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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, Abigail, Benjamin, Samuel, Riley, Lucas, Owen, Harper, and Jacob. Elizabeth told you that Abigail is a devil and (if Samuel is an angel then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 588, \"statements\": [[\"and\", [\"lying\", 1], [\"->\", [\"telling-truth\", 3], [\"lying\", 6]], [\"->\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1]...
{"split": "train", "index": 11700}
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: Grace, Lucas, Evelyn, Aiden, Emma, Samuel, Avery, Michael, and Emily. Grace was heard saying, \"(Samuel is an egoist and Emma is an altruist an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 589, \"statements\": [[\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 6]], [\"telling-truth\", 7]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 6], [\"telling-truth\", 2]], [\...
{"split": "train", "index": 11701}
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, Jacob, Sofia, Ethan, James, Isabella, Zoey, Evelyn, and Emma. In a statement by Victoria: \"(if James is an egoist then Emma is an eg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 590, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"lying\", 8]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"ly...
{"split": "train", "index": 11702}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Charlotte, Chloe, Emma, Olivia, Grace, Lucas, Ethan, Joseph, and Harper. In a statement by Charlotte: \"(if Ethan is a knave then Joseph is a knave) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 591, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 7]], [\"->\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 5],...
{"split": "train", "index": 11703}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jack, Ethan, Harper, Zoey, Penelope, Evelyn, Isabella, Charlotte, and Logan. Jack said, \"Penelope is a knight.\" Ethan was heard saying, \"(Harper i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 592, \"statements\": [[\"not\", [\"lying\", 4]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"->\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"telling...
{"split": "train", "index": 11704}
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, Lucas, Joseph, Sofia, Liam, Penelope, Lily, Jack, and Owen. \"(Lily is a pioneer if and only if Joseph is a laggard) or (if Penelope i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 593, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]], [\"->\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"and\", [\"not\", [\"lying\", 8]], [\"and\", [\"lying\", 0], [\"lying\", 6], [\"lying\", 8]...
{"split": "train", "index": 11705}
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: Aurora, Isabella, Emma, Harper, Aiden, David, Evelyn, Amelia, and Chloe. \"Evelyn is a hero,\" Aurora declared. Isabella said, \"if (if Aiden is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 594, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 8]], [\"<=>\", [\"lying\", 0], [\"lying\", 8]]], [\"not\", [\"lying\", 1]], [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 8],...
{"split": "train", "index": 11706}
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, Noah, Amelia, Penelope, Jackson, Charlotte, Sofia, Olivia, and Joseph. Ava stated, \"(Charlotte is a sage and Joseph is a fool and Sofia is a fool) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 595, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 8], [\"lying\", 6]], [\"or\", [\"lying\", 5], [\"lying\", 1], [\"telling-truth\", 6]]], [\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]], ...
{"split": "train", "index": 11707}
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: Lucas, Elizabeth, Olivia, Chloe, Sophia, Emma, Noah, Riley, and Aiden. Lucas stated, \"(if Noah is a sage then Riley is a sage) or (Noah is a fool if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 596, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"and\", [\"lying\", 5], [\"->\", [\"telling-truth\", 1], [\"lying\", 5]], [\"tellin...
{"split": "train", "index": 11708}
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, Samuel, Zoey, Mia, Isabella, Victoria, Emily, Aiden, and Joseph. Jack said that if (Mia is an angel or Aiden is an angel or Jack is an angel) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 597, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"or\", [\"lying\", 5], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\...
{"split": "train", "index": 11709}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Aiden, Scarlett, Amelia, Emma, Zoey, Michael, Samuel, David, and Benjamin. Aiden said that Zoey is an altruist. Scarlett commented, \"(Michael ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 598, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 3], [\"lying\", 0]], [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"telling-truth\", 7], [\"lyin...
{"split": "train", "index": 11710}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Mason, Riley, Luke, Victoria, Noah, Mia, Daniel, Aiden, and Ava. \"(Riley is a sage or Luke is a fool) or (Victoria is a sage and Noah is a fool and Victor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 599, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3], [\"lying\", 6]], [\"not\", [\"lying\", 7]], [\"or\", [\"telling-truth\", 3], [\...
{"split": "train", "index": 11711}
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, Riley, Olivia, Chloe, Mason, Aurora, Harper, Scarlett, and Amelia. Aiden stated, \"if (if Aurora is a sinner then Riley is a saint) then (Chlo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 600, \"statements\": [[\"->\", [\"->\", [\"lying\", 5], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"te...
{"split": "train", "index": 11712}
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, Luke, Ethan, Lily, Elizabeth, Charlotte, Logan, Sophia, and Emily. As Avery put it, \"Sophia is an angel\". Luke was heard saying, \"(if Lily is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 601, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"telling-truth\", 7], [\"->\", [\"not\", [\"lying\", 2]], [...
{"split": "train", "index": 11713}
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, Daniel, Benjamin, Sophia, Aiden, Harper, Aurora, James, and Mason. In a statement by Joseph: \"(James is a knight and Harper is a knight and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 602, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 5], [\"lying\", 7], [\"telling-truth\", 0]], [\"lying\", 8]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]], [\"and\", [\"telli...
{"split": "train", "index": 11714}
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, Logan, Ava, Mia, Jacob, James, Amelia, Henry, and Grace. According to Lily, \"(Grace is a hero if and only if Logan is a villain) and Jacob is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 603, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]], [\"telling-truth\", 4], [\"and\", [\"lying\", 6], [\"telling-truth\", 8], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\"...
{"split": "train", "index": 11715}
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: Evelyn, Samuel, Jackson, Penelope, Aurora, Aiden, Harper, Jacob, and Emma. Evelyn said, \"Jacob is a villain.\" As Samuel put it, \"(Aiden is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 604, \"statements\": [[\"lying\", 7], [\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]],...
{"split": "train", "index": 11716}
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, Sebastian, Henry, Aurora, Aria, Owen, Avery, Abigail, and Sophia. William noted, \"Owen is a sinner\". Sebastian asserted: \"(William is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 605, \"statements\": [[\"lying\", 5], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 5]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"or\", [\"or\", [\"telling-truth\", 7], [\"...
{"split": "train", "index": 11717}
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, Riley, William, Jacob, Olivia, Elizabeth, Isabella, Jack, and Emily. \"(Elizabeth is an egoist or Jack is an egoist or Elizabeth is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 606, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 7], [\"telling-truth\", 5], [\"lying\", 8]], [\"->\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 5], [\"or\", [\"lying\", 6], [\"telling-...
{"split": "train", "index": 11718}
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: Olivia, Liam, Owen, Emma, Sofia, Joseph, Abigail, Chloe, and Matthew. As Olivia put it, \"it is not the case that (Emma is a knight or Olivia is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 607, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 4], [\"or\", [\"lying\", 2], [\"lying\", 0], [\...
{"split": "train", "index": 11719}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Chloe, Jackson, Mason, Logan, Abigail, Noah, Matthew, Amelia, and Scarlett. Chloe said that Jackson is an egoist. \"it is not the case that (No...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 608, \"statements\": [[\"lying\", 1], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 2], [\"lying\", 8], [\"lying\", 0]]], [\"lying\", 4], [\"lying\", 5], [\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 8], ...
{"split": "train", "index": 11720}
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: Zoey, Logan, Aiden, Olivia, Aria, Benjamin, Emma, William, and Sofia. \"it is not the case that (Emma is a saint and Olivia is a sinner and Aiden is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 609, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 6]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 8], ...
{"split": "train", "index": 11721}
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: Emma, Samuel, Owen, Penelope, Chloe, Isabella, Luke, Logan, and Grace. \"(Penelope is a laggard or Luke is a pioneer or Isabella is a pioneer o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 610, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 6], [\"telling-truth\", 5], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 5], [\"lying\", 8]]], [\"and\", [\"->\", [\...
{"split": "train", "index": 11722}
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: Ella, Mia, Liam, Oliver, Scarlett, Abigail, Henry, Emma, and Charlotte. As Ella put it, \"Abigail is a knight\". Mia was heard saying, \"(Henry is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 611, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"<=>\", [\"lying\", 8], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]]],...
{"split": "train", "index": 11723}
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, Grace, Lucas, Olivia, Amelia, Samuel, Chloe, Michael, and Emma. Sofia was heard saying, \"(if Amelia is a knight then Lucas is a knave) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 612, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 8], [\"telling-truth\...
{"split": "train", "index": 11724}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mia, James, Aurora, Ava, Elizabeth, Jacob, Ella, Grace, and Jack. Mia told you that (Grace is a villain and Jacob is a hero and Jack is a villain) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 613, \"statements\": [[\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 5], [\"lying\", 8]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 5], [\"lying\", 2]], [\"->\", [\"telling-truth\", ...
{"split": "train", "index": 11725}
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, Mia, Olivia, Ava, Sebastian, Abigail, Emma, Harper, and Riley. Chloe remarked, \"it is not the case that (Sebastian is an angel and Mia is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 614, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 4], [\"telling-truth\", ...
{"split": "train", "index": 11726}
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, Penelope, Sebastian, Emma, Jack, Liam, Logan, Aria, and Mason. \"Mason is a laggard or (if Logan is a pioneer then Aria is a laggard)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 615, \"statements\": [[\"or\", [\"lying\", 8], [\"->\", [\"telling-truth\", 6], [\"lying\", 7]], [\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"...
{"split": "train", "index": 11727}
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, Michael, Scarlett, Matthew, Zoey, Amelia, Aiden, Benjamin, and Aria. Evelyn was heard saying, \"Michael is a sage if and only if Michael is a fool\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 616, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]], [\"<=>\", [\...
{"split": "train", "index": 11728}
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, Avery, Liam, Olivia, Ava, Victoria, Amelia, Scarlett, and Ella. \"(Ava is a knight or Amelia is a knave) or (Avery is a knight if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 617, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 5]], [\"and\", [\"lying\", 2], [...
{"split": "train", "index": 11729}
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: Elizabeth, Ethan, Matthew, Sofia, Benjamin, Noah, Luke, Avery, and Aurora. \"(if Luke is a knight then Avery is a knight) or (if Benjamin is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 618, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"<=>\",...
{"split": "train", "index": 11730}
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, Aria, Joseph, Alexander, Ethan, Henry, Aiden, Luke, and Abigail. In a statement by Evelyn: \"(if Joseph is a knight then Henry is a knave) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 619, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"->\", [\"telli...
{"split": "train", "index": 11731}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Mason, Henry, Alexander, Avery, Michael, Victoria, Ava, Riley, and David. \"(Ava is a laggard if and only if Avery is a laggard) or (Michael is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 620, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 6], [\"telling...
{"split": "train", "index": 11732}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Zoey, Daniel, Sophia, Scarlett, Samuel, Harper, Ethan, Avery, and Jack. According to Zoey, \"Scarlett is a knave\". As Daniel put it, \"Ethan is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 621, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 6], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 5], [\"lying\...
{"split": "train", "index": 11733}
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: Ava, Daniel, Chloe, David, Michael, Zoey, Emily, Logan, and Benjamin. In a statement by Ava: \"Zoey is a laggard\". \"(if Chloe is a laggard th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 622, \"statements\": [[\"lying\", 5], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"lying\", 5], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"tellin...
{"split": "train", "index": 11734}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jack, Joseph, Elizabeth, Charlotte, Zoey, Jackson, Emily, Chloe, and Victoria. Jack commented, \"Charlotte is a knight\". Joseph said, \"(if Emily is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 623, \"statements\": [[\"not\", [\"lying\", 3]], [\"and\", [\"->\", [\"lying\", 6], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"not\", [\"->\",...
{"split": "train", "index": 11735}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Daniel, Henry, Chloe, Michael, Penelope, Sophia, Charlotte, Jack, and Harper. \"(if Daniel is a knight then Henry is a knave) or Charlotte is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 624, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"lying\", 6]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"telling-truth\", 1]], [\"and\", [\"not\", [\"telling-truth...
{"split": "train", "index": 11736}
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: Grace, Joseph, Charlotte, Henry, Sofia, Sophia, Emily, Mason, and Abigail. Grace asserted: \"if (Sophia is an altruist) then (Mason is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 625, \"statements\": [[\"->\", [\"not\", [\"lying\", 5]], [\"or\", [\"lying\", 7], [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 1], [\"telli...
{"split": "train", "index": 11737}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Michael, Chloe, Mason, Noah, Avery, Grace, Scarlett, Lucas, and Olivia. In a statement by Michael: \"(Avery is a hero) or (Noah is a villain if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 626, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 5]], [\"not\", [\"lying\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"not\", [\"lying\", 6]]], [...
{"split": "train", "index": 11738}
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: Aria, Victoria, Luke, Jackson, David, Benjamin, Olivia, Aurora, and Henry. Aria commented, \"if (Aria is a sage and Victoria is a sage and David is a sage)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 627, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], ...
{"split": "train", "index": 11739}
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, Abigail, David, Jacob, Joseph, Oliver, Victoria, Lily, and Emily. As Sebastian put it, \"if (if Joseph is an altruist then Victoria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 628, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"lying\"...
{"split": "train", "index": 11740}
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, Luke, Jacob, Michael, William, Isabella, Aiden, Alexander, and Zoey. Mia told you that Jacob is a pioneer. According to Luke, \"(if Michae...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 629, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"->\", [\"lying\", 3], [\"lying\", 5]]], [\"or\", [\"<=>\", [\"telli...
{"split": "train", "index": 11741}
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, Henry, David, Penelope, William, Lucas, Olivia, Benjamin, and Mia. Oliver was heard saying, \"Benjamin is an altruist if and only if (B...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 630, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]], [\"<=>\", [\"lying\", 8], [\"lying\", 2]]], [\"<=>\", [\"...
{"split": "train", "index": 11742}
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: Lily, Henry, Aiden, Penelope, Logan, Luke, Aurora, Matthew, and James. Lily commented, \"it is not the case that (Henry is a fool)\". Henry was heard sayin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 631, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"lying\", 8], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 8]], [\"telling-truth\", 2], [\"or\", [\"te...
{"split": "train", "index": 11743}
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: Olivia, Matthew, Michael, Owen, Liam, Abigail, Sofia, Samuel, and Aiden. \"Abigail is a knight,\" Olivia claimed. Matthew said that Aiden is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 632, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 8], [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 4], [\"lying\", 7]]], ...
{"split": "train", "index": 11744}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Samuel, Amelia, Noah, Grace, Ava, Charlotte, Mason, Lily, and Jack. Samuel said, \"(Grace is a hero if and only if Mason is a villain) and (if Mason ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 633, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"->\", [\"lying\", 6], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 8], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telli...
{"split": "train", "index": 11745}
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, Joseph, Samuel, Mason, Matthew, Jacob, Olivia, Riley, and Chloe. As Benjamin put it, \"Joseph is a laggard or (Samuel is a laggard or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 634, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 6], [\"lying\", 7]]], [\"->\", [\"and\", [...
{"split": "train", "index": 11746}
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, Sofia, Harper, Isabella, Emma, Ava, Amelia, James, and Lucas. Ella expressed that (Isabella is a hero or Sofia is a villain) and (Sofia is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 635, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 5]]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"->\", [\"lying\", 5], ...
{"split": "train", "index": 11747}
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, Amelia, Isabella, Lily, Evelyn, Penelope, Henry, Owen, and Noah. David said that it is not the case that (Owen is a devil). \"(Owen is an angel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 636, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"or\", [\"lying\", 8], [\"lying\", 6], [\"telling-truth\", 3]]], [\"lying\", 3], [\"tel...
{"split": "train", "index": 11748}
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: Charlotte, Emily, David, William, Evelyn, Alexander, Michael, Olivia, and Ella. In Charlotte's words: \"(William is a sinner or William is a saint) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 637, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 8]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 5], [\"telling-tru...
{"split": "train", "index": 11749}
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: Samuel, Evelyn, Aria, Mia, Jacob, James, Penelope, Avery, and Mason. Samuel noted, \"it is not the case that (James is an angel)\". Evelyn stated, \"Mi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 638, \"statements\": [[\"not\", [\"not\", [\"lying\", 5]]], [\"or\", [\"telling-truth\", 3], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 5], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\...
{"split": "train", "index": 11750}
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: Samuel, Zoey, Alexander, Ava, Matthew, Abigail, Lily, William, and Penelope. \"if (if Matthew is an altruist then Abigail is an altruist) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 639, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"and\", [\"<=>\", [\"t...
{"split": "train", "index": 11751}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Harper, Abigail, William, Ethan, James, Zoey, Jacob, Logan, and Aria. Harper expressed that it is not the case that (if Harper is an angel then Jacob i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 640, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 3], [\"telling-truth\", 7]], [\"or\", [\"lying\", 5], [\"telling-truth\", 7], [...
{"split": "train", "index": 11752}
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, Penelope, Grace, Samuel, Mia, Emily, Joseph, Isabella, and Jacob. Ethan expressed that Isabella is an altruist. In a statement by Penelo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 641, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"lying\", 0], [\"telling-truth\", 1]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"lying\", 1], [\"<=>\", ...
{"split": "train", "index": 11753}
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, Mia, Owen, Oliver, Sebastian, James, Jackson, Luke, and Grace. Aiden commented, \"it is not the case that (Sebastian is an angel and Oliver is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 642, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 7], [\"not\", [\"->\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 7]...
{"split": "train", "index": 11754}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Elizabeth, Isabella, Liam, Mason, Emma, Daniel, Charlotte, Ethan, and Benjamin. Elizabeth was heard saying, \"Daniel is a villain\". Isabella express...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 643, \"statements\": [[\"lying\", 5], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 7], [\"lying\", 1], [\"telling-truth\"...
{"split": "train", "index": 11755}
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: Matthew, Jackson, Ava, Evelyn, Ella, Penelope, Emma, Mason, and James. \"(Evelyn is a sage if and only if Ella is a sage) and (if Evelyn is a fool then Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 644, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 5], [\"telling-truth\", 7]], [\"not\", [\"or\", [\"telling-truth\", 0], [...
{"split": "train", "index": 11756}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Luke, Harper, James, Abigail, David, Jack, Olivia, Matthew, and Victoria. Luke commented, \"David is a fool\". Harper expressed that David is a sage and (O...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 645, \"statements\": [[\"lying\", 4], [\"and\", [\"telling-truth\", 4], [\"or\", [\"lying\", 6], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 8]], [\"->\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"telling-tr...
{"split": "train", "index": 11757}
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: Grace, Luke, Lily, William, Elizabeth, Benjamin, Michael, Ava, and Alexander. Grace commented, \"(Michael is a fool if and only if Benjamin is a sage) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 646, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]], [\"lying\", 2]], [\"telling-truth\", 8], [\"lying\", 0], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", ...
{"split": "train", "index": 11758}
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, David, Owen, Mason, Aiden, Harper, Sebastian, Penelope, and Sophia. \"Penelope is a hero,\" Zoey mentioned. David said, \"(Aiden is a villain a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 647, \"statements\": [[\"telling-truth\", 7], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 6], [\"lying\", 8]]], [\"lying\", 0], [\"telling-truth\", 5], [\"->\", [\"not\", [\"telling-truth\", 2]], ...
{"split": "train", "index": 11759}
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, Logan, Samuel, Harper, Benjamin, Jack, Jacob, Sofia, and James. David told you that (Jack is a villain if and only if James is a hero) and (Sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 648, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 8], [\"->\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"<=>\", [\"->\", [\"telling-...
{"split": "train", "index": 11760}
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, Ava, Mia, Penelope, Matthew, Zoey, Chloe, Emma, and Abigail. \"it is not the case that (Ava is a knave if and only if Abigail is a knight),\" ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 649, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]]], [\"not\", [\"->\", [\"lying\", 6], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 8]], [\"telling-truth\", 0], [\"telling-tru...
{"split": "train", "index": 11761}
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, Michael, Mia, Owen, Victoria, Alexander, Sofia, Amelia, and Scarlett. According to Logan, \"(Mia is a saint if and only if Mia is a sinner) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 650, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"lying\", 7], [\"->\", [\"lying\", 7], [\"lying\", 6]]], [\"->\", [\"not\", [\"telling-truth\",...
{"split": "train", "index": 11762}
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, Benjamin, Jack, Scarlett, Emma, Evelyn, James, Henry, and Charlotte. Logan remarked, \"(if Charlotte is a saint then James is a sinner) or (Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 651, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 6]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"lying\", 4]], [\"not\", [\"or\", [\"telling-truth\", 1], [\...
{"split": "train", "index": 11763}
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, Scarlett, Sebastian, Aiden, Jack, David, Liam, Penelope, and Alexander. Sofia told you that (Penelope is an egoist if and only if Penelo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 652, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]], [\"lying\", 8], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"not\", [\"not\", [\"telling-t...
{"split": "train", "index": 11764}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Scarlett, Jacob, Daniel, Joseph, Emily, Evelyn, Elizabeth, Ava, and Mia. Scarlett stated, \"Ava is a knave or (Elizabeth is a knave if and only if Av...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 653, \"statements\": [[\"or\", [\"lying\", 7], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]], [\"not\", [\"lying\", 6]]], [\"or\", [\"or\", [\"lying\", 7], [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 8]]...
{"split": "train", "index": 11765}
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, Ava, Daniel, Victoria, Jacob, Henry, Penelope, Jackson, and Sofia. Zoey stated, \"(Henry is a villain) or (Jacob is a villain or Henry is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 654, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 4], [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"tellin...
{"split": "train", "index": 11766}
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, Grace, Harper, Matthew, Jack, James, Lucas, Michael, and Emma. Liam told you that if Harper is a knight then Emma is a knave. Grace asserted: \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 655, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"lying\", 8]], [\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 7]], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 8], [\"lying\", 4], [\"not\", [\"->\", [\"lying\", 8]...
{"split": "train", "index": 11767}
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, Amelia, Lily, Samuel, Emily, Chloe, Alexander, Liam, and Luke. As Ella put it, \"(Lily is a hero) if and only if (Alexander is a hero or Alexan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 656, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 6], [\"lying\", 6], [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", ...
{"split": "train", "index": 11768}
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: Liam, Jacob, Sofia, Mason, Aiden, Sebastian, Joseph, Riley, and Aurora. Liam told you that (Sebastian is a fool) and (Aiden is a fool or Joseph is a sage o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 657, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 4], [\"telling-truth\", 6], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4], [\"...
{"split": "train", "index": 11769}
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: Joseph, Chloe, Elizabeth, Sofia, Harper, Sebastian, Isabella, Benjamin, and Amelia. Joseph commented, \"(Benjamin is a hero if and only if Isabella i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 658, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 7], [\"lying\", 1]]], [\"telling-truth\", 0], [\"and\", [\"and\", [\"lying\", ...
{"split": "train", "index": 11770}
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, Henry, Logan, Riley, Aria, Mia, Benjamin, Evelyn, and Amelia. According to Emily, \"(if Benjamin is a villain then Aria is a villain) or (Rile...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 659, \"statements\": [[\"or\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 5], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"not\", [\"->\", [\"lyin...
{"split": "train", "index": 11771}
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, Sofia, Harper, Jacob, Henry, Olivia, Luke, Matthew, and Alexander. \"(Matthew is a pioneer if and only if Logan is a pioneer) or Henry i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 660, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\...
{"split": "train", "index": 11772}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Abigail, Mia, William, Luke, Olivia, Evelyn, Logan, Isabella, and Harper. \"Logan is a fool,\" Abigail mentioned. \"(if Evelyn is a sage then Logan is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 661, \"statements\": [[\"lying\", 6], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"lying\", 6]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 0], [\"tellin...
{"split": "train", "index": 11773}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Chloe, Elizabeth, Jackson, Mia, Emma, Charlotte, Riley, Lucas, and Sebastian. In Chloe's words: \"if (Sebastian is a laggard if and only if Cha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 662, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 5]], [\"telling-truth\", 1]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 5]], [\"lying\", 6]], [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 0]], ...
{"split": "train", "index": 11774}
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: William, Emily, Joseph, Aria, Lucas, Benjamin, James, Luke, and Aiden. According to William, \"(Lucas is a fool and Aiden is a sage and Luke is a fool) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 663, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 8], [\"lying\", 7]], [\"not\", [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 6], [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"and\",...
{"split": "train", "index": 11775}
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, Sebastian, Aurora, Sofia, Liam, Matthew, Scarlett, Victoria, and David. Jacob told you that (David is a sage if and only if Sofia is a sage) and (Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 664, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\...
{"split": "train", "index": 11776}
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: Isabella, Elizabeth, Matthew, Daniel, Henry, Sebastian, James, Scarlett, and Aria. Isabella noted, \"Henry is an altruist\". \"(Matthew is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 665, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 7], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2]...
{"split": "train", "index": 11777}
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, Riley, Aurora, Sofia, Zoey, Emily, Isabella, Charlotte, and Mason. \"it is not the case that (Mason is a hero),\" Grace declared. In Riley's w...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 666, \"statements\": [[\"not\", [\"not\", [\"lying\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"or\", [\"lying\", 6], [\"lying\", 5], [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"or\"...
{"split": "train", "index": 11778}
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: Daniel, Luke, Logan, Isabella, Avery, Zoey, Abigail, Lily, and Charlotte. Daniel noted, \"(Charlotte is a pioneer if and only if Isabella is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 667, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"and\", [\"...
{"split": "train", "index": 11779}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Harper, Grace, Penelope, Alexander, Jackson, Samuel, Henry, Benjamin, and Emily. \"Emily is an angel,\" Harper declared. \"it is not the case that (Emi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 668, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"or\", [\"lying\", 8], [\"lying\", 6], [\"lying\", 5], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth...
{"split": "train", "index": 11780}
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: Isabella, Henry, Emma, Ethan, Olivia, Aria, Benjamin, Daniel, and Michael. Isabella remarked, \"Benjamin is a hero\". Henry said, \"(Henry is a hero ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 669, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]], [\"and\", [\"lying\", 2], [\"telling-truth\", 8]], [\"->\", [\"lying\", 6], [\"lying\", 2]], [\"or\", [\"lying\", 4], [...
{"split": "train", "index": 11781}
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: Penelope, Henry, Scarlett, Benjamin, Sophia, Grace, Ava, Lucas, and Emma. As Penelope put it, \"if (Benjamin is a hero and Lucas is a villain and Sop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 670, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 7], [\"lying\", 4]], [\"and\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"->\", [\"telling-truth\", 3], [\"not\", [\"tellin...
{"split": "train", "index": 11782}
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, Ella, Olivia, Matthew, Mia, David, Mason, James, and Aiden. Sofia asserted: \"(James is a knave if and only if Mia is a knave) and (if Matthew...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 671, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 7], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"not\", [\"lying\", 5]]], [\"or\"...
{"split": "train", "index": 11783}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sebastian, Logan, Sophia, Ella, Mia, Jacob, Elizabeth, Daniel, and Aurora. In Sebastian's words: \"it is not the case that (Elizabeth is a fool if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 672, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"and\", [\"lying\", 3], [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"<=>\", [\"lying\", 4], [\"lying\", 5]]], [\"and\", [\"and\", [\"lying\...
{"split": "train", "index": 11784}
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: Henry, Penelope, Ella, Elizabeth, Owen, Jackson, David, Sebastian, and Ava. As Henry put it, \"(David is an angel) or (Ava is an angel or Owen is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 673, \"statements\": [[\"or\", [\"not\", [\"lying\", 6]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 1]]], [\"not\", [\"or\", [\"lying\", 8], [\"lying\", 0], [\"telling-truth\", 7]]], ...
{"split": "train", "index": 11785}
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: Ava, Jacob, Alexander, Ella, Isabella, Victoria, David, Mia, and Evelyn. Ava stated, \"it is not the case that (Ella is a laggard if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 674, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 1], [\"lying\", 8]]],...
{"split": "train", "index": 11786}
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, Alexander, Sebastian, Ethan, Zoey, Sofia, Mason, Chloe, and Olivia. Aria commented, \"(Alexander is a laggard and Mason is a pioneer and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 675, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 6], [\"telling-truth\", 1], [\"lying\", 5]], [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"or\",...
{"split": "train", "index": 11787}
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, Joseph, Abigail, Evelyn, Penelope, Sofia, Liam, Elizabeth, and Olivia. \"(if Joseph is a knave then Abigail is a knight) and (Jacob is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 676, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]], [\"lying\", 8], [\"or\", [\"lying\", 1], [\"telling-truth\", 6], [\"lying\", 5]]], [\"lying\", 0], [\"<=>\", ...
{"split": "train", "index": 11788}
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, Samuel, Ava, William, Riley, Aria, Ethan, Emily, and Isabella. \"if (Samuel is a devil) then (Zoey is an angel or Emily is a devil or William is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 677, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 7], [\"lying\", 3]]], [\"lying\", 4], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 5], [\"telling-truth\...
{"split": "train", "index": 11789}
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: Ethan, Mia, Logan, Avery, Michael, Sebastian, Riley, Grace, and Scarlett. \"if (Mia is a knave if and only if Logan is a knight) then Mia is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 678, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 7], [\"or\", [\"telling-truth\", 8], [\"lying\", 5], [\"telling-truth\", 2]]], [\"not\", [\"or\",...
{"split": "train", "index": 11790}
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: Emily, Isabella, Elizabeth, Emma, James, Scarlett, Evelyn, Noah, and Grace. \"if (Emma is a knave if and only if Elizabeth is a knight) then (Isabell...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 679, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"lying\", 5], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-...
{"split": "train", "index": 11791}
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, Mason, Aiden, Joseph, Chloe, Oliver, Charlotte, Mia, and Noah. Riley stated, \"if (Mia is a villain if and only if Mason is a villain) then (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 680, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 7], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"lying\", 8], [\"<=>\", [\"and\", [\"telling-truth\",...
{"split": "train", "index": 11792}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aurora, Liam, Emma, Sofia, Abigail, Ella, Avery, James, and Alexander. Aurora said, \"(Ella is a pioneer) or (Abigail is a pioneer and Ella is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 681, \"statements\": [[\"or\", [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 7], [\"tell...
{"split": "train", "index": 11793}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Samuel, Sofia, Logan, Owen, Mia, Riley, Daniel, Noah, and Harper. Samuel told you that Harper is a hero if and only if (Harper is a hero and Logan is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 682, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"lying\", 6], [\"lying\", 5]]], [\"or\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 0], [\"lying\",...
{"split": "train", "index": 11794}
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, Riley, Isabella, Emma, Joseph, Ava, David, Noah, and Matthew. \"Isabella is a pioneer,\" Liam declared. \"Emma is a pioneer,\" Riley decl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 683, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 0]], [\"telling-truth\", ...
{"split": "train", "index": 11795}
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, Matthew, Lucas, Benjamin, Owen, Luke, Jack, Elizabeth, and Daniel. Joseph asserted: \"Daniel is a knave\". Matthew was heard saying, \"if (Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 684, \"statements\": [[\"lying\", 8], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"not\", [\"telling-trut...
{"split": "train", "index": 11796}
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: Matthew, Riley, Scarlett, Alexander, Abigail, Sofia, Ella, Amelia, and Chloe. In a statement by Matthew: \"if (Abigail is a devil or Alexander is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 685, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 7]]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-trut...
{"split": "train", "index": 11797}
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: Avery, Aria, Aiden, Luke, Scarlett, Sebastian, Sophia, Liam, and Evelyn. Avery noted, \"Aria is a knight\". Aria stated, \"Sebastian is a knight\". A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 686, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 5], [\"<=>\", [\"lying\", 7], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"telling-truth\", 6], [\"telling-truth\", 5], [\"and\", [\"<=>\", [\"...
{"split": "train", "index": 11798}
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: Liam, Jacob, Noah, Emily, Scarlett, Ethan, Abigail, Lily, and Alexander. \"Lily is an egoist,\" Liam mentioned. Jacob stated, \"it is not the c...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 687, \"statements\": [[\"lying\", 7], [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"not\", [\"telling-tru...
{"split": "train", "index": 11799}