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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 5 inhabitants: Alexander, Jack, Noah, Sebastian, and Samuel. Alexander remarked, \"Alexander is an angel or Jack is a devil or Jack is an angel or Noah is an angel\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 254, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\",...
{"split": "train", "index": 4700}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Scarlett, Lucas, Avery, Michael, and Grace. Scarlett expressed that Grace is an altruist or Scarlett is an altruist or Michael is an egoist or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 255, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 4], [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-tru...
{"split": "train", "index": 4701}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Samuel, Charlotte, Joseph, Emma, and Ethan. Samuel told you that Ethan is a devil or Emma is an angel. Charlotte expressed that Ethan is a devil if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 256, \"statements\": [[\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 1]], [\"not\", [\...
{"split": "train", "index": 4702}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Noah, Aurora, Grace, and Sophia. Emma said that Noah is an egoist. Noah remarked, \"Noah is an altruist and Aurora is an altruist and Emm...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 257, \"statements\": [[\"lying\", 1], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-tru...
{"split": "train", "index": 4703}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Emma, Aiden, Luke, and Sophia. Evelyn stated, \"Emma is a knight\". \"Luke is a knight and Emma is a knight,\" Emma mentioned. \"Sophia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 258, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\...
{"split": "train", "index": 4704}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Samuel, Matthew, Owen, Ava, and Emily. In Samuel's words: \"Matthew is a devil and Matthew is an angel and Owen is an angel and Samuel is an angel\". M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 259, \"statements\": [[\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [...
{"split": "train", "index": 4705}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Jackson, Ella, Ava, and Scarlett. \"Ella is a knave if and only if Ava is a knight,\" Aiden mentioned. \"if Aiden is a knave then Ava is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 260, \"statements\": [[\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\"...
{"split": "train", "index": 4706}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Chloe, Logan, Lucas, Jacob, and Olivia. Chloe commented, \"Jacob is a sage\". \"if Chloe is a sage then Chloe is a fool,\" Logan declared. Lucas was heard ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 261, \"statements\": [[\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"...
{"split": "train", "index": 4707}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aiden, Emily, Emma, Oliver, and Sofia. Aiden noted, \"Oliver is an egoist and Aiden is an altruist\". \"Sofia is an egoist or Emily is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 262, \"statements\": [[\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling...
{"split": "train", "index": 4708}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ella, Sophia, Aurora, Sebastian, and Daniel. \"Sophia is a devil or Daniel is a devil,\" Ella declared. Sophia said that Aurora is an angel. Aurora was...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 263, \"statements\": [[\"or\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 3], [\"lying\", 2]], \"solution\": [true, true, true, false, fals...
{"split": "train", "index": 4709}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sophia, Logan, Matthew, Mia, and Chloe. Sophia noted, \"Chloe is a pioneer\". \"Sophia is a laggard,\" Logan mentioned. \"Logan is a laggard,\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 264, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 3]], \"solution\": [true, false, true, ...
{"split": "train", "index": 4710}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: David, Owen, Ava, Henry, and Sophia. David commented, \"Henry is a hero\". Owen asserted: \"if David is a villain then Henry is a hero\". Ava stated,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 265, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"lying\", 3], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], \"solution\":...
{"split": "train", "index": 4711}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Riley, Liam, Aria, Noah, and Benjamin. Riley asserted: \"Benjamin is an egoist if and only if Noah is an altruist\". Liam said, \"Benjamin is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 266, \"statements\": [[\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]], [\"or\", [\"telling-trut...
{"split": "train", "index": 4712}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Benjamin, Aiden, Samuel, and Isabella. \"Aiden is a knave,\" Chloe mentioned. Benjamin asserted: \"Chloe is a knight if and only if Samuel is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 267, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"or\", [\"lying\...
{"split": "train", "index": 4713}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ethan, Evelyn, Jack, Samuel, and Sofia. \"Evelyn is a villain,\" Ethan mentioned. As Evelyn put it, \"Ethan is a villain if and only if Sofia is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 268, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"tell...
{"split": "train", "index": 4714}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: William, Ava, Harper, Michael, and Luke. In a statement by William: \"Ava is a sinner or Michael is a saint\". Ava told you that if Ava is a saint th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 269, \"statements\": [[\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]], [\"lying\", 1], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], \"...
{"split": "train", "index": 4715}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Harper, Evelyn, Luke, Alexander, and Daniel. Harper said that Evelyn is a laggard if and only if Alexander is a laggard. Evelyn stated, \"Harpe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 270, \"statements\": [[\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-trut...
{"split": "train", "index": 4716}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Ella, Jacob, Abigail, and Victoria. David said that Ella is a knave if and only if Victoria is a knight. \"Victoria is a knight,\" Ella mentio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 271, \"statements\": [[\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 4], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 4717}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Logan, Lily, Olivia, Penelope, and Mia. Logan noted, \"if Lily is an egoist then Olivia is an altruist\". Lily told you that Mia is an egoist. ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 272, \"statements\": [[\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"lying\", 4], [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]]], \"...
{"split": "train", "index": 4718}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: James, Grace, William, Mason, and Abigail. \"William is an egoist if and only if William is an altruist\" - James. Grace remarked, \"if William...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 273, \"statements\": [[\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", ...
{"split": "train", "index": 4719}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lily, Henry, Jack, Amelia, and Emma. Lily noted, \"Jack is a sinner or Emma is a sinner or Amelia is a saint\". \"Amelia is a sinner\" - Henry. Jack ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 274, \"statements\": [[\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [...
{"split": "train", "index": 4720}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Abigail, Avery, Samuel, Ava, and William. Abigail noted, \"Ava is an egoist\". Avery said that Samuel is an egoist. Samuel told you that Ava is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 275, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-...
{"split": "train", "index": 4721}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Victoria, Joseph, Chloe, and Jackson. \"Jackson is a knight or Jackson is a knave\" - Daniel. According to Victoria, \"Daniel is a knave if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 276, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 4], [\"->\", [\"telling-truth\", ...
{"split": "train", "index": 4722}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Luke, Oliver, Mason, Olivia, and Liam. \"Oliver is a villain,\" Luke mentioned. Oliver said, \"if Olivia is a hero then Luke is a villain.\" Mason st...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 277, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling...
{"split": "train", "index": 4723}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: David, Lucas, Aiden, Elizabeth, and Ella. \"if Aiden is an angel then Aiden is a devil,\" David mentioned. Lucas asserted: \"Aiden is a devil and Eliza...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 278, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"...
{"split": "train", "index": 4724}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Luke, Jack, Alexander, and Logan. \"Luke is a knight if and only if Luke is a knave,\" James declared. Luke told you that James is a knight. J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 279, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 0]], [...
{"split": "train", "index": 4725}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sofia, Owen, Logan, Olivia, and Amelia. Sofia told you that Logan is a sage or Amelia is a fool or Owen is a fool. According to Owen, \"Logan is a sage\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 280, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 1]], [\"telling-truth\", 2], [\"lying\", 0], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-trut...
{"split": "train", "index": 4726}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jack, Lucas, Noah, Charlotte, and James. \"Noah is a devil and Charlotte is a devil,\" Jack mentioned. As Lucas put it, \"Jack is a devil if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 281, \"statements\": [[\"and\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"telling...
{"split": "train", "index": 4727}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jack, Aiden, Sebastian, Ava, and Daniel. Jack remarked, \"Daniel is an angel and Aiden is an angel and Jack is an angel and Ava is a devil\". Aiden exp...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 282, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-t...
{"split": "train", "index": 4728}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Isabella, Chloe, Ethan, Samuel, and Noah. Isabella commented, \"Ethan is an egoist\". Chloe stated, \"Isabella is an altruist\". Ethan was hear...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 283, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"lying\", 3], [\"or\", [\"lying\", 0], [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], \"solution\": [true,...
{"split": "train", "index": 4729}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Ethan, Joseph, Ava, and Liam. \"if Ethan is a knight then Ava is a knight,\" Chloe declared. In Ethan's words: \"if Ava is a knight then Ava i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 284, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"t...
{"split": "train", "index": 4730}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Logan, Lily, Evelyn, Charlotte, and Matthew. Logan asserted: \"if Charlotte is a sinner then Lily is a saint\". Lily said, \"Logan is a saint and Cha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 285, \"statements\": [[\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"-...
{"split": "train", "index": 4731}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Logan, Isabella, Michael, James, and Joseph. Logan noted, \"Joseph is an angel or James is an angel or James is a devil or Michael is an angel\". Isabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 286, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"no...
{"split": "train", "index": 4732}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: David, Oliver, Harper, Riley, and Mia. David said, \"David is an altruist and Riley is an egoist and Harper is an egoist and Mia is an altruist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 287, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\"...
{"split": "train", "index": 4733}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jacob, Sofia, Samuel, Logan, and Harper. Jacob told you that Logan is a fool and Sofia is a fool and Jacob is a sage and Samuel is a sage. In a statement b...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 288, \"statements\": [[\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"te...
{"split": "train", "index": 4734}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Henry, James, Isabella, Charlotte, and Emily. Henry asserted: \"James is a sinner if and only if Isabella is a sinner\". James said that if Emily is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 289, \"statements\": [[\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [...
{"split": "train", "index": 4735}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mason, Victoria, Ella, Owen, and Alexander. Mason said that Victoria is a hero if and only if Alexander is a villain. Victoria told you that Ella is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 290, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 2], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]], [\"telling-truth\", 3]], \"solution\": [false, fals...
{"split": "train", "index": 4736}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Henry, Chloe, Noah, Joseph, and Oliver. Henry told you that Noah is a devil or Oliver is an angel. \"Henry is an angel,\" Chloe declared. Noah told you...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 291, \"statements\": [[\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 2]], [\"or\", [...
{"split": "train", "index": 4737}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Harper, Jacob, Lily, Aria, and Victoria. \"Lily is a sinner or Jacob is a saint,\" Harper mentioned. In Jacob's words: \"Victoria is a saint and Vict...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 292, \"statements\": [[\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0...
{"split": "train", "index": 4738}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mason, Michael, Jack, Sebastian, and Noah. \"Michael is a sinner and Noah is a sinner and Jack is a sinner and Jack is a saint,\" Mason mentioned. \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 293, \"statements\": [[\"and\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0]...
{"split": "train", "index": 4739}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Elizabeth, Emma, Owen, Riley, and Avery. Elizabeth remarked, \"Owen is a villain or Avery is a villain\". \"Riley is a villain if and only if Riley i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 294, \"statements\": [[\"or\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\",...
{"split": "train", "index": 4740}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ella, Chloe, Ava, Lily, and Benjamin. Ella noted, \"Benjamin is a devil and Chloe is an angel and Lily is a devil and Lily is an angel\". Chloe was hea...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 295, \"statements\": [[\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3]], [\"lying\", 2], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\...
{"split": "train", "index": 4741}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ava, Victoria, Ethan, Ella, and Jacob. Ava remarked, \"Ethan is an angel if and only if Ella is an angel\". \"Ethan is an angel if and only if Ella is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 296, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 2]],...
{"split": "train", "index": 4742}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Liam, Sofia, Matthew, Harper, and Noah. \"Sofia is an angel,\" Liam claimed. \"Harper is a devil if and only if Sofia is an angel,\" Sofia mentioned. M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 297, \"statements\": [[\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 0], [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\...
{"split": "train", "index": 4743}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jack, Elizabeth, Ava, Harper, and Sebastian. \"Sebastian is a sage,\" Jack mentioned. Elizabeth was heard saying, \"Ava is a fool if and only if Sebastian ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 298, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 0], [\...
{"split": "train", "index": 4744}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Amelia, Liam, Olivia, Lucas, and Ella. Amelia commented, \"Liam is a villain or Lucas is a villain or Ella is a hero or Amelia is a hero\". Liam rema...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 299, \"statements\": [[\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 0], [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 3], [\"tel...
{"split": "train", "index": 4745}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Noah, Sebastian, Elizabeth, Sophia, and Emma. As Noah put it, \"Sophia is an egoist or Noah is an altruist or Emma is an altruist or Sebastian ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 300, \"statements\": [[\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0], [\"te...
{"split": "train", "index": 4746}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sofia, Chloe, James, Grace, and William. As Sofia put it, \"William is a laggard or Chloe is a laggard or Grace is a laggard\". As Chloe put it...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 301, \"statements\": [[\"or\", [\"lying\", 4], [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]], [\"lying\", 1], [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], \"solution\": [true, false,...
{"split": "train", "index": 4747}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Owen, Daniel, Michael, and Ava. As Jack put it, \"Michael is a saint\". In a statement by Owen: \"if Ava is a sinner then Jack is a sinner\". \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 302, \"statements\": [[\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telli...
{"split": "train", "index": 4748}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Matthew, Victoria, Samuel, and Noah. Lucas expressed that Noah is a knight if and only if Matthew is a knight. \"if Matthew is a knight then S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 303, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\"...
{"split": "train", "index": 4749}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aria, Amelia, Isabella, James, and Oliver. Aria stated, \"Amelia is a sinner and Aria is a saint\". Amelia expressed that if James is a saint then Is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 304, \"statements\": [[\"and\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\",...
{"split": "train", "index": 4750}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Luke, Liam, William, Charlotte, and Lily. Luke commented, \"Lily is a devil or Charlotte is a devil or Luke is an angel or Lily is an angel\". In a sta...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 305, \"statements\": [[\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]], [\...
{"split": "train", "index": 4751}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Oliver, Grace, James, Sophia, and Lucas. Oliver noted, \"Grace is a fool and Sophia is a sage\". According to Grace, \"Lucas is a fool\". James said, \"Luc...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 306, \"statements\": [[\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"tellin...
{"split": "train", "index": 4752}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Oliver, Sebastian, Matthew, Owen, and Harper. Oliver remarked, \"Oliver is a hero and Harper is a hero and Matthew is a hero\". \"Owen is a hero,\" S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 307, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\...
{"split": "train", "index": 4753}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Amelia, Victoria, Jack, Lily, and Emma. Amelia told you that Lily is an egoist or Victoria is an altruist or Victoria is an egoist. According t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 308, \"statements\": [[\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"not\", [\"telling-truth\", 4]], [\"and\", ...
{"split": "train", "index": 4754}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Olivia, Ethan, Aurora, Ava, and Avery. Olivia told you that Avery is an angel. Ethan told you that Aurora is an angel. Aurora said that Avery is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 309, \"statements\": [[\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\"...
{"split": "train", "index": 4755}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Ethan, Owen, Elizabeth, and James. Alexander told you that James is a villain. Ethan said that Elizabeth is a hero and James is a villain ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 310, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 0]], [\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\...
{"split": "train", "index": 4756}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aurora, Samuel, Riley, Evelyn, and Penelope. According to Aurora, \"Samuel is a laggard or Riley is a laggard\". Samuel noted, \"Aurora is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 311, \"statements\": [[\"or\", [\"lying\", 1], [\"lying\", 2]], [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], \"solution\": [true, true, false, true, ...
{"split": "train", "index": 4757}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Henry, Sofia, Jacob, Luke, and Sophia. \"Sofia is a hero if and only if Luke is a villain,\" Henry mentioned. \"Jacob is a hero if and only if Jacob ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 312, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\",...
{"split": "train", "index": 4758}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aurora, Joseph, Harper, Sophia, and Daniel. Aurora stated, \"Daniel is an angel if and only if Sophia is an angel\". In a statement by Joseph: \"Aurora...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 313, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\...
{"split": "train", "index": 4759}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Daniel, Matthew, Elizabeth, Evelyn, and Noah. Daniel asserted: \"if Matthew is a villain then Elizabeth is a hero\". Matthew asserted: \"Evelyn is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 314, \"statements\": [[\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 0], [\"telling-truth\", 0]]...
{"split": "train", "index": 4760}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Charlotte, Evelyn, Zoey, Isabella, and Olivia. \"Isabella is a saint,\" Charlotte declared. \"Charlotte is a sinner if and only if Olivia is a saint,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 315, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\",...
{"split": "train", "index": 4761}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Scarlett, Owen, Emily, Mason, and Michael. In Scarlett's words: \"Mason is a devil\". Owen said that Scarlett is an angel if and only if Emily is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 316, \"statements\": [[\"lying\", 3], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-tr...
{"split": "train", "index": 4762}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Matthew, Logan, Emma, Joseph, and Amelia. Matthew said that Logan is a saint. Logan asserted: \"Logan is a saint if and only if Amelia is a saint\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 317, \"statements\": [[\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telli...
{"split": "train", "index": 4763}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Luke, Evelyn, Jacob, Lily, and Victoria. In Luke's words: \"Victoria is a laggard if and only if Evelyn is a pioneer\". Evelyn asserted: \"Jaco...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 318, \"statements\": [[\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 2]], \"solution\...
{"split": "train", "index": 4764}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Sofia, Sebastian, Victoria, and Lily. Amelia asserted: \"Sebastian is a knight or Victoria is a knight or Sofia is a knave or Victoria is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 319, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\"...
{"split": "train", "index": 4765}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: David, Oliver, Victoria, Jackson, and Daniel. David expressed that if Oliver is a devil then Victoria is an angel. According to Oliver, \"Jackson is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 320, \"statements\": [[\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 3], [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"...
{"split": "train", "index": 4766}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Scarlett, Owen, Ava, Aria, and Ella. \"Ava is a pioneer or Ella is a laggard or Owen is a pioneer,\" Scarlett claimed. In a statement by Owen: ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 321, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 4], [\"not...
{"split": "train", "index": 4767}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Riley, Chloe, Abigail, Mia, and Henry. Riley said, \"Henry is a pioneer or Chloe is a pioneer or Mia is a pioneer or Mia is a laggard.\" As Chl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 322, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 3]], [\"lying\", 0], [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 1...
{"split": "train", "index": 4768}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Oliver, James, Aria, Liam, and Zoey. Oliver told you that Liam is a saint. James said that Liam is a saint. Aria told you that James is a saint or Li...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 323, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 0],...
{"split": "train", "index": 4769}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Victoria, Sebastian, Joseph, and James. According to Penelope, \"Victoria is a knight\". \"Joseph is a knight,\" Victoria declared. In a st...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 324, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 1...
{"split": "train", "index": 4770}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Matthew, Isabella, Penelope, Victoria, and Sebastian. Matthew stated, \"Sebastian is a saint if and only if Isabella is a sinner\". In Isabella's wor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 325, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]], [\...
{"split": "train", "index": 4771}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Noah, David, James, Jack, and Joseph. As Noah put it, \"Jack is a devil or Joseph is an angel or Jack is an angel or David is a devil\". David expresse...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 326, \"statements\": [[\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3...
{"split": "train", "index": 4772}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Harper, Michael, Noah, and Luke. According to Liam, \"Harper is a laggard or Harper is a pioneer or Noah is a pioneer or Liam is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 327, \"statements\": [[\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-...
{"split": "train", "index": 4773}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Scarlett, Luke, Aurora, and Evelyn. Penelope said that Luke is a knight or Luke is a knave or Aurora is a knave or Scarlett is a knight. As...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 328, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 0...
{"split": "train", "index": 4774}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jacob, Evelyn, James, David, and Joseph. Jacob said, \"Joseph is a hero.\" \"Joseph is a hero,\" Evelyn claimed. In a statement by James: \"if Jacob ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 329, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 4], [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 0]...
{"split": "train", "index": 4775}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Matthew, Riley, David, Amelia, and Chloe. Matthew said, \"Amelia is a fool.\" Riley said, \"if Amelia is a sage then Amelia is a fool.\" \"if Amelia is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 330, \"statements\": [[\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 0]]], \"solution...
{"split": "train", "index": 4776}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aurora, Logan, Olivia, James, and Oliver. \"Olivia is an angel or James is a devil or James is an angel\" - Aurora. In Logan's words: \"James is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 331, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 0], [\"or\", [\"lying\", ...
{"split": "train", "index": 4777}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Grace, Oliver, Charlotte, Owen, and Ethan. \"Oliver is a hero if and only if Charlotte is a hero,\" Grace declared. In a statement by Oliver: \"if Ch...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 332, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"lying\"...
{"split": "train", "index": 4778}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ava, Owen, Ethan, Noah, and Aurora. As Ava put it, \"Ethan is a hero and Ethan is a villain\". Owen expressed that Noah is a villain or Aurora is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 333, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"t...
{"split": "train", "index": 4779}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ella, Riley, Emma, Penelope, and Liam. As Ella put it, \"Liam is a fool and Penelope is a fool and Riley is a fool\". Riley stated, \"Riley is a sage or El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 334, \"statements\": [[\"and\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"tel...
{"split": "train", "index": 4780}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Henry, Aria, Samuel, Avery, and Amelia. Henry told you that Avery is a devil and Amelia is an angel. In Aria's words: \"Avery is a devil if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 335, \"statements\": [[\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\"...
{"split": "train", "index": 4781}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Oliver, Emily, Benjamin, Emma, and Joseph. Oliver told you that Emma is a laggard or Oliver is a pioneer or Emily is a laggard. Emily said, \"J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 336, \"statements\": [[\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"...
{"split": "train", "index": 4782}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Zoey, Luke, Ella, Emily, and Sofia. Zoey said that Luke is a villain or Emily is a hero or Sofia is a hero. Luke was heard saying, \"Sofia is a hero\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 337, \"statements\": [[\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-...
{"split": "train", "index": 4783}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Harper, Elizabeth, Aurora, Mia, and Penelope. Harper asserted: \"if Harper is a sage then Mia is a fool\". Elizabeth noted, \"Mia is a sage\". In Aurora's ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 338, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 3], [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]], \"solutio...
{"split": "train", "index": 4784}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Alexander, Abigail, James, Jack, and Scarlett. \"if Abigail is a fool then Abigail is a sage,\" Alexander declared. Abigail told you that Scarlett is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 339, \"statements\": [[\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 2...
{"split": "train", "index": 4785}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Oliver, Victoria, Benjamin, Grace, and Logan. As Oliver put it, \"Oliver is a saint or Victoria is a saint\". \"if Grace is a saint then Benjamin is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 340, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 2]]...
{"split": "train", "index": 4786}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sebastian, Abigail, David, Benjamin, and Luke. Sebastian stated, \"Benjamin is a fool\". In Abigail's words: \"if Sebastian is a sage then Luke is a fool\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 341, \"statements\": [[\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], \"solution\": [fa...
{"split": "train", "index": 4787}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: William, Michael, Scarlett, Riley, and Avery. In a statement by William: \"Scarlett is an egoist or Avery is an altruist\". Michael remarked, \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 342, \"statements\": [[\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-...
{"split": "train", "index": 4788}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, William, Noah, Joseph, and Alexander. Lucas asserted: \"Joseph is a knave if and only if Noah is a knave\". William asserted: \"Alexander is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 343, \"statements\": [[\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 0], [\"lying\", 3]], \"solution\": [false...
{"split": "train", "index": 4789}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aurora, Aria, Ethan, Luke, and Noah. Aurora commented, \"if Aria is a hero then Luke is a hero\". \"Luke is a villain,\" Aria claimed. Ethan said, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 344, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", ...
{"split": "train", "index": 4790}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Matthew, Logan, Isabella, Jackson, and William. In Matthew's words: \"Logan is a laggard\". Logan noted, \"Jackson is a laggard or Jackson is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 345, \"statements\": [[\"lying\", 1], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]...
{"split": "train", "index": 4791}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lucas, Emily, Sophia, Zoey, and Charlotte. Lucas was heard saying, \"Emily is a sage if and only if Charlotte is a fool\". According to Emily, \"Sophia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 346, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"lyin...
{"split": "train", "index": 4792}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Charlotte, Liam, Olivia, and Luke. \"Charlotte is a knave if and only if Luke is a knight,\" Oliver claimed. Charlotte said that Olivia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 347, \"statements\": [[\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\...
{"split": "train", "index": 4793}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jacob, Zoey, Matthew, Aria, and Noah. In a statement by Jacob: \"Noah is a sinner if and only if Zoey is a sinner\". Zoey commented, \"Aria is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 348, \"statements\": [[\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]], [\"lying\", 1]], \"solution\": [false, false, tr...
{"split": "train", "index": 4794}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: James, Amelia, Riley, Owen, and Joseph. James stated, \"Joseph is a devil\". Amelia asserted: \"Riley is an angel if and only if James is a devil\". \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 349, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [...
{"split": "train", "index": 4795}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Samuel, Lily, Jack, Henry, and William. Samuel commented, \"Jack is a saint\". In a statement by Lily: \"Henry is a sinner and William is a sinner an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 350, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling...
{"split": "train", "index": 4796}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Owen, Amelia, Ethan, and Jacob. In a statement by Aria: \"Aria is a knight and Owen is a knight and Owen is a knave\". As Owen put it, \"if Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 351, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0...
{"split": "train", "index": 4797}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Michael, Charlotte, Ava, Sophia, and Zoey. Michael commented, \"Sophia is a hero and Zoey is a hero\". In Charlotte's words: \"Michael is a villain\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 352, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\", 0], [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 0]], [\"telling-truth\", 2], [\"<=>\", [\"telling-t...
{"split": "train", "index": 4798}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Sophia, Evelyn, Matthew, and David. Aurora commented, \"Matthew is a knight if and only if Sophia is a knight\". \"David is a knave,\" Sophia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 353, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"lying\", 4], [\"lying\", 0], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"ly...
{"split": "train", "index": 4799}