it is not the case that (Evelyn is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 19, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 6]]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"and\", [\"lying\", 5], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"and\", ...
{"split": "train", "index": 15575}
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: Aiden, Daniel, Sofia, Oliver, Jack, Avery, Ethan, Sebastian, and Isabella. Aiden noted, \"(it is not the case that (Isabella is a villain)) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 20, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"lying\", 5]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 8]]]], [\"n...
{"split": "train", "index": 15576}
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: Matthew, Lucas, Grace, Emma, Olivia, Lily, Emily, Ella, and Luke. In Matthew's words: \"(Ella is a knight) and (if (Grace is a knight and Lucas is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 21, \"statements\": [[\"and\", [\"not\", [\"lying\", 7]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 8]]], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"l...
{"split": "train", "index": 15577}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Michael, Ava, Sebastian, Daniel, Elizabeth, Amelia, Victoria, Penelope, and Luke. Michael stated, \"if ((Ava is an egoist if and only if Elizab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 22, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8], [\"lying\", 1]], [\"not\", [\"lyi...
{"split": "train", "index": 15578}
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: Emma, Penelope, Grace, Henry, Elizabeth, Isabella, Noah, Avery, and Samuel. Emma remarked, \"Henry is a villain and ((if Emma is a hero then Samuel i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 23, \"statements\": [[\"and\", [\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"<=>\"...
{"split": "train", "index": 15579}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Benjamin, Olivia, William, Aiden, Matthew, Noah, Chloe, Daniel, and Riley. Benjamin said that if ((Noah is a fool or Matthew is a sage or Benjamin is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 24, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\...
{"split": "train", "index": 15580}
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, Scarlett, Zoey, Sophia, Alexander, James, Victoria, Ethan, and Matthew. \"James is an angel and Scarlett is an angel and ((if Matthew is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 25, \"statements\": [[\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1], [\"or\", [\"->\", [\"lying\", 8], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"->\", [\"lying\", 8], [\"telling-tr...
{"split": "train", "index": 15581}
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: Logan, Jack, Ella, Avery, Charlotte, Samuel, David, Matthew, and William. Logan was heard saying, \"it is not the case that (it is not the case that (if Sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 26, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 8]]]], [\"or\", [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"or\", [\"telling-truth\", 5], [\"...
{"split": "train", "index": 15582}
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, Aiden, Lucas, Samuel, William, Logan, Jack, Liam, and Scarlett. \"((Logan is a sinner and William is a saint) and Liam is a saint) if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 27, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4]], [\"telling-truth\", 7]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"<=>\"...
{"split": "train", "index": 15583}
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: Grace, Mason, David, Riley, Lily, Victoria, Mia, Zoey, and Emma. In a statement by Grace: \"if ((if Mia is a sinner then Lily is a sinner) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 28, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 5], [\...
{"split": "train", "index": 15584}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: David, Sofia, Riley, Henry, Oliver, Lucas, Isabella, Olivia, and Harper. \"Harper is a fool,\" David mentioned. \"((Olivia is a sage) and (Riley is a sage ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 29, \"statements\": [[\"lying\", 8], [\"or\", [\"and\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]], [\"lying\", 0]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 7]], [\"not\", [\"tel...
{"split": "train", "index": 15585}
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, Evelyn, Alexander, Elizabeth, Ava, Benjamin, Penelope, James, and Sofia. According to Matthew, \"(if (Evelyn is an altruist) then Jame...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 30, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 1]], [\"lying\", 7]], [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 7], [\"t...
{"split": "train", "index": 15586}
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: Luke, Elizabeth, Oliver, Logan, Ella, Lucas, Chloe, Michael, and Harper. As Luke put it, \"if ((Lucas is a knave or Luke is a knight) and (if Harper ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 31, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 8], [\"lying\", 2]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\...
{"split": "train", "index": 15587}
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: Henry, Harper, Oliver, Sebastian, Jack, Matthew, Evelyn, Emma, and Jacob. \"it is not the case that ((Oliver is a sinner and Emma is a saint and Seba...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 32, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 7], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 7], [\"telling-truth\", 6]]]], [\"or\", [\"and\", [\"<=>\", [\"telling-t...
{"split": "train", "index": 15588}
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: Mason, Owen, Sophia, Aurora, Charlotte, Zoey, Oliver, Michael, and Amelia. Mason expressed that Oliver is a laggard. Owen noted, \"if (it is no...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 33, \"statements\": [[\"lying\", 6], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 7], [\"telling-truth\", 2]]]],...
{"split": "train", "index": 15589}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Olivia, Sofia, Lucas, Aurora, Aiden, Riley, Samuel, Benjamin, and Avery. Olivia noted, \"if (if (Riley is an egoist and Olivia is an altruist) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 34, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"telling-truth\", 4]], [\"lying\", 7], [\"and\", [\"not\", [\"and\", [\"lying\", 4]...
{"split": "train", "index": 15590}
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, Oliver, Jackson, Mia, Ava, Sofia, Sebastian, Harper, and Henry. In Victoria's words: \"Jackson is a saint\". \"Sofia is a saint,\" Oliver c...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 35, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 5], [\"not\", [\"not\", [\"lying\", 6]]], [\"<=>\", [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 8]], [\"telling-truth\", 6]], [\"or\", [\"or\", [\"telling-trut...
{"split": "train", "index": 15591}
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, Isabella, Abigail, Michael, Evelyn, Samuel, Emily, Olivia, and Amelia. Scarlett said that ((Olivia is a saint) or (if Abigail is a saint th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 36, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"tell...
{"split": "train", "index": 15592}
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, Samuel, Emma, James, Sofia, Luke, Jack, Henry, and Jacob. Aria expressed that it is not the case that (it is not the case that (Luke is a devil o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 37, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"->\", [\"lying\", 6], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"lyi...
{"split": "train", "index": 15593}
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: William, Mia, Lily, Jackson, Scarlett, Penelope, Jack, Ava, and Chloe. According to William, \"(Jack is a knave) and (it is not the case that (Ava is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 38, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"and\", [\"lying\", 7], [\"lying\", 5]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"lying\", 8]], [\"<=>\",...
{"split": "train", "index": 15594}
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, Aiden, Charlotte, Evelyn, Matthew, Ava, Victoria, Daniel, and Amelia. Lucas said, \"((Victoria is a knight and Aiden is a knight) and Amelia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 39, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"telling-truth\", 8]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 6]], [\"telling-truth\", 3]], [\"<=>\", [\"not...
{"split": "train", "index": 15595}
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, Evelyn, Joseph, Emily, Aurora, Benjamin, Sophia, Riley, and Olivia. Harper said, \"if ((if Evelyn is an altruist then Emily is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 40, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 2], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"or\"...
{"split": "train", "index": 15596}
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: Victoria, Penelope, Aria, Ava, Grace, Avery, William, Chloe, and Ethan. Victoria said that Aria is a sage. As Penelope put it, \"((Victoria is a fool and A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 41, \"statements\": [[\"not\", [\"lying\", 2]], [\"or\", [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 5]], [\"->\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"<=>\", [\"telling-truth\", 8], [\"not\", [\"lying\", 2]]], [\"...
{"split": "train", "index": 15597}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Avery, Luke, Jacob, Ava, Michael, Samuel, Emma, Scarlett, and Alexander. Avery said that ((Jacob is a sinner) and (Scarlett is a sinner and Luke is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 42, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 7], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 8], [\"<=>\", [\"not\", [\"t...
{"split": "train", "index": 15598}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Luke, Jacob, Emily, Sebastian, Alexander, Penelope, Sophia, Ella, and Mia. \"(it is not the case that (Emily is a pioneer if and only if Ella i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 43, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 6], [\"lying\", 7]]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"and\", ...
{"split": "train", "index": 15599}