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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, Emma, Olivia, Mason, Amelia, Scarlett, James, Owen, and Aria. Avery noted, \"((Scarlett is a saint) or Emma is a sinner or Amelia is a sinner ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 422, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 5]], [\"lying\", 1], [\"lying\", 4], [\"and\", [\"lying\", 2], [\"lying\", 7]]], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 5]], [\"<=>\", [\"telling-tru...
{"split": "train", "index": 18200}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Harper, Oliver, Chloe, Sofia, Amelia, James, Michael, Liam, and Avery. In Harper's words: \"((Harper is a knave) and (if Avery is a knave then Liam i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 423, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 8], [\"lying\", 7]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6], [\"telling-truth\", 3], [\"telling-truth\", 0]], ...
{"split": "train", "index": 18201}
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, Jacob, Amelia, Lucas, Aria, Penelope, Owen, Oliver, and Evelyn. \"it is not the case that ((Evelyn is a laggard or Oliver is a pioneer ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 424, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 7], [\"lying\", 4], [\"telling-truth\", 5]], [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-trut...
{"split": "train", "index": 18202}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Amelia, Zoey, Lucas, Abigail, Chloe, Samuel, Alexander, Grace, and Liam. In a statement by Amelia: \"Lucas is an altruist\". As Zoey put it, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 425, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 5], [\"lying\", 6]], [\"and\", [\"lying\", 0], [\"tel...
{"split": "train", "index": 18203}
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: Charlotte, Mason, Scarlett, Logan, Harper, Evelyn, Ella, Penelope, and Olivia. Charlotte expressed that (if (Penelope is a knight and Harper is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 426, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"telling-truth\", 5]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 7],...
{"split": "train", "index": 18204}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ella, Owen, Aria, Elizabeth, Evelyn, Aiden, Lily, Amelia, and Daniel. \"it is not the case that (it is not the case that (Evelyn is a devil and Amelia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 427, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 7]]]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 4]], [\"telling-truth\", 5]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"...
{"split": "train", "index": 18205}
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, Mia, Harper, Aurora, Logan, Ava, Elizabeth, William, and Jacob. As Oliver put it, \"((Aurora is a laggard) or (Mia is a pioneer or Will...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 428, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"telling-truth\", 0]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 5], [\"telling-truth...
{"split": "train", "index": 18206}
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, Sofia, Chloe, Mason, Scarlett, Mia, Aiden, Samuel, and Ella. \"Ella is a fool,\" Amelia declared. According to Sofia, \"(if (Amelia is a fool and S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 429, \"statements\": [[\"lying\", 8], [\"<=>\", [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 7], [\"lying\", 2]], [\"->\", [\"lying\", 7], [\"lying\", 5]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]],...
{"split": "train", "index": 18207}
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, Zoey, Lucas, Avery, Luke, Daniel, Noah, Jack, and Harper. \"(Avery is a villain if and only if (Avery is a villain)) and Harper is a hero,\" ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 430, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 8]], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"telling-truth\", 1]]], [\...
{"split": "train", "index": 18208}
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, Daniel, Aria, Isabella, Joseph, Jackson, Chloe, Amelia, and Jacob. Sebastian remarked, \"it is not the case that ((Amelia is a sage) or (if Aria...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 431, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 7]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 8]], [\"->\", [\"telling-truth\", 4], [\"lying\", 8]]]], [\"<=>\", [\"<=>\", [\"and\",...
{"split": "train", "index": 18209}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sophia, Isabella, Grace, Penelope, Lucas, Sebastian, Emma, William, and Emily. Sophia said that ((Emma is a hero) and Lucas is a hero and (if Emma is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 432, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 6]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 6], [\"lying\", 3]], [\"lying\", 4]], [\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6]...
{"split": "train", "index": 18210}
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: Joseph, Avery, Ava, Scarlett, James, Michael, Sofia, Ella, and Olivia. \"Olivia is a fool\" - Joseph. \"((Michael is a fool) or (if Ava is a fool then Aver...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 433, \"statements\": [[\"lying\", 8], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 7], [\"lying\", 4]]], [\"and\", [\"and...
{"split": "train", "index": 18211}
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, Scarlett, Grace, Elizabeth, Jacob, Oliver, Liam, Chloe, and Samuel. Avery remarked, \"if ((Jacob is a sinner) or (Oliver is a saint or Samuel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 434, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 5], [\"lying\", 8], [\"lying\", 7], [\"lying\", 2]], [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 7], [\"lying\",...
{"split": "train", "index": 18212}
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: Luke, Aiden, Sofia, Owen, Victoria, William, Avery, Harper, and Henry. Luke said that ((Owen is a villain or Victoria is a villain or Henry is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 435, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"<=>\", [\"or\"...
{"split": "train", "index": 18213}
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: Noah, Olivia, Jackson, David, Avery, Evelyn, James, Victoria, and Mia. In Noah's words: \"it is not the case that ((Mia is an angel and James is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 436, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 6]], [\"and\", [\"lying\", 5], [\"telling-truth\", 3], [\"telling-truth\", 6]]]], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 7]], [...
{"split": "train", "index": 18214}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jack, Avery, Elizabeth, Owen, Noah, Lucas, Evelyn, Harper, and Aurora. In Jack's words: \"if ((Evelyn is a sage if and only if Noah is a sage) if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 437, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"->\", [\"lying\", 1], [\"and\", [\"telling-truth\", 5], [\"lying\", 5]]]...
{"split": "train", "index": 18215}
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, David, Riley, Logan, Chloe, Harper, James, Evelyn, and Ethan. \"Evelyn is a sinner or David is a saint or Riley is a sinner\" - Owen. David ass...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 438, \"statements\": [[\"or\", [\"lying\", 7], [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 8], [\"->\", [\"lying\", 8], [\"tellin...
{"split": "train", "index": 18216}
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: Scarlett, Riley, Avery, Alexander, Olivia, Sofia, Oliver, Mia, and Evelyn. Scarlett said, \"Oliver is an altruist.\" Riley commented, \"((Mia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 439, \"statements\": [[\"telling-truth\", 6], [\"or\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 8], [\"telling-truth\", 0], [\"lying\", 6]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"telling-truth\", 1], [\...
{"split": "train", "index": 18217}
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, Jacob, Riley, Evelyn, Samuel, Noah, Ella, Aria, and Alexander. Olivia stated, \"if ((if Jacob is an egoist then Riley is an altruist) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 440, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 8], [\"lying\", 6]], [\"or\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"lying\"...
{"split": "train", "index": 18218}
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, Sebastian, Isabella, Michael, Ella, Riley, Joseph, Sophia, and Zoey. Emma noted, \"it is not the case that ((Sebastian is a saint) or (if Riley...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 441, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"lying\", 1]]], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\"...
{"split": "train", "index": 18219}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sebastian, Scarlett, Luke, David, Charlotte, Harper, Emily, Mason, and Michael. In a statement by Sebastian: \"it is not the case that (Emily is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 442, \"statements\": [[\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"not\", [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 6]], [...
{"split": "train", "index": 18220}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emma, Victoria, Olivia, Ethan, Mason, Riley, Evelyn, Aria, and Amelia. As Emma put it, \"(Mason is a sage) and ((Victoria is a sage) if and only if (if Ame...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 443, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]]]], [\"or\",...
{"split": "train", "index": 18221}
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, Sophia, Emily, Sofia, Lily, Daniel, Isabella, Luke, and Liam. According to Evelyn, \"(it is not the case that (Sofia is an egoist if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 444, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]]], [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"o...
{"split": "train", "index": 18222}
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, James, David, Joseph, Benjamin, Ella, Charlotte, Oliver, and Elizabeth. Aurora said, \"it is not the case that (it is not the case that...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 445, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 7]], [\"->\", [\"lying\", 5], [\"lying\", 7...
{"split": "train", "index": 18223}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: David, Logan, Charlotte, Benjamin, Evelyn, Emily, Alexander, Sebastian, and Ava. David told you that (it is not the case that (if Logan is a knight t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 446, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 3], [\"and\", [\"lying\", 5], [\"lying\", 4], [\"lying\", 6], [\"telling-truth\", 4]], [\"->\",...
{"split": "train", "index": 18224}
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, Benjamin, Liam, Sofia, Noah, Harper, David, Samuel, and Aria. Lucas commented, \"(if (Aria is an egoist and Noah is an altruist and Samu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 447, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 4], [\"lying\", 7], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 5], [...
{"split": "train", "index": 18225}
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: Liam, David, Daniel, Ava, Jacob, Scarlett, William, Ethan, and Zoey. Liam expressed that (it is not the case that (Scarlett is a knave)) and (if Davi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 448, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"and\", [\"not\", [\"lying\", 7]], [\"telling-truth\", 0], [\"...
{"split": "train", "index": 18226}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Riley, Sofia, Aurora, Abigail, Jack, Noah, Daniel, Logan, and Henry. Riley expressed that Logan is an angel. Sofia commented, \"(Daniel is a devil or (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 449, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"or\", [\"lying\", 6], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"lying\", 7], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 6], [\"telling-t...
{"split": "train", "index": 18227}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Benjamin, Luke, Michael, Samuel, Mason, Alexander, Lucas, Olivia, and Henry. Benjamin asserted: \"((Benjamin is a hero if and only if Luke is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 450, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 5]]], [\"lying\", 5]], [\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 8], [\"telling-truth\", ...
{"split": "train", "index": 18228}
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, Mia, Evelyn, Michael, Samuel, Noah, Ethan, Elizabeth, and Jacob. Harper said that ((if Samuel is an egoist then Mia is an altruist) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 451, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"not\", [\"tel...
{"split": "train", "index": 18229}
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: Sophia, Evelyn, Olivia, Charlotte, Sofia, Samuel, Jacob, Lucas, and Lily. Sophia noted, \"it is not the case that (it is not the case that (Evelyn is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 452, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 5], [\"telling-truth\", 7]]]], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"and\", [\"lying\", 0], [\"l...
{"split": "train", "index": 18230}
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: Jackson, Victoria, Joseph, Luke, Chloe, Grace, Isabella, Logan, and David. Jackson told you that (it is not the case that (Isabella is a sage or Luke is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 453, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 3], [\"telling-truth\", 8]]], [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 7], [\"telli...
{"split": "train", "index": 18231}
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: Scarlett, Owen, Aria, Mason, Logan, Sebastian, Mia, Penelope, and David. Scarlett noted, \"(if (if Owen is a laggard then Mason is a pioneer) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 454, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 5], [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth...
{"split": "train", "index": 18232}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Mia, Isabella, Elizabeth, Jackson, Victoria, Abigail, Sebastian, Michael, and Emily. Mia was heard saying, \"((Emily is a fool if and only if Isabella is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 455, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 1]], [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 1], [\"telling-truth\", 0], [\"lying\",...
{"split": "train", "index": 18233}
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, Michael, Avery, Liam, Grace, Daniel, James, Mia, and Samuel. Zoey noted, \"Michael is an altruist\". As Michael put it, \"Liam is an egoi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 456, \"statements\": [[\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"lying\", 1], [\"telling-t...
{"split": "train", "index": 18234}
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: Elizabeth, Lily, Sebastian, Michael, Victoria, Sofia, Logan, Grace, and Joseph. Elizabeth said, \"Joseph is a saint.\" In Lily's words: \"((Grace is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 457, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"not\", [\"and\", [\"telling-trut...
{"split": "train", "index": 18235}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jacob, Luke, Zoey, Penelope, Mia, Liam, Owen, Scarlett, and Mason. Jacob told you that it is not the case that (Owen is a villain and (if Owen is a v...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 458, \"statements\": [[\"not\", [\"and\", [\"lying\", 6], [\"->\", [\"lying\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 4]]], [\"telling-truth\", 7], [\"telling-truth\", 6], [...
{"split": "train", "index": 18236}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Alexander, Logan, Mason, Luke, Evelyn, Sebastian, Charlotte, Isabella, and James. \"((Luke is a sinner or Charlotte is a saint) and (James is a sinne...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 459, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1], [\"lying\", 4], [\"lying\"...
{"split": "train", "index": 18237}
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, Daniel, Mason, Logan, Aria, Scarlett, Ella, James, and Elizabeth. Avery was heard saying, \"Ella is an egoist or (it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 460, \"statements\": [[\"or\", [\"lying\", 6], [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 8], [\"telling-truth\", 7]]]], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]]]], [\"lying\", 6], [\"te...
{"split": "train", "index": 18238}
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: Scarlett, Oliver, Ava, Noah, David, Olivia, Avery, Riley, and Grace. Scarlett expressed that (it is not the case that (if Grace is an altruist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 461, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 7]]]], [\"telling-truth\", 5...
{"split": "train", "index": 18239}
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, Samuel, Chloe, David, Zoey, Sofia, Daniel, Luke, and Grace. In Emily's words: \"(it is not the case that (Daniel is a sinner or Sofia is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 462, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 5], [\"lying\", 8], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", 7], [\"lying\", 6]]], [\"telling-truth\", 6]], [\"telling-tru...
{"split": "train", "index": 18240}
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: Daniel, Emma, Benjamin, Luke, Harper, Aria, Lucas, Penelope, and David. Daniel commented, \"if (it is not the case that (Benjamin is a knight or Pene...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 463, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 5], [\"lying\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 5], [\"lying...
{"split": "train", "index": 18241}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sofia, Daniel, Victoria, Zoey, Lily, Emily, Benjamin, Jackson, and Scarlett. Sofia stated, \"((if Jackson is a sage then Daniel is a sage) or Jackson is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 464, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"lying\", 7]], [\"not\", [\"lying\", 5]]], [\"lying\", 0], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8...
{"split": "train", "index": 18242}
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: Sebastian, Avery, Matthew, Michael, Harper, Riley, Evelyn, Noah, and Emily. \"Evelyn is a devil,\" Sebastian claimed. Avery commented, \"if Michael is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 465, \"statements\": [[\"not\", [\"telling-truth\", 6]], [\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 1], [\"telling-truth\", 8], [\"lying\", 1], [\"->\", [\"<=>\", [\"lying\", 7], [\"and\",...
{"split": "train", "index": 18243}
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: Ella, James, Aiden, William, Joseph, Ava, Olivia, Mia, and Abigail. As Ella put it, \"Abigail is a fool\". James asserted: \"if (Aiden is a fool or (Olivia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 466, \"statements\": [[\"lying\", 8], [\"->\", [\"or\", [\"lying\", 2], [\"<=>\", [\"lying\", 6], [\"lying\", 5]], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6], [\"lying\", 4]]], ...
{"split": "train", "index": 18244}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Mia, Abigail, Sofia, Olivia, Isabella, Ethan, James, Luke, and Lucas. Mia remarked, \"Sofia is a saint or ((Lucas is a saint) if and only if Isabella...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 467, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"<=>\", [\"not\", [\"lying\", 8]], [\"telling-truth\", 4]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 5]], [\"and\", [\"telling-truth\", 0], [\"telling-trut...
{"split": "train", "index": 18245}
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: Isabella, Sophia, Amelia, Matthew, Jack, Riley, Aiden, Sofia, and Henry. Isabella expressed that Jack is a sage if and only if ((if Amelia is a fool then M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 468, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"...
{"split": "train", "index": 18246}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ava, Elizabeth, David, Ella, Mason, William, Lucas, Luke, and Zoey. Ava expressed that (it is not the case that (Lucas is a saint)) if and only if ((...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 469, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 6]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 7], [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 7]]]], [\"telling...
{"split": "train", "index": 18247}
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: Amelia, Joseph, Noah, Lucas, Benjamin, Jacob, Victoria, Oliver, and Mason. Amelia said, \"((if Victoria is a devil then Benjamin is a devil) or (Benjam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 470, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]], [\"->\", [\"lying\", 8], [\"telling-truth\", 3]]...
{"split": "train", "index": 18248}
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: Liam, Ella, Ethan, Logan, Owen, Scarlett, Alexander, Noah, and Abigail. Liam remarked, \"if Logan is a knight then (if (Logan is a knight) then (Loga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 471, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 5]]]], [\"telling-truth\", 2], [\"...
{"split": "train", "index": 18249}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ava, Oliver, Amelia, Samuel, Chloe, Avery, Isabella, Mason, and Aria. In Ava's words: \"it is not the case that ((if Mason is a sage then Avery is a sage) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 472, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 7]]]], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [...
{"split": "train", "index": 18250}
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: Henry, Emma, Grace, Penelope, Elizabeth, Chloe, Charlotte, Mia, and Lily. \"if ((if Henry is an altruist then Mia is an altruist) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 473, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telli...
{"split": "train", "index": 18251}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ava, Jackson, Elizabeth, Michael, Olivia, Grace, Samuel, Harper, and Sebastian. According to Ava, \"((Samuel is a sage or Michael is a fool or Sebastian is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 474, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 3], [\"lying\", 8]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 5], ...
{"split": "train", "index": 18252}
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, Olivia, Logan, Matthew, Evelyn, Oliver, Ethan, Chloe, and Samuel. In a statement by Owen: \"if ((Oliver is an egoist) if and only if (Chl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 475, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"lying\", 7], [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 7], [\"lying\", 5]], [\"not...
{"split": "train", "index": 18253}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emma, Mia, Aiden, Victoria, Aria, Lucas, Jacob, Avery, and Owen. Emma commented, \"(it is not the case that (Victoria is a sage or Lucas is a fool)) or (it...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 476, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]], [\"a...
{"split": "train", "index": 18254}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Amelia, Ethan, Daniel, Benjamin, Emma, Liam, Jacob, Riley, and Harper. In a statement by Amelia: \"Benjamin is a laggard\". Ethan noted, \"((if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 477, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 8], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 4]]], ...
{"split": "train", "index": 18255}
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: Daniel, Sophia, Victoria, Aiden, Henry, Riley, James, Emily, and Owen. Daniel stated, \"((Sophia is a knight if and only if Owen is a knight) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 478, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"and\", [\"lying\", 8], [\"lying\", 6]]], [\"<=>\", [\"not\", [\"lying\", 8]], [\"->\", [\"telling-truth\", 8], [\"telling-...
{"split": "train", "index": 18256}
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: Joseph, Riley, Ethan, Mia, Ella, Lily, Lucas, David, and Charlotte. As Joseph put it, \"Mia is a saint if and only if ((Riley is a sinner if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 479, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7], [\"lying\", 3]]]], [\"lying\", 7], [\"not\", [\"lying\", 8]]...
{"split": "train", "index": 18257}
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, Henry, Zoey, Lily, Ella, James, Owen, David, and Jacob. \"((Owen is a fool if and only if David is a sage) if and only if Jacob is a sage) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 480, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"<...
{"split": "train", "index": 18258}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: David, Victoria, Noah, Olivia, Ava, Aria, Lucas, Alexander, and Abigail. David commented, \"(if (Lucas is a knight if and only if Alexander is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 481, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-t...
{"split": "train", "index": 18259}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Lily, Sophia, Riley, Penelope, James, Amelia, Mason, Jacob, and Harper. \"it is not the case that (it is not the case that (Sophia is a devil or Harper...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 482, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 8], [\"lying\", 5], [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 6...
{"split": "train", "index": 18260}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mia, Sofia, Ava, James, Lucas, Sophia, Michael, William, and Harper. Mia noted, \"James is a villain\". Sofia expressed that it is not the case that ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 483, \"statements\": [[\"lying\", 3], [\"not\", [\"and\", [\"->\", [\"lying\", 6], [\"lying\", 7]], [\"not\", [\"telling-truth\", 8]]]], [\"and\", [\"lying\", 6], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"n...
{"split": "train", "index": 18261}
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, Lucas, Chloe, Charlotte, Aria, Mia, Emily, Benjamin, and Grace. In Michael's words: \"(Chloe is a hero and (Benjamin is a hero or Mia is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 484, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 6]]], [\"or\", [\"-...
{"split": "train", "index": 18262}
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: Grace, Penelope, Oliver, Olivia, Jacob, Charlotte, Jack, Ethan, and Henry. Grace told you that it is not the case that (it is not the case that (if H...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 485, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 4]]]], [\"or\", [\"lying\", 6], [\"->\", [\"lying\", 0], [\"lying\", 8]], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]]]], [\"telling...
{"split": "train", "index": 18263}
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: Zoey, Jack, Abigail, Alexander, Owen, Elizabeth, Matthew, Isabella, and Jackson. Zoey asserted: \"Zoey is a hero\". Jack said, \"(Zoey is a villain o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 486, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"or\", [\"lying\", 0], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"or\", [\"lying\", 6], [\"telling-truth\", 7], [\"lying\", 8], [\"lying\", 2]], [\"n...
{"split": "train", "index": 18264}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Michael, William, Jackson, Scarlett, Isabella, Luke, Ava, Evelyn, and Amelia. \"Amelia is a sinner,\" Michael declared. \"if (Jackson is a sinner or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 487, \"statements\": [[\"lying\", 8], [\"->\", [\"or\", [\"lying\", 2], [\"and\", [\"lying\", 8], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"<=>\"...
{"split": "train", "index": 18265}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: David, Abigail, Sofia, Victoria, Sophia, Ethan, Joseph, Jacob, and Sebastian. David told you that if (it is not the case that (if Sofia is a sage then Vict...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 488, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"not\", [\"not\", [\"or\", [...
{"split": "train", "index": 18266}
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: Mason, Olivia, Michael, Lily, Henry, Ethan, Aurora, Liam, and Alexander. \"(if (Ethan is a sage or Michael is a fool or Henry is a fool or Michael is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 489, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 3]], [\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"<=>\", [\"or\",...
{"split": "train", "index": 18267}
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, Elizabeth, Joseph, James, Olivia, Riley, William, Abigail, and Henry. Victoria commented, \"(it is not the case that (Elizabeth is a sinner...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 490, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 8]], [\"or\", [\"telling-truth\", 6], [\"lying\", 1]], [\"or\", [\"lying\", 8], [\"lying\", 3], [\"te...
{"split": "train", "index": 18268}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Sebastian, Olivia, Lily, Samuel, Avery, Alexander, Aria, Aurora, and Owen. \"if Alexander is an altruist then Olivia is an altruist,\" Sebastia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 491, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 8]]], [\"not\", [\"and\", [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 18269}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Noah, Ella, Amelia, Isabella, Liam, Ethan, David, Matthew, and Lucas. \"it is not the case that (it is not the case that (Ethan is a sage or Isabella is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 492, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [\"lying\", 3], [\"lying\", 5], [\"not\", [\"not\", [\"lying\", 8]]], [\"or\", [\"and\", [\"telling-truth\...
{"split": "train", "index": 18270}
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: Daniel, Emma, Zoey, Emily, Michael, Owen, Logan, Victoria, and Aiden. Daniel asserted: \"if ((Owen is a hero or Michael is a hero or Victoria is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 493, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4], [\"lying\", 7]], [\"or\", [\"lying\", 6], [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 8]]], [\"->\", [\"or\", [\...
{"split": "train", "index": 18271}
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: Charlotte, Elizabeth, Noah, Oliver, Amelia, Daniel, Zoey, Liam, and Emma. Charlotte said, \"if ((Daniel is a knight or Emma is a knight or Oliver is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 494, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8], [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"or\", [\"->\", [\"telling-truth\...
{"split": "train", "index": 18272}
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: Chloe, Olivia, William, Joseph, Liam, Riley, Alexander, Michael, and Logan. Chloe stated, \"(if Michael is a devil then Logan is a devil) and ((if Liam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 495, \"statements\": [[\"and\", [\"->\", [\"lying\", 7], [\"lying\", 8]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 8], [\"lying\", 5], [\"telling-truth\", 5]]], [\"not\", [\"->\", [\"telling-tr...
{"split": "train", "index": 18273}
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: Jacob, Joseph, Ethan, Michael, Lucas, Jackson, Isabella, Henry, and Oliver. \"Michael is a saint\" - Jacob. In a statement by Joseph: \"((Michael is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 496, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 7], [\"lying\", 4]], [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"<=>...
{"split": "train", "index": 18274}
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, Luke, Zoey, Sofia, Samuel, Lucas, Noah, Elizabeth, and Olivia. \"Zoey is an egoist,\" Michael claimed. Luke expressed that (Noah is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 497, \"statements\": [[\"lying\", 2], [\"<=>\", [\"not\", [\"lying\", 6]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 7]], [\"->\", [\"telling-truth\", 1], [\"lying\", 6]], [\"lying\", 6]]], [\"or\", [\"lyi...
{"split": "train", "index": 18275}
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: Sofia, Scarlett, Evelyn, Daniel, Avery, Oliver, Benjamin, Noah, and Riley. According to Sofia, \"Benjamin is a laggard and ((if Riley is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 498, \"statements\": [[\"and\", [\"lying\", 6], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 8]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"and\", [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", ...
{"split": "train", "index": 18276}
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: Abigail, Charlotte, Henry, Sebastian, Victoria, Harper, Daniel, Aurora, and Lucas. Abigail told you that if ((if Charlotte is a saint then Sebastian ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 499, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 2]...
{"split": "train", "index": 18277}
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, Victoria, Noah, Sofia, Michael, Elizabeth, Penelope, Amelia, and Jackson. Logan commented, \"it is not the case that (if (if Amelia is a fool then P...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 500, \"statements\": [[\"not\", [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 1]]]], [\"not\", [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"not\", [\"lying\", 0]]]], [\"and\...
{"split": "train", "index": 18278}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Abigail, Olivia, Grace, Chloe, Sofia, Elizabeth, Jacob, Harper, and Penelope. Abigail noted, \"((Penelope is a hero if and only if Chloe is a hero) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 501, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"or\", [\"lying\", 5], [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth...
{"split": "train", "index": 18279}
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, Isabella, Ethan, Jack, Zoey, Aria, Riley, Emma, and Penelope. Mia was heard saying, \"Riley is a laggard\". Isabella said, \"Mia is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 502, \"statements\": [[\"lying\", 6], [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 5]], [\"->\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 5]], [\"and\", [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 6]]], [\"no...
{"split": "train", "index": 18280}
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: Chloe, Logan, Avery, Aria, Evelyn, Lucas, Zoey, Scarlett, and Samuel. Chloe was heard saying, \"Aria is a devil or ((Evelyn is an angel or Scarlett is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 503, \"statements\": [[\"or\", [\"lying\", 3], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 7], [\"lying\", 1]], [\"lying\", 7], [\"and\", [\"lying\", 1], [\"telling-truth\", 5], [\"lying\", 3], [\"lying\", 6]], [\"no...
{"split": "train", "index": 18281}
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, Aria, David, William, Aiden, Jacob, Elizabeth, Henry, and Owen. \"((Elizabeth is a sage or Aria is a fool) and (if Aria is a sage then Jacob is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 504, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"not\", [\"lying\", 7]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-tr...
{"split": "train", "index": 18282}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jacob, Lucas, Michael, Liam, Joseph, Henry, Zoey, Aria, and Jack. \"(Aria is a villain) and ((Jack is a hero if and only if Michael is a villain) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 505, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 7], [\"telling-truth\", 3], [\"telling-truth\", 5]], ...
{"split": "train", "index": 18283}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Benjamin, Owen, William, Penelope, Elizabeth, Sebastian, Noah, Olivia, and Henry. \"(it is not the case that (Henry is a villain)) and (Owen is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 506, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"lying\", 1], [\"->\", [\"lying\", 4], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"telling-trut...
{"split": "train", "index": 18284}
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: Elizabeth, David, Emma, Sofia, Noah, Scarlett, Jack, Lucas, and James. As Elizabeth put it, \"(it is not the case that (Lucas is a devil and Lucas is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 507, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"telling-truth\", 5]], [\"or\", [\"or\", [\"and\", [\"lying\", 8], [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"->\", [\"te...
{"split": "train", "index": 18285}
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, Sebastian, Grace, Michael, Lily, Aiden, Mia, Oliver, and James. Harper was heard saying, \"it is not the case that (Grace is a laggard ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 508, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7], [\"telling-truth\", 4], [\"lying\", 2]]]], [\"and\", [\"<=>\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 4...
{"split": "train", "index": 18286}
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: Penelope, Mason, Aurora, Mia, Ava, James, Emma, Chloe, and Elizabeth. Penelope said that if Emma is a pioneer then (if (James is a laggard or A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 509, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"tell...
{"split": "train", "index": 18287}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Luke, Victoria, Chloe, Henry, Penelope, Charlotte, Zoey, Mia, and Mason. Luke told you that Mason is a sage. Victoria asserted: \"Mason is a sage and ((Hen...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 510, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"telling-truth\", 8], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"telli...
{"split": "train", "index": 18288}
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, Victoria, Noah, David, Chloe, Jack, Lucas, Sebastian, and Ella. Aurora told you that ((David is a knave and Jack is a knight and Victoria is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 511, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"<=>\",...
{"split": "train", "index": 18289}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Noah, Penelope, Daniel, Abigail, William, Liam, Isabella, Emily, and Henry. Noah said, \"(Abigail is a fool) or ((Emily is a fool if and only if Abigail is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 512, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"lying\", 7], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]]], [\"<=>\", [\"lying\"...
{"split": "train", "index": 18290}
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: Emma, Matthew, Mia, Harper, Isabella, Jack, Alexander, Henry, and Ava. \"Matthew is a knight\" - Emma. According to Matthew, \"it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 513, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 8], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\...
{"split": "train", "index": 18291}
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: Chloe, James, Daniel, Sofia, Zoey, Owen, Grace, Elizabeth, and Henry. Chloe remarked, \"Sofia is an angel and (James is an angel) and Elizabeth is a de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 514, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"not\", [\"lying\", 1]], [\"lying\", 7]], [\"not\", [\"not\", [\"lying\", 7]]], [\"->\", [\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"tellin...
{"split": "train", "index": 18292}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Sofia, Harper, Emma, David, Grace, Evelyn, Chloe, Riley, and Olivia. As Sofia put it, \"if (if (Evelyn is a devil) then (if Evelyn is a devil then Chlo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 515, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"lying\", 5], [\"lying\", 6]]], [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"telling-truth\", 3], [\"<=>\", [\"lying\", 8], [\"lyin...
{"split": "train", "index": 18293}
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, Liam, Logan, Benjamin, Joseph, Harper, Aria, Aurora, and Lily. \"it is not the case that (if (if Harper is a pioneer then Liam is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 516, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"telling-truth\", 5]]], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"lying\", 0]], [\"or\"...
{"split": "train", "index": 18294}
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, Henry, Matthew, Penelope, Ava, Noah, Charlotte, Ella, and Olivia. According to Elizabeth, \"(if (Henry is an altruist if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 517, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1], [\"lying\", 4],...
{"split": "train", "index": 18295}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emily, Benjamin, Alexander, Jacob, James, Mason, Amelia, Sebastian, and Owen. According to Emily, \"Sebastian is a villain\". In a statement by Benja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 518, \"statements\": [[\"lying\", 7], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"lying\", 3]], [\"not\", [\"not\"...
{"split": "train", "index": 18296}
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, Owen, Emma, Emily, Alexander, Sophia, Chloe, Sebastian, and Victoria. Aurora remarked, \"it is not the case that (if Emma is a pioneer ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 519, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"not\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\...
{"split": "train", "index": 18297}
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, Amelia, Zoey, Luke, Owen, Alexander, Aria, Samuel, and Emma. \"it is not the case that (if (if Luke is a pioneer then Luke is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 520, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"lying\", 4]]]], [\"or\", [\"->\", [\"or\", [\"lying\", 6], [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 0]], [\"tel...
{"split": "train", "index": 18298}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jacob, Grace, Harper, Aiden, William, Amelia, Alexander, Victoria, and Elizabeth. Jacob commented, \"it is not the case that ((Harper is a sage if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 521, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 8], [\"telling-truth\", 6], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 7]]],...
{"split": "train", "index": 18299}