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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sophia, Amelia, Penelope, Olivia, Alexander, Luke, Scarlett, Isabella, and David. According to Sophia, \"(Olivia is a knight and Scarlett is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 988, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6], [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [...
{"split": "train", "index": 12100}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Luke, Aurora, Michael, Grace, Amelia, Matthew, Aiden, Evelyn, and Owen. Luke said, \"it is not the case that (Michael is a knight and Evelyn is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 989, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 7], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 8]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 7]]], [\"or\", [\"telling-truth\", 8], [\"ly...
{"split": "train", "index": 12101}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Henry, Alexander, James, Aiden, Ava, Benjamin, Scarlett, Liam, and Lily. As Henry put it, \"Liam is a sinner\". Alexander said that (if Benjamin is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 990, \"statements\": [[\"lying\", 7], [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 8]], [\"telling-...
{"split": "train", "index": 12102}
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: Joseph, Jackson, Zoey, Grace, Matthew, Michael, Emma, Daniel, and Riley. Joseph commented, \"Michael is a knave\". \"if Matthew is a knight then (Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 991, \"statements\": [[\"lying\", 5], [\"->\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 5]], [\"->\", [\"telling-truth\", 5], [\"lying\...
{"split": "train", "index": 12103}
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: Lily, Jack, Aiden, Olivia, Aria, William, Ava, Zoey, and Owen. Lily said that (Jack is a villain) if and only if Jack is a villain. Jack expressed th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 992, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 1]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 5]], [\"telling-truth\", 5]...
{"split": "train", "index": 12104}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Zoey, Sophia, Aria, Victoria, Liam, Chloe, Jackson, Amelia, and Matthew. In a statement by Zoey: \"Sophia is a devil\". Sophia said, \"Jackson is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 993, \"statements\": [[\"lying\", 1], [\"and\", [\"lying\", 6], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6], [\"telling-truth\", 5], [\"lying\", 7]], [\"or\", [\"lying\", 6], [\"lying\", 2]], [\"<=>\", [\"lying\",...
{"split": "train", "index": 12105}
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: Chloe, Olivia, Charlotte, Amelia, Aiden, Jacob, James, Sofia, and Evelyn. Chloe expressed that if (James is a knave and Sofia is a knight and Aiden i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 994, \"statements\": [[\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 7], [\"telling-truth\", 4], [\"lying\", 8]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"o...
{"split": "train", "index": 12106}
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: David, Grace, Charlotte, James, Abigail, Oliver, Liam, Jack, and Michael. As David put it, \"James is a devil and (if Charlotte is an angel then Charlo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 995, \"statements\": [[\"and\", [\"lying\", 3], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 8]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 5]]], [\"and\"...
{"split": "train", "index": 12107}
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: Isabella, Evelyn, Owen, Riley, Charlotte, Sofia, Ethan, Aria, and Matthew. \"(if Aria is a knight then Riley is a knight) or (Evelyn is a knight if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 996, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"not\",...
{"split": "train", "index": 12108}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sebastian, Daniel, Avery, Amelia, Henry, Emily, Lucas, Elizabeth, and Luke. Sebastian noted, \"(Emily is a knight or Henry is a knave) or (Elizabeth ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 997, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 4]], [\"and\", [\"telling-truth\", 7], [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 2], [\"lying\", 7...
{"split": "train", "index": 12109}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Luke, Michael, Charlotte, Grace, Lucas, Avery, Emily, Mia, and Benjamin. \"(Grace is a knight or Grace is a knave) or (if Avery is a knight then Luca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 998, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 5], [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"->\"...
{"split": "train", "index": 12110}
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: Abigail, Sofia, Harper, Aurora, Riley, Michael, Amelia, Aiden, and Victoria. \"Sofia is an egoist,\" Abigail declared. \"if (Michael is an egoi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 999, \"statements\": [[\"lying\", 1], [\"->\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 8], [\"telling-truth\", 7], [\"lying\", 6], [\"lying\", 5]]], [\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\...
{"split": "train", "index": 12111}
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: Noah, Jackson, Sofia, Luke, Samuel, Penelope, Oliver, Zoey, and Amelia. \"if (Amelia is a sinner or Penelope is a saint or Luke is a sinner or Samuel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1000, \"statements\": [[\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5], [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"tel...
{"split": "train", "index": 12112}
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: Evelyn, Alexander, Abigail, Aria, Jack, Samuel, Liam, Ella, and Amelia. Evelyn remarked, \"it is not the case that (Abigail is a sage and Amelia is a sage ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1001, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8], [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 7], [\...
{"split": "train", "index": 12113}
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: Aria, Oliver, Luke, Chloe, Aiden, Jacob, Charlotte, Sebastian, and Michael. Aria noted, \"(Aiden is a sinner if and only if Luke is a sinner) or (Aid...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1002, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 6], [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"->\", [\"telli...
{"split": "train", "index": 12114}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jack, Harper, Oliver, Penelope, Henry, Jacob, James, Liam, and Aiden. Jack commented, \"(if Liam is an angel then James is an angel) or (James is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1003, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8], [\"telling-truth\", 3]]], [...
{"split": "train", "index": 12115}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jackson, Charlotte, Penelope, Grace, Emma, Emily, Ava, Noah, and Harper. According to Jackson, \"Noah is a pioneer and (Penelope is a pioneer o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1004, \"statements\": [[\"and\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"lying\", 3], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", ...
{"split": "train", "index": 12116}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Logan, Aiden, Jack, David, Victoria, Mia, Emily, Isabella, and Penelope. Logan said that Isabella is a pioneer and (Aiden is a pioneer or Emily...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1005, \"statements\": [[\"and\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 1], [\"lying\", 6], [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5], [\"telling-t...
{"split": "train", "index": 12117}
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: Aria, Emma, Daniel, Michael, Elizabeth, Ava, Scarlett, Penelope, and Luke. In a statement by Aria: \"(if Daniel is a laggard then Michael is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1006, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"lying\", 3], [\"and\", [\"telling-truth\", 2], [\"lying\", 7], [\"lying\", 6], [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"lying\", 7]],...
{"split": "train", "index": 12118}
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, Aiden, James, Aurora, Emily, Lucas, Emma, Harper, and Isabella. \"(Lucas is an altruist) and Lucas is an egoist and (Aiden is an ego...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1007, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"lying\", 5], [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"telling-truth\", 5]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]], [\"lying\", 3]], [\"l...
{"split": "train", "index": 12119}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Michael, Joseph, Logan, Lucas, David, Noah, Jack, Matthew, and Riley. Michael noted, \"if (Michael is a laggard) then (if Jack is a pioneer the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1008, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 0], [\"lying\", 4...
{"split": "train", "index": 12120}
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: Mason, Ella, Alexander, Emily, Avery, Daniel, Michael, Grace, and Sophia. Mason expressed that (Avery is an egoist and Sophia is an egoist and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1009, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 7], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 7], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-tru...
{"split": "train", "index": 12121}
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, Charlotte, Emma, Emily, Sebastian, Alexander, Elizabeth, Jack, and Penelope. Oliver asserted: \"(Emily is a villain and Charlotte is a hero a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1010, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 7]], [\"not\", [\"lying\", 2]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 6]], [\"or\", [\"telling-truth\", 4]...
{"split": "train", "index": 12122}
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: David, Ethan, Matthew, Alexander, Sophia, Elizabeth, Mia, Abigail, and Emily. \"(Emily is a laggard) and (Matthew is a pioneer and Elizabeth is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1011, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 2], [\"lying\", 5], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]]...
{"split": "train", "index": 12123}
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: Aiden, Jack, Luke, Matthew, Evelyn, Harper, Riley, Scarlett, and Samuel. Aiden asserted: \"it is not the case that (Matthew is a fool or Evelyn is a fool o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1012, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 6], [\"telling-truth\", 6]]], [\"not\", [\"lying\", 4]], [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 8], [\"telling-trut...
{"split": "train", "index": 12124}
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, Lucas, Avery, Victoria, Aiden, Sophia, Jack, Matthew, and Charlotte. Henry noted, \"(Lucas is an egoist) or (Avery is an egoist) or Soph...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1013, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]], [\"lying\", 5], [\"or\", [\"lying\", 7], [\"lying\", 8]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"or\", ...
{"split": "train", "index": 12125}
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, Jackson, Abigail, Owen, William, Daniel, Sebastian, Aurora, and Alexander. As Avery put it, \"it is not the case that (Sebastian is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1014, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]], [\"lying\", 5], [\"lying\", 4]], [...
{"split": "train", "index": 12126}
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: Ethan, Emma, Emily, Grace, Abigail, Jack, Avery, Victoria, and Benjamin. Ethan expressed that (Benjamin is a fool) if and only if Avery is a fool. \"Abigai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1015, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"lying\", 6]], [\"telling-truth\", 4], [\"->\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 8]], [\"lying...
{"split": "train", "index": 12127}
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, Daniel, Ella, Isabella, Elizabeth, Oliver, Ethan, Mason, and Logan. \"(Mason is an egoist if and only if Ella is an egoist) or (if L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1016, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 2]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\...
{"split": "train", "index": 12128}
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, Mason, William, Aiden, Aria, Jacob, David, Harper, and Aurora. \"Jacob is a sinner,\" Michael mentioned. \"(William is a saint and Aurora is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1017, \"statements\": [[\"lying\", 5], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 8], [\"telling-truth\", 6]], [\"telling-truth\", 5]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling...
{"split": "train", "index": 12129}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Benjamin, Zoey, Lucas, Scarlett, Aiden, Joseph, Elizabeth, Jack, and David. Benjamin commented, \"(Lucas is a pioneer and Joseph is a pioneer) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1018, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"lying\", 1]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"->\...
{"split": "train", "index": 12130}
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: Olivia, Samuel, Joseph, Scarlett, Victoria, Jack, Abigail, Matthew, and Sofia. Olivia said that it is not the case that (Jack is a saint or Jack is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1019, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 5], [\"lying\", 7]]], [\"telling-truth\", 0], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6], [\"lying\", 7]], [\"telling-truth\"...
{"split": "train", "index": 12131}
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, Jackson, Evelyn, Amelia, Owen, Jack, Lily, Oliver, and Mason. David stated, \"(if Mason is a knight then Jack is a knave) or (Owen is a knave ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1020, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 5]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 6]...
{"split": "train", "index": 12132}
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: Daniel, Sofia, Harper, Owen, Amelia, Samuel, Chloe, Oliver, and Scarlett. Daniel stated, \"Chloe is a sinner\". According to Sofia, \"Amelia is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1021, \"statements\": [[\"lying\", 6], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 8], [\"lying\", 4]]], [\"->\", [\"lying\", 1], [\"<=>\", [\"ly...
{"split": "train", "index": 12133}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Lucas, Abigail, Aria, Aiden, Michael, Penelope, Avery, Evelyn, and Ava. According to Lucas, \"if (Aiden is a knave) then (Aria is a knight)\". Abigai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1022, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"lying\", 8], [\"->\", [\"telling...
{"split": "train", "index": 12134}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Chloe, Mia, Luke, Aurora, Ava, Sebastian, James, Liam, and Sofia. Chloe noted, \"Mia is an egoist\". Mia said, \"if (Chloe is an altruist) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1023, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"->\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 6]], [\"or\", [\"lying\", 7], [\"t...
{"split": "train", "index": 12135}
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, Matthew, Abigail, Victoria, Sebastian, Liam, Noah, Aurora, and Olivia. Lily said, \"if (Matthew is an angel and Lily is an angel and Aurora is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1024, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 7], [\"telling-truth\", 5]], [\"and\", [\"lying\", 6], [\"lying\", 2]]], [\"or\", [\"lying\", 6], [\"->\", [\"telling-truth\...
{"split": "train", "index": 12136}
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, Aria, Joseph, Aurora, Henry, Ella, Oliver, Emily, and Aiden. \"Aria is a saint\" - Alexander. \"(Aurora is a sinner) or (Ella is a saint) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1025, \"statements\": [[\"not\", [\"lying\", 1]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 5]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 5],...
{"split": "train", "index": 12137}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Luke, James, Alexander, Emma, Amelia, Emily, Owen, Chloe, and Lily. Luke asserted: \"Alexander is an egoist if and only if (Lily is an altruist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1026, \"statements\": [[\"<=>\", [\"lying\", 2], [\"and\", [\"telling-truth\", 8], [\"lying\", 8], [\"lying\", 7]]], [\"telling-truth\", 0], [\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3], [\"lying\", 6], [\"...
{"split": "train", "index": 12138}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Owen, Avery, Olivia, Aurora, Jackson, James, Matthew, Oliver, and Sophia. Owen was heard saying, \"Olivia is a knave\". \"(if Jackson is a knave then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1027, \"statements\": [[\"lying\", 2], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 6]], [\"->\", [\"lying\", 3], [\"telling-truth\", 8]], [\"and\", [\"lying\", 5], [\"lying\", 0], [\"lying\", 6]]], [\"->\", [\"not\"...
{"split": "train", "index": 12139}
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: Victoria, James, Noah, Sophia, Penelope, Samuel, Logan, Sebastian, and Aiden. In a statement by Victoria: \"it is not the case that (Sophia is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1028, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"lying\", 8], [\"lying\", 7], [\"telling-truth\", 8]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6], [\"lying\", 5], [\"telling-truth\", 3]], [\"lying...
{"split": "train", "index": 12140}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Logan, Ethan, Samuel, Sophia, Zoey, Jack, Harper, Abigail, and Sebastian. Logan expressed that (Samuel is a sinner if and only if Sophia is a sinner)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1029, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"telling-truth\", 6], [\"->\", [\"->\", [...
{"split": "train", "index": 12141}
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, Oliver, Lucas, Benjamin, Liam, Emma, Aurora, Zoey, and Abigail. \"if (Emma is a knight) then Lucas is a knave\" - David. As Oliver put it, \"(...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1030, \"statements\": [[\"->\", [\"not\", [\"lying\", 5]], [\"lying\", 2]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 4], [\"lyin...
{"split": "train", "index": 12142}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Daniel, Jackson, Isabella, Michael, James, Sofia, Victoria, Charlotte, and Luke. As Daniel put it, \"(if Michael is a sage then Sofia is a fool) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1031, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"and\", [\"lying\", 7], [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telli...
{"split": "train", "index": 12143}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Evelyn, Mia, Chloe, Riley, Sofia, Lucas, Charlotte, Mason, and Harper. \"(Evelyn is an angel or Harper is a devil) and (if Riley is a devil then Chloe ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1032, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 8]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 8]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"tell...
{"split": "train", "index": 12144}
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, Avery, Abigail, Samuel, Olivia, Mia, Sophia, Matthew, and Grace. In a statement by Lucas: \"it is not the case that (Grace is an egoist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1033, \"statements\": [[\"not\", [\"or\", [\"lying\", 8], [\"lying\", 5], [\"lying\", 1], [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 3], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 1],...
{"split": "train", "index": 12145}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Emma, Oliver, Sebastian, Harper, Liam, Olivia, Riley, Isabella, and Sofia. Emma remarked, \"it is not the case that (Sofia is an angel)\". \"Riley is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1034, \"statements\": [[\"not\", [\"not\", [\"lying\", 8]]], [\"lying\", 6], [\"->\", [\"or\", [\"lying\", 6], [\"lying\", 1], [\"telling-truth\", 7]], [\"->\", [\"lying\", 5], [\"lying\", 7]]], [\"or\", [\"<=>\", [\"lying\", ...
{"split": "train", "index": 12146}
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, Noah, Henry, Jackson, Aria, Scarlett, David, Riley, and James. \"James is an egoist or (Jackson is an altruist and Jackson is an egoist)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1035, \"statements\": [[\"or\", [\"lying\", 8], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 7], [\"lying\", 4]]]...
{"split": "train", "index": 12147}
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, Emma, Joseph, Ethan, Elizabeth, Aurora, Jackson, Lucas, and Olivia. In a statement by Evelyn: \"it is not the case that (Lucas is an eg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1036, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 7], [\"lying\", 1]]], [\"telling-truth\", 8], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 5], [\"telling-truth\", 6], [\"lying\", 7]], [\"not\", [\"lying\", 6]...
{"split": "train", "index": 12148}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lily, David, Emma, Logan, Emily, Lucas, Riley, Olivia, and Michael. In Lily's words: \"if (Riley is an egoist if and only if David is an altrui...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1037, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"n...
{"split": "train", "index": 12149}
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: Mason, Henry, Jack, Joseph, Sophia, Emma, Emily, Alexander, and Noah. \"Jack is a sinner,\" Mason claimed. \"Noah is a saint if and only if (Sophia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1038, \"statements\": [[\"lying\", 2], [\"<=>\", [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"->\", [\"lying\", 7], ...
{"split": "train", "index": 12150}
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: Logan, Aria, Emily, Oliver, James, Lily, Harper, Sebastian, and David. Logan said, \"if (David is a knave and Lily is a knight and David is a knight ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1039, \"statements\": [[\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 8], [\"lying\", 6]], [\"telling-truth\", 1]], [\"or\", [\"or\", [\"lying\", 5], [\"lying\", 3], [\"lying\", 6]], [\"not\", [...
{"split": "train", "index": 12151}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Elizabeth, Sophia, Ella, Logan, Joseph, Riley, Aiden, Henry, and Owen. According to Elizabeth, \"(Logan is a sage or Logan is a fool or Riley is a fool or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1040, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 5], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telli...
{"split": "train", "index": 12152}
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: Charlotte, Liam, Grace, Samuel, Daniel, David, Penelope, Chloe, and Amelia. Charlotte said that (if Daniel is an altruist then Chloe is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1041, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"telling-truth\", 0]], [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 0], [\"lying\", 0], [\"telling-truth\", 7]], [\"...
{"split": "train", "index": 12153}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: James, Olivia, Ella, Lily, Oliver, Chloe, Logan, Riley, and William. \"(Chloe is a devil if and only if Lily is a devil) if and only if (William is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1042, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"not\", [\"lying\", 8]]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"lying\", 6]], [\"->\", [\"or\", [\"lying\", 5], [\"telling-t...
{"split": "train", "index": 12154}
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, Jack, Daniel, Sophia, Penelope, David, Abigail, Aurora, and William. \"(William is an angel) and (Riley is an angel if and only if Penelope is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1043, \"statements\": [[\"and\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 8], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"tell...
{"split": "train", "index": 12155}
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, Aria, Isabella, Owen, Alexander, Ella, Evelyn, Aiden, and David. \"if Ella is a saint then (if Owen is a saint then Aiden is a sinner)\" - Mia. ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1044, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"<=>\", [\"lying\", 6], [\"<=>\", [\"lying\", 4], [\"lying\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 8], [\"lyin...
{"split": "train", "index": 12156}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Matthew, Noah, James, Benjamin, Lily, Logan, Harper, Ella, and Henry. Matthew remarked, \"Lily is a knight\". Noah commented, \"(Harper is a knave an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1045, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 8], [\"telling-truth\", 7], [\"lying\", 7]], [\"or\", [\"lying\", 7], [\"telling-truth\", 5], [\"lying\", 8], [\"telling-tr...
{"split": "train", "index": 12157}
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, Sophia, Jackson, Noah, Evelyn, Liam, Elizabeth, Zoey, and Emma. In a statement by David: \"Liam is a knave\". As Sophia put it, \"(Jackson is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1046, \"statements\": [[\"lying\", 5], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 7], [\"telling-truth\", ...
{"split": "train", "index": 12158}
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: Victoria, William, Chloe, Amelia, Mia, Matthew, Logan, Joseph, and Emily. Victoria expressed that (Amelia is a knight if and only if Mia is a knave) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1047, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"telling-truth\", 0], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 5], [\"lyin...
{"split": "train", "index": 12159}
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: Ava, Alexander, Emma, Joseph, Emily, Charlotte, Henry, Sebastian, and Grace. \"if (Emma is a knight if and only if Joseph is a knight) then (Emma is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1048, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 8], [\"lying\", 8]]], [\"lying\", 4], [\"lying\", 3], [\"lying\", 4], [\"->\", [\"...
{"split": "train", "index": 12160}
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: Aurora, Chloe, Charlotte, Scarlett, Mason, Aiden, Avery, Luke, and James. Aurora asserted: \"it is not the case that (Avery is a devil if and only if A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1049, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 7...
{"split": "train", "index": 12161}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sebastian, Harper, Evelyn, Logan, Benjamin, Henry, Lucas, Noah, and Joseph. Sebastian told you that Benjamin is a knight. Harper stated, \"Logan is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1050, \"statements\": [[\"telling-truth\", 4], [\"lying\", 3], [\"or\", [\"lying\", 1], [\"lying\", 0], [\"telling-truth\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 2], [\"not\", [\"telling...
{"split": "train", "index": 12162}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Aria, Oliver, Jacob, Amelia, Emily, Olivia, Owen, Mason, and Ella. Aria was heard saying, \"Amelia is a hero\". Oliver commented, \"if (Owen is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1051, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 6]], [\"telli...
{"split": "train", "index": 12163}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Amelia, Abigail, Jackson, Michael, Jack, Ava, Aurora, Scarlett, and Evelyn. \"(Amelia is a sinner) and (Jack is a saint and Ava is a sinner and Evely...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1052, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 5], [\"lying\", 8], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 6]], [\"and\", [\"tell...
{"split": "train", "index": 12164}
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, Scarlett, Victoria, David, Charlotte, Abigail, Ella, Harper, and William. Mia noted, \"(if William is a sage then David is a fool) if and only if (Har...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1053, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"lying\", 4]]], [\"<=>\", [\"lying\", 7], [\"lying\", 4]], [\"not\", [\"lying\", 8]], [\"<=>\", [\"<=>\", [\"tellin...
{"split": "train", "index": 12165}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Benjamin, Penelope, Oliver, Isabella, David, Avery, Harper, Sophia, and Elizabeth. As Benjamin put it, \"it is not the case that (Harper is a knave o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1054, \"statements\": [[\"not\", [\"or\", [\"lying\", 6], [\"lying\", 5], [\"telling-truth\", 1], [\"lying\", 8]]], [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 7]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [...
{"split": "train", "index": 12166}
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, Scarlett, Isabella, Jack, Evelyn, Matthew, James, William, and Liam. According to Oliver, \"(if Matthew is a hero then Isabella is a hero) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1055, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 7], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 5], [\"lying\", 2], [\"lying\", 8]]], [\"->\", [\"not\...
{"split": "train", "index": 12167}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aiden, Chloe, Jacob, Lily, Isabella, Zoey, Amelia, Liam, and Grace. \"(Isabella is a saint or Chloe is a sinner or Jacob is a saint or Chloe is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1056, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 2]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 2]]], [\"->\", [\"a...
{"split": "train", "index": 12168}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aiden, Liam, Elizabeth, Scarlett, Joseph, Jack, Mason, Aria, and Chloe. According to Aiden, \"(if Joseph is a devil then Aria is an angel) and (Elizabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1057, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 2], [\"lying\", 5], [\"lying\", 8]], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 6]]], [\"->\", [\"<...
{"split": "train", "index": 12169}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Mason, Samuel, Alexander, Owen, Avery, Sophia, Ethan, and Jack. \"(if Owen is a knight then Mason is a knight) or Mason is a knight,\" Jacks...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1058, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"lying\", 7], [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6], [\"lying\", 6], [\"lying\", ...
{"split": "train", "index": 12170}
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: Isabella, Riley, Lily, Charlotte, William, Liam, Scarlett, Jacob, and Matthew. \"(Liam is an angel) if and only if William is an angel,\" Isabella decl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1059, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 4]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 1]], [\"and\", [\"telling-...
{"split": "train", "index": 12171}
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, Abigail, Zoey, Lucas, Emma, Owen, Scarlett, Jackson, and Olivia. Avery asserted: \"(Owen is an altruist) and (Zoey is an egoist)\". Abig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1060, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]], [\"lying\", 7]], [\"<=>\", [\"and\", [\"lyin...
{"split": "train", "index": 12172}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aiden, James, Emily, Ava, Joseph, Ethan, Mia, David, and Charlotte. Aiden said that Joseph is a knave or (Ava is a knight if and only if Charlotte is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1061, \"statements\": [[\"or\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"lying\", 8], [\"and\", [\"not\", [\"telling-truth\", 8...
{"split": "train", "index": 12173}
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: James, Oliver, Avery, Matthew, Zoey, Ethan, Ava, Alexander, and Penelope. James noted, \"(Ava is a pioneer or Zoey is a laggard) and (if Avery ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1062, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 0], [\"lyi...
{"split": "train", "index": 12174}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Mason, Sebastian, Sofia, Liam, Victoria, Chloe, Zoey, William, and Emily. Mason was heard saying, \"(Sebastian is a knave and Victoria is a knave) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1063, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 7], [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 1]], [\"lying\", 3], [\"and\", [\"lying\", 5], [\"telling-truth\...
{"split": "train", "index": 12175}
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: Sebastian, Evelyn, Grace, Henry, Samuel, Isabella, James, Luke, and Lucas. Sebastian expressed that Evelyn is a laggard. Evelyn said, \"(Lucas ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1064, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 8]], [\"->...
{"split": "train", "index": 12176}
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: Oliver, Ava, Amelia, Sophia, Abigail, Mia, Lily, Ella, and Matthew. As Oliver put it, \"if (Sophia is a saint) then (Mia is a sinner and Lily is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1065, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 5], [\"telling-truth\", 6], [\"telling-truth\", 8], [\"lying\", 7]]], [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"not\", [\"lying\"...
{"split": "train", "index": 12177}
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: Jacob, Grace, Abigail, Matthew, Aiden, Daniel, William, Jack, and Riley. Jacob said that if (Jack is a knave or Aiden is a knave or Daniel is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1066, \"statements\": [[\"->\", [\"or\", [\"lying\", 7], [\"lying\", 4], [\"lying\", 5], [\"lying\", 1]], [\"lying\", 6]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 4]]],...
{"split": "train", "index": 12178}
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, Sofia, Matthew, Luke, Abigail, Evelyn, Sophia, Daniel, and Mia. Liam expressed that (Daniel is a knave if and only if Luke is a knight) and (Mi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1067, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"or\", [\"or\", [\"telling-truth\", 5...
{"split": "train", "index": 12179}
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, Jack, Owen, Riley, Noah, Sofia, Victoria, Mia, and Aurora. Alexander remarked, \"(if Riley is a saint then Mia is a sinner) and (Jack is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1068, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 7], [\"telling-truth\", 4]], [...
{"split": "train", "index": 12180}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: James, Charlotte, Amelia, Liam, Noah, Michael, Logan, Elizabeth, and Emily. As James put it, \"Elizabeth is an altruist or (if Emily is an egoi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1069, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"->\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\...
{"split": "train", "index": 12181}
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: Riley, Alexander, Joseph, Jack, Matthew, Samuel, Abigail, Avery, and Aiden. \"Jack is an egoist,\" Riley mentioned. Alexander asserted: \"(Abig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1070, \"statements\": [[\"lying\", 3], [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 4], [\"lying\", 7], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"<=>\", [\"telling-truth\", 3], [...
{"split": "train", "index": 12182}
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, Amelia, Zoey, Avery, Joseph, Liam, Ava, Samuel, and Emma. \"(if Joseph is a fool then Emma is a sage) and (Liam is a fool and Zoey is a fool) and (Z...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1071, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 8]], [\"and\", [\"lying\", 5], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6], [\"lying\", 8]], [\"not\", [\"lying\", 2]]]...
{"split": "train", "index": 12183}
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, Noah, Scarlett, Avery, Benjamin, Mia, James, Ethan, and Samuel. \"(Scarlett is a knight) or (James is a knave) or Avery is a knave\" - Aurora...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1072, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 6]], [\"lying\", 3]], [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"tel...
{"split": "train", "index": 12184}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Victoria, Luke, Henry, Aiden, Ethan, Isabella, James, Lucas, and Mason. Victoria stated, \"(James is a pioneer if and only if Ethan is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1073, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]], [\"lying\", 6], [\"not\", [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 5]]], [\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]], [...
{"split": "train", "index": 12185}
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, Oliver, Sebastian, Penelope, Jacob, Amelia, Michael, Mia, and Henry. Elizabeth remarked, \"Oliver is a sinner\". Oliver stated, \"Sebastia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1074, \"statements\": [[\"lying\", 1], [\"lying\", 2], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 8]], [\"or\", [\"lying\", 8], [\"lying\", 2], [\...
{"split": "train", "index": 12186}
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: Noah, Scarlett, Emma, David, Jack, Luke, Samuel, Daniel, and Grace. In a statement by Noah: \"(if Noah is a hero then Emma is a hero) or (David is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1075, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"and\", [\"not\", [\"lying\", 0]], [\"and\", [\...
{"split": "train", "index": 12187}
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: Oliver, Mason, Jack, Grace, Matthew, Lily, Charlotte, Aurora, and Luke. According to Oliver, \"Grace is a fool or (if Matthew is a fool then Grace is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1076, \"statements\": [[\"or\", [\"lying\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"telling-truth...
{"split": "train", "index": 12188}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emily, James, Aurora, Chloe, Emma, Ella, Ava, Joseph, and Sofia. As Emily put it, \"Aurora is a fool\". James stated, \"Chloe is a sage\". Aurora was heard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1077, \"statements\": [[\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 5], [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 5], [\"lying\", 4]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"telling-truth\", 6]...
{"split": "train", "index": 12189}
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: Evelyn, Sophia, Liam, Charlotte, Elizabeth, Alexander, Michael, Jackson, and Victoria. According to Evelyn, \"Michael is a pioneer\". Sophia sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1078, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 6], [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 3]]], [\"telling-t...
{"split": "train", "index": 12190}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Alexander, Scarlett, Matthew, Logan, Lucas, Michael, Jacob, Ethan, and Aiden. Alexander asserted: \"Aiden is a sage\". Scarlett expressed that if (Lucas is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1079, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 5]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"telling-trut...
{"split": "train", "index": 12191}
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: Lucas, William, Mason, David, Michael, Victoria, Olivia, Sofia, and Amelia. Lucas remarked, \"it is not the case that (if Sofia is a sinner then Maso...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1080, \"statements\": [[\"not\", [\"->\", [\"lying\", 7], [\"lying\", 2]]], [\"telling-truth\", 6], [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 8]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"tell...
{"split": "train", "index": 12192}
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: Ethan, Mason, Sophia, Henry, Matthew, Emily, Noah, Alexander, and Jack. As Ethan put it, \"if Noah is an altruist then Jack is an altruist\". M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1081, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"->\", [\"lying\", 3], [\"and\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 8], [\"lying...
{"split": "train", "index": 12193}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Oliver, Victoria, Ella, Isabella, Jack, Aurora, Aria, Sophia, and Chloe. Oliver said that Aria is an egoist or (Aurora is an altruist and Ella ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1082, \"statements\": [[\"or\", [\"lying\", 6], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 8]]], [\"lying\", 6], [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"<=>\", [\"lyi...
{"split": "train", "index": 12194}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: William, Elizabeth, Daniel, Sofia, Benjamin, Zoey, Mason, Evelyn, and Jacob. In a statement by William: \"(if Zoey is a laggard then Benjamin i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1083, \"statements\": [[\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 7], [\"lying\", 8], [\"telling-truth\", 3], [\"lying\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 7], [\"tellin...
{"split": "train", "index": 12195}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ethan, Luke, Isabella, Joseph, Riley, Lucas, Zoey, Logan, and Mia. In a statement by Ethan: \"(Lucas is a devil and Zoey is a devil and Luke is an ange...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1084, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 5], [\"lying\", 6], [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 0], ...
{"split": "train", "index": 12196}
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: Joseph, Sofia, Mason, Zoey, Scarlett, Grace, Elizabeth, Liam, and Jacob. According to Joseph, \"(Scarlett is a pioneer or Jacob is a pioneer) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1085, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"lying\", 7], [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"te...
{"split": "train", "index": 12197}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Luke, James, Sebastian, Ethan, Isabella, Liam, Aria, Mia, and Henry. \"Liam is an angel,\" Luke declared. \"Mia is an angel,\" James mentioned. Sebasti...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1086, \"statements\": [[\"telling-truth\", 5], [\"telling-truth\", 7], [\"->\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth...
{"split": "train", "index": 12198}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Henry, Jack, Lily, Evelyn, Chloe, David, Scarlett, James, and Lucas. \"(Jack is a sinner or James is a saint or Evelyn is a saint) and (Evelyn is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1087, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 6], [\"lying\", 4]], [\"->\", [\"telling-truth\", ...
{"split": "train", "index": 12199}