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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Evelyn, Ethan, Joseph, Victoria, Zoey, David, Samuel, Mason, and Chloe. According to Evelyn, \"(if Chloe is a saint then Chloe is a sinner) or David ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 432, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 8]], [\"lying\", 5]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"->\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"and\"...
{"split": "train", "index": 7100}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Victoria, Liam, James, Oliver, Jacob, Benjamin, Evelyn, Jack, and Sophia. In a statement by Victoria: \"Jacob is an egoist\". Liam told you tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 433, \"statements\": [[\"lying\", 4], [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"lying\", 7]], [\"telling-truth\", 8], [\"lying\", 3], [\"telling-truth\...
{"split": "train", "index": 7101}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Sophia, Matthew, Owen, William, Michael, Avery, Logan, Emma, and Olivia. \"Emma is an angel\" - Sophia. Matthew asserted: \"(Emma is an angel and Logan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 434, \"statements\": [[\"not\", [\"lying\", 7]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 6]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 7]...
{"split": "train", "index": 7102}
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, Oliver, Victoria, Jack, William, Liam, Evelyn, Daniel, and Mason. Logan asserted: \"Evelyn is a sinner or (Jack is a saint if and only if Maso...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 435, \"statements\": [[\"or\", [\"lying\", 6], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"<=>\", [\"lying\", 5], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 0]...
{"split": "train", "index": 7103}
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, Riley, Owen, Abigail, Penelope, Lucas, Charlotte, Chloe, and Jacob. Mason commented, \"Jacob is an egoist\". Riley said, \"(Jacob is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 436, \"statements\": [[\"lying\", 8], [\"and\", [\"not\", [\"lying\", 8]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 0]], [\"lying\", 5]], [\"->\", [\"->\", [\"telling-truth\", 6], [\"l...
{"split": "train", "index": 7104}
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: Jack, Charlotte, Isabella, Avery, Aiden, James, Ava, Luke, and Olivia. Jack noted, \"(Aiden is a saint if and only if Isabella is a sinner) or (Olivi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 437, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"telling-truth\", 3]],...
{"split": "train", "index": 7105}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Olivia, Evelyn, Jack, Ella, Sophia, Mason, Lily, Ethan, and Emily. \"it is not the case that (if Ethan is a villain then Ethan is a hero),\" Olivia m...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 438, \"statements\": [[\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"lying\", 4]], [\"lying\", 3], [\"telling-truth\", 6], [\"not\", [\"and\", [\"lying\", 1], [\"telling-tr...
{"split": "train", "index": 7106}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Avery, Isabella, Jackson, Elizabeth, Matthew, Mia, Victoria, Aurora, and Sebastian. \"Sebastian is a sinner or (Aurora is a sinner),\" Avery claimed....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 439, \"statements\": [[\"or\", [\"lying\", 8], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"->\", [\...
{"split": "train", "index": 7107}
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, Jackson, Sebastian, Penelope, Evelyn, Lily, Joseph, Scarlett, and Chloe. Aiden remarked, \"(if Chloe is a fool then Jackson is a sage) and Sebastian...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 440, \"statements\": [[\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"lying\", 4], [\"not\", [\"lying\", 0]], [\"and\...
{"split": "train", "index": 7108}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Olivia, Jack, David, Aiden, Zoey, Michael, Matthew, Scarlett, and Benjamin. Olivia noted, \"if (Benjamin is a devil) then (Aiden is a devil or David is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 441, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 0]]]...
{"split": "train", "index": 7109}
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: Henry, Matthew, Samuel, Mia, Scarlett, Evelyn, William, Noah, and Olivia. \"(Matthew is a villain and Scarlett is a villain) if and only if (Samuel i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 442, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 1], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 7]], [\"not\"...
{"split": "train", "index": 7110}
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, Ava, Charlotte, Jackson, William, Elizabeth, David, Owen, and Grace. Daniel said, \"Owen is a sinner.\" Ava stated, \"Grace is a saint\". Cha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 443, \"statements\": [[\"lying\", 7], [\"not\", [\"lying\", 8]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]], [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"or\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"o...
{"split": "train", "index": 7111}
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, Jacob, Lily, Jackson, Zoey, Luke, James, Elizabeth, and Penelope. Evelyn stated, \"(Zoey is a sage if and only if Luke is a sage) and Lily is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 444, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"lying\", 2]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 0]]], [\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", ...
{"split": "train", "index": 7112}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emma, Lucas, Jacob, Benjamin, Ava, Riley, Luke, Sebastian, and Jack. Emma remarked, \"Sebastian is a sinner\". Lucas remarked, \"(Benjamin is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 445, \"statements\": [[\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 0]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\",...
{"split": "train", "index": 7113}
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: Penelope, Scarlett, Elizabeth, Jackson, Joseph, Abigail, Lucas, Samuel, and Ella. As Penelope put it, \"if (Penelope is an egoist) then (Elizab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 446, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 8]], [\"or\", [\"lying\", 7], [\"telling-truth\", 8]]]...
{"split": "train", "index": 7114}
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: Penelope, Ava, Jackson, Sofia, Aurora, Matthew, Noah, Emily, and Logan. Penelope told you that (Logan is an altruist) if and only if Matthew is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 447, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 8]], [\"telling-truth\", 5]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"...
{"split": "train", "index": 7115}
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, Zoey, Jackson, Scarlett, Samuel, Penelope, Emily, Mia, and Olivia. Aiden remarked, \"it is not the case that (Zoey is a sinner)\". \"if (Aiden...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 448, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 5]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"not\", [\"->\", [\"lying\", 7...
{"split": "train", "index": 7116}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Michael, Samuel, Logan, Ava, Zoey, Scarlett, Emily, Sebastian, and Sophia. Michael remarked, \"Scarlett is a knave\". Samuel said that if (Michael is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 449, \"statements\": [[\"lying\", 5], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"not\", [\"lying\", 3]]], [\"->\", [\"lying\", 7], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 2]...
{"split": "train", "index": 7117}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ella, Charlotte, Joseph, Liam, Matthew, Logan, Jack, James, and Scarlett. \"it is not the case that (if Joseph is a fool then Scarlett is a sage),\" Ella c...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 450, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 8]]], [\"telling-truth\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 7], [\"lying\", 3]]],...
{"split": "train", "index": 7118}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sofia, Oliver, Avery, Elizabeth, Aiden, Joseph, Logan, Evelyn, and Olivia. \"(Aiden is a knave if and only if Evelyn is a knave) or (Sofia is a knigh...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 451, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 7]], [\"or\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"and\", [\"not\", [\"lying\", 1]], [\...
{"split": "train", "index": 7119}
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: Zoey, Alexander, Riley, Harper, Jackson, Aiden, Chloe, Amelia, and Scarlett. \"(Scarlett is a pioneer or Alexander is a laggard) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 452, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 1]], [\"not\", [\"lying\", 7]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"->\", [\"not\", [...
{"split": "train", "index": 7120}
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: Alexander, Penelope, Emma, Mason, Emily, Ava, Daniel, Elizabeth, and Luke. Alexander was heard saying, \"(Penelope is an egoist and Penelope is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 453, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"telling-truth\", 3], [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"l...
{"split": "train", "index": 7121}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jacob, Chloe, Charlotte, Lucas, Evelyn, David, Samuel, Jackson, and Sophia. Jacob expressed that Lucas is a sage. Chloe remarked, \"(Jacob is a fool) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 454, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 8]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"...
{"split": "train", "index": 7122}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Harper, Henry, Oliver, Isabella, Alexander, Liam, Jack, Riley, and Olivia. In Harper's words: \"Oliver is a pioneer\". Henry said, \"it is not ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 455, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"...
{"split": "train", "index": 7123}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Victoria, Avery, Olivia, Riley, William, Emily, Michael, Ava, and Lucas. As Victoria put it, \"it is not the case that (Michael is a saint)\". Avery ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 456, \"statements\": [[\"not\", [\"not\", [\"lying\", 6]]], [\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], ...
{"split": "train", "index": 7124}
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, Amelia, Ava, Evelyn, Lily, Owen, Harper, Matthew, and Noah. According to Joseph, \"(if Evelyn is a pioneer then Noah is a pioneer) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 457, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"and\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 5], ...
{"split": "train", "index": 7125}
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: Logan, David, Jackson, Aiden, Joseph, William, Mason, Penelope, and Henry. In a statement by Logan: \"Aiden is a devil\". David asserted: \"Joseph is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 458, \"statements\": [[\"lying\", 3], [\"telling-truth\", 4], [\"and\", [\"lying\", 6], [\"->\", [\"lying\", 6], [\"lying\", 3]]], [\"lying\", 0], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 7]], [\"<=>\", [\"<=>\...
{"split": "train", "index": 7126}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jacob, Avery, Lucas, Abigail, Daniel, Olivia, Isabella, Ava, and Jack. Jacob said that it is not the case that (if Abigail is a villain then Olivia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 459, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"lying\", 5]]], [\"or\", [\"not\", [\"lying\", 6]], [\"or\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6...
{"split": "train", "index": 7127}
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: Scarlett, Elizabeth, Lucas, Jack, Victoria, Aurora, Joseph, Mia, and Chloe. Scarlett commented, \"(if Mia is a sage then Lucas is a fool) and (if Lucas is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 460, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 6]]], [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 1]], [\"->\", [\"lying\", 7], [\"telling-trut...
{"split": "train", "index": 7128}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Henry, Isabella, James, Jack, Aurora, Chloe, Charlotte, Emma, and David. Henry expressed that (David is a knave or Isabella is a knight) or (Aurora i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 461, \"statements\": [[\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\...
{"split": "train", "index": 7129}
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, Ella, Jacob, Michael, Sophia, Samuel, Evelyn, Scarlett, and James. Ethan commented, \"it is not the case that (Sophia is an egoist if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 462, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 6]]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 7]], [\...
{"split": "train", "index": 7130}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Grace, Olivia, Henry, Michael, Aiden, Aria, Aurora, Luke, and Harper. Grace told you that if (Aria is a villain if and only if Luke is a hero) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 463, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"and\", [\"lying\", 2], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], ...
{"split": "train", "index": 7131}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: James, Henry, Lily, Grace, Sophia, Avery, Daniel, Olivia, and Samuel. \"(if Lily is an altruist then Olivia is an egoist) if and only if (Lily ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 464, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 7]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 2]], [\"telling-truth\", 8]], [\"and\"...
{"split": "train", "index": 7132}
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: Liam, Sophia, David, Victoria, Emily, Mason, Samuel, Luke, and Alexander. Liam expressed that (Victoria is a pioneer and Emily is a laggard) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 465, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 7]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]...
{"split": "train", "index": 7133}
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: Jacob, Ethan, Ella, Lucas, Zoey, Luke, Abigail, Lily, and Sophia. Jacob commented, \"Ethan is a devil or (Zoey is a devil)\". \"Luke is a devil,\" Etha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 466, \"statements\": [[\"or\", [\"lying\", 1], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 5], [\"telling-truth\", 7], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 6]], [\"lying\", 1], [\"->\", [\...
{"split": "train", "index": 7134}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Mia, Henry, Owen, Ella, Daniel, Riley, Jackson, David, and William. \"Jackson is a pioneer,\" Mia mentioned. \"(Jackson is a pioneer or Owen is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 467, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 2]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 1]], [\"and\"...
{"split": "train", "index": 7135}
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: Jacob, Aurora, Lucas, Abigail, Isabella, Oliver, Olivia, Scarlett, and Luke. \"(Isabella is an angel) and (Olivia is a devil or Scarlett is an angel),\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 468, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 7]], [\"not\", [\"lying\", 2]]], [\"or\", [\"or\", [\"telling...
{"split": "train", "index": 7136}
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, Jackson, Emily, Harper, Zoey, Aiden, William, Sophia, and James. \"if (Emily is a knave and Jackson is a knight) then (Sophia is a knight ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 469, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"t...
{"split": "train", "index": 7137}
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, Elizabeth, Ava, Charlotte, Emily, Jacob, Isabella, Ella, and Owen. In Oliver's words: \"if (Jacob is a villain and Charlotte is a villain) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 470, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"lying\", 3]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"and\", [\"telling-truth\", 3], [\"not\", [\"lying\", 5]]], [\"->\", [\"telling-truth\", 5], [\"->...
{"split": "train", "index": 7138}
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, Alexander, Ella, Ava, Daniel, Matthew, Mason, Aiden, and Michael. Jackson told you that (Michael is a laggard if and only if Mason is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 471, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]], [\"telling-truth\", 7]], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"or\", [\"->\", [\"...
{"split": "train", "index": 7139}
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: Evelyn, Jackson, Aiden, Zoey, Charlotte, Emily, Jack, Ethan, and Elizabeth. Evelyn commented, \"if (Zoey is a knave) then (Ethan is a knight if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 472, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lyin...
{"split": "train", "index": 7140}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ethan, Victoria, Aiden, Charlotte, Evelyn, Alexander, Aria, Avery, and Jack. \"if (Evelyn is a pioneer and Charlotte is a pioneer) then (Evelyn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 473, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"ly...
{"split": "train", "index": 7141}
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: Aurora, James, Isabella, Chloe, David, Benjamin, Zoey, Sophia, and Grace. Aurora remarked, \"if Chloe is an egoist then (Isabella is an egoist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 474, \"statements\": [[\"->\", [\"lying\", 3], [\"and\", [\"lying\", 2], [\"lying\", 8]]], [\"telling-truth\", 8], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\...
{"split": "train", "index": 7142}
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, Isabella, Abigail, Luke, Michael, Emily, Emma, Sebastian, and Penelope. Mason said, \"it is not the case that (Sebastian is an altruist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 475, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 6]], [\"lying\", 7]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-tr...
{"split": "train", "index": 7143}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ella, Penelope, Jacob, Victoria, William, Harper, Charlotte, Avery, and Chloe. \"if (if Avery is a saint then Harper is a saint) then (Charlotte is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 476, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\"...
{"split": "train", "index": 7144}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: William, Victoria, Oliver, Abigail, Emma, Alexander, Samuel, Amelia, and Sophia. \"Oliver is a sinner,\" William declared. \"Sophia is a saint and Ab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 477, \"statements\": [[\"lying\", 2], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 5]]], [\"lying\", 6], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 8]], ...
{"split": "train", "index": 7145}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Noah, David, Mason, Zoey, Isabella, Emma, Owen, Victoria, and Emily. Noah commented, \"(if Zoey is an altruist then Isabella is an egoist) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 478, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 7]]], [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 5]]], [\"or\", [\"->\", [\"...
{"split": "train", "index": 7146}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mia, Ella, Noah, Jacob, Daniel, Oliver, Amelia, Logan, and Samuel. Mia noted, \"Mia is an altruist\". \"(if Noah is an altruist then Ella is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 479, \"statements\": [[\"telling-truth\", 0], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 8], [\"lying\", 3]]], [\"telling-truth\", 0], [\"->\", [\"lying\", 1], [\"or\", [\"lying\",...
{"split": "train", "index": 7147}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ella, Charlotte, Sofia, Emma, Henry, Ethan, Daniel, Scarlett, and Luke. \"(Charlotte is a villain) if and only if (Ethan is a villain if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 480, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 7], [\"l...
{"split": "train", "index": 7148}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Oliver, Chloe, Aria, Jacob, Sophia, Ethan, Henry, Sebastian, and Matthew. Oliver was heard saying, \"(Sebastian is a laggard and Oliver is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 481, \"statements\": [[\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 0]], [\"lying\", 1]], [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"telling-truth\", 6], [\"or\", [\"not\", [\"telling-tru...
{"split": "train", "index": 7149}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jacob, Olivia, Aria, Avery, Chloe, Lily, Samuel, Amelia, and Matthew. As Jacob put it, \"Matthew is a sinner or Avery is a saint\". Olivia expressed ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 482, \"statements\": [[\"or\", [\"lying\", 8], [\"telling-truth\", 3]], [\"telling-truth\", 2], [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 7], [\"lying\", 1]]], [\"telling-truth\", 7], [\"->\", [\"lying\...
{"split": "train", "index": 7150}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Avery, Luke, Noah, Lucas, Aurora, Isabella, Chloe, Ethan, and Ella. \"it is not the case that (Luke is a sinner),\" Avery mentioned. Luke stated, \"L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 483, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 1], [\"telling-truth\", 3], [\"<=>\", [\"lying\", 0], [\"or\", [\"lying\", 2], [\"lying\", 6]]],...
{"split": "train", "index": 7151}
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, William, Lily, Samuel, Emma, Luke, Charlotte, Harper, and Michael. Oliver noted, \"(William is a saint and Emma is a saint) and (Lily is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 484, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 7...
{"split": "train", "index": 7152}
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: Logan, Aria, Zoey, James, Evelyn, William, Henry, Liam, and Charlotte. According to Logan, \"(Liam is a villain and Zoey is a hero) or (if Logan is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 485, \"statements\": [[\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"and\", [\"te...
{"split": "train", "index": 7153}
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, Logan, James, Aiden, Charlotte, Sophia, Scarlett, Owen, and Jackson. In a statement by Oliver: \"(Owen is a hero if and only if Jackson is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 486, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"and\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 8]], [\"or\", [\"lying\", 3]...
{"split": "train", "index": 7154}
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: Victoria, Olivia, Luke, Logan, Elizabeth, Sebastian, Aurora, Michael, and Isabella. Victoria said that Aurora is a hero or (Michael is a villain and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 487, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"and\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"and\"...
{"split": "train", "index": 7155}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Oliver, Sofia, Penelope, Mason, Olivia, Liam, Zoey, Amelia, and Emma. Oliver commented, \"it is not the case that (Sofia is a pioneer and Emma ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 488, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"telling-truth\", 5], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 7], [\"lying\", 1]]], ...
{"split": "train", "index": 7156}
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: Ava, Emma, David, Amelia, Scarlett, Riley, Daniel, Abigail, and Owen. \"(Riley is a hero and Scarlett is a hero) and Scarlett is a villain,\" Ava dec...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 489, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"lying\", 4]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 6], [\"telling-truth...
{"split": "train", "index": 7157}
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: Avery, David, Mia, Henry, James, Noah, Daniel, Emily, and Evelyn. \"(James is a devil if and only if Evelyn is an angel) or (David is a devil),\" Avery...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 490, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"lying\", 6], [\"lying\", 0]], [\"<=>\", [\"lying\", 8], [\"lying\", 3]]], [\"->\", [\"a...
{"split": "train", "index": 7158}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: James, Jackson, Amelia, Mia, Zoey, Olivia, Noah, Samuel, and Sebastian. In a statement by James: \"(Noah is a knight if and only if Jackson is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 491, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 1]], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth...
{"split": "train", "index": 7159}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: William, Liam, Benjamin, Mason, Aiden, Jack, Matthew, Lucas, and Riley. \"Liam is a devil\" - William. \"if (Riley is an angel and Liam is an angel) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 492, \"statements\": [[\"lying\", 1], [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 0]]], [\"or\", [\"lying\", 1], [\"not\", [\"tel...
{"split": "train", "index": 7160}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Charlotte, Scarlett, Oliver, Noah, Matthew, Joseph, Aiden, Jacob, and Liam. \"(if Oliver is an angel then Scarlett is a devil) if and only if (Liam is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 493, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"and\", [\"telling-trut...
{"split": "train", "index": 7161}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Elizabeth, Isabella, Lily, Logan, Samuel, Noah, Aiden, William, and Zoey. Elizabeth asserted: \"Logan is a devil\". Isabella was heard saying, \"(Aiden...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 494, \"statements\": [[\"lying\", 3], [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"or\", [\"lying\", 8], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"lying\", 3]], [\"->\", [\"lyin...
{"split": "train", "index": 7162}
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, Sofia, Grace, Aria, Ella, Lily, Noah, Henry, and Ava. Evelyn said, \"if (Henry is an angel and Evelyn is an angel) then (Henry is an angel).\" ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 495, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"not\", [\"lying\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 5], [\"lying\", 3]]...
{"split": "train", "index": 7163}
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: Abigail, Ella, Chloe, Joseph, Riley, Evelyn, Owen, Sebastian, and Jackson. Abigail expressed that (Evelyn is a laggard if and only if Joseph is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 496, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"lying\", 7]], [\"or\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 7]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [...
{"split": "train", "index": 7164}
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, Aurora, Harper, Emma, Sophia, Emily, Grace, David, and Logan. \"if (Emily is a knave if and only if David is a knave) then (Harper is a knave),\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 497, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 5], [\"lying\", 7]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"not\", [\"telling-truth\", 6]], [\"and\", [\...
{"split": "train", "index": 7165}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Michael, Olivia, Sophia, Grace, William, Alexander, Ella, Lucas, and Riley. In a statement by Michael: \"(Alexander is an angel and William is an angel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 498, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 8]], [\"<=>\", [\"->\", [\"l...
{"split": "train", "index": 7166}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Oliver, Samuel, Chloe, Matthew, Mason, Riley, Benjamin, Evelyn, and Lily. Oliver said that Mason is a laggard or (if Chloe is a laggard then Be...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 499, \"statements\": [[\"or\", [\"lying\", 4], [\"->\", [\"lying\", 2], [\"lying\", 6]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 7]], [\"or\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"ly...
{"split": "train", "index": 7167}
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, Michael, Jackson, Avery, Aurora, Ava, Mia, Lily, and Victoria. Sebastian commented, \"Aurora is an altruist or (if Lily is an altrui...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 500, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 7], [\"lying\", 1]]], [\"and\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"telling-tr...
{"split": "train", "index": 7168}
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: Ella, Samuel, Emily, Aria, Emma, Jacob, Lucas, James, and Harper. Ella told you that Aria is an egoist and (Samuel is an altruist and Emily is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 501, \"statements\": [[\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]]], [\"not\", [\"->\", [\"t...
{"split": "train", "index": 7169}
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: David, Oliver, Avery, Luke, Charlotte, Lucas, Isabella, Alexander, and Abigail. According to David, \"(Alexander is a villain) or (Avery is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 502, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 7], [\"lying\", 3]]], [\"o...
{"split": "train", "index": 7170}
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, Jack, Aurora, Ethan, Michael, Benjamin, Harper, Charlotte, and Alexander. In Evelyn's words: \"Michael is a sage or (Harper is a fool if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 503, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]], [\"lying\", 8]], [\"lying\", 1], [\"<=>\", [\"->\", [\"telli...
{"split": "train", "index": 7171}
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: Henry, Zoey, Sebastian, Lily, Luke, Aria, Ethan, Owen, and Penelope. Henry stated, \"if (Zoey is a villain) then (Sebastian is a hero if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 504, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\...
{"split": "train", "index": 7172}
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, Grace, Isabella, Lily, Ella, Sebastian, Evelyn, Penelope, and Oliver. In a statement by Aiden: \"it is not the case that (Evelyn is a fool and Aiden...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 505, \"statements\": [[\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"telling-t...
{"split": "train", "index": 7173}
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: Benjamin, Amelia, Samuel, Liam, William, Ava, Aiden, Avery, and James. Benjamin said that (Ava is an angel and Amelia is an angel) or (Ava is a devil)....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 506, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"n...
{"split": "train", "index": 7174}
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: Jack, Luke, Mason, Jacob, James, David, Noah, Emma, and Mia. Jack commented, \"it is not the case that (Jack is an altruist or Mia is an altrui...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 507, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 7]], [\"not\", [\"lying\", 8]]], [\"telling-truth\", 8], [\"or\", [\"->\", [\"l...
{"split": "train", "index": 7175}
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: Mason, Amelia, William, Lily, Alexander, Victoria, Emma, Charlotte, and Avery. Mason said, \"Lily is an angel if and only if (Victoria is an angel).\" ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 508, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"not\", [\"lying\", 5]]], [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"->\", [\"telling-t...
{"split": "train", "index": 7176}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emily, Lucas, Jackson, Luke, Aiden, Benjamin, Victoria, Abigail, and Noah. \"Benjamin is a hero,\" Emily mentioned. Lucas told you that it is not the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 509, \"statements\": [[\"telling-truth\", 5], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\"...
{"split": "train", "index": 7177}
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: Grace, Ella, Jackson, Luke, Elizabeth, Abigail, Alexander, Evelyn, and Mason. Grace stated, \"Alexander is an angel and Ella is a devil\". Ella asserte...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 510, \"statements\": [[\"and\", [\"telling-truth\", 6], [\"lying\", 1]], [\"->\", [\"not\", [\"lying\", 6]], [\"not\", [\"lying\", 0]]], [\"->\", [\"and\", [\"lying\", 6], [\"lying\", 7]], [\"or\", [\"lying\", 6], [\"lying\", ...
{"split": "train", "index": 7178}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Chloe, Jacob, Lily, Sofia, Ethan, Alexander, Abigail, Penelope, and Mason. \"it is not the case that (Ethan is a devil or Jacob is a devil),\" Chloe de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 511, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"lying\", 5], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"<=>\", [\"and\", [\"...
{"split": "train", "index": 7179}
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, Owen, William, Harper, Emma, Evelyn, Olivia, Scarlett, and Michael. \"(Harper is an angel or Scarlett is an angel) or (Jack is an angel if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 512, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"->\", [\"tell...
{"split": "train", "index": 7180}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Amelia, Sophia, Evelyn, Lucas, Avery, Ella, Jackson, Olivia, and Abigail. Amelia stated, \"(Evelyn is a knave and Ella is a knight) if and only if So...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 513, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 5]], [\"lying\", 1]], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"not\", [\"telling-...
{"split": "train", "index": 7181}
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: Sofia, Oliver, David, Jackson, Michael, Amelia, Luke, Chloe, and Matthew. Sofia said, \"if (Chloe is an altruist or Matthew is an altruist) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 514, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]]], [\"lying\", 3], [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 7]], [\"->\",...
{"split": "train", "index": 7182}
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, Emily, Joseph, Evelyn, Henry, Avery, Samuel, Benjamin, and Noah. \"it is not the case that (if Henry is a pioneer then Emily is a lagg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 515, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"telling-truth\", 0], [\"<=>...
{"split": "train", "index": 7183}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Daniel, Harper, Mia, Ethan, Avery, Sofia, Alexander, Sebastian, and Charlotte. Daniel was heard saying, \"(Alexander is a villain and Sofia is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 516, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 5]], [\"not\", [\"lying\", 1]]], [\"not\", [\"telling-truth\", 5]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 5]], [\"...
{"split": "train", "index": 7184}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ava, Jack, Joseph, Scarlett, Sebastian, James, Mason, Noah, and Benjamin. Ava told you that (Scarlett is a sage if and only if Joseph is a sage) and (James...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 517, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 5]]], [\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 7], [\"tell...
{"split": "train", "index": 7185}
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, Emily, Mason, Scarlett, Jack, Joseph, Amelia, Aurora, and Lucas. Jacob said, \"Amelia is a knave.\" Emily was heard saying, \"(Aurora is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 518, \"statements\": [[\"lying\", 6], [\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 7]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"and...
{"split": "train", "index": 7186}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aria, Jackson, Henry, Grace, Emma, Penelope, William, Charlotte, and Scarlett. \"Emma is a knave,\" Aria claimed. Jackson stated, \"Aria is a knave\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 519, \"statements\": [[\"lying\", 4], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"and\", [\"lying\", 8], [\"lying\", 5]]], [\"and\", [\"and\", [\"lying\", 5], [\"lyi...
{"split": "train", "index": 7187}
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, Harper, Jackson, Avery, Evelyn, Jack, Penelope, Mason, and Aiden. Lily told you that (Evelyn is an altruist and Penelope is an altruist) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 520, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 2], [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"...
{"split": "train", "index": 7188}
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, Lucas, Matthew, Zoey, Alexander, Joseph, Abigail, Emily, and Aurora. \"it is not the case that (Emily is an altruist and Aurora is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 521, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 4]]], [\"lying\", 7], [\"and\", [\"telling-truth\", 4], [\"and\", [\"telling-tr...
{"split": "train", "index": 7189}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Lily, Sofia, Grace, Ava, James, Zoey, Lucas, Henry, and Logan. \"(Logan is a sinner if and only if James is a sinner) or (Logan is a saint if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 522, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"lying\", 5], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"tel...
{"split": "train", "index": 7190}
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: Victoria, Sebastian, Harper, Henry, Michael, Daniel, Scarlett, Samuel, and Jack. Victoria noted, \"it is not the case that (if Harper is a villain th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 523, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 7], [\"and\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 3]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"<...
{"split": "train", "index": 7191}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mason, Sebastian, Isabella, Logan, Lily, Ella, Mia, Jackson, and Aurora. \"if (Mia is a villain and Isabella is a villain) then (Logan is a villain)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 524, \"statements\": [[\"->\", [\"and\", [\"lying\", 6], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 6], [\"telling-tru...
{"split": "train", "index": 7192}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mia, Aria, Elizabeth, Benjamin, Noah, Sebastian, Michael, James, and Joseph. Mia expressed that if James is an altruist then (if Elizabeth is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 525, \"statements\": [[\"->\", [\"telling-truth\", 7], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]], [\"lying\", 6], [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"lyin...
{"split": "train", "index": 7193}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Victoria, Scarlett, Ethan, Sofia, Lily, Zoey, David, William, and Amelia. In a statement by Victoria: \"it is not the case that (if Sofia is a fool then Et...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 526, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]...
{"split": "train", "index": 7194}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Zoey, Sofia, Ethan, Oliver, Scarlett, Victoria, Ella, Owen, and Abigail. In Zoey's words: \"Ethan is a hero\". In Sofia's words: \"Victoria is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 527, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"->\", [\"or\", [\"lyin...
{"split": "train", "index": 7195}
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: Riley, Mia, Jack, Harper, Penelope, David, Owen, Isabella, and Victoria. Riley expressed that Owen is a villain if and only if (Jack is a hero and Vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 528, \"statements\": [[\"<=>\", [\"lying\", 6], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8]]], [\"lying\", 6], [\"telling-truth\", 8], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"lying\"...
{"split": "train", "index": 7196}
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: Olivia, Samuel, Luke, Mia, Aiden, Avery, Chloe, Oliver, and Amelia. \"Mia is a pioneer,\" Olivia declared. \"(Avery is a pioneer and Mia is a p...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 529, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]], [\...
{"split": "train", "index": 7197}
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, Lily, Noah, Penelope, Avery, Ethan, Oliver, Samuel, and Scarlett. David remarked, \"(Ethan is a sage and Oliver is a sage) and (Avery is a fool and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 530, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 8], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], ...
{"split": "train", "index": 7198}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: James, Michael, Chloe, Logan, Daniel, Zoey, Samuel, Sophia, and Abigail. \"if (Daniel is a saint and Chloe is a sinner) then (Samuel is a saint),\" J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 531, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 6]]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 6]], [\"not\", [\"lying\", 8]], [\"and\", [\"and\", ...
{"split": "train", "index": 7199}