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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 5 inhabitants: Victoria, Abigail, Emily, Daniel, and Olivia. In Victoria's words: \"Daniel is a sage\". Abigail said, \"if Emily is a sage then (Victoria is a sage).\" \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1988, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"telling-truth\", 2], [\"not\", [\"lying\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\",...
{"split": "train", "index": 13100}
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 5 inhabitants: Amelia, Alexander, Jacob, Benjamin, and David. \"it is not the case that (Benjamin is a saint if and only if David is a saint),\" Amelia declared. Al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1989, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 0], [\"not\", [\"lying\", ...
{"split": "train", "index": 13101}
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 5 inhabitants: Isabella, Chloe, Jacob, Sophia, and Zoey. Isabella remarked, \"(Sophia is a sage if and only if Isabella is a sage) and (if Isabella is a sage then Sophia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1990, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>...
{"split": "train", "index": 13102}
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 5 inhabitants: Emma, Benjamin, Joseph, Aurora, and Henry. In a statement by Emma: \"Henry is a villain\". Benjamin told you that (Benjamin is a hero if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1991, \"statements\": [[\"lying\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 1], [\"or\", [\"lying\", 4], [\"telling-truth\", ...
{"split": "train", "index": 13103}
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 5 inhabitants: Oliver, Lily, Aurora, Sofia, and Benjamin. Oliver told you that (if Oliver is a hero then Sofia is a villain) if and only if (Sofia is a villain or B...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1992, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling...
{"split": "train", "index": 13104}
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 5 inhabitants: Henry, Riley, Matthew, Scarlett, and Abigail. In a statement by Henry: \"(if Riley is an egoist then Scarlett is an egoist) or (Scarlett is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1993, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth...
{"split": "train", "index": 13105}
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 5 inhabitants: James, Scarlett, Evelyn, Grace, and Sophia. \"(Grace is a villain) and (Scarlett is a villain if and only if James is a hero) and (Scarlett is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1994, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\"...
{"split": "train", "index": 13106}
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 5 inhabitants: Noah, James, Riley, Jackson, and Evelyn. Noah remarked, \"if (Riley is an altruist or James is an egoist) then (Riley is an egoist if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1995, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"lying\", 4], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"te...
{"split": "train", "index": 13107}
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 5 inhabitants: Emma, Alexander, Evelyn, Mia, and Amelia. Emma noted, \"if (if Alexander is an egoist then Alexander is an altruist) then Emma is an altruist\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1996, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 1]], [\"and\", [\"<=>\...
{"split": "train", "index": 13108}
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 5 inhabitants: Grace, Amelia, Abigail, Ethan, and Jacob. Grace expressed that Amelia is an altruist. Amelia remarked, \"if (Abigail is an egoist if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1997, \"statements\": [[\"not\", [\"lying\", 1]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 2]], [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"lying\", 3]], [\...
{"split": "train", "index": 13109}
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 5 inhabitants: Lucas, Aurora, Avery, Samuel, and Riley. Lucas expressed that it is not the case that (Samuel is a devil if and only if Lucas is an angel). Aurora note...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1998, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 0], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 0], [\"telling-truth\", 0]], [\"telling-truth\", 4], [\...
{"split": "train", "index": 13110}
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 5 inhabitants: Emma, Daniel, Luke, Sofia, and Abigail. As Emma put it, \"Daniel is a laggard if and only if (if Luke is a laggard then Luke is a pioneer)\". D...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1999, \"statements\": [[\"<=>\", [\"lying\", 1], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"<=>\", [\"or\", [\"telling-tru...
{"split": "train", "index": 13111}
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 5 inhabitants: Riley, Grace, Henry, Penelope, and Luke. Riley stated, \"Henry is a hero or (Luke is a villain if and only if Penelope is a villain)\". Grace was hea...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2000, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"lying\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 2], [\"lying\", 1]], \"solut...
{"split": "train", "index": 13112}
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 5 inhabitants: Scarlett, Daniel, Logan, Samuel, and Aria. Scarlett said that (Daniel is an altruist and Logan is an egoist) or (Samuel is an altruist if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2001, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 4],...
{"split": "train", "index": 13113}
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 5 inhabitants: Emily, Ava, David, Aurora, and Aiden. \"David is a saint or (Aiden is a sinner) or (Aurora is a sinner and David is a sinner and Aiden is a saint and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2002, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 1]]], [\"lying\", 0], [\"telling-truth\", 3], [\"<=>\", [...
{"split": "train", "index": 13114}
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 5 inhabitants: Sebastian, Jacob, Ella, Olivia, and Sophia. In Sebastian's words: \"Sebastian is an angel\". Jacob noted, \"if (Sebastian is a devil) then Olivia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2003, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 3]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3...
{"split": "train", "index": 13115}
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 5 inhabitants: Henry, Owen, Samuel, Isabella, and Jackson. Henry was heard saying, \"(Samuel is a knight if and only if Owen is a knight) if and only if (Isabella i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2004, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]...
{"split": "train", "index": 13116}
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 5 inhabitants: Liam, Sofia, Jackson, Jack, and Evelyn. Liam noted, \"(if Evelyn is a sage then Liam is a sage) if and only if (Jackson is a fool)\". Sofia stated, \"if (J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2005, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 4]],...
{"split": "train", "index": 13117}
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 5 inhabitants: Evelyn, Isabella, Lily, Emily, and Jacob. As Evelyn put it, \"if (if Lily is an angel then Emily is an angel) then Isabella is a devil\". \"(Emily is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2006, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"lying\", 1]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying...
{"split": "train", "index": 13118}
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 5 inhabitants: Grace, Elizabeth, Ethan, Harper, and William. Grace was heard saying, \"if (Ethan is an angel if and only if Elizabeth is an angel) then (Elizabeth is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2007, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 4], [\"tellin...
{"split": "train", "index": 13119}
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 5 inhabitants: Jack, Noah, Chloe, James, and Isabella. Jack noted, \"(if Chloe is a sage then Jack is a sage) or (Isabella is a sage if and only if Isabella is a fool) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2008, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"or\", [\"telling-truth...
{"split": "train", "index": 13120}
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 5 inhabitants: Lily, Noah, Olivia, Ella, and Emily. In a statement by Lily: \"Emily is an angel or (if Lily is an angel then Ella is a devil) or (if Emily is an angel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2009, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"lying\", 1], [\"and\", [\"<=>\", [...
{"split": "train", "index": 13121}
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 5 inhabitants: Daniel, Lucas, Owen, Logan, and Samuel. Daniel remarked, \"Lucas is a hero\". \"(Daniel is a villain) and (Lucas is a hero and Samuel is a hero and D...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2010, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]...
{"split": "train", "index": 13122}
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 5 inhabitants: Sebastian, Henry, Lily, Charlotte, and Michael. Sebastian remarked, \"(Charlotte is a villain) or (Henry is a hero and Lily is a hero and Henry is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2011, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 1]], [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-trut...
{"split": "train", "index": 13123}
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 5 inhabitants: Abigail, Lily, Jackson, Logan, and Charlotte. Abigail remarked, \"(Charlotte is a pioneer or Logan is a laggard or Abigail is a pioneer or Jack...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2012, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"lying\",...
{"split": "train", "index": 13124}
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 5 inhabitants: Michael, Aiden, Emma, Isabella, and Chloe. In Michael's words: \"(Chloe is an egoist and Aiden is an altruist) and (Chloe is an altruist and Ai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2013, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]...
{"split": "train", "index": 13125}
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 5 inhabitants: Abigail, William, Jackson, Ethan, and Jack. \"William is a hero,\" Abigail declared. William said, \"if (Jack is a villain and Ethan is a hero and Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2014, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\...
{"split": "train", "index": 13126}
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 5 inhabitants: Evelyn, Luke, Mia, Emma, and Olivia. Evelyn remarked, \"Olivia is a laggard\". In a statement by Luke: \"if (Emma is a laggard and Emma is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2015, \"statements\": [[\"lying\", 4], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"ly...
{"split": "train", "index": 13127}
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 5 inhabitants: Grace, Penelope, Charlotte, Mia, and Benjamin. In a statement by Grace: \"(Benjamin is a villain and Benjamin is a hero) and (Penelope is a hero and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2016, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"tellin...
{"split": "train", "index": 13128}
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 5 inhabitants: Mia, Harper, Riley, Luke, and Aria. Mia stated, \"it is not the case that (Luke is an angel)\". Harper said that Aria is a devil. Riley said, \"(Luke i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2017, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"lying\", 4], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"...
{"split": "train", "index": 13129}
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 5 inhabitants: Benjamin, Sophia, Logan, Harper, and Riley. Benjamin told you that if (Riley is a laggard and Sophia is a laggard) then (Riley is a laggard). A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2018, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"...
{"split": "train", "index": 13130}
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 5 inhabitants: Noah, Aria, William, Penelope, and Mia. According to Noah, \"it is not the case that (if Noah is a saint then Mia is a saint)\". As Aria put it, \"(N...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2019, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"not\", [\"lying\", 4]], [\"telling-truth\", 3]], [\"lying\", 0], [\"<=>\", [\"o...
{"split": "train", "index": 13131}
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 5 inhabitants: Daniel, Matthew, Noah, Abigail, and Jacob. Daniel said, \"Daniel is an altruist.\" \"if Noah is an egoist then (if Matthew is an altruist then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2020, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"lying\", 2], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"->\", [\"lying\", 1], [\"not\", [\"lying\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying...
{"split": "train", "index": 13132}
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 5 inhabitants: Lucas, Benjamin, Owen, Sebastian, and Ethan. Lucas said that Benjamin is a hero if and only if (Sebastian is a villain and Ethan is a villain). Benja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2021, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-trut...
{"split": "train", "index": 13133}
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 5 inhabitants: Daniel, William, Oliver, Jackson, and Riley. \"Oliver is a sinner,\" Daniel mentioned. William was heard saying, \"if (Jackson is a sinner and Riley ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2022, \"statements\": [[\"lying\", 2], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"lying\", 0]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\",...
{"split": "train", "index": 13134}
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 5 inhabitants: Sofia, Logan, Charlotte, Sebastian, and Noah. Sofia told you that (Logan is an angel and Noah is a devil) and (Sebastian is an angel or Sofia is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2023, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]]...
{"split": "train", "index": 13135}
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 5 inhabitants: Sophia, Isabella, Oliver, Joseph, and David. As Sophia put it, \"(if David is a knight then Oliver is a knave) or (David is a knight or Oliver is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2024, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", ...
{"split": "train", "index": 13136}
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 5 inhabitants: Mia, Emily, Charlotte, Joseph, and Lucas. Mia said that (Joseph is an egoist) if and only if (Lucas is an egoist or Mia is an altruist or Emily...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2025, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"and\...
{"split": "train", "index": 13137}
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 5 inhabitants: James, Elizabeth, Joseph, Emma, and Sophia. James noted, \"Joseph is a saint\". \"it is not the case that (Sophia is a sinner),\" Elizabeth claimed. ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2026, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 1], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 0], [\"lying\", 1]...
{"split": "train", "index": 13138}
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 5 inhabitants: Aria, Matthew, Evelyn, Sebastian, and Alexander. \"Sebastian is an altruist,\" Aria mentioned. \"if (Matthew is an altruist if and only if Alex...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2027, \"statements\": [[\"not\", [\"lying\", 3]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 0]], [\"ly...
{"split": "train", "index": 13139}
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 5 inhabitants: Aiden, Matthew, Jackson, Noah, and Penelope. Aiden commented, \"Noah is a pioneer or (if Aiden is a pioneer then Noah is a laggard)\". Matthew ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2028, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"telling-truth\", 0], [\"lying\", 0], [\"lying\", 4], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 1]]], ...
{"split": "train", "index": 13140}
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 5 inhabitants: Lucas, Avery, Aiden, Isabella, and Harper. In Lucas's words: \"it is not the case that (if Harper is an angel then Aiden is an angel)\". \"it is not th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2029, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 4]], [\"<...
{"split": "train", "index": 13141}
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 5 inhabitants: Charlotte, Mia, Elizabeth, Henry, and Sebastian. Charlotte was heard saying, \"if Mia is an egoist then (Elizabeth is an altruist or Sebastian ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2030, \"statements\": [[\"->\", [\"lying\", 1], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"lying\", 4], [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]]...
{"split": "train", "index": 13142}
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 5 inhabitants: Lily, Ava, Ethan, Noah, and Sofia. Lily said that (Ethan is an egoist) or (Sofia is an altruist and Ethan is an egoist and Lily is an altruist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2031, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\"...
{"split": "train", "index": 13143}
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 5 inhabitants: William, Jacob, Emma, Emily, and Aurora. According to William, \"(Emily is a knight and Emma is a knight) and (Emily is a knave or Aurora is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2032, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"and...
{"split": "train", "index": 13144}
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 5 inhabitants: Ethan, William, Logan, Aiden, and Aria. Ethan remarked, \"it is not the case that (if Logan is a knave then Aiden is a knave)\". William said that (E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2033, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"tell...
{"split": "train", "index": 13145}
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 5 inhabitants: Logan, Elizabeth, Joseph, Benjamin, and Liam. Logan told you that (Benjamin is a fool) and (if Logan is a sage then Benjamin is a fool). Elizabeth noted, \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2034, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 3]], [\"tell...
{"split": "train", "index": 13146}
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 5 inhabitants: Grace, Mason, Daniel, Benjamin, and Charlotte. According to Grace, \"Benjamin is a knave\". \"(Daniel is a knight and Benjamin is a knight and Grace ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2035, \"statements\": [[\"lying\", 3], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 0]], [\"telling-truth\", 2], [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"t...
{"split": "train", "index": 13147}
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 5 inhabitants: Jack, Emily, Alexander, Owen, and Lucas. Jack told you that if (if Jack is an altruist then Owen is an egoist) then (Alexander is an egoist if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2036, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying...
{"split": "train", "index": 13148}
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 5 inhabitants: Aria, Ava, Scarlett, Daniel, and Charlotte. In a statement by Aria: \"if (Scarlett is a knight) then (Scarlett is a knight if and only if Charlotte i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2037, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 2], [\"->\", [...
{"split": "train", "index": 13149}
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 5 inhabitants: Emma, David, Charlotte, Lily, and Oliver. Emma stated, \"if (Oliver is a sinner and Oliver is a saint and David is a saint) then (Lily is a sinner or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2038, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"lyi...
{"split": "train", "index": 13150}
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 5 inhabitants: Aiden, Harper, Joseph, Logan, and Avery. \"it is not the case that (Harper is an angel if and only if Avery is a devil),\" Aiden declared. In Harper's ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2039, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\...
{"split": "train", "index": 13151}
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 5 inhabitants: Avery, Matthew, Abigail, Logan, and Lily. Avery said that (Avery is a laggard) or (Logan is a pioneer or Logan is a laggard or Matthew is a lag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2040, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"telling-...
{"split": "train", "index": 13152}
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 5 inhabitants: David, Harper, Liam, Evelyn, and Jacob. David remarked, \"Evelyn is an egoist\". \"(Evelyn is an altruist and Harper is an altruist and David i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2041, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 4]], [\"lying\", 4]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"...
{"split": "train", "index": 13153}
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 5 inhabitants: Logan, Abigail, Emma, Victoria, and Oliver. Logan said, \"Victoria is a laggard or (Abigail is a pioneer).\" \"it is not the case that (Victori...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2042, \"statements\": [[\"or\", [\"lying\", 3], [\"not\", [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"t...
{"split": "train", "index": 13154}
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 5 inhabitants: Emily, Owen, Daniel, Zoey, and Sebastian. Emily commented, \"if (if Daniel is a devil then Owen is a devil) then (Zoey is an angel or Emily is an angel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2043, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\...
{"split": "train", "index": 13155}
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 5 inhabitants: Oliver, Henry, Ella, Sofia, and Grace. \"(Oliver is a hero and Sofia is a villain and Grace is a villain) or Sofia is a villain or Henry is a hero or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2044, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 4]], [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"...
{"split": "train", "index": 13156}
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 5 inhabitants: Liam, Aria, Sophia, Lily, and Riley. \"(Sophia is a sage and Sophia is a fool) or Lily is a sage,\" Liam declared. In Aria's words: \"Lily is a fool\". Acc...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2045, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 3]], [\"lying\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 2],...
{"split": "train", "index": 13157}
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 5 inhabitants: Oliver, Sophia, Olivia, Mia, and Lily. Oliver noted, \"(Mia is an angel or Lily is an angel) or (Mia is an angel) or (Mia is a devil) or (if Lily is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2046, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"t...
{"split": "train", "index": 13158}
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 5 inhabitants: Benjamin, Samuel, Amelia, Victoria, and Henry. In Benjamin's words: \"it is not the case that (if Henry is a knave then Samuel is a knave)\". Samuel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2047, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"tell...
{"split": "train", "index": 13159}
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 5 inhabitants: Victoria, Olivia, Lily, Jackson, and Ethan. \"it is not the case that (Jackson is an angel if and only if Ethan is an angel),\" Victoria claimed. Olivi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2048, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"<=>\", [\...
{"split": "train", "index": 13160}
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 5 inhabitants: Jack, Grace, Olivia, Victoria, and Scarlett. Jack remarked, \"Victoria is a pioneer\". According to Grace, \"(Grace is a pioneer if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2049, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"->\...
{"split": "train", "index": 13161}
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 5 inhabitants: Henry, Samuel, Victoria, Zoey, and Chloe. In Henry's words: \"(if Henry is a sage then Zoey is a fool) and (if Chloe is a sage then Zoey is a fool) and (Vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2050, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 4]], [\"...
{"split": "train", "index": 13162}
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 5 inhabitants: Chloe, Daniel, Owen, Ethan, and Amelia. Chloe noted, \"Ethan is a laggard\". Daniel was heard saying, \"(if Owen is a pioneer then Chloe is a p...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2051, \"statements\": [[\"lying\", 3], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"and\",...
{"split": "train", "index": 13163}
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 5 inhabitants: Michael, James, Abigail, William, and Riley. Michael stated, \"James is a laggard\". In James's words: \"if Michael is a laggard then (if Willi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2052, \"statements\": [[\"lying\", 1], [\"->\", [\"lying\", 0], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 4], [\"lying\", 1...
{"split": "train", "index": 13164}
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 5 inhabitants: Harper, Abigail, Victoria, Grace, and Logan. Harper stated, \"(Victoria is an angel if and only if Grace is an angel) or (Harper is an angel if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2053, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth...
{"split": "train", "index": 13165}
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 5 inhabitants: Charlotte, Joseph, Avery, Sofia, and Olivia. Charlotte stated, \"(Sofia is an altruist if and only if Joseph is an egoist) or (if Olivia is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2054, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]], [\"telling-truth\", 4]], [\"or\", [\"->\", [\"telling-trut...
{"split": "train", "index": 13166}
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 5 inhabitants: Scarlett, Victoria, Sebastian, Ella, and Owen. Scarlett said, \"Victoria is an angel and Ella is an angel and (Victoria is an angel if and only if Vict...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2055, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"lying\", 2], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"and\...
{"split": "train", "index": 13167}
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 5 inhabitants: Aria, Charlotte, Victoria, Jackson, and David. \"if (if David is a sage then Jackson is a fool) then David is a sage,\" Aria claimed. In a statement by Cha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2056, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 4]], [\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 3], [\"or\", [\"lying\", ...
{"split": "train", "index": 13168}
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 5 inhabitants: James, Alexander, Lucas, Chloe, and Logan. James remarked, \"if (Chloe is an altruist and James is an altruist and Logan is an egoist and Chloe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2057, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"te...
{"split": "train", "index": 13169}
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 5 inhabitants: Mason, Daniel, James, Lily, and David. Mason said that it is not the case that (David is a knight or James is a knave or Daniel is a knight or Mason ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2058, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]], [\"lying\", 0]], [\"telling-truth...
{"split": "train", "index": 13170}
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 5 inhabitants: Ella, Chloe, Riley, Jack, and Mason. Ella was heard saying, \"it is not the case that (Chloe is a knave or Jack is a knave or Mason is a knave or Chl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2059, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\"and\", [\"not\", [...
{"split": "train", "index": 13171}
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 5 inhabitants: Liam, Aurora, Luke, Victoria, and Lily. Liam said, \"it is not the case that (Lily is a saint).\" Aurora noted, \"(Lily is a saint and Liam is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2060, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 4], [\"or\", [\"not\", [...
{"split": "train", "index": 13172}
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 5 inhabitants: Victoria, Oliver, Lucas, Mason, and Emma. Victoria told you that Mason is a devil or (Emma is a devil and Lucas is a devil) or (if Mason is a devil the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2061, \"statements\": [[\"or\", [\"lying\", 3], [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"lying\", 3], [\"and\", [\"lying\", 1], ...
{"split": "train", "index": 13173}
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 5 inhabitants: Logan, Abigail, Michael, Henry, and Benjamin. Logan commented, \"Benjamin is a pioneer\". Abigail commented, \"it is not the case that (Michael...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2062, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 0]]], [\"or\",...
{"split": "train", "index": 13174}
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 5 inhabitants: Mason, Joseph, Benjamin, Michael, and Samuel. \"Joseph is a knight,\" Mason claimed. Joseph said that if (Michael is a knave and Samuel is a knight a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2063, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"lying\", 2], [\"telling-tr...
{"split": "train", "index": 13175}
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 5 inhabitants: Ava, Jacob, Scarlett, Penelope, and Sebastian. In a statement by Ava: \"Penelope is a pioneer\". Jacob commented, \"Sebastian is a pioneer and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2064, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"telling-truth\", 4], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"->\", [\"<=>\", [\"lying\",...
{"split": "train", "index": 13176}
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 5 inhabitants: Chloe, Zoey, Mason, Emma, and Matthew. Chloe noted, \"if (Zoey is a knave if and only if Matthew is a knave) then (Mason is a knight or Zoey is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2065, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\"...
{"split": "train", "index": 13177}
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 5 inhabitants: Matthew, Scarlett, Alexander, Lily, and Mason. Matthew stated, \"if (Matthew is an angel and Lily is a devil and Scarlett is a devil and Mason is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2066, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-trut...
{"split": "train", "index": 13178}
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 5 inhabitants: Jacob, Victoria, Abigail, Elizabeth, and Luke. \"it is not the case that (if Elizabeth is a villain then Victoria is a villain)\" - Jacob. \"(Abigail...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2067, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"tel...
{"split": "train", "index": 13179}
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 5 inhabitants: Lucas, Aiden, Avery, Liam, and Noah. In Lucas's words: \"(Lucas is a pioneer and Noah is a laggard and Liam is a pioneer and Avery is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2068, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 0], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-trut...
{"split": "train", "index": 13180}
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 5 inhabitants: Aurora, Victoria, Charlotte, Evelyn, and Ethan. Aurora stated, \"(Charlotte is an egoist) and (Victoria is an altruist and Ethan is an egoist a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2069, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"l...
{"split": "train", "index": 13181}
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 5 inhabitants: James, Avery, Emma, Riley, and Olivia. James expressed that Emma is a villain if and only if (Avery is a villain). Avery said, \"if (James is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2070, \"statements\": [[\"<=>\", [\"lying\", 2], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"tel...
{"split": "train", "index": 13182}
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 5 inhabitants: Emma, Jack, Noah, Aiden, and Aurora. \"Aiden is a hero,\" Emma claimed. In Jack's words: \"if (if Jack is a hero then Emma is a villain) then (Emma i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2071, \"statements\": [[\"not\", [\"lying\", 3]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 0]...
{"split": "train", "index": 13183}
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 5 inhabitants: Joseph, Emma, Emily, Sebastian, and Michael. In a statement by Joseph: \"(Emily is a saint) and (Emma is a saint if and only if Sebastian is a sinner...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2072, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"telling-...
{"split": "train", "index": 13184}
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 5 inhabitants: Jackson, Jack, Lily, Mia, and Benjamin. Jackson asserted: \"(Benjamin is a villain and Benjamin is a hero) and (Jackson is a hero if and only if Lily...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2073, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\",...
{"split": "train", "index": 13185}
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 5 inhabitants: Daniel, Olivia, James, Sebastian, and Alexander. Daniel commented, \"James is a fool and (Olivia is a fool if and only if Sebastian is a sage) and (James i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2074, \"statements\": [[\"and\", [\"lying\", 2], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"or\"...
{"split": "train", "index": 13186}
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 5 inhabitants: Grace, Noah, William, James, and Amelia. In Grace's words: \"(Noah is a pioneer) and (William is a laggard and Amelia is a pioneer and James is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2075, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]...
{"split": "train", "index": 13187}
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 5 inhabitants: Victoria, Riley, William, Logan, and Zoey. According to Victoria, \"it is not the case that (Riley is a sinner or Zoey is a saint)\". Riley was heard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2076, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"...
{"split": "train", "index": 13188}
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 5 inhabitants: Ella, Chloe, Noah, Evelyn, and Isabella. In a statement by Ella: \"(Chloe is a fool or Chloe is a sage or Noah is a sage or Noah is a fool) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2077, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 4]]], [\"a...
{"split": "train", "index": 13189}
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 5 inhabitants: Scarlett, Daniel, Oliver, Lily, and Henry. In a statement by Scarlett: \"it is not the case that (if Henry is a laggard then Scarlett is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2078, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 2], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 1]], [\"lying\", 0], [\"or\", [\"...
{"split": "train", "index": 13190}
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 5 inhabitants: Scarlett, Abigail, Daniel, Michael, and Henry. Scarlett said, \"(Henry is a laggard) or (Henry is a pioneer and Scarlett is a pioneer) or (if D...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2079, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 3], [\"ly...
{"split": "train", "index": 13191}
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 5 inhabitants: Harper, Ava, Grace, Aurora, and Zoey. In a statement by Harper: \"if (Grace is a sinner if and only if Aurora is a sinner) then (Ava is a saint)\". A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2080, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telli...
{"split": "train", "index": 13192}
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 5 inhabitants: Amelia, Emily, Joseph, Riley, and Luke. In Amelia's words: \"it is not the case that (Amelia is an angel and Luke is a devil)\". \"if (Emily is an ange...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2081, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1]]]...
{"split": "train", "index": 13193}
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 5 inhabitants: Zoey, Ava, Amelia, Grace, and Matthew. Zoey told you that if (Grace is a sage and Zoey is a sage and Grace is a fool and Ava is a sage) then (Matthew is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2082, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\...
{"split": "train", "index": 13194}
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 5 inhabitants: Zoey, Sophia, Ethan, Avery, and Sebastian. Zoey asserted: \"Sebastian is a knight\". \"if (Ethan is a knight) then (Zoey is a knave or Ethan is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2083, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 4]], [\"->\", [\"an...
{"split": "train", "index": 13195}
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 5 inhabitants: Ella, Liam, James, Benjamin, and Isabella. Ella said, \"(Benjamin is a sinner) and (if James is a sinner then James is a saint).\" Liam was heard say...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2084, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]...
{"split": "train", "index": 13196}
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 5 inhabitants: Mason, Sofia, Aria, Lily, and Chloe. According to Mason, \"(Sofia is a knave and Chloe is a knight and Sofia is a knight) if and only if (if Aria is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2085, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\...
{"split": "train", "index": 13197}
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 5 inhabitants: Jacob, Matthew, Olivia, Henry, and Daniel. Jacob said, \"(if Matthew is an angel then Daniel is an angel) and (if Matthew is a devil then Matthew is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2086, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 0],...
{"split": "train", "index": 13198}
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 5 inhabitants: Matthew, Aurora, Emma, Penelope, and Aria. Matthew asserted: \"(if Penelope is a knave then Emma is a knight) or (Emma is a knight and Emma is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2087, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"...
{"split": "train", "index": 13199}