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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: Jack, James, Sofia, Aiden, Abigail, Oliver, Benjamin, Amelia, and Lily. Jack told you that (Amelia is a villain) or (Abigail is a villain). \"Amelia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 510, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 7], [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 8]]], [\"no...
{"split": "train", "index": 9400}
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, Scarlett, Mia, Penelope, Luke, David, Zoey, Logan, and Samuel. According to Ethan, \"(if Penelope is an egoist then Luke is an altruist)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 511, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 7], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 6], [\"telling-truth\", 3]], [\"lying\"...
{"split": "train", "index": 9401}
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: Emma, Charlotte, Owen, Penelope, Abigail, Sebastian, James, Benjamin, and Aria. In Emma's words: \"if (Penelope is a hero or Abigail is a hero or Ari...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 512, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"telling-truth\", 6], [\"or\", [\"not\", [\"telling-truth\"...
{"split": "train", "index": 9402}
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, Owen, Sophia, Emma, Harper, Lily, Ava, Ethan, and Sebastian. Olivia was heard saying, \"(Emma is a villain) or (if Ethan is a hero then Harpe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 513, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 6]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"lying\", 8]...
{"split": "train", "index": 9403}
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: Ella, Joseph, Harper, Jacob, Daniel, William, Jack, Mia, and Jackson. Ella commented, \"Mia is a pioneer\". \"Harper is a laggard or William is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 514, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"lying\", 2], [\"telling-truth\", 5]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\",...
{"split": "train", "index": 9404}
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, Chloe, Amelia, Logan, David, Alexander, Aiden, Aurora, and Aria. Mason commented, \"(Amelia is a pioneer and Chloe is a pioneer) or Alex...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 515, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 5]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 0]], [\"or\", [\"telling-truth\", 1], [\...
{"split": "train", "index": 9405}
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, David, Sofia, Lucas, Sebastian, Riley, Oliver, Aria, and Grace. In Victoria's words: \"Sofia is a villain and Riley is a hero\". David was ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 516, \"statements\": [[\"and\", [\"lying\", 2], [\"telling-truth\", 5]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 5]], [\"lying\", 7], [\"telling-truth\", 7]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8]], [...
{"split": "train", "index": 9406}
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, David, Olivia, Sophia, Grace, Oliver, Isabella, Amelia, and Sebastian. Avery commented, \"Sophia is a knave\". According to David, \"(David is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 517, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"or\", [\"lying\", 8], [\"lying\", 3], [\"telling-truth\", 5]]], [\"or\", [\"lying\", 4], [\"...
{"split": "train", "index": 9407}
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, Sebastian, Aria, Benjamin, Liam, James, Zoey, William, and Ella. As Luke put it, \"it is not the case that (Liam is a fool or Sebastian is a fool)\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 518, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"not\", [\"lying\", 3]], [\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=...
{"split": "train", "index": 9408}
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: Riley, Jacob, William, Ethan, David, Noah, Ella, Liam, and Grace. Riley commented, \"(Liam is a pioneer if and only if Ella is a pioneer) and (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 519, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"not\", [\"lying\", 4]], [\"lying\", 6]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 8]], [\"or\", [\"lying\", 5], [\"lyi...
{"split": "train", "index": 9409}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Owen, Olivia, David, Liam, Amelia, Logan, Ethan, Joseph, and Emma. Owen expressed that if (if Liam is a knave then David is a knave) then (Emma is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 520, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"telling-truth\", 1...
{"split": "train", "index": 9410}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Lily, Grace, David, Charlotte, Matthew, Lucas, Zoey, Liam, and Samuel. \"Charlotte is a devil\" - Lily. Grace noted, \"Zoey is an angel\". David told y...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 521, \"statements\": [[\"lying\", 3], [\"telling-truth\", 6], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"not\", [\"->\", [\"lying\", 4], ...
{"split": "train", "index": 9411}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Riley, Joseph, Evelyn, Liam, Noah, Ethan, Charlotte, Zoey, and Emma. In a statement by Riley: \"Joseph is a devil\". Joseph expressed that Evelyn is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 522, \"statements\": [[\"lying\", 1], [\"lying\", 2], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"...
{"split": "train", "index": 9412}
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, Aiden, Evelyn, Sophia, Riley, Logan, Mia, Sebastian, and David. Lily expressed that Logan is an egoist. \"it is not the case that (Evelyn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 523, \"statements\": [[\"lying\", 5], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-trut...
{"split": "train", "index": 9413}
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: Samuel, Victoria, Liam, Owen, Jackson, Elizabeth, Jack, Chloe, and Sophia. In Samuel's words: \"it is not the case that (Owen is a pioneer or C...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 524, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"lying\", 6], [\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\...
{"split": "train", "index": 9414}
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: Samuel, Ava, Elizabeth, Lily, Penelope, Abigail, Jack, Sofia, and Isabella. \"Isabella is a sage,\" Samuel declared. Ava noted, \"(if Sofia is a sage then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 525, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 5]], [\"or\", [\"telling-truth\", 5], [\"lying\", 7], [\"lying\", 2]]], [\"->\", [\"lying\", 6], [\"<=>\", [\"lying\", 8], [\...
{"split": "train", "index": 9415}
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: Ava, Mia, Henry, Noah, Sofia, Jackson, Samuel, Emma, and Evelyn. Ava said that (Jackson is an altruist) and (Emma is an altruist) and (Samuel i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 526, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"not\", [\"lying\", 7]], [\"and\", [\"telling-truth\", 6], [\"lying\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\",...
{"split": "train", "index": 9416}
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: Jackson, Elizabeth, Ethan, Ava, Emily, Olivia, Chloe, Harper, and Benjamin. In a statement by Jackson: \"(if Olivia is a saint then Emily is a sinner...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 527, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 8]], [\"->\", [\"lyin...
{"split": "train", "index": 9417}
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: Alexander, Michael, Logan, Scarlett, Sophia, Lily, Noah, Jackson, and Elizabeth. \"(if Logan is a devil then Noah is an angel) if and only if (Jackson ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 528, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 6]], [\"and\", [\"lying\", 7], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\"...
{"split": "train", "index": 9418}
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, Elizabeth, James, Sebastian, Ethan, Riley, Aurora, Sophia, and Scarlett. David remarked, \"(if James is a devil then David is an angel) or (Jame...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 529, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"ly...
{"split": "train", "index": 9419}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emma, Ava, Owen, Harper, Mason, Aurora, Sebastian, Jack, and David. As Emma put it, \"(if Ava is a knight then Ava is a knave) if and only if (Sebast...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 530, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"lying\", 6], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 8]], [\"and\", [\"lying\", 8]...
{"split": "train", "index": 9420}
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, Samuel, Sophia, Aiden, Chloe, Liam, Jackson, Evelyn, and Abigail. In a statement by Alexander: \"(Liam is an altruist and Aiden is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 531, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3], [\"lying\", 8]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 8]], [\"lyin...
{"split": "train", "index": 9421}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sophia, Sofia, Zoey, Mia, Aurora, Avery, Amelia, Luke, and Riley. Sophia told you that (Luke is a fool or Sophia is a sage or Sofia is a fool) or (Zoey is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 532, \"statements\": [[\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]], [\"or\", [\"lying\...
{"split": "train", "index": 9422}
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: Sophia, Charlotte, Sofia, Mia, Emma, Emily, Aiden, Isabella, and Joseph. Sophia commented, \"it is not the case that (if Sofia is a sinner then Charl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 533, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 7]], [\"lying\", 7]], [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8], ...
{"split": "train", "index": 9423}
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, Aiden, Sebastian, Joseph, Abigail, Benjamin, Owen, Mason, and Luke. Evelyn remarked, \"(Owen is a devil if and only if Benjamin is an angel) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 534, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 8], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 7]...
{"split": "train", "index": 9424}
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, Ava, Lily, Evelyn, Riley, Grace, James, Harper, and Sofia. In a statement by David: \"it is not the case that (Grace is a devil and James is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 535, \"statements\": [[\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 7]], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"and\", [\"lying\", 7], [\"lying\"...
{"split": "train", "index": 9425}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Victoria, Lucas, Sebastian, Avery, Harper, Owen, Grace, Elizabeth, and Henry. As Victoria put it, \"(Elizabeth is a laggard if and only if Harp...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 536, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]]...
{"split": "train", "index": 9426}
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: Aurora, Evelyn, Benjamin, Luke, Elizabeth, Lily, Daniel, Riley, and Harper. Aurora commented, \"(if Elizabeth is a sinner then Harper is a saint) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 537, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 8]]], [\"<=>\", [\"->\", [...
{"split": "train", "index": 9427}
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: Aria, Emily, Noah, Matthew, Evelyn, Penelope, Henry, Liam, and Mason. Aria said that (Penelope is a devil or Henry is a devil or Matthew is a devil) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 538, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 6], [\"lying\", 3]], [\"not\", [\"lying\", 7]]], [\"not\", [\"lying\", 4]], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 6], [\"lying\"...
{"split": "train", "index": 9428}
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: Grace, Oliver, Amelia, Samuel, Sebastian, Luke, Ethan, Chloe, and Aiden. In a statement by Grace: \"Chloe is a knight\". Oliver said that (if Amelia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 539, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 5], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 7], [\"lying\", 0], [\"telling-truth\", 3]],...
{"split": "train", "index": 9429}
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, Logan, Jack, Grace, James, Chloe, Ella, Charlotte, and Oliver. Victoria was heard saying, \"(Jack is a saint or Oliver is a saint or Charlo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 540, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 8], [\"lying\", 7]], [\"telling-truth\", 7]], [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]], [\"telling-truth\", 1]], [\"or\", [\"tellin...
{"split": "train", "index": 9430}
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, Amelia, Mia, Penelope, Sebastian, Jacob, Riley, Avery, and Charlotte. Zoey said, \"(Mia is a villain if and only if Avery is a villain) or (Zoe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 541, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 7]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 7], [\"lyin...
{"split": "train", "index": 9431}
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, Sebastian, Ella, David, Liam, Jack, Henry, Evelyn, and Jackson. Mia noted, \"(if Sebastian is a villain then Jack is a villain) or (Evelyn is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 542, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"lying\", 5]], [\"or\", [\"lying\", 7], [\"lying\", 6], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 6], [\"telling-truth\", 5]], [\"...
{"split": "train", "index": 9432}
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: William, Grace, Amelia, Emily, Abigail, Riley, Scarlett, Joseph, and Isabella. As William put it, \"(Scarlett is an egoist if and only if Scarl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 543, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]], [\"lying\", 5]], [\"and\", [\"lying\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"and\", [\"or\", [\"lying\", 7], [\"telling-trut...
{"split": "train", "index": 9433}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Isabella, Mason, Sophia, Ava, Aiden, Luke, Aria, Charlotte, and Ella. Isabella noted, \"(Luke is a knave) or (Sophia is a knave if and only if Sophia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 544, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"not\", [\"lyi...
{"split": "train", "index": 9434}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Noah, Alexander, Michael, Elizabeth, Samuel, Victoria, Daniel, Avery, and Lily. \"(Victoria is a fool if and only if Michael is a sage) and (Samuel is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 545, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 7], [\"telling-truth\", 2]], [\"->\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"tell...
{"split": "train", "index": 9435}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Isabella, Sophia, Ava, Lily, Liam, Abigail, Ella, Aurora, and Penelope. \"Ella is an angel,\" Isabella claimed. \"(Ava is an angel) or (Aurora is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 546, \"statements\": [[\"telling-truth\", 6], [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 7], [\"lying\", 5], [\"lying\", 0]], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth...
{"split": "train", "index": 9436}
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, Aiden, Zoey, Ella, Isabella, Matthew, Daniel, Luke, and Benjamin. Chloe noted, \"Chloe is a pioneer\". Aiden told you that (if Zoey is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 547, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 3], [...
{"split": "train", "index": 9437}
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: Luke, William, Grace, Charlotte, Aria, David, Oliver, Ethan, and Victoria. As Luke put it, \"Charlotte is a pioneer\". William was heard saying...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 548, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"telling-truth\", 5], [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"lying\", 5...
{"split": "train", "index": 9438}
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, Matthew, Harper, Aiden, Amelia, Daniel, Olivia, Mia, and Luke. Emma noted, \"(Matthew is a laggard and Harper is a laggard and Luke is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 549, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]],...
{"split": "train", "index": 9439}
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, Owen, Riley, Aurora, Alexander, Noah, Sofia, Daniel, and Emma. Ava expressed that (Owen is a sage if and only if Riley is a sage) and (Owen is a fool)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 550, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 7]]], [\"or\", [\"not\", [\"lying\", 5...
{"split": "train", "index": 9440}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Henry, Grace, Sophia, Scarlett, William, Ethan, Harper, Lucas, and Logan. Henry expressed that (Grace is a sinner if and only if William is a sinner)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 551, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 8]]]...
{"split": "train", "index": 9441}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ethan, Harper, Emma, Grace, Charlotte, Daniel, Owen, Oliver, and Lily. Ethan noted, \"(Grace is a fool or Owen is a fool or Grace is a sage) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 552, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 6], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 0], [\"telli...
{"split": "train", "index": 9442}
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: William, Emily, Aurora, Sebastian, Lucas, Liam, Ethan, Riley, and Zoey. William said, \"Emily is a knight.\" Emily asserted: \"(if Sebastian is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 553, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"not\", [\"and\"...
{"split": "train", "index": 9443}
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: Ella, Alexander, Sophia, Benjamin, Charlotte, Mason, Harper, Logan, and Oliver. Ella stated, \"(Harper is a laggard if and only if Oliver is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 554, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 8]], [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 5]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 7]], [\"or\", [\"lying\", 2], [\"telli...
{"split": "train", "index": 9444}
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, Matthew, Grace, Daniel, Emma, Sofia, Sebastian, Jackson, and Aurora. Ethan commented, \"if (if Jackson is an altruist then Sofia is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 555, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\"...
{"split": "train", "index": 9445}
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, Jacob, Noah, Daniel, Luke, James, Aria, Elizabeth, and Riley. According to Emma, \"Elizabeth is a saint\". \"if Noah is a sinner then (Jacob is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 556, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"lying\", 2], [\"and\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 8], [\"telling-truth\"...
{"split": "train", "index": 9446}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Lucas, William, Henry, James, Mia, Zoey, Aiden, Daniel, and Noah. Lucas commented, \"(Daniel is a knight if and only if Aiden is a knight) and (Noah ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 557, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 8], [\"lying\", 6], [\"telling-truth\", 6]], [\"not\", [\"lying\", 6]]], [\"and\", [\"and\", [\"lying\", ...
{"split": "train", "index": 9447}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Owen, Jackson, Aiden, Matthew, Avery, Olivia, Isabella, Evelyn, and Ella. \"it is not the case that (Olivia is a sinner or Avery is a saint),\" Owen ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 558, \"statements\": [[\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"lying\", 8], [\"or\", [\"lying\", 8], [\"telling-truth\", 7], [\"telling-truth\"...
{"split": "train", "index": 9448}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Mason, Abigail, Elizabeth, Benjamin, Henry, Aurora, Lucas, Noah, and Matthew. Mason told you that it is not the case that (Matthew is a knave or Auro...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 559, \"statements\": [[\"not\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"telling-truth\", 4], [\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\"...
{"split": "train", "index": 9449}
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: Elizabeth, Jack, Aiden, Ella, William, Emily, Owen, Ethan, and Samuel. \"(if Ella is a pioneer then Emily is a pioneer) and (Samuel is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 560, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"lying\", 7]]], [\"not\", [\"<=>\", [\"lying\", 7], [\"lying\", 0]]], [\"and\...
{"split": "train", "index": 9450}
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: Emma, Grace, Victoria, Jacob, Daniel, Owen, Emily, Penelope, and Lily. As Emma put it, \"Owen is a villain if and only if (Jacob is a villain or Dani...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 561, \"statements\": [[\"<=>\", [\"lying\", 5], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]],...
{"split": "train", "index": 9451}
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, Jacob, Noah, Elizabeth, Charlotte, William, Chloe, Mason, and Matthew. Lily remarked, \"Jacob is a fool or (if Charlotte is a fool then William is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 562, \"statements\": [[\"or\", [\"lying\", 1], [\"->\", [\"lying\", 4], [\"lying\", 5]]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 7], [\"lying\", 6]]], [\"lying...
{"split": "train", "index": 9452}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ethan, Ava, Riley, Logan, Oliver, Scarlett, Sofia, Emily, and Aurora. As Ethan put it, \"it is not the case that (Oliver is a sage and Oliver is a fool and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 563, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 6]]], [\"telling-truth\", 3], [\"not\", [\"or\", [\"lying\", 6], [\"lying\", 8], [\"telling-truth\", 6]]], [\"<=>\", [\"tell...
{"split": "train", "index": 9453}
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, Samuel, Chloe, Scarlett, Evelyn, Ava, Benjamin, Riley, and Abigail. According to Liam, \"(Evelyn is a laggard) and (if Ava is a pioneer t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 564, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"->\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"->\", [\"telling-truth\", 1], [\"->\", [\"telli...
{"split": "train", "index": 9454}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Riley, Zoey, Olivia, Aurora, Elizabeth, Daniel, Joseph, Sebastian, and Charlotte. Riley asserted: \"it is not the case that (Zoey is an egoist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 565, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\...
{"split": "train", "index": 9455}
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: Samuel, Avery, Grace, Ella, Victoria, Isabella, Alexander, Riley, and Ethan. As Samuel put it, \"if (Samuel is a knight and Avery is a knight and Eth...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 566, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"and\", [\"lying\", 1], [\"lying\", 5], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\...
{"split": "train", "index": 9456}
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: Riley, Alexander, Mason, Jack, Benjamin, Chloe, Ella, Harper, and Sofia. According to Riley, \"it is not the case that (Jack is a sinner or Chloe is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 567, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"not\", [\"lying\", 3]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]], ...
{"split": "train", "index": 9457}
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: William, Zoey, Harper, Ava, Daniel, Luke, Lily, Aiden, and Michael. William told you that it is not the case that (Aiden is an altruist or Lily...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 568, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 6]...
{"split": "train", "index": 9458}
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: Scarlett, William, Elizabeth, Ella, Grace, Noah, Sophia, Henry, and Owen. \"(Sophia is a villain or Ella is a hero) or (Scarlett is a hero or Elizabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 569, \"statements\": [[\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"->\", [\"telling-truth\", 3], [\"or\", [\"lying\", 4], [...
{"split": "train", "index": 9459}
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: Amelia, Riley, Benjamin, Matthew, Aurora, Owen, Evelyn, Samuel, and Emily. \"if (Benjamin is a villain if and only if Owen is a villain) then (Benjam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 570, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 5]], [\"or\", [\"lying\", 2], [\"lying\", 5], [\"lying\", 6]]], [\"not\", [\"not\", [\"lying\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 7...
{"split": "train", "index": 9460}
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, Joseph, Lily, Owen, Matthew, Luke, Sophia, Charlotte, and Victoria. \"Matthew is an altruist and (Lily is an altruist and Sophia is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 571, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"->\", [\"lying\", 3...
{"split": "train", "index": 9461}
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, Olivia, Benjamin, Jackson, Emily, Aiden, Matthew, Mia, and Samuel. Jack remarked, \"(Olivia is a knight if and only if Benjamin is a knight) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 572, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"lying\", 2], [\"or\", [...
{"split": "train", "index": 9462}
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: Logan, Aurora, Henry, Samuel, Mia, William, Avery, Sebastian, and Sophia. \"William is an altruist,\" Logan declared. Aurora said, \"Sophia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 573, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 8], [\"->\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 2], [\"lying\", 5]]], [\"or\", [\"->\",...
{"split": "train", "index": 9463}
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: Matthew, Owen, Jackson, Elizabeth, Jack, Aiden, Lucas, Sophia, and Joseph. Matthew was heard saying, \"(Lucas is an egoist) or Elizabeth is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 574, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 6]], [\"lying\", 3], [\"or\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"or\", [\"->\", [\"lying\", 7], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"tellin...
{"split": "train", "index": 9464}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Michael, Samuel, Mason, Aiden, Jackson, Avery, Jacob, Jack, and Aurora. \"(Jackson is an altruist) or (Aurora is an altruist if and only if Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 575, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1]]...
{"split": "train", "index": 9465}
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, Ella, Zoey, Logan, Jack, Lily, Lucas, Ava, and Victoria. Matthew was heard saying, \"(Lily is an angel or Matthew is an angel) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 576, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 0], [\"lying\...
{"split": "train", "index": 9466}
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, Alexander, Luke, Abigail, Liam, Charlotte, Grace, Emma, and Harper. Ella stated, \"it is not the case that (Alexander is a saint or Emma is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 577, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]], [\"and\", [\"lying\", 6], [\"lying\", 8], [\"telling-truth\", 4]], [\"telli...
{"split": "train", "index": 9467}
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, Avery, Grace, James, Emily, Lily, Harper, Owen, and Liam. \"(Lily is a sinner if and only if Emily is a sinner) and (if Avery is a saint then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 578, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"lying\", 0], [...
{"split": "train", "index": 9468}
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: Matthew, Samuel, Abigail, Ethan, Aiden, Isabella, Owen, Henry, and Lucas. Matthew commented, \"if (if Henry is a saint then Henry is a sinner) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 579, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 7]], [\"->\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 8]]], [\"not\", [\"or\", [\"lying\", 0]...
{"split": "train", "index": 9469}
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, Lucas, Michael, William, Sofia, Sebastian, Henry, Aria, and Chloe. Logan said that (Michael is a saint) or Henry is a sinner or Chloe is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 580, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 6], [\"lying\", 8]], [\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"<=>\", [\"telling-truth\",...
{"split": "train", "index": 9470}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Benjamin, Oliver, Abigail, Daniel, Chloe, Scarlett, David, Riley, and Olivia. Benjamin said that (Chloe is a villain if and only if Daniel is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 581, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"and\", [\...
{"split": "train", "index": 9471}
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: Henry, Sophia, Zoey, Alexander, Avery, Harper, Daniel, Matthew, and Mason. In a statement by Henry: \"Daniel is a laggard or (Mason is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 582, \"statements\": [[\"or\", [\"lying\", 6], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"lying\", 7], [\"lying\", 6], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 5], [\"lying\",...
{"split": "train", "index": 9472}
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: Daniel, Luke, Sofia, Amelia, Joseph, Lucas, Noah, Logan, and Mason. Daniel expressed that (Joseph is an egoist if and only if Amelia is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 583, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 8]], [\"or\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"and\", [\"not\", [\"telling-truth\", 8]...
{"split": "train", "index": 9473}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sofia, Sebastian, Alexander, Matthew, Jackson, Harper, Grace, Jacob, and Liam. \"(Matthew is a sage or Matthew is a fool) or (Alexander is a fool) or (Matt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 584, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth...
{"split": "train", "index": 9474}
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, Luke, Mia, Daniel, Sophia, Ella, Scarlett, Sebastian, and James. Mason commented, \"(Luke is a fool or James is a sage) if and only if (Scarlett is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 585, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 8], [\"lying\", 8]]], [\"or\", [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 6], [\"...
{"split": "train", "index": 9475}
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: Sofia, Victoria, William, Scarlett, Ava, Isabella, Olivia, Aiden, and Matthew. Sofia said, \"Victoria is a hero.\" Victoria stated, \"if (Scarlett is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 586, \"statements\": [[\"not\", [\"lying\", 1]], [\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 8], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"not\", [\"<=>\", [\"lying\", 5], [\"te...
{"split": "train", "index": 9476}
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: James, Harper, Aurora, Olivia, Aria, Mia, Jacob, David, and Liam. \"it is not the case that (Aurora is a villain and Mia is a hero)\" - James. \"if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 587, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"lying\", 4], [\"or\", [\"lying\", 6], [\"->...
{"split": "train", "index": 9477}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Sofia, Logan, Grace, Avery, Owen, William, Noah, Luke, and Lucas. \"(Grace is a devil and Avery is a devil) or (if Sofia is an angel then Grace is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 588, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"or\", [...
{"split": "train", "index": 9478}
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: Owen, Aurora, Olivia, Lily, Penelope, Lucas, Noah, Jacob, and Evelyn. Owen said that (Olivia is a villain and Noah is a villain and Lily is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 589, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"lying\", 6], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"lying\", 3], [\"and\", [\"->\", [\"lying\", 6], [\"lying\", 1]], [\"->\"...
{"split": "train", "index": 9479}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sophia, Matthew, Aria, Evelyn, Grace, Liam, Oliver, Chloe, and Logan. Sophia was heard saying, \"(Evelyn is a knight or Aria is a knight) or (Evelyn ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 590, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 8], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"lying\...
{"split": "train", "index": 9480}
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: Benjamin, William, Scarlett, Penelope, Emily, Isabella, Ethan, Lily, and Victoria. Benjamin was heard saying, \"it is not the case that (if Ethan is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 591, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 6]], ...
{"split": "train", "index": 9481}
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, Harper, Charlotte, Riley, Evelyn, Matthew, Amelia, Michael, and Henry. Victoria said, \"(Riley is a hero and Amelia is a hero and Michael i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 592, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 5], [\"not\", [\"and\", [\"tell...
{"split": "train", "index": 9482}
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, Emily, Evelyn, Jackson, Aurora, Samuel, William, and Benjamin. Liam said, \"(Jackson is an altruist and Emily is an altruist) or S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 593, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"lying\", 6]], [\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"lying\", 4]...
{"split": "train", "index": 9483}
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, William, Riley, Chloe, Logan, Evelyn, Scarlett, Aurora, and Ella. \"(Logan is an egoist or Logan is an altruist) and (Aurora is an egoist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 594, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\", 7], [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"lying\", 3], [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"<=>\"...
{"split": "train", "index": 9484}
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, Henry, Victoria, Avery, Sophia, Sofia, Daniel, Aria, and Penelope. Michael told you that Henry is a hero. Henry stated, \"(Daniel is a hero ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 595, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"or\", [\"<=>\", [\"lying\", 5], [\"telling...
{"split": "train", "index": 9485}
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: Elizabeth, Aurora, Sophia, Isabella, Harper, Sofia, Grace, Mason, and Oliver. \"it is not the case that (if Oliver is a pioneer then Oliver is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 596, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"->\", [\"lying\", 3], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"<=>\", [\"or\", [...
{"split": "train", "index": 9486}
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: Samuel, Jacob, James, Scarlett, Alexander, Henry, Abigail, Matthew, and Aurora. Samuel said that if (Aurora is a knave or Abigail is a knight or Matt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 597, \"statements\": [[\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 7], [\"lying\", 6]], [\"not\", ...
{"split": "train", "index": 9487}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aria, Emma, Jackson, Alexander, Amelia, Charlotte, David, Liam, and Victoria. In Aria's words: \"(Emma is a sinner if and only if Liam is a saint) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 598, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 2], [\"lying\", 6]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"lying\", ...
{"split": "train", "index": 9488}
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, William, Mia, Noah, Henry, Matthew, Lucas, Zoey, and David. Aurora asserted: \"Matthew is an egoist\". William told you that if (Henry ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 599, \"statements\": [[\"lying\", 5], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"telling...
{"split": "train", "index": 9489}
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, Logan, Emily, Oliver, Owen, Ethan, Alexander, James, and Lucas. \"it is not the case that (Alexander is a knight and Ethan is a knight)\" - Zoe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 600, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], ...
{"split": "train", "index": 9490}
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: Riley, Lucas, Abigail, Sophia, Sofia, Jack, Sebastian, Ella, and Lily. \"if (Lucas is a fool or Lily is a fool) then (Lucas is a sage),\" Riley declared. L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 601, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 8]], [\"not\", [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8], [\"telling-truth\", 1]]]...
{"split": "train", "index": 9491}
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: Emily, Mason, Olivia, Avery, Michael, Charlotte, Penelope, Samuel, and Mia. Emily expressed that (Penelope is a laggard if and only if Avery is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 602, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]], [\"not\", [\"lying\", 5]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 0]], [\"<=>\", [\"telling-t...
{"split": "train", "index": 9492}
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, Evelyn, Mia, Oliver, Chloe, Noah, Scarlett, Jackson, and Harper. \"(Jackson is a knave if and only if Chloe is a knight) or Harper is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 603, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]], [\"lying\", 8], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and...
{"split": "train", "index": 9493}
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: Owen, Isabella, Jacob, Henry, Avery, Olivia, Liam, Sophia, and Luke. According to Owen, \"(Liam is a laggard) and Luke is a pioneer and (if Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 604, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 8], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"t...
{"split": "train", "index": 9494}
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: David, Samuel, Zoey, Scarlett, Grace, Lily, Sebastian, Avery, and Isabella. David said, \"(if Avery is an altruist then Avery is an egoist) if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 605, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]], [\"<=>\", [\"lying\", 0], [\"ly...
{"split": "train", "index": 9495}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emily, Liam, Logan, Noah, Victoria, Mia, Isabella, Zoey, and Evelyn. Emily stated, \"(Logan is a fool and Zoey is a sage) or Liam is a sage\". In Liam's wo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 606, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 7]], [\"telling-truth\", 1]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 7]], [\"or\", ...
{"split": "train", "index": 9496}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Penelope, Abigail, Jackson, Luke, Scarlett, Aurora, Aria, Sophia, and Chloe. Penelope expressed that it is not the case that (Sophia is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 607, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 1]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]], [...
{"split": "train", "index": 9497}
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, Ella, Benjamin, Aurora, Sebastian, Jacob, Abigail, Aiden, and Jack. According to Evelyn, \"Aiden is a sinner and (Aurora is a sinner and Abig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 608, \"statements\": [[\"and\", [\"lying\", 7], [\"and\", [\"lying\", 3], [\"lying\", 6]]], [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1]], [\"...
{"split": "train", "index": 9498}
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, Charlotte, Zoey, Oliver, Sebastian, Logan, Mia, Victoria, and Henry. \"(if Victoria is an altruist then Charlotte is an egoist) and Sebas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 609, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 1]], [\"telling-truth\", 4], [\"or\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 6]], [\"and\", ...
{"split": "train", "index": 9499}